Created
May 19, 2020 17:33
-
-
Save DreamLinuxer/5c054ba8d901f0e041f8f9627b21dc3b to your computer and use it in GitHub Desktop.
This file contains hidden or bidirectional Unicode text that may be interpreted or compiled differently than what appears below. To review, open the file in an editor that reveals hidden Unicode characters.
Learn more about bidirectional Unicode characters
| ⟪ ⇒ ∣ | |
| dist ⊚ | |
| (uniti₊l ⊚ swap₊) ⊚ | |
| (id↔ ⊕ η) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| ((id↔ ⊕ | |
| (id↔ ⊗ | |
| ((id↔ ⊗ swap₊) ⊚ | |
| (swap⋆ ⊚ dist ⊚ (swap⋆ ⊕ swap⋆)) ⊚ | |
| ((swap₊ ⊗ id↔) ⊕ id↔) ⊚ (swap⋆ ⊕ swap⋆) ⊚ factor ⊚ swap⋆))) | |
| ⊕ id↔) | |
| ⊚ | |
| (factor ⊕ id↔) ⊚ | |
| ((assocl⋆ ⊚ | |
| (swap⋆ ⊗ id↔) ⊚ | |
| assocr⋆ ⊚ | |
| dist ⊚ | |
| ((id↔ ⊗ | |
| ((swap⋆ ⊚ dist ⊚ (swap⋆ ⊕ swap⋆)) ⊚ | |
| (id↔ ⊕ (swap₊ ⊗ id↔)) ⊚ (swap⋆ ⊕ swap⋆) ⊚ factor ⊚ swap⋆)) | |
| ⊕ (id↔ ⊗ (swap₊ ⊗ id↔))) | |
| ⊚ factor ⊚ assocl⋆ ⊚ (swap⋆ ⊗ id↔) ⊚ assocr⋆) | |
| ⊕ id↔) | |
| ⊚ | |
| (((id↔ ⊗ ((dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ (swap₊ ⊗ id↔))) | |
| ⊚ | |
| (assocl⋆ ⊚ | |
| ((swap⋆ ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ swap⋆) ⊗ id↔) ⊚ | |
| assocr⋆) | |
| ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ 𝔽 , 𝔽 , 𝔽 ⟧⟫ | |
| ∷ | |
| ⟪ ⇒ ∣ | |
| id↔ ⊚ | |
| (uniti₊l ⊚ swap₊) ⊚ | |
| (id↔ ⊕ η) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| ((id↔ ⊕ | |
| (id↔ ⊗ | |
| ((id↔ ⊗ swap₊) ⊚ | |
| (swap⋆ ⊚ dist ⊚ (swap⋆ ⊕ swap⋆)) ⊚ | |
| ((swap₊ ⊗ id↔) ⊕ id↔) ⊚ (swap⋆ ⊕ swap⋆) ⊚ factor ⊚ swap⋆))) | |
| ⊕ id↔) | |
| ⊚ | |
| (factor ⊕ id↔) ⊚ | |
| ((assocl⋆ ⊚ | |
| (swap⋆ ⊗ id↔) ⊚ | |
| assocr⋆ ⊚ | |
| dist ⊚ | |
| ((id↔ ⊗ | |
| ((swap⋆ ⊚ dist ⊚ (swap⋆ ⊕ swap⋆)) ⊚ | |
| (id↔ ⊕ (swap₊ ⊗ id↔)) ⊚ (swap⋆ ⊕ swap⋆) ⊚ factor ⊚ swap⋆)) | |
| ⊕ (id↔ ⊗ (swap₊ ⊗ id↔))) | |
| ⊚ factor ⊚ assocl⋆ ⊚ (swap⋆ ⊗ id↔) ⊚ assocr⋆) | |
| ⊕ id↔) | |
| ⊚ | |
| (((id↔ ⊗ ((dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ (swap₊ ⊗ id↔))) | |
| ⊚ | |
| (assocl⋆ ⊚ | |
| ((swap⋆ ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ swap⋆) ⊗ id↔) ⊚ | |
| assocr⋆) | |
| ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₁ (tt , 𝔽 , 𝔽) ⟧⟫ | |
| ∷ | |
| ⟪ ⇒ ∣ | |
| (uniti₊l ⊚ swap₊) ⊚ | |
| (id↔ ⊕ η) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| ((id↔ ⊕ | |
| (id↔ ⊗ | |
| ((id↔ ⊗ swap₊) ⊚ | |
| (swap⋆ ⊚ dist ⊚ (swap⋆ ⊕ swap⋆)) ⊚ | |
| ((swap₊ ⊗ id↔) ⊕ id↔) ⊚ (swap⋆ ⊕ swap⋆) ⊚ factor ⊚ swap⋆))) | |
| ⊕ id↔) | |
| ⊚ | |
| (factor ⊕ id↔) ⊚ | |
| ((assocl⋆ ⊚ | |
| (swap⋆ ⊗ id↔) ⊚ | |
| assocr⋆ ⊚ | |
| dist ⊚ | |
| ((id↔ ⊗ | |
| ((swap⋆ ⊚ dist ⊚ (swap⋆ ⊕ swap⋆)) ⊚ | |
| (id↔ ⊕ (swap₊ ⊗ id↔)) ⊚ (swap⋆ ⊕ swap⋆) ⊚ factor ⊚ swap⋆)) | |
| ⊕ (id↔ ⊗ (swap₊ ⊗ id↔))) | |
| ⊚ factor ⊚ assocl⋆ ⊚ (swap⋆ ⊗ id↔) ⊚ assocr⋆) | |
| ⊕ id↔) | |
| ⊚ | |
| (((id↔ ⊗ ((dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ (swap₊ ⊗ id↔))) | |
| ⊚ | |
| (assocl⋆ ⊚ | |
| ((swap⋆ ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ swap⋆) ⊗ id↔) ⊚ | |
| assocr⋆) | |
| ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₁ (tt , 𝔽 , 𝔽) ⟧⟫ | |
| ∷ | |
| ⟪ ⇒ ∣ | |
| (id↔ ⊚ swap₊) ⊚ | |
| (id↔ ⊕ η) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| ((id↔ ⊕ | |
| (id↔ ⊗ | |
| ((id↔ ⊗ swap₊) ⊚ | |
| (swap⋆ ⊚ dist ⊚ (swap⋆ ⊕ swap⋆)) ⊚ | |
| ((swap₊ ⊗ id↔) ⊕ id↔) ⊚ (swap⋆ ⊕ swap⋆) ⊚ factor ⊚ swap⋆))) | |
| ⊕ id↔) | |
| ⊚ | |
| (factor ⊕ id↔) ⊚ | |
| ((assocl⋆ ⊚ | |
| (swap⋆ ⊗ id↔) ⊚ | |
| assocr⋆ ⊚ | |
| dist ⊚ | |
| ((id↔ ⊗ | |
| ((swap⋆ ⊚ dist ⊚ (swap⋆ ⊕ swap⋆)) ⊚ | |
| (id↔ ⊕ (swap₊ ⊗ id↔)) ⊚ (swap⋆ ⊕ swap⋆) ⊚ factor ⊚ swap⋆)) | |
| ⊕ (id↔ ⊗ (swap₊ ⊗ id↔))) | |
| ⊚ factor ⊚ assocl⋆ ⊚ (swap⋆ ⊗ id↔) ⊚ assocr⋆) | |
| ⊕ id↔) | |
| ⊚ | |
| (((id↔ ⊗ ((dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ (swap₊ ⊗ id↔))) | |
| ⊚ | |
| (assocl⋆ ⊚ | |
| ((swap⋆ ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ swap⋆) ⊗ id↔) ⊚ | |
| assocr⋆) | |
| ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₂ (inj₁ (tt , 𝔽 , 𝔽)) ⟧⟫ | |
| ∷ | |
| ⟪ ⇒ ∣ | |
| swap₊ ⊚ | |
| (id↔ ⊕ η) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| ((id↔ ⊕ | |
| (id↔ ⊗ | |
| ((id↔ ⊗ swap₊) ⊚ | |
| (swap⋆ ⊚ dist ⊚ (swap⋆ ⊕ swap⋆)) ⊚ | |
| ((swap₊ ⊗ id↔) ⊕ id↔) ⊚ (swap⋆ ⊕ swap⋆) ⊚ factor ⊚ swap⋆))) | |
| ⊕ id↔) | |
| ⊚ | |
| (factor ⊕ id↔) ⊚ | |
| ((assocl⋆ ⊚ | |
| (swap⋆ ⊗ id↔) ⊚ | |
| assocr⋆ ⊚ | |
| dist ⊚ | |
| ((id↔ ⊗ | |
| ((swap⋆ ⊚ dist ⊚ (swap⋆ ⊕ swap⋆)) ⊚ | |
| (id↔ ⊕ (swap₊ ⊗ id↔)) ⊚ (swap⋆ ⊕ swap⋆) ⊚ factor ⊚ swap⋆)) | |
| ⊕ (id↔ ⊗ (swap₊ ⊗ id↔))) | |
| ⊚ factor ⊚ assocl⋆ ⊚ (swap⋆ ⊗ id↔) ⊚ assocr⋆) | |
| ⊕ id↔) | |
| ⊚ | |
| (((id↔ ⊗ ((dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ (swap₊ ⊗ id↔))) | |
| ⊚ | |
| (assocl⋆ ⊚ | |
| ((swap⋆ ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ swap⋆) ⊗ id↔) ⊚ | |
| assocr⋆) | |
| ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₂ (inj₁ (tt , 𝔽 , 𝔽)) ⟧⟫ | |
| ∷ | |
| ⟪ ⇒ ∣ | |
| id↔ ⊚ | |
| (id↔ ⊕ η) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| ((id↔ ⊕ | |
| (id↔ ⊗ | |
| ((id↔ ⊗ swap₊) ⊚ | |
| (swap⋆ ⊚ dist ⊚ (swap⋆ ⊕ swap⋆)) ⊚ | |
| ((swap₊ ⊗ id↔) ⊕ id↔) ⊚ (swap⋆ ⊕ swap⋆) ⊚ factor ⊚ swap⋆))) | |
| ⊕ id↔) | |
| ⊚ | |
| (factor ⊕ id↔) ⊚ | |
| ((assocl⋆ ⊚ | |
| (swap⋆ ⊗ id↔) ⊚ | |
| assocr⋆ ⊚ | |
| dist ⊚ | |
| ((id↔ ⊗ | |
| ((swap⋆ ⊚ dist ⊚ (swap⋆ ⊕ swap⋆)) ⊚ | |
| (id↔ ⊕ (swap₊ ⊗ id↔)) ⊚ (swap⋆ ⊕ swap⋆) ⊚ factor ⊚ swap⋆)) | |
| ⊕ (id↔ ⊗ (swap₊ ⊗ id↔))) | |
| ⊚ factor ⊚ assocl⋆ ⊚ (swap⋆ ⊗ id↔) ⊚ assocr⋆) | |
| ⊕ id↔) | |
| ⊚ | |
| (((id↔ ⊗ ((dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ (swap₊ ⊗ id↔))) | |
| ⊚ | |
| (assocl⋆ ⊚ | |
| ((swap⋆ ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ swap⋆) ⊗ id↔) ⊚ | |
| assocr⋆) | |
| ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₁ (inj₁ (tt , 𝔽 , 𝔽)) ⟧⟫ | |
| ∷ | |
| ⟪ ⇒ ∣ | |
| (id↔ ⊕ η) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| ((id↔ ⊕ | |
| (id↔ ⊗ | |
| ((id↔ ⊗ swap₊) ⊚ | |
| (swap⋆ ⊚ dist ⊚ (swap⋆ ⊕ swap⋆)) ⊚ | |
| ((swap₊ ⊗ id↔) ⊕ id↔) ⊚ (swap⋆ ⊕ swap⋆) ⊚ factor ⊚ swap⋆))) | |
| ⊕ id↔) | |
| ⊚ | |
| (factor ⊕ id↔) ⊚ | |
| ((assocl⋆ ⊚ | |
| (swap⋆ ⊗ id↔) ⊚ | |
| assocr⋆ ⊚ | |
| dist ⊚ | |
| ((id↔ ⊗ | |
| ((swap⋆ ⊚ dist ⊚ (swap⋆ ⊕ swap⋆)) ⊚ | |
| (id↔ ⊕ (swap₊ ⊗ id↔)) ⊚ (swap⋆ ⊕ swap⋆) ⊚ factor ⊚ swap⋆)) | |
| ⊕ (id↔ ⊗ (swap₊ ⊗ id↔))) | |
| ⊚ factor ⊚ assocl⋆ ⊚ (swap⋆ ⊗ id↔) ⊚ assocr⋆) | |
| ⊕ id↔) | |
| ⊚ | |
| (((id↔ ⊗ ((dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ (swap₊ ⊗ id↔))) | |
| ⊚ | |
| (assocl⋆ ⊚ | |
| ((swap⋆ ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ swap⋆) ⊗ id↔) ⊚ | |
| assocr⋆) | |
| ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₁ (inj₁ (tt , 𝔽 , 𝔽)) ⟧⟫ | |
| ∷ | |
| ⟪ ⇒ ∣ | |
| (id↔ ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| ((id↔ ⊕ | |
| (id↔ ⊗ | |
| ((id↔ ⊗ swap₊) ⊚ | |
| (swap⋆ ⊚ dist ⊚ (swap⋆ ⊕ swap⋆)) ⊚ | |
| ((swap₊ ⊗ id↔) ⊕ id↔) ⊚ (swap⋆ ⊕ swap⋆) ⊚ factor ⊚ swap⋆))) | |
| ⊕ id↔) | |
| ⊚ | |
| (factor ⊕ id↔) ⊚ | |
| ((assocl⋆ ⊚ | |
| (swap⋆ ⊗ id↔) ⊚ | |
| assocr⋆ ⊚ | |
| dist ⊚ | |
| ((id↔ ⊗ | |
| ((swap⋆ ⊚ dist ⊚ (swap⋆ ⊕ swap⋆)) ⊚ | |
| (id↔ ⊕ (swap₊ ⊗ id↔)) ⊚ (swap⋆ ⊕ swap⋆) ⊚ factor ⊚ swap⋆)) | |
| ⊕ (id↔ ⊗ (swap₊ ⊗ id↔))) | |
| ⊚ factor ⊚ assocl⋆ ⊚ (swap⋆ ⊗ id↔) ⊚ assocr⋆) | |
| ⊕ id↔) | |
| ⊚ | |
| (((id↔ ⊗ ((dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ (swap₊ ⊗ id↔))) | |
| ⊚ | |
| (assocl⋆ ⊚ | |
| ((swap⋆ ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ swap⋆) ⊗ id↔) ⊚ | |
| assocr⋆) | |
| ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₁ (inj₁ (tt , 𝔽 , 𝔽)) ⟧⟫ | |
| ∷ | |
| ⟪ ⇒ ∣ | |
| id↔ ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| ((id↔ ⊕ | |
| (id↔ ⊗ | |
| ((id↔ ⊗ swap₊) ⊚ | |
| (swap⋆ ⊚ dist ⊚ (swap⋆ ⊕ swap⋆)) ⊚ | |
| ((swap₊ ⊗ id↔) ⊕ id↔) ⊚ (swap⋆ ⊕ swap⋆) ⊚ factor ⊚ swap⋆))) | |
| ⊕ id↔) | |
| ⊚ | |
| (factor ⊕ id↔) ⊚ | |
| ((assocl⋆ ⊚ | |
| (swap⋆ ⊗ id↔) ⊚ | |
| assocr⋆ ⊚ | |
| dist ⊚ | |
| ((id↔ ⊗ | |
| ((swap⋆ ⊚ dist ⊚ (swap⋆ ⊕ swap⋆)) ⊚ | |
| (id↔ ⊕ (swap₊ ⊗ id↔)) ⊚ (swap⋆ ⊕ swap⋆) ⊚ factor ⊚ swap⋆)) | |
| ⊕ (id↔ ⊗ (swap₊ ⊗ id↔))) | |
| ⊚ factor ⊚ assocl⋆ ⊚ (swap⋆ ⊗ id↔) ⊚ assocr⋆) | |
| ⊕ id↔) | |
| ⊚ | |
| (((id↔ ⊗ ((dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ (swap₊ ⊗ id↔))) | |
| ⊚ | |
| (assocl⋆ ⊚ | |
| ((swap⋆ ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ swap⋆) ⊗ id↔) ⊚ | |
| assocr⋆) | |
| ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₁ (inj₁ (tt , 𝔽 , 𝔽)) ⟧⟫ | |
| ∷ | |
| ⟪ ⇒ ∣ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| ((id↔ ⊕ | |
| (id↔ ⊗ | |
| ((id↔ ⊗ swap₊) ⊚ | |
| (swap⋆ ⊚ dist ⊚ (swap⋆ ⊕ swap⋆)) ⊚ | |
| ((swap₊ ⊗ id↔) ⊕ id↔) ⊚ (swap⋆ ⊕ swap⋆) ⊚ factor ⊚ swap⋆))) | |
| ⊕ id↔) | |
| ⊚ | |
| (factor ⊕ id↔) ⊚ | |
| ((assocl⋆ ⊚ | |
| (swap⋆ ⊗ id↔) ⊚ | |
| assocr⋆ ⊚ | |
| dist ⊚ | |
| ((id↔ ⊗ | |
| ((swap⋆ ⊚ dist ⊚ (swap⋆ ⊕ swap⋆)) ⊚ | |
| (id↔ ⊕ (swap₊ ⊗ id↔)) ⊚ (swap⋆ ⊕ swap⋆) ⊚ factor ⊚ swap⋆)) | |
| ⊕ (id↔ ⊗ (swap₊ ⊗ id↔))) | |
| ⊚ factor ⊚ assocl⋆ ⊚ (swap⋆ ⊗ id↔) ⊚ assocr⋆) | |
| ⊕ id↔) | |
| ⊚ | |
| (((id↔ ⊗ ((dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ (swap₊ ⊗ id↔))) | |
| ⊚ | |
| (assocl⋆ ⊚ | |
| ((swap⋆ ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ swap⋆) ⊗ id↔) ⊚ | |
| assocr⋆) | |
| ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₁ (inj₁ (tt , 𝔽 , 𝔽)) ⟧⟫ | |
| ∷ | |
| ⟪ ⇒ ∣ | |
| (id↔ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| ((id↔ ⊕ | |
| (id↔ ⊗ | |
| ((id↔ ⊗ swap₊) ⊚ | |
| (swap⋆ ⊚ dist ⊚ (swap⋆ ⊕ swap⋆)) ⊚ | |
| ((swap₊ ⊗ id↔) ⊕ id↔) ⊚ (swap⋆ ⊕ swap⋆) ⊚ factor ⊚ swap⋆))) | |
| ⊕ id↔) | |
| ⊚ | |
| (factor ⊕ id↔) ⊚ | |
| ((assocl⋆ ⊚ | |
| (swap⋆ ⊗ id↔) ⊚ | |
| assocr⋆ ⊚ | |
| dist ⊚ | |
| ((id↔ ⊗ | |
| ((swap⋆ ⊚ dist ⊚ (swap⋆ ⊕ swap⋆)) ⊚ | |
| (id↔ ⊕ (swap₊ ⊗ id↔)) ⊚ (swap⋆ ⊕ swap⋆) ⊚ factor ⊚ swap⋆)) | |
| ⊕ (id↔ ⊗ (swap₊ ⊗ id↔))) | |
| ⊚ factor ⊚ assocl⋆ ⊚ (swap⋆ ⊗ id↔) ⊚ assocr⋆) | |
| ⊕ id↔) | |
| ⊚ | |
| (((id↔ ⊗ ((dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ (swap₊ ⊗ id↔))) | |
| ⊚ | |
| (assocl⋆ ⊚ | |
| ((swap⋆ ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ swap⋆) ⊗ id↔) ⊚ | |
| assocr⋆) | |
| ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₁ (tt , 𝔽 , 𝔽) ⟧⟫ | |
| ∷ | |
| ⟪ ⇒ ∣ | |
| ((id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| ((id↔ ⊕ | |
| (id↔ ⊗ | |
| ((id↔ ⊗ swap₊) ⊚ | |
| (swap⋆ ⊚ dist ⊚ (swap⋆ ⊕ swap⋆)) ⊚ | |
| ((swap₊ ⊗ id↔) ⊕ id↔) ⊚ (swap⋆ ⊕ swap⋆) ⊚ factor ⊚ swap⋆))) | |
| ⊕ id↔) | |
| ⊚ | |
| (factor ⊕ id↔) ⊚ | |
| ((assocl⋆ ⊚ | |
| (swap⋆ ⊗ id↔) ⊚ | |
| assocr⋆ ⊚ | |
| dist ⊚ | |
| ((id↔ ⊗ | |
| ((swap⋆ ⊚ dist ⊚ (swap⋆ ⊕ swap⋆)) ⊚ | |
| (id↔ ⊕ (swap₊ ⊗ id↔)) ⊚ (swap⋆ ⊕ swap⋆) ⊚ factor ⊚ swap⋆)) | |
| ⊕ (id↔ ⊗ (swap₊ ⊗ id↔))) | |
| ⊚ factor ⊚ assocl⋆ ⊚ (swap⋆ ⊗ id↔) ⊚ assocr⋆) | |
| ⊕ id↔) | |
| ⊚ | |
| (((id↔ ⊗ ((dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ (swap₊ ⊗ id↔))) | |
| ⊚ | |
| (assocl⋆ ⊚ | |
| ((swap⋆ ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ swap⋆) ⊗ id↔) ⊚ | |
| assocr⋆) | |
| ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₁ (tt , 𝔽 , 𝔽) ⟧⟫ | |
| ∷ | |
| ⟪ ⇒ ∣ | |
| ((id↔ ⊕ (id↔ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| ((id↔ ⊕ | |
| (id↔ ⊗ | |
| ((id↔ ⊗ swap₊) ⊚ | |
| (swap⋆ ⊚ dist ⊚ (swap⋆ ⊕ swap⋆)) ⊚ | |
| ((swap₊ ⊗ id↔) ⊕ id↔) ⊚ (swap⋆ ⊕ swap⋆) ⊚ factor ⊚ swap⋆))) | |
| ⊕ id↔) | |
| ⊚ | |
| (factor ⊕ id↔) ⊚ | |
| ((assocl⋆ ⊚ | |
| (swap⋆ ⊗ id↔) ⊚ | |
| assocr⋆ ⊚ | |
| dist ⊚ | |
| ((id↔ ⊗ | |
| ((swap⋆ ⊚ dist ⊚ (swap⋆ ⊕ swap⋆)) ⊚ | |
| (id↔ ⊕ (swap₊ ⊗ id↔)) ⊚ (swap⋆ ⊕ swap⋆) ⊚ factor ⊚ swap⋆)) | |
| ⊕ (id↔ ⊗ (swap₊ ⊗ id↔))) | |
| ⊚ factor ⊚ assocl⋆ ⊚ (swap⋆ ⊗ id↔) ⊚ assocr⋆) | |
| ⊕ id↔) | |
| ⊚ | |
| (((id↔ ⊗ ((dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ (swap₊ ⊗ id↔))) | |
| ⊚ | |
| (assocl⋆ ⊚ | |
| ((swap⋆ ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ swap⋆) ⊗ id↔) ⊚ | |
| assocr⋆) | |
| ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₁ (tt , 𝔽 , 𝔽) ⟧⟫ | |
| ∷ | |
| ⟪ ⇒ ∣ | |
| ((id↔ ⊕ ((swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| ((id↔ ⊕ | |
| (id↔ ⊗ | |
| ((id↔ ⊗ swap₊) ⊚ | |
| (swap⋆ ⊚ dist ⊚ (swap⋆ ⊕ swap⋆)) ⊚ | |
| ((swap₊ ⊗ id↔) ⊕ id↔) ⊚ (swap⋆ ⊕ swap⋆) ⊚ factor ⊚ swap⋆))) | |
| ⊕ id↔) | |
| ⊚ | |
| (factor ⊕ id↔) ⊚ | |
| ((assocl⋆ ⊚ | |
| (swap⋆ ⊗ id↔) ⊚ | |
| assocr⋆ ⊚ | |
| dist ⊚ | |
| ((id↔ ⊗ | |
| ((swap⋆ ⊚ dist ⊚ (swap⋆ ⊕ swap⋆)) ⊚ | |
| (id↔ ⊕ (swap₊ ⊗ id↔)) ⊚ (swap⋆ ⊕ swap⋆) ⊚ factor ⊚ swap⋆)) | |
| ⊕ (id↔ ⊗ (swap₊ ⊗ id↔))) | |
| ⊚ factor ⊚ assocl⋆ ⊚ (swap⋆ ⊗ id↔) ⊚ assocr⋆) | |
| ⊕ id↔) | |
| ⊚ | |
| (((id↔ ⊗ ((dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ (swap₊ ⊗ id↔))) | |
| ⊚ | |
| (assocl⋆ ⊚ | |
| ((swap⋆ ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ swap⋆) ⊗ id↔) ⊚ | |
| assocr⋆) | |
| ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₁ (tt , 𝔽 , 𝔽) ⟧⟫ | |
| ∷ | |
| ⟪ ⇒ ∣ | |
| ((id↔ ⊕ ((id↔ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| ((id↔ ⊕ | |
| (id↔ ⊗ | |
| ((id↔ ⊗ swap₊) ⊚ | |
| (swap⋆ ⊚ dist ⊚ (swap⋆ ⊕ swap⋆)) ⊚ | |
| ((swap₊ ⊗ id↔) ⊕ id↔) ⊚ (swap⋆ ⊕ swap⋆) ⊚ factor ⊚ swap⋆))) | |
| ⊕ id↔) | |
| ⊚ | |
| (factor ⊕ id↔) ⊚ | |
| ((assocl⋆ ⊚ | |
| (swap⋆ ⊗ id↔) ⊚ | |
| assocr⋆ ⊚ | |
| dist ⊚ | |
| ((id↔ ⊗ | |
| ((swap⋆ ⊚ dist ⊚ (swap⋆ ⊕ swap⋆)) ⊚ | |
| (id↔ ⊕ (swap₊ ⊗ id↔)) ⊚ (swap⋆ ⊕ swap⋆) ⊚ factor ⊚ swap⋆)) | |
| ⊕ (id↔ ⊗ (swap₊ ⊗ id↔))) | |
| ⊚ factor ⊚ assocl⋆ ⊚ (swap⋆ ⊗ id↔) ⊚ assocr⋆) | |
| ⊕ id↔) | |
| ⊚ | |
| (((id↔ ⊗ ((dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ (swap₊ ⊗ id↔))) | |
| ⊚ | |
| (assocl⋆ ⊚ | |
| ((swap⋆ ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ swap⋆) ⊗ id↔) ⊚ | |
| assocr⋆) | |
| ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₁ (tt , 𝔽 , 𝔽) ⟧⟫ | |
| ∷ | |
| ⟪ ⇒ ∣ | |
| ((id↔ ⊕ (id↔ ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| ((id↔ ⊕ | |
| (id↔ ⊗ | |
| ((id↔ ⊗ swap₊) ⊚ | |
| (swap⋆ ⊚ dist ⊚ (swap⋆ ⊕ swap⋆)) ⊚ | |
| ((swap₊ ⊗ id↔) ⊕ id↔) ⊚ (swap⋆ ⊕ swap⋆) ⊚ factor ⊚ swap⋆))) | |
| ⊕ id↔) | |
| ⊚ | |
| (factor ⊕ id↔) ⊚ | |
| ((assocl⋆ ⊚ | |
| (swap⋆ ⊗ id↔) ⊚ | |
| assocr⋆ ⊚ | |
| dist ⊚ | |
| ((id↔ ⊗ | |
| ((swap⋆ ⊚ dist ⊚ (swap⋆ ⊕ swap⋆)) ⊚ | |
| (id↔ ⊕ (swap₊ ⊗ id↔)) ⊚ (swap⋆ ⊕ swap⋆) ⊚ factor ⊚ swap⋆)) | |
| ⊕ (id↔ ⊗ (swap₊ ⊗ id↔))) | |
| ⊚ factor ⊚ assocl⋆ ⊚ (swap⋆ ⊗ id↔) ⊚ assocr⋆) | |
| ⊕ id↔) | |
| ⊚ | |
| (((id↔ ⊗ ((dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ (swap₊ ⊗ id↔))) | |
| ⊚ | |
| (assocl⋆ ⊚ | |
| ((swap⋆ ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ swap⋆) ⊗ id↔) ⊚ | |
| assocr⋆) | |
| ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₁ (tt , 𝔽 , 𝔽) ⟧⟫ | |
| ∷ | |
| ⟪ ⇒ ∣ | |
| ((id↔ ⊕ assocr₊) ⊚ assocl₊) ⊚ | |
| ((id↔ ⊕ | |
| (id↔ ⊗ | |
| ((id↔ ⊗ swap₊) ⊚ | |
| (swap⋆ ⊚ dist ⊚ (swap⋆ ⊕ swap⋆)) ⊚ | |
| ((swap₊ ⊗ id↔) ⊕ id↔) ⊚ (swap⋆ ⊕ swap⋆) ⊚ factor ⊚ swap⋆))) | |
| ⊕ id↔) | |
| ⊚ | |
| (factor ⊕ id↔) ⊚ | |
| ((assocl⋆ ⊚ | |
| (swap⋆ ⊗ id↔) ⊚ | |
| assocr⋆ ⊚ | |
| dist ⊚ | |
| ((id↔ ⊗ | |
| ((swap⋆ ⊚ dist ⊚ (swap⋆ ⊕ swap⋆)) ⊚ | |
| (id↔ ⊕ (swap₊ ⊗ id↔)) ⊚ (swap⋆ ⊕ swap⋆) ⊚ factor ⊚ swap⋆)) | |
| ⊕ (id↔ ⊗ (swap₊ ⊗ id↔))) | |
| ⊚ factor ⊚ assocl⋆ ⊚ (swap⋆ ⊗ id↔) ⊚ assocr⋆) | |
| ⊕ id↔) | |
| ⊚ | |
| (((id↔ ⊗ ((dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ (swap₊ ⊗ id↔))) | |
| ⊚ | |
| (assocl⋆ ⊚ | |
| ((swap⋆ ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ swap⋆) ⊗ id↔) ⊚ | |
| assocr⋆) | |
| ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₁ (tt , 𝔽 , 𝔽) ⟧⟫ | |
| ∷ | |
| ⟪ ⇒ ∣ | |
| ((id↔ ⊕ id↔) ⊚ assocl₊) ⊚ | |
| ((id↔ ⊕ | |
| (id↔ ⊗ | |
| ((id↔ ⊗ swap₊) ⊚ | |
| (swap⋆ ⊚ dist ⊚ (swap⋆ ⊕ swap⋆)) ⊚ | |
| ((swap₊ ⊗ id↔) ⊕ id↔) ⊚ (swap⋆ ⊕ swap⋆) ⊚ factor ⊚ swap⋆))) | |
| ⊕ id↔) | |
| ⊚ | |
| (factor ⊕ id↔) ⊚ | |
| ((assocl⋆ ⊚ | |
| (swap⋆ ⊗ id↔) ⊚ | |
| assocr⋆ ⊚ | |
| dist ⊚ | |
| ((id↔ ⊗ | |
| ((swap⋆ ⊚ dist ⊚ (swap⋆ ⊕ swap⋆)) ⊚ | |
| (id↔ ⊕ (swap₊ ⊗ id↔)) ⊚ (swap⋆ ⊕ swap⋆) ⊚ factor ⊚ swap⋆)) | |
| ⊕ (id↔ ⊗ (swap₊ ⊗ id↔))) | |
| ⊚ factor ⊚ assocl⋆ ⊚ (swap⋆ ⊗ id↔) ⊚ assocr⋆) | |
| ⊕ id↔) | |
| ⊚ | |
| (((id↔ ⊗ ((dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ (swap₊ ⊗ id↔))) | |
| ⊚ | |
| (assocl⋆ ⊚ | |
| ((swap⋆ ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ swap⋆) ⊗ id↔) ⊚ | |
| assocr⋆) | |
| ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₁ (tt , 𝔽 , 𝔽) ⟧⟫ | |
| ∷ | |
| ⟪ ⇒ ∣ | |
| (id↔ ⊚ assocl₊) ⊚ | |
| ((id↔ ⊕ | |
| (id↔ ⊗ | |
| ((id↔ ⊗ swap₊) ⊚ | |
| (swap⋆ ⊚ dist ⊚ (swap⋆ ⊕ swap⋆)) ⊚ | |
| ((swap₊ ⊗ id↔) ⊕ id↔) ⊚ (swap⋆ ⊕ swap⋆) ⊚ factor ⊚ swap⋆))) | |
| ⊕ id↔) | |
| ⊚ | |
| (factor ⊕ id↔) ⊚ | |
| ((assocl⋆ ⊚ | |
| (swap⋆ ⊗ id↔) ⊚ | |
| assocr⋆ ⊚ | |
| dist ⊚ | |
| ((id↔ ⊗ | |
| ((swap⋆ ⊚ dist ⊚ (swap⋆ ⊕ swap⋆)) ⊚ | |
| (id↔ ⊕ (swap₊ ⊗ id↔)) ⊚ (swap⋆ ⊕ swap⋆) ⊚ factor ⊚ swap⋆)) | |
| ⊕ (id↔ ⊗ (swap₊ ⊗ id↔))) | |
| ⊚ factor ⊚ assocl⋆ ⊚ (swap⋆ ⊗ id↔) ⊚ assocr⋆) | |
| ⊕ id↔) | |
| ⊚ | |
| (((id↔ ⊗ ((dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ (swap₊ ⊗ id↔))) | |
| ⊚ | |
| (assocl⋆ ⊚ | |
| ((swap⋆ ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ swap⋆) ⊗ id↔) ⊚ | |
| assocr⋆) | |
| ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₁ (tt , 𝔽 , 𝔽) ⟧⟫ | |
| ∷ | |
| ⟪ ⇒ ∣ | |
| assocl₊ ⊚ | |
| ((id↔ ⊕ | |
| (id↔ ⊗ | |
| ((id↔ ⊗ swap₊) ⊚ | |
| (swap⋆ ⊚ dist ⊚ (swap⋆ ⊕ swap⋆)) ⊚ | |
| ((swap₊ ⊗ id↔) ⊕ id↔) ⊚ (swap⋆ ⊕ swap⋆) ⊚ factor ⊚ swap⋆))) | |
| ⊕ id↔) | |
| ⊚ | |
| (factor ⊕ id↔) ⊚ | |
| ((assocl⋆ ⊚ | |
| (swap⋆ ⊗ id↔) ⊚ | |
| assocr⋆ ⊚ | |
| dist ⊚ | |
| ((id↔ ⊗ | |
| ((swap⋆ ⊚ dist ⊚ (swap⋆ ⊕ swap⋆)) ⊚ | |
| (id↔ ⊕ (swap₊ ⊗ id↔)) ⊚ (swap⋆ ⊕ swap⋆) ⊚ factor ⊚ swap⋆)) | |
| ⊕ (id↔ ⊗ (swap₊ ⊗ id↔))) | |
| ⊚ factor ⊚ assocl⋆ ⊚ (swap⋆ ⊗ id↔) ⊚ assocr⋆) | |
| ⊕ id↔) | |
| ⊚ | |
| (((id↔ ⊗ ((dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ (swap₊ ⊗ id↔))) | |
| ⊚ | |
| (assocl⋆ ⊚ | |
| ((swap⋆ ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ swap⋆) ⊗ id↔) ⊚ | |
| assocr⋆) | |
| ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₁ (tt , 𝔽 , 𝔽) ⟧⟫ | |
| ∷ | |
| ⟪ ⇒ ∣ | |
| id↔ ⊚ | |
| ((id↔ ⊕ | |
| (id↔ ⊗ | |
| ((id↔ ⊗ swap₊) ⊚ | |
| (swap⋆ ⊚ dist ⊚ (swap⋆ ⊕ swap⋆)) ⊚ | |
| ((swap₊ ⊗ id↔) ⊕ id↔) ⊚ (swap⋆ ⊕ swap⋆) ⊚ factor ⊚ swap⋆))) | |
| ⊕ id↔) | |
| ⊚ | |
| (factor ⊕ id↔) ⊚ | |
| ((assocl⋆ ⊚ | |
| (swap⋆ ⊗ id↔) ⊚ | |
| assocr⋆ ⊚ | |
| dist ⊚ | |
| ((id↔ ⊗ | |
| ((swap⋆ ⊚ dist ⊚ (swap⋆ ⊕ swap⋆)) ⊚ | |
| (id↔ ⊕ (swap₊ ⊗ id↔)) ⊚ (swap⋆ ⊕ swap⋆) ⊚ factor ⊚ swap⋆)) | |
| ⊕ (id↔ ⊗ (swap₊ ⊗ id↔))) | |
| ⊚ factor ⊚ assocl⋆ ⊚ (swap⋆ ⊗ id↔) ⊚ assocr⋆) | |
| ⊕ id↔) | |
| ⊚ | |
| (((id↔ ⊗ ((dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ (swap₊ ⊗ id↔))) | |
| ⊚ | |
| (assocl⋆ ⊚ | |
| ((swap⋆ ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ swap⋆) ⊗ id↔) ⊚ | |
| assocr⋆) | |
| ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₁ (inj₁ (tt , 𝔽 , 𝔽)) ⟧⟫ | |
| ∷ | |
| ⟪ ⇒ ∣ | |
| ((id↔ ⊕ | |
| (id↔ ⊗ | |
| ((id↔ ⊗ swap₊) ⊚ | |
| (swap⋆ ⊚ dist ⊚ (swap⋆ ⊕ swap⋆)) ⊚ | |
| ((swap₊ ⊗ id↔) ⊕ id↔) ⊚ (swap⋆ ⊕ swap⋆) ⊚ factor ⊚ swap⋆))) | |
| ⊕ id↔) | |
| ⊚ | |
| (factor ⊕ id↔) ⊚ | |
| ((assocl⋆ ⊚ | |
| (swap⋆ ⊗ id↔) ⊚ | |
| assocr⋆ ⊚ | |
| dist ⊚ | |
| ((id↔ ⊗ | |
| ((swap⋆ ⊚ dist ⊚ (swap⋆ ⊕ swap⋆)) ⊚ | |
| (id↔ ⊕ (swap₊ ⊗ id↔)) ⊚ (swap⋆ ⊕ swap⋆) ⊚ factor ⊚ swap⋆)) | |
| ⊕ (id↔ ⊗ (swap₊ ⊗ id↔))) | |
| ⊚ factor ⊚ assocl⋆ ⊚ (swap⋆ ⊗ id↔) ⊚ assocr⋆) | |
| ⊕ id↔) | |
| ⊚ | |
| (((id↔ ⊗ ((dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ (swap₊ ⊗ id↔))) | |
| ⊚ | |
| (assocl⋆ ⊚ | |
| ((swap⋆ ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ swap⋆) ⊗ id↔) ⊚ | |
| assocr⋆) | |
| ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₁ (inj₁ (tt , 𝔽 , 𝔽)) ⟧⟫ | |
| ∷ | |
| ⟪ ⇒ ∣ | |
| ((id↔ ⊕ | |
| (id↔ ⊗ | |
| ((id↔ ⊗ id↔) ⊚ | |
| (swap⋆ ⊚ dist ⊚ (swap⋆ ⊕ swap⋆)) ⊚ | |
| ((swap₊ ⊗ id↔) ⊕ id↔) ⊚ (swap⋆ ⊕ swap⋆) ⊚ factor ⊚ swap⋆))) | |
| ⊕ id↔) | |
| ⊚ | |
| (factor ⊕ id↔) ⊚ | |
| ((assocl⋆ ⊚ | |
| (swap⋆ ⊗ id↔) ⊚ | |
| assocr⋆ ⊚ | |
| dist ⊚ | |
| ((id↔ ⊗ | |
| ((swap⋆ ⊚ dist ⊚ (swap⋆ ⊕ swap⋆)) ⊚ | |
| (id↔ ⊕ (swap₊ ⊗ id↔)) ⊚ (swap⋆ ⊕ swap⋆) ⊚ factor ⊚ swap⋆)) | |
| ⊕ (id↔ ⊗ (swap₊ ⊗ id↔))) | |
| ⊚ factor ⊚ assocl⋆ ⊚ (swap⋆ ⊗ id↔) ⊚ assocr⋆) | |
| ⊕ id↔) | |
| ⊚ | |
| (((id↔ ⊗ ((dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ (swap₊ ⊗ id↔))) | |
| ⊚ | |
| (assocl⋆ ⊚ | |
| ((swap⋆ ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ swap⋆) ⊗ id↔) ⊚ | |
| assocr⋆) | |
| ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₁ (inj₁ (tt , 𝔽 , 𝔽)) ⟧⟫ | |
| ∷ | |
| ⟪ ⇒ ∣ | |
| ((id↔ ⊕ | |
| (id↔ ⊗ | |
| (id↔ ⊚ | |
| (swap⋆ ⊚ dist ⊚ (swap⋆ ⊕ swap⋆)) ⊚ | |
| ((swap₊ ⊗ id↔) ⊕ id↔) ⊚ (swap⋆ ⊕ swap⋆) ⊚ factor ⊚ swap⋆))) | |
| ⊕ id↔) | |
| ⊚ | |
| (factor ⊕ id↔) ⊚ | |
| ((assocl⋆ ⊚ | |
| (swap⋆ ⊗ id↔) ⊚ | |
| assocr⋆ ⊚ | |
| dist ⊚ | |
| ((id↔ ⊗ | |
| ((swap⋆ ⊚ dist ⊚ (swap⋆ ⊕ swap⋆)) ⊚ | |
| (id↔ ⊕ (swap₊ ⊗ id↔)) ⊚ (swap⋆ ⊕ swap⋆) ⊚ factor ⊚ swap⋆)) | |
| ⊕ (id↔ ⊗ (swap₊ ⊗ id↔))) | |
| ⊚ factor ⊚ assocl⋆ ⊚ (swap⋆ ⊗ id↔) ⊚ assocr⋆) | |
| ⊕ id↔) | |
| ⊚ | |
| (((id↔ ⊗ ((dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ (swap₊ ⊗ id↔))) | |
| ⊚ | |
| (assocl⋆ ⊚ | |
| ((swap⋆ ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ swap⋆) ⊗ id↔) ⊚ | |
| assocr⋆) | |
| ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₁ (inj₁ (tt , 𝔽 , 𝔽)) ⟧⟫ | |
| ∷ | |
| ⟪ ⇒ ∣ | |
| ((id↔ ⊕ | |
| (id↔ ⊗ | |
| ((swap⋆ ⊚ dist ⊚ (swap⋆ ⊕ swap⋆)) ⊚ | |
| ((swap₊ ⊗ id↔) ⊕ id↔) ⊚ (swap⋆ ⊕ swap⋆) ⊚ factor ⊚ swap⋆))) | |
| ⊕ id↔) | |
| ⊚ | |
| (factor ⊕ id↔) ⊚ | |
| ((assocl⋆ ⊚ | |
| (swap⋆ ⊗ id↔) ⊚ | |
| assocr⋆ ⊚ | |
| dist ⊚ | |
| ((id↔ ⊗ | |
| ((swap⋆ ⊚ dist ⊚ (swap⋆ ⊕ swap⋆)) ⊚ | |
| (id↔ ⊕ (swap₊ ⊗ id↔)) ⊚ (swap⋆ ⊕ swap⋆) ⊚ factor ⊚ swap⋆)) | |
| ⊕ (id↔ ⊗ (swap₊ ⊗ id↔))) | |
| ⊚ factor ⊚ assocl⋆ ⊚ (swap⋆ ⊗ id↔) ⊚ assocr⋆) | |
| ⊕ id↔) | |
| ⊚ | |
| (((id↔ ⊗ ((dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ (swap₊ ⊗ id↔))) | |
| ⊚ | |
| (assocl⋆ ⊚ | |
| ((swap⋆ ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ swap⋆) ⊗ id↔) ⊚ | |
| assocr⋆) | |
| ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₁ (inj₁ (tt , 𝔽 , 𝔽)) ⟧⟫ | |
| ∷ | |
| ⟪ ⇒ ∣ | |
| ((id↔ ⊕ | |
| (id↔ ⊗ | |
| ((id↔ ⊚ dist ⊚ (swap⋆ ⊕ swap⋆)) ⊚ | |
| ((swap₊ ⊗ id↔) ⊕ id↔) ⊚ (swap⋆ ⊕ swap⋆) ⊚ factor ⊚ swap⋆))) | |
| ⊕ id↔) | |
| ⊚ | |
| (factor ⊕ id↔) ⊚ | |
| ((assocl⋆ ⊚ | |
| (swap⋆ ⊗ id↔) ⊚ | |
| assocr⋆ ⊚ | |
| dist ⊚ | |
| ((id↔ ⊗ | |
| ((swap⋆ ⊚ dist ⊚ (swap⋆ ⊕ swap⋆)) ⊚ | |
| (id↔ ⊕ (swap₊ ⊗ id↔)) ⊚ (swap⋆ ⊕ swap⋆) ⊚ factor ⊚ swap⋆)) | |
| ⊕ (id↔ ⊗ (swap₊ ⊗ id↔))) | |
| ⊚ factor ⊚ assocl⋆ ⊚ (swap⋆ ⊗ id↔) ⊚ assocr⋆) | |
| ⊕ id↔) | |
| ⊚ | |
| (((id↔ ⊗ ((dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ (swap₊ ⊗ id↔))) | |
| ⊚ | |
| (assocl⋆ ⊚ | |
| ((swap⋆ ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ swap⋆) ⊗ id↔) ⊚ | |
| assocr⋆) | |
| ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₁ (inj₁ (tt , 𝔽 , 𝔽)) ⟧⟫ | |
| ∷ | |
| ⟪ ⇒ ∣ | |
| ((id↔ ⊕ | |
| (id↔ ⊗ | |
| ((dist ⊚ (swap⋆ ⊕ swap⋆)) ⊚ | |
| ((swap₊ ⊗ id↔) ⊕ id↔) ⊚ (swap⋆ ⊕ swap⋆) ⊚ factor ⊚ swap⋆))) | |
| ⊕ id↔) | |
| ⊚ | |
| (factor ⊕ id↔) ⊚ | |
| ((assocl⋆ ⊚ | |
| (swap⋆ ⊗ id↔) ⊚ | |
| assocr⋆ ⊚ | |
| dist ⊚ | |
| ((id↔ ⊗ | |
| ((swap⋆ ⊚ dist ⊚ (swap⋆ ⊕ swap⋆)) ⊚ | |
| (id↔ ⊕ (swap₊ ⊗ id↔)) ⊚ (swap⋆ ⊕ swap⋆) ⊚ factor ⊚ swap⋆)) | |
| ⊕ (id↔ ⊗ (swap₊ ⊗ id↔))) | |
| ⊚ factor ⊚ assocl⋆ ⊚ (swap⋆ ⊗ id↔) ⊚ assocr⋆) | |
| ⊕ id↔) | |
| ⊚ | |
| (((id↔ ⊗ ((dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ (swap₊ ⊗ id↔))) | |
| ⊚ | |
| (assocl⋆ ⊚ | |
| ((swap⋆ ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ swap⋆) ⊗ id↔) ⊚ | |
| assocr⋆) | |
| ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₁ (inj₁ (tt , 𝔽 , 𝔽)) ⟧⟫ | |
| ∷ | |
| ⟪ ⇒ ∣ | |
| ((id↔ ⊕ | |
| (id↔ ⊗ | |
| ((id↔ ⊚ (swap⋆ ⊕ swap⋆)) ⊚ | |
| ((swap₊ ⊗ id↔) ⊕ id↔) ⊚ (swap⋆ ⊕ swap⋆) ⊚ factor ⊚ swap⋆))) | |
| ⊕ id↔) | |
| ⊚ | |
| (factor ⊕ id↔) ⊚ | |
| ((assocl⋆ ⊚ | |
| (swap⋆ ⊗ id↔) ⊚ | |
| assocr⋆ ⊚ | |
| dist ⊚ | |
| ((id↔ ⊗ | |
| ((swap⋆ ⊚ dist ⊚ (swap⋆ ⊕ swap⋆)) ⊚ | |
| (id↔ ⊕ (swap₊ ⊗ id↔)) ⊚ (swap⋆ ⊕ swap⋆) ⊚ factor ⊚ swap⋆)) | |
| ⊕ (id↔ ⊗ (swap₊ ⊗ id↔))) | |
| ⊚ factor ⊚ assocl⋆ ⊚ (swap⋆ ⊗ id↔) ⊚ assocr⋆) | |
| ⊕ id↔) | |
| ⊚ | |
| (((id↔ ⊗ ((dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ (swap₊ ⊗ id↔))) | |
| ⊚ | |
| (assocl⋆ ⊚ | |
| ((swap⋆ ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ swap⋆) ⊗ id↔) ⊚ | |
| assocr⋆) | |
| ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₁ (inj₁ (tt , 𝔽 , 𝔽)) ⟧⟫ | |
| ∷ | |
| ⟪ ⇒ ∣ | |
| ((id↔ ⊕ | |
| (id↔ ⊗ | |
| ((swap⋆ ⊕ swap⋆) ⊚ | |
| ((swap₊ ⊗ id↔) ⊕ id↔) ⊚ (swap⋆ ⊕ swap⋆) ⊚ factor ⊚ swap⋆))) | |
| ⊕ id↔) | |
| ⊚ | |
| (factor ⊕ id↔) ⊚ | |
| ((assocl⋆ ⊚ | |
| (swap⋆ ⊗ id↔) ⊚ | |
| assocr⋆ ⊚ | |
| dist ⊚ | |
| ((id↔ ⊗ | |
| ((swap⋆ ⊚ dist ⊚ (swap⋆ ⊕ swap⋆)) ⊚ | |
| (id↔ ⊕ (swap₊ ⊗ id↔)) ⊚ (swap⋆ ⊕ swap⋆) ⊚ factor ⊚ swap⋆)) | |
| ⊕ (id↔ ⊗ (swap₊ ⊗ id↔))) | |
| ⊚ factor ⊚ assocl⋆ ⊚ (swap⋆ ⊗ id↔) ⊚ assocr⋆) | |
| ⊕ id↔) | |
| ⊚ | |
| (((id↔ ⊗ ((dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ (swap₊ ⊗ id↔))) | |
| ⊚ | |
| (assocl⋆ ⊚ | |
| ((swap⋆ ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ swap⋆) ⊗ id↔) ⊚ | |
| assocr⋆) | |
| ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₁ (inj₁ (tt , 𝔽 , 𝔽)) ⟧⟫ | |
| ∷ | |
| ⟪ ⇒ ∣ | |
| ((id↔ ⊕ | |
| (id↔ ⊗ | |
| ((id↔ ⊕ swap⋆) ⊚ | |
| ((swap₊ ⊗ id↔) ⊕ id↔) ⊚ (swap⋆ ⊕ swap⋆) ⊚ factor ⊚ swap⋆))) | |
| ⊕ id↔) | |
| ⊚ | |
| (factor ⊕ id↔) ⊚ | |
| ((assocl⋆ ⊚ | |
| (swap⋆ ⊗ id↔) ⊚ | |
| assocr⋆ ⊚ | |
| dist ⊚ | |
| ((id↔ ⊗ | |
| ((swap⋆ ⊚ dist ⊚ (swap⋆ ⊕ swap⋆)) ⊚ | |
| (id↔ ⊕ (swap₊ ⊗ id↔)) ⊚ (swap⋆ ⊕ swap⋆) ⊚ factor ⊚ swap⋆)) | |
| ⊕ (id↔ ⊗ (swap₊ ⊗ id↔))) | |
| ⊚ factor ⊚ assocl⋆ ⊚ (swap⋆ ⊗ id↔) ⊚ assocr⋆) | |
| ⊕ id↔) | |
| ⊚ | |
| (((id↔ ⊗ ((dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ (swap₊ ⊗ id↔))) | |
| ⊚ | |
| (assocl⋆ ⊚ | |
| ((swap⋆ ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ swap⋆) ⊗ id↔) ⊚ | |
| assocr⋆) | |
| ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₁ (inj₁ (tt , 𝔽 , 𝔽)) ⟧⟫ | |
| ∷ | |
| ⟪ ⇒ ∣ | |
| ((id↔ ⊕ | |
| (id↔ ⊗ | |
| ((id↔ ⊕ id↔) ⊚ | |
| ((swap₊ ⊗ id↔) ⊕ id↔) ⊚ (swap⋆ ⊕ swap⋆) ⊚ factor ⊚ swap⋆))) | |
| ⊕ id↔) | |
| ⊚ | |
| (factor ⊕ id↔) ⊚ | |
| ((assocl⋆ ⊚ | |
| (swap⋆ ⊗ id↔) ⊚ | |
| assocr⋆ ⊚ | |
| dist ⊚ | |
| ((id↔ ⊗ | |
| ((swap⋆ ⊚ dist ⊚ (swap⋆ ⊕ swap⋆)) ⊚ | |
| (id↔ ⊕ (swap₊ ⊗ id↔)) ⊚ (swap⋆ ⊕ swap⋆) ⊚ factor ⊚ swap⋆)) | |
| ⊕ (id↔ ⊗ (swap₊ ⊗ id↔))) | |
| ⊚ factor ⊚ assocl⋆ ⊚ (swap⋆ ⊗ id↔) ⊚ assocr⋆) | |
| ⊕ id↔) | |
| ⊚ | |
| (((id↔ ⊗ ((dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ (swap₊ ⊗ id↔))) | |
| ⊚ | |
| (assocl⋆ ⊚ | |
| ((swap⋆ ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ swap⋆) ⊗ id↔) ⊚ | |
| assocr⋆) | |
| ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₁ (inj₁ (tt , 𝔽 , 𝔽)) ⟧⟫ | |
| ∷ | |
| ⟪ ⇒ ∣ | |
| ((id↔ ⊕ | |
| (id↔ ⊗ | |
| (id↔ ⊚ ((swap₊ ⊗ id↔) ⊕ id↔) ⊚ (swap⋆ ⊕ swap⋆) ⊚ factor ⊚ swap⋆))) | |
| ⊕ id↔) | |
| ⊚ | |
| (factor ⊕ id↔) ⊚ | |
| ((assocl⋆ ⊚ | |
| (swap⋆ ⊗ id↔) ⊚ | |
| assocr⋆ ⊚ | |
| dist ⊚ | |
| ((id↔ ⊗ | |
| ((swap⋆ ⊚ dist ⊚ (swap⋆ ⊕ swap⋆)) ⊚ | |
| (id↔ ⊕ (swap₊ ⊗ id↔)) ⊚ (swap⋆ ⊕ swap⋆) ⊚ factor ⊚ swap⋆)) | |
| ⊕ (id↔ ⊗ (swap₊ ⊗ id↔))) | |
| ⊚ factor ⊚ assocl⋆ ⊚ (swap⋆ ⊗ id↔) ⊚ assocr⋆) | |
| ⊕ id↔) | |
| ⊚ | |
| (((id↔ ⊗ ((dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ (swap₊ ⊗ id↔))) | |
| ⊚ | |
| (assocl⋆ ⊚ | |
| ((swap⋆ ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ swap⋆) ⊗ id↔) ⊚ | |
| assocr⋆) | |
| ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₁ (inj₁ (tt , 𝔽 , 𝔽)) ⟧⟫ | |
| ∷ | |
| ⟪ ⇒ ∣ | |
| ((id↔ ⊕ | |
| (id↔ ⊗ (((swap₊ ⊗ id↔) ⊕ id↔) ⊚ (swap⋆ ⊕ swap⋆) ⊚ factor ⊚ swap⋆))) | |
| ⊕ id↔) | |
| ⊚ | |
| (factor ⊕ id↔) ⊚ | |
| ((assocl⋆ ⊚ | |
| (swap⋆ ⊗ id↔) ⊚ | |
| assocr⋆ ⊚ | |
| dist ⊚ | |
| ((id↔ ⊗ | |
| ((swap⋆ ⊚ dist ⊚ (swap⋆ ⊕ swap⋆)) ⊚ | |
| (id↔ ⊕ (swap₊ ⊗ id↔)) ⊚ (swap⋆ ⊕ swap⋆) ⊚ factor ⊚ swap⋆)) | |
| ⊕ (id↔ ⊗ (swap₊ ⊗ id↔))) | |
| ⊚ factor ⊚ assocl⋆ ⊚ (swap⋆ ⊗ id↔) ⊚ assocr⋆) | |
| ⊕ id↔) | |
| ⊚ | |
| (((id↔ ⊗ ((dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ (swap₊ ⊗ id↔))) | |
| ⊚ | |
| (assocl⋆ ⊚ | |
| ((swap⋆ ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ swap⋆) ⊗ id↔) ⊚ | |
| assocr⋆) | |
| ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₁ (inj₁ (tt , 𝔽 , 𝔽)) ⟧⟫ | |
| ∷ | |
| ⟪ ⇒ ∣ | |
| ((id↔ ⊕ | |
| (id↔ ⊗ (((id↔ ⊗ id↔) ⊕ id↔) ⊚ (swap⋆ ⊕ swap⋆) ⊚ factor ⊚ swap⋆))) | |
| ⊕ id↔) | |
| ⊚ | |
| (factor ⊕ id↔) ⊚ | |
| ((assocl⋆ ⊚ | |
| (swap⋆ ⊗ id↔) ⊚ | |
| assocr⋆ ⊚ | |
| dist ⊚ | |
| ((id↔ ⊗ | |
| ((swap⋆ ⊚ dist ⊚ (swap⋆ ⊕ swap⋆)) ⊚ | |
| (id↔ ⊕ (swap₊ ⊗ id↔)) ⊚ (swap⋆ ⊕ swap⋆) ⊚ factor ⊚ swap⋆)) | |
| ⊕ (id↔ ⊗ (swap₊ ⊗ id↔))) | |
| ⊚ factor ⊚ assocl⋆ ⊚ (swap⋆ ⊗ id↔) ⊚ assocr⋆) | |
| ⊕ id↔) | |
| ⊚ | |
| (((id↔ ⊗ ((dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ (swap₊ ⊗ id↔))) | |
| ⊚ | |
| (assocl⋆ ⊚ | |
| ((swap⋆ ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ swap⋆) ⊗ id↔) ⊚ | |
| assocr⋆) | |
| ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₁ (inj₁ (tt , 𝔽 , 𝔽)) ⟧⟫ | |
| ∷ | |
| ⟪ ⇒ ∣ | |
| ((id↔ ⊕ (id↔ ⊗ ((id↔ ⊕ id↔) ⊚ (swap⋆ ⊕ swap⋆) ⊚ factor ⊚ swap⋆))) ⊕ | |
| id↔) | |
| ⊚ | |
| (factor ⊕ id↔) ⊚ | |
| ((assocl⋆ ⊚ | |
| (swap⋆ ⊗ id↔) ⊚ | |
| assocr⋆ ⊚ | |
| dist ⊚ | |
| ((id↔ ⊗ | |
| ((swap⋆ ⊚ dist ⊚ (swap⋆ ⊕ swap⋆)) ⊚ | |
| (id↔ ⊕ (swap₊ ⊗ id↔)) ⊚ (swap⋆ ⊕ swap⋆) ⊚ factor ⊚ swap⋆)) | |
| ⊕ (id↔ ⊗ (swap₊ ⊗ id↔))) | |
| ⊚ factor ⊚ assocl⋆ ⊚ (swap⋆ ⊗ id↔) ⊚ assocr⋆) | |
| ⊕ id↔) | |
| ⊚ | |
| (((id↔ ⊗ ((dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ (swap₊ ⊗ id↔))) | |
| ⊚ | |
| (assocl⋆ ⊚ | |
| ((swap⋆ ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ swap⋆) ⊗ id↔) ⊚ | |
| assocr⋆) | |
| ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₁ (inj₁ (tt , 𝔽 , 𝔽)) ⟧⟫ | |
| ∷ | |
| ⟪ ⇒ ∣ | |
| ((id↔ ⊕ (id↔ ⊗ (id↔ ⊚ (swap⋆ ⊕ swap⋆) ⊚ factor ⊚ swap⋆))) ⊕ id↔) ⊚ | |
| (factor ⊕ id↔) ⊚ | |
| ((assocl⋆ ⊚ | |
| (swap⋆ ⊗ id↔) ⊚ | |
| assocr⋆ ⊚ | |
| dist ⊚ | |
| ((id↔ ⊗ | |
| ((swap⋆ ⊚ dist ⊚ (swap⋆ ⊕ swap⋆)) ⊚ | |
| (id↔ ⊕ (swap₊ ⊗ id↔)) ⊚ (swap⋆ ⊕ swap⋆) ⊚ factor ⊚ swap⋆)) | |
| ⊕ (id↔ ⊗ (swap₊ ⊗ id↔))) | |
| ⊚ factor ⊚ assocl⋆ ⊚ (swap⋆ ⊗ id↔) ⊚ assocr⋆) | |
| ⊕ id↔) | |
| ⊚ | |
| (((id↔ ⊗ ((dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ (swap₊ ⊗ id↔))) | |
| ⊚ | |
| (assocl⋆ ⊚ | |
| ((swap⋆ ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ swap⋆) ⊗ id↔) ⊚ | |
| assocr⋆) | |
| ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₁ (inj₁ (tt , 𝔽 , 𝔽)) ⟧⟫ | |
| ∷ | |
| ⟪ ⇒ ∣ | |
| ((id↔ ⊕ (id↔ ⊗ ((swap⋆ ⊕ swap⋆) ⊚ factor ⊚ swap⋆))) ⊕ id↔) ⊚ | |
| (factor ⊕ id↔) ⊚ | |
| ((assocl⋆ ⊚ | |
| (swap⋆ ⊗ id↔) ⊚ | |
| assocr⋆ ⊚ | |
| dist ⊚ | |
| ((id↔ ⊗ | |
| ((swap⋆ ⊚ dist ⊚ (swap⋆ ⊕ swap⋆)) ⊚ | |
| (id↔ ⊕ (swap₊ ⊗ id↔)) ⊚ (swap⋆ ⊕ swap⋆) ⊚ factor ⊚ swap⋆)) | |
| ⊕ (id↔ ⊗ (swap₊ ⊗ id↔))) | |
| ⊚ factor ⊚ assocl⋆ ⊚ (swap⋆ ⊗ id↔) ⊚ assocr⋆) | |
| ⊕ id↔) | |
| ⊚ | |
| (((id↔ ⊗ ((dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ (swap₊ ⊗ id↔))) | |
| ⊚ | |
| (assocl⋆ ⊚ | |
| ((swap⋆ ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ swap⋆) ⊗ id↔) ⊚ | |
| assocr⋆) | |
| ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₁ (inj₁ (tt , 𝔽 , 𝔽)) ⟧⟫ | |
| ∷ | |
| ⟪ ⇒ ∣ | |
| ((id↔ ⊕ (id↔ ⊗ ((id↔ ⊕ swap⋆) ⊚ factor ⊚ swap⋆))) ⊕ id↔) ⊚ | |
| (factor ⊕ id↔) ⊚ | |
| ((assocl⋆ ⊚ | |
| (swap⋆ ⊗ id↔) ⊚ | |
| assocr⋆ ⊚ | |
| dist ⊚ | |
| ((id↔ ⊗ | |
| ((swap⋆ ⊚ dist ⊚ (swap⋆ ⊕ swap⋆)) ⊚ | |
| (id↔ ⊕ (swap₊ ⊗ id↔)) ⊚ (swap⋆ ⊕ swap⋆) ⊚ factor ⊚ swap⋆)) | |
| ⊕ (id↔ ⊗ (swap₊ ⊗ id↔))) | |
| ⊚ factor ⊚ assocl⋆ ⊚ (swap⋆ ⊗ id↔) ⊚ assocr⋆) | |
| ⊕ id↔) | |
| ⊚ | |
| (((id↔ ⊗ ((dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ (swap₊ ⊗ id↔))) | |
| ⊚ | |
| (assocl⋆ ⊚ | |
| ((swap⋆ ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ swap⋆) ⊗ id↔) ⊚ | |
| assocr⋆) | |
| ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₁ (inj₁ (tt , 𝔽 , 𝔽)) ⟧⟫ | |
| ∷ | |
| ⟪ ⇒ ∣ | |
| ((id↔ ⊕ (id↔ ⊗ ((id↔ ⊕ id↔) ⊚ factor ⊚ swap⋆))) ⊕ id↔) ⊚ | |
| (factor ⊕ id↔) ⊚ | |
| ((assocl⋆ ⊚ | |
| (swap⋆ ⊗ id↔) ⊚ | |
| assocr⋆ ⊚ | |
| dist ⊚ | |
| ((id↔ ⊗ | |
| ((swap⋆ ⊚ dist ⊚ (swap⋆ ⊕ swap⋆)) ⊚ | |
| (id↔ ⊕ (swap₊ ⊗ id↔)) ⊚ (swap⋆ ⊕ swap⋆) ⊚ factor ⊚ swap⋆)) | |
| ⊕ (id↔ ⊗ (swap₊ ⊗ id↔))) | |
| ⊚ factor ⊚ assocl⋆ ⊚ (swap⋆ ⊗ id↔) ⊚ assocr⋆) | |
| ⊕ id↔) | |
| ⊚ | |
| (((id↔ ⊗ ((dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ (swap₊ ⊗ id↔))) | |
| ⊚ | |
| (assocl⋆ ⊚ | |
| ((swap⋆ ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ swap⋆) ⊗ id↔) ⊚ | |
| assocr⋆) | |
| ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₁ (inj₁ (tt , 𝔽 , 𝔽)) ⟧⟫ | |
| ∷ | |
| ⟪ ⇒ ∣ | |
| ((id↔ ⊕ (id↔ ⊗ (id↔ ⊚ factor ⊚ swap⋆))) ⊕ id↔) ⊚ | |
| (factor ⊕ id↔) ⊚ | |
| ((assocl⋆ ⊚ | |
| (swap⋆ ⊗ id↔) ⊚ | |
| assocr⋆ ⊚ | |
| dist ⊚ | |
| ((id↔ ⊗ | |
| ((swap⋆ ⊚ dist ⊚ (swap⋆ ⊕ swap⋆)) ⊚ | |
| (id↔ ⊕ (swap₊ ⊗ id↔)) ⊚ (swap⋆ ⊕ swap⋆) ⊚ factor ⊚ swap⋆)) | |
| ⊕ (id↔ ⊗ (swap₊ ⊗ id↔))) | |
| ⊚ factor ⊚ assocl⋆ ⊚ (swap⋆ ⊗ id↔) ⊚ assocr⋆) | |
| ⊕ id↔) | |
| ⊚ | |
| (((id↔ ⊗ ((dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ (swap₊ ⊗ id↔))) | |
| ⊚ | |
| (assocl⋆ ⊚ | |
| ((swap⋆ ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ swap⋆) ⊗ id↔) ⊚ | |
| assocr⋆) | |
| ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₁ (inj₁ (tt , 𝔽 , 𝔽)) ⟧⟫ | |
| ∷ | |
| ⟪ ⇒ ∣ | |
| ((id↔ ⊕ (id↔ ⊗ (factor ⊚ swap⋆))) ⊕ id↔) ⊚ | |
| (factor ⊕ id↔) ⊚ | |
| ((assocl⋆ ⊚ | |
| (swap⋆ ⊗ id↔) ⊚ | |
| assocr⋆ ⊚ | |
| dist ⊚ | |
| ((id↔ ⊗ | |
| ((swap⋆ ⊚ dist ⊚ (swap⋆ ⊕ swap⋆)) ⊚ | |
| (id↔ ⊕ (swap₊ ⊗ id↔)) ⊚ (swap⋆ ⊕ swap⋆) ⊚ factor ⊚ swap⋆)) | |
| ⊕ (id↔ ⊗ (swap₊ ⊗ id↔))) | |
| ⊚ factor ⊚ assocl⋆ ⊚ (swap⋆ ⊗ id↔) ⊚ assocr⋆) | |
| ⊕ id↔) | |
| ⊚ | |
| (((id↔ ⊗ ((dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ (swap₊ ⊗ id↔))) | |
| ⊚ | |
| (assocl⋆ ⊚ | |
| ((swap⋆ ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ swap⋆) ⊗ id↔) ⊚ | |
| assocr⋆) | |
| ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₁ (inj₁ (tt , 𝔽 , 𝔽)) ⟧⟫ | |
| ∷ | |
| ⟪ ⇒ ∣ | |
| ((id↔ ⊕ (id↔ ⊗ (id↔ ⊚ swap⋆))) ⊕ id↔) ⊚ | |
| (factor ⊕ id↔) ⊚ | |
| ((assocl⋆ ⊚ | |
| (swap⋆ ⊗ id↔) ⊚ | |
| assocr⋆ ⊚ | |
| dist ⊚ | |
| ((id↔ ⊗ | |
| ((swap⋆ ⊚ dist ⊚ (swap⋆ ⊕ swap⋆)) ⊚ | |
| (id↔ ⊕ (swap₊ ⊗ id↔)) ⊚ (swap⋆ ⊕ swap⋆) ⊚ factor ⊚ swap⋆)) | |
| ⊕ (id↔ ⊗ (swap₊ ⊗ id↔))) | |
| ⊚ factor ⊚ assocl⋆ ⊚ (swap⋆ ⊗ id↔) ⊚ assocr⋆) | |
| ⊕ id↔) | |
| ⊚ | |
| (((id↔ ⊗ ((dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ (swap₊ ⊗ id↔))) | |
| ⊚ | |
| (assocl⋆ ⊚ | |
| ((swap⋆ ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ swap⋆) ⊗ id↔) ⊚ | |
| assocr⋆) | |
| ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₁ (inj₁ (tt , 𝔽 , 𝔽)) ⟧⟫ | |
| ∷ | |
| ⟪ ⇒ ∣ | |
| ((id↔ ⊕ (id↔ ⊗ swap⋆)) ⊕ id↔) ⊚ | |
| (factor ⊕ id↔) ⊚ | |
| ((assocl⋆ ⊚ | |
| (swap⋆ ⊗ id↔) ⊚ | |
| assocr⋆ ⊚ | |
| dist ⊚ | |
| ((id↔ ⊗ | |
| ((swap⋆ ⊚ dist ⊚ (swap⋆ ⊕ swap⋆)) ⊚ | |
| (id↔ ⊕ (swap₊ ⊗ id↔)) ⊚ (swap⋆ ⊕ swap⋆) ⊚ factor ⊚ swap⋆)) | |
| ⊕ (id↔ ⊗ (swap₊ ⊗ id↔))) | |
| ⊚ factor ⊚ assocl⋆ ⊚ (swap⋆ ⊗ id↔) ⊚ assocr⋆) | |
| ⊕ id↔) | |
| ⊚ | |
| (((id↔ ⊗ ((dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ (swap₊ ⊗ id↔))) | |
| ⊚ | |
| (assocl⋆ ⊚ | |
| ((swap⋆ ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ swap⋆) ⊗ id↔) ⊚ | |
| assocr⋆) | |
| ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₁ (inj₁ (tt , 𝔽 , 𝔽)) ⟧⟫ | |
| ∷ | |
| ⟪ ⇒ ∣ | |
| ((id↔ ⊕ (id↔ ⊗ id↔)) ⊕ id↔) ⊚ | |
| (factor ⊕ id↔) ⊚ | |
| ((assocl⋆ ⊚ | |
| (swap⋆ ⊗ id↔) ⊚ | |
| assocr⋆ ⊚ | |
| dist ⊚ | |
| ((id↔ ⊗ | |
| ((swap⋆ ⊚ dist ⊚ (swap⋆ ⊕ swap⋆)) ⊚ | |
| (id↔ ⊕ (swap₊ ⊗ id↔)) ⊚ (swap⋆ ⊕ swap⋆) ⊚ factor ⊚ swap⋆)) | |
| ⊕ (id↔ ⊗ (swap₊ ⊗ id↔))) | |
| ⊚ factor ⊚ assocl⋆ ⊚ (swap⋆ ⊗ id↔) ⊚ assocr⋆) | |
| ⊕ id↔) | |
| ⊚ | |
| (((id↔ ⊗ ((dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ (swap₊ ⊗ id↔))) | |
| ⊚ | |
| (assocl⋆ ⊚ | |
| ((swap⋆ ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ swap⋆) ⊗ id↔) ⊚ | |
| assocr⋆) | |
| ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₁ (inj₁ (tt , 𝔽 , 𝔽)) ⟧⟫ | |
| ∷ | |
| ⟪ ⇒ ∣ | |
| ((id↔ ⊕ id↔) ⊕ id↔) ⊚ | |
| (factor ⊕ id↔) ⊚ | |
| ((assocl⋆ ⊚ | |
| (swap⋆ ⊗ id↔) ⊚ | |
| assocr⋆ ⊚ | |
| dist ⊚ | |
| ((id↔ ⊗ | |
| ((swap⋆ ⊚ dist ⊚ (swap⋆ ⊕ swap⋆)) ⊚ | |
| (id↔ ⊕ (swap₊ ⊗ id↔)) ⊚ (swap⋆ ⊕ swap⋆) ⊚ factor ⊚ swap⋆)) | |
| ⊕ (id↔ ⊗ (swap₊ ⊗ id↔))) | |
| ⊚ factor ⊚ assocl⋆ ⊚ (swap⋆ ⊗ id↔) ⊚ assocr⋆) | |
| ⊕ id↔) | |
| ⊚ | |
| (((id↔ ⊗ ((dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ (swap₊ ⊗ id↔))) | |
| ⊚ | |
| (assocl⋆ ⊚ | |
| ((swap⋆ ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ swap⋆) ⊗ id↔) ⊚ | |
| assocr⋆) | |
| ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₁ (inj₁ (tt , 𝔽 , 𝔽)) ⟧⟫ | |
| ∷ | |
| ⟪ ⇒ ∣ | |
| (id↔ ⊕ id↔) ⊚ | |
| (factor ⊕ id↔) ⊚ | |
| ((assocl⋆ ⊚ | |
| (swap⋆ ⊗ id↔) ⊚ | |
| assocr⋆ ⊚ | |
| dist ⊚ | |
| ((id↔ ⊗ | |
| ((swap⋆ ⊚ dist ⊚ (swap⋆ ⊕ swap⋆)) ⊚ | |
| (id↔ ⊕ (swap₊ ⊗ id↔)) ⊚ (swap⋆ ⊕ swap⋆) ⊚ factor ⊚ swap⋆)) | |
| ⊕ (id↔ ⊗ (swap₊ ⊗ id↔))) | |
| ⊚ factor ⊚ assocl⋆ ⊚ (swap⋆ ⊗ id↔) ⊚ assocr⋆) | |
| ⊕ id↔) | |
| ⊚ | |
| (((id↔ ⊗ ((dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ (swap₊ ⊗ id↔))) | |
| ⊚ | |
| (assocl⋆ ⊚ | |
| ((swap⋆ ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ swap⋆) ⊗ id↔) ⊚ | |
| assocr⋆) | |
| ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₁ (inj₁ (tt , 𝔽 , 𝔽)) ⟧⟫ | |
| ∷ | |
| ⟪ ⇒ ∣ | |
| id↔ ⊚ | |
| (factor ⊕ id↔) ⊚ | |
| ((assocl⋆ ⊚ | |
| (swap⋆ ⊗ id↔) ⊚ | |
| assocr⋆ ⊚ | |
| dist ⊚ | |
| ((id↔ ⊗ | |
| ((swap⋆ ⊚ dist ⊚ (swap⋆ ⊕ swap⋆)) ⊚ | |
| (id↔ ⊕ (swap₊ ⊗ id↔)) ⊚ (swap⋆ ⊕ swap⋆) ⊚ factor ⊚ swap⋆)) | |
| ⊕ (id↔ ⊗ (swap₊ ⊗ id↔))) | |
| ⊚ factor ⊚ assocl⋆ ⊚ (swap⋆ ⊗ id↔) ⊚ assocr⋆) | |
| ⊕ id↔) | |
| ⊚ | |
| (((id↔ ⊗ ((dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ (swap₊ ⊗ id↔))) | |
| ⊚ | |
| (assocl⋆ ⊚ | |
| ((swap⋆ ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ swap⋆) ⊗ id↔) ⊚ | |
| assocr⋆) | |
| ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₁ (inj₁ (tt , 𝔽 , 𝔽)) ⟧⟫ | |
| ∷ | |
| ⟪ ⇒ ∣ | |
| (factor ⊕ id↔) ⊚ | |
| ((assocl⋆ ⊚ | |
| (swap⋆ ⊗ id↔) ⊚ | |
| assocr⋆ ⊚ | |
| dist ⊚ | |
| ((id↔ ⊗ | |
| ((swap⋆ ⊚ dist ⊚ (swap⋆ ⊕ swap⋆)) ⊚ | |
| (id↔ ⊕ (swap₊ ⊗ id↔)) ⊚ (swap⋆ ⊕ swap⋆) ⊚ factor ⊚ swap⋆)) | |
| ⊕ (id↔ ⊗ (swap₊ ⊗ id↔))) | |
| ⊚ factor ⊚ assocl⋆ ⊚ (swap⋆ ⊗ id↔) ⊚ assocr⋆) | |
| ⊕ id↔) | |
| ⊚ | |
| (((id↔ ⊗ ((dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ (swap₊ ⊗ id↔))) | |
| ⊚ | |
| (assocl⋆ ⊚ | |
| ((swap⋆ ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ swap⋆) ⊗ id↔) ⊚ | |
| assocr⋆) | |
| ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₁ (inj₁ (tt , 𝔽 , 𝔽)) ⟧⟫ | |
| ∷ | |
| ⟪ ⇒ ∣ | |
| (id↔ ⊕ id↔) ⊚ | |
| ((assocl⋆ ⊚ | |
| (swap⋆ ⊗ id↔) ⊚ | |
| assocr⋆ ⊚ | |
| dist ⊚ | |
| ((id↔ ⊗ | |
| ((swap⋆ ⊚ dist ⊚ (swap⋆ ⊕ swap⋆)) ⊚ | |
| (id↔ ⊕ (swap₊ ⊗ id↔)) ⊚ (swap⋆ ⊕ swap⋆) ⊚ factor ⊚ swap⋆)) | |
| ⊕ (id↔ ⊗ (swap₊ ⊗ id↔))) | |
| ⊚ factor ⊚ assocl⋆ ⊚ (swap⋆ ⊗ id↔) ⊚ assocr⋆) | |
| ⊕ id↔) | |
| ⊚ | |
| (((id↔ ⊗ ((dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ (swap₊ ⊗ id↔))) | |
| ⊚ | |
| (assocl⋆ ⊚ | |
| ((swap⋆ ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ swap⋆) ⊗ id↔) ⊚ | |
| assocr⋆) | |
| ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₁ (𝔽 , 𝔽 , 𝔽) ⟧⟫ | |
| ∷ | |
| ⟪ ⇒ ∣ | |
| id↔ ⊚ | |
| ((assocl⋆ ⊚ | |
| (swap⋆ ⊗ id↔) ⊚ | |
| assocr⋆ ⊚ | |
| dist ⊚ | |
| ((id↔ ⊗ | |
| ((swap⋆ ⊚ dist ⊚ (swap⋆ ⊕ swap⋆)) ⊚ | |
| (id↔ ⊕ (swap₊ ⊗ id↔)) ⊚ (swap⋆ ⊕ swap⋆) ⊚ factor ⊚ swap⋆)) | |
| ⊕ (id↔ ⊗ (swap₊ ⊗ id↔))) | |
| ⊚ factor ⊚ assocl⋆ ⊚ (swap⋆ ⊗ id↔) ⊚ assocr⋆) | |
| ⊕ id↔) | |
| ⊚ | |
| (((id↔ ⊗ ((dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ (swap₊ ⊗ id↔))) | |
| ⊚ | |
| (assocl⋆ ⊚ | |
| ((swap⋆ ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ swap⋆) ⊗ id↔) ⊚ | |
| assocr⋆) | |
| ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₁ (𝔽 , 𝔽 , 𝔽) ⟧⟫ | |
| ∷ | |
| ⟪ ⇒ ∣ | |
| ((assocl⋆ ⊚ | |
| (swap⋆ ⊗ id↔) ⊚ | |
| assocr⋆ ⊚ | |
| dist ⊚ | |
| ((id↔ ⊗ | |
| ((swap⋆ ⊚ dist ⊚ (swap⋆ ⊕ swap⋆)) ⊚ | |
| (id↔ ⊕ (swap₊ ⊗ id↔)) ⊚ (swap⋆ ⊕ swap⋆) ⊚ factor ⊚ swap⋆)) | |
| ⊕ (id↔ ⊗ (swap₊ ⊗ id↔))) | |
| ⊚ factor ⊚ assocl⋆ ⊚ (swap⋆ ⊗ id↔) ⊚ assocr⋆) | |
| ⊕ id↔) | |
| ⊚ | |
| (((id↔ ⊗ ((dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ (swap₊ ⊗ id↔))) | |
| ⊚ | |
| (assocl⋆ ⊚ | |
| ((swap⋆ ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ swap⋆) ⊗ id↔) ⊚ | |
| assocr⋆) | |
| ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₁ (𝔽 , 𝔽 , 𝔽) ⟧⟫ | |
| ∷ | |
| ⟪ ⇒ ∣ | |
| ((id↔ ⊚ | |
| (swap⋆ ⊗ id↔) ⊚ | |
| assocr⋆ ⊚ | |
| dist ⊚ | |
| ((id↔ ⊗ | |
| ((swap⋆ ⊚ dist ⊚ (swap⋆ ⊕ swap⋆)) ⊚ | |
| (id↔ ⊕ (swap₊ ⊗ id↔)) ⊚ (swap⋆ ⊕ swap⋆) ⊚ factor ⊚ swap⋆)) | |
| ⊕ (id↔ ⊗ (swap₊ ⊗ id↔))) | |
| ⊚ factor ⊚ assocl⋆ ⊚ (swap⋆ ⊗ id↔) ⊚ assocr⋆) | |
| ⊕ id↔) | |
| ⊚ | |
| (((id↔ ⊗ ((dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ (swap₊ ⊗ id↔))) | |
| ⊚ | |
| (assocl⋆ ⊚ | |
| ((swap⋆ ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ swap⋆) ⊗ id↔) ⊚ | |
| assocr⋆) | |
| ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₁ ((𝔽 , 𝔽) , 𝔽) ⟧⟫ | |
| ∷ | |
| ⟪ ⇒ ∣ | |
| (((swap⋆ ⊗ id↔) ⊚ | |
| assocr⋆ ⊚ | |
| dist ⊚ | |
| ((id↔ ⊗ | |
| ((swap⋆ ⊚ dist ⊚ (swap⋆ ⊕ swap⋆)) ⊚ | |
| (id↔ ⊕ (swap₊ ⊗ id↔)) ⊚ (swap⋆ ⊕ swap⋆) ⊚ factor ⊚ swap⋆)) | |
| ⊕ (id↔ ⊗ (swap₊ ⊗ id↔))) | |
| ⊚ factor ⊚ assocl⋆ ⊚ (swap⋆ ⊗ id↔) ⊚ assocr⋆) | |
| ⊕ id↔) | |
| ⊚ | |
| (((id↔ ⊗ ((dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ (swap₊ ⊗ id↔))) | |
| ⊚ | |
| (assocl⋆ ⊚ | |
| ((swap⋆ ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ swap⋆) ⊗ id↔) ⊚ | |
| assocr⋆) | |
| ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₁ ((𝔽 , 𝔽) , 𝔽) ⟧⟫ | |
| ∷ | |
| ⟪ ⇒ ∣ | |
| (((id↔ ⊗ id↔) ⊚ | |
| assocr⋆ ⊚ | |
| dist ⊚ | |
| ((id↔ ⊗ | |
| ((swap⋆ ⊚ dist ⊚ (swap⋆ ⊕ swap⋆)) ⊚ | |
| (id↔ ⊕ (swap₊ ⊗ id↔)) ⊚ (swap⋆ ⊕ swap⋆) ⊚ factor ⊚ swap⋆)) | |
| ⊕ (id↔ ⊗ (swap₊ ⊗ id↔))) | |
| ⊚ factor ⊚ assocl⋆ ⊚ (swap⋆ ⊗ id↔) ⊚ assocr⋆) | |
| ⊕ id↔) | |
| ⊚ | |
| (((id↔ ⊗ ((dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ (swap₊ ⊗ id↔))) | |
| ⊚ | |
| (assocl⋆ ⊚ | |
| ((swap⋆ ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ swap⋆) ⊗ id↔) ⊚ | |
| assocr⋆) | |
| ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₁ ((𝔽 , 𝔽) , 𝔽) ⟧⟫ | |
| ∷ | |
| ⟪ ⇒ ∣ | |
| ((id↔ ⊚ | |
| assocr⋆ ⊚ | |
| dist ⊚ | |
| ((id↔ ⊗ | |
| ((swap⋆ ⊚ dist ⊚ (swap⋆ ⊕ swap⋆)) ⊚ | |
| (id↔ ⊕ (swap₊ ⊗ id↔)) ⊚ (swap⋆ ⊕ swap⋆) ⊚ factor ⊚ swap⋆)) | |
| ⊕ (id↔ ⊗ (swap₊ ⊗ id↔))) | |
| ⊚ factor ⊚ assocl⋆ ⊚ (swap⋆ ⊗ id↔) ⊚ assocr⋆) | |
| ⊕ id↔) | |
| ⊚ | |
| (((id↔ ⊗ ((dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ (swap₊ ⊗ id↔))) | |
| ⊚ | |
| (assocl⋆ ⊚ | |
| ((swap⋆ ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ swap⋆) ⊗ id↔) ⊚ | |
| assocr⋆) | |
| ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₁ ((𝔽 , 𝔽) , 𝔽) ⟧⟫ | |
| ∷ | |
| ⟪ ⇒ ∣ | |
| ((assocr⋆ ⊚ | |
| dist ⊚ | |
| ((id↔ ⊗ | |
| ((swap⋆ ⊚ dist ⊚ (swap⋆ ⊕ swap⋆)) ⊚ | |
| (id↔ ⊕ (swap₊ ⊗ id↔)) ⊚ (swap⋆ ⊕ swap⋆) ⊚ factor ⊚ swap⋆)) | |
| ⊕ (id↔ ⊗ (swap₊ ⊗ id↔))) | |
| ⊚ factor ⊚ assocl⋆ ⊚ (swap⋆ ⊗ id↔) ⊚ assocr⋆) | |
| ⊕ id↔) | |
| ⊚ | |
| (((id↔ ⊗ ((dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ (swap₊ ⊗ id↔))) | |
| ⊚ | |
| (assocl⋆ ⊚ | |
| ((swap⋆ ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ swap⋆) ⊗ id↔) ⊚ | |
| assocr⋆) | |
| ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₁ ((𝔽 , 𝔽) , 𝔽) ⟧⟫ | |
| ∷ | |
| ⟪ ⇒ ∣ | |
| ((id↔ ⊚ | |
| dist ⊚ | |
| ((id↔ ⊗ | |
| ((swap⋆ ⊚ dist ⊚ (swap⋆ ⊕ swap⋆)) ⊚ | |
| (id↔ ⊕ (swap₊ ⊗ id↔)) ⊚ (swap⋆ ⊕ swap⋆) ⊚ factor ⊚ swap⋆)) | |
| ⊕ (id↔ ⊗ (swap₊ ⊗ id↔))) | |
| ⊚ factor ⊚ assocl⋆ ⊚ (swap⋆ ⊗ id↔) ⊚ assocr⋆) | |
| ⊕ id↔) | |
| ⊚ | |
| (((id↔ ⊗ ((dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ (swap₊ ⊗ id↔))) | |
| ⊚ | |
| (assocl⋆ ⊚ | |
| ((swap⋆ ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ swap⋆) ⊗ id↔) ⊚ | |
| assocr⋆) | |
| ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₁ (𝔽 , 𝔽 , 𝔽) ⟧⟫ | |
| ∷ | |
| ⟪ ⇒ ∣ | |
| ((dist ⊚ | |
| ((id↔ ⊗ | |
| ((swap⋆ ⊚ dist ⊚ (swap⋆ ⊕ swap⋆)) ⊚ | |
| (id↔ ⊕ (swap₊ ⊗ id↔)) ⊚ (swap⋆ ⊕ swap⋆) ⊚ factor ⊚ swap⋆)) | |
| ⊕ (id↔ ⊗ (swap₊ ⊗ id↔))) | |
| ⊚ factor ⊚ assocl⋆ ⊚ (swap⋆ ⊗ id↔) ⊚ assocr⋆) | |
| ⊕ id↔) | |
| ⊚ | |
| (((id↔ ⊗ ((dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ (swap₊ ⊗ id↔))) | |
| ⊚ | |
| (assocl⋆ ⊚ | |
| ((swap⋆ ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ swap⋆) ⊗ id↔) ⊚ | |
| assocr⋆) | |
| ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₁ (𝔽 , 𝔽 , 𝔽) ⟧⟫ | |
| ∷ | |
| ⟪ ⇒ ∣ | |
| ((id↔ ⊚ | |
| ((id↔ ⊗ | |
| ((swap⋆ ⊚ dist ⊚ (swap⋆ ⊕ swap⋆)) ⊚ | |
| (id↔ ⊕ (swap₊ ⊗ id↔)) ⊚ (swap⋆ ⊕ swap⋆) ⊚ factor ⊚ swap⋆)) | |
| ⊕ (id↔ ⊗ (swap₊ ⊗ id↔))) | |
| ⊚ factor ⊚ assocl⋆ ⊚ (swap⋆ ⊗ id↔) ⊚ assocr⋆) | |
| ⊕ id↔) | |
| ⊚ | |
| (((id↔ ⊗ ((dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ (swap₊ ⊗ id↔))) | |
| ⊚ | |
| (assocl⋆ ⊚ | |
| ((swap⋆ ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ swap⋆) ⊗ id↔) ⊚ | |
| assocr⋆) | |
| ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₁ (inj₁ (tt , 𝔽 , 𝔽)) ⟧⟫ | |
| ∷ | |
| ⟪ ⇒ ∣ | |
| ((((id↔ ⊗ | |
| ((swap⋆ ⊚ dist ⊚ (swap⋆ ⊕ swap⋆)) ⊚ | |
| (id↔ ⊕ (swap₊ ⊗ id↔)) ⊚ (swap⋆ ⊕ swap⋆) ⊚ factor ⊚ swap⋆)) | |
| ⊕ (id↔ ⊗ (swap₊ ⊗ id↔))) | |
| ⊚ factor ⊚ assocl⋆ ⊚ (swap⋆ ⊗ id↔) ⊚ assocr⋆) | |
| ⊕ id↔) | |
| ⊚ | |
| (((id↔ ⊗ ((dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ (swap₊ ⊗ id↔))) | |
| ⊚ | |
| (assocl⋆ ⊚ | |
| ((swap⋆ ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ swap⋆) ⊗ id↔) ⊚ | |
| assocr⋆) | |
| ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₁ (inj₁ (tt , 𝔽 , 𝔽)) ⟧⟫ | |
| ∷ | |
| ⟪ ⇒ ∣ | |
| ((((id↔ ⊗ | |
| ((id↔ ⊚ dist ⊚ (swap⋆ ⊕ swap⋆)) ⊚ | |
| (id↔ ⊕ (swap₊ ⊗ id↔)) ⊚ (swap⋆ ⊕ swap⋆) ⊚ factor ⊚ swap⋆)) | |
| ⊕ (id↔ ⊗ (swap₊ ⊗ id↔))) | |
| ⊚ factor ⊚ assocl⋆ ⊚ (swap⋆ ⊗ id↔) ⊚ assocr⋆) | |
| ⊕ id↔) | |
| ⊚ | |
| (((id↔ ⊗ ((dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ (swap₊ ⊗ id↔))) | |
| ⊚ | |
| (assocl⋆ ⊚ | |
| ((swap⋆ ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ swap⋆) ⊗ id↔) ⊚ | |
| assocr⋆) | |
| ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₁ (inj₁ (tt , 𝔽 , 𝔽)) ⟧⟫ | |
| ∷ | |
| ⟪ ⇒ ∣ | |
| ((((id↔ ⊗ | |
| ((dist ⊚ (swap⋆ ⊕ swap⋆)) ⊚ | |
| (id↔ ⊕ (swap₊ ⊗ id↔)) ⊚ (swap⋆ ⊕ swap⋆) ⊚ factor ⊚ swap⋆)) | |
| ⊕ (id↔ ⊗ (swap₊ ⊗ id↔))) | |
| ⊚ factor ⊚ assocl⋆ ⊚ (swap⋆ ⊗ id↔) ⊚ assocr⋆) | |
| ⊕ id↔) | |
| ⊚ | |
| (((id↔ ⊗ ((dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ (swap₊ ⊗ id↔))) | |
| ⊚ | |
| (assocl⋆ ⊚ | |
| ((swap⋆ ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ swap⋆) ⊗ id↔) ⊚ | |
| assocr⋆) | |
| ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₁ (inj₁ (tt , 𝔽 , 𝔽)) ⟧⟫ | |
| ∷ | |
| ⟪ ⇒ ∣ | |
| ((((id↔ ⊗ | |
| ((id↔ ⊚ (swap⋆ ⊕ swap⋆)) ⊚ | |
| (id↔ ⊕ (swap₊ ⊗ id↔)) ⊚ (swap⋆ ⊕ swap⋆) ⊚ factor ⊚ swap⋆)) | |
| ⊕ (id↔ ⊗ (swap₊ ⊗ id↔))) | |
| ⊚ factor ⊚ assocl⋆ ⊚ (swap⋆ ⊗ id↔) ⊚ assocr⋆) | |
| ⊕ id↔) | |
| ⊚ | |
| (((id↔ ⊗ ((dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ (swap₊ ⊗ id↔))) | |
| ⊚ | |
| (assocl⋆ ⊚ | |
| ((swap⋆ ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ swap⋆) ⊗ id↔) ⊚ | |
| assocr⋆) | |
| ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₁ (inj₁ (tt , inj₁ (tt , 𝔽))) ⟧⟫ | |
| ∷ | |
| ⟪ ⇒ ∣ | |
| ((((id↔ ⊗ | |
| ((swap⋆ ⊕ swap⋆) ⊚ | |
| (id↔ ⊕ (swap₊ ⊗ id↔)) ⊚ (swap⋆ ⊕ swap⋆) ⊚ factor ⊚ swap⋆)) | |
| ⊕ (id↔ ⊗ (swap₊ ⊗ id↔))) | |
| ⊚ factor ⊚ assocl⋆ ⊚ (swap⋆ ⊗ id↔) ⊚ assocr⋆) | |
| ⊕ id↔) | |
| ⊚ | |
| (((id↔ ⊗ ((dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ (swap₊ ⊗ id↔))) | |
| ⊚ | |
| (assocl⋆ ⊚ | |
| ((swap⋆ ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ swap⋆) ⊗ id↔) ⊚ | |
| assocr⋆) | |
| ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₁ (inj₁ (tt , inj₁ (tt , 𝔽))) ⟧⟫ | |
| ∷ | |
| ⟪ ⇒ ∣ | |
| ((((id↔ ⊗ | |
| ((id↔ ⊕ swap⋆) ⊚ | |
| (id↔ ⊕ (swap₊ ⊗ id↔)) ⊚ (swap⋆ ⊕ swap⋆) ⊚ factor ⊚ swap⋆)) | |
| ⊕ (id↔ ⊗ (swap₊ ⊗ id↔))) | |
| ⊚ factor ⊚ assocl⋆ ⊚ (swap⋆ ⊗ id↔) ⊚ assocr⋆) | |
| ⊕ id↔) | |
| ⊚ | |
| (((id↔ ⊗ ((dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ (swap₊ ⊗ id↔))) | |
| ⊚ | |
| (assocl⋆ ⊚ | |
| ((swap⋆ ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ swap⋆) ⊗ id↔) ⊚ | |
| assocr⋆) | |
| ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₁ (inj₁ (tt , inj₁ (𝔽 , tt))) ⟧⟫ | |
| ∷ | |
| ⟪ ⇒ ∣ | |
| ((((id↔ ⊗ | |
| ((id↔ ⊕ id↔) ⊚ | |
| (id↔ ⊕ (swap₊ ⊗ id↔)) ⊚ (swap⋆ ⊕ swap⋆) ⊚ factor ⊚ swap⋆)) | |
| ⊕ (id↔ ⊗ (swap₊ ⊗ id↔))) | |
| ⊚ factor ⊚ assocl⋆ ⊚ (swap⋆ ⊗ id↔) ⊚ assocr⋆) | |
| ⊕ id↔) | |
| ⊚ | |
| (((id↔ ⊗ ((dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ (swap₊ ⊗ id↔))) | |
| ⊚ | |
| (assocl⋆ ⊚ | |
| ((swap⋆ ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ swap⋆) ⊗ id↔) ⊚ | |
| assocr⋆) | |
| ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₁ (inj₁ (tt , inj₁ (𝔽 , tt))) ⟧⟫ | |
| ∷ | |
| ⟪ ⇒ ∣ | |
| ((((id↔ ⊗ | |
| (id↔ ⊚ (id↔ ⊕ (swap₊ ⊗ id↔)) ⊚ (swap⋆ ⊕ swap⋆) ⊚ factor ⊚ swap⋆)) | |
| ⊕ (id↔ ⊗ (swap₊ ⊗ id↔))) | |
| ⊚ factor ⊚ assocl⋆ ⊚ (swap⋆ ⊗ id↔) ⊚ assocr⋆) | |
| ⊕ id↔) | |
| ⊚ | |
| (((id↔ ⊗ ((dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ (swap₊ ⊗ id↔))) | |
| ⊚ | |
| (assocl⋆ ⊚ | |
| ((swap⋆ ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ swap⋆) ⊗ id↔) ⊚ | |
| assocr⋆) | |
| ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₁ (inj₁ (tt , inj₁ (𝔽 , tt))) ⟧⟫ | |
| ∷ | |
| ⟪ ⇒ ∣ | |
| ((((id↔ ⊗ | |
| ((id↔ ⊕ (swap₊ ⊗ id↔)) ⊚ (swap⋆ ⊕ swap⋆) ⊚ factor ⊚ swap⋆)) | |
| ⊕ (id↔ ⊗ (swap₊ ⊗ id↔))) | |
| ⊚ factor ⊚ assocl⋆ ⊚ (swap⋆ ⊗ id↔) ⊚ assocr⋆) | |
| ⊕ id↔) | |
| ⊚ | |
| (((id↔ ⊗ ((dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ (swap₊ ⊗ id↔))) | |
| ⊚ | |
| (assocl⋆ ⊚ | |
| ((swap⋆ ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ swap⋆) ⊗ id↔) ⊚ | |
| assocr⋆) | |
| ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₁ (inj₁ (tt , inj₁ (𝔽 , tt))) ⟧⟫ | |
| ∷ | |
| ⟪ ⇒ ∣ | |
| ((((id↔ ⊗ ((id↔ ⊕ (id↔ ⊗ id↔)) ⊚ (swap⋆ ⊕ swap⋆) ⊚ factor ⊚ swap⋆)) | |
| ⊕ (id↔ ⊗ (swap₊ ⊗ id↔))) | |
| ⊚ factor ⊚ assocl⋆ ⊚ (swap⋆ ⊗ id↔) ⊚ assocr⋆) | |
| ⊕ id↔) | |
| ⊚ | |
| (((id↔ ⊗ ((dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ (swap₊ ⊗ id↔))) | |
| ⊚ | |
| (assocl⋆ ⊚ | |
| ((swap⋆ ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ swap⋆) ⊗ id↔) ⊚ | |
| assocr⋆) | |
| ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₁ (inj₁ (tt , inj₁ (𝔽 , tt))) ⟧⟫ | |
| ∷ | |
| ⟪ ⇒ ∣ | |
| ((((id↔ ⊗ ((id↔ ⊕ id↔) ⊚ (swap⋆ ⊕ swap⋆) ⊚ factor ⊚ swap⋆)) ⊕ | |
| (id↔ ⊗ (swap₊ ⊗ id↔))) | |
| ⊚ factor ⊚ assocl⋆ ⊚ (swap⋆ ⊗ id↔) ⊚ assocr⋆) | |
| ⊕ id↔) | |
| ⊚ | |
| (((id↔ ⊗ ((dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ (swap₊ ⊗ id↔))) | |
| ⊚ | |
| (assocl⋆ ⊚ | |
| ((swap⋆ ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ swap⋆) ⊗ id↔) ⊚ | |
| assocr⋆) | |
| ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₁ (inj₁ (tt , inj₁ (𝔽 , tt))) ⟧⟫ | |
| ∷ | |
| ⟪ ⇒ ∣ | |
| ((((id↔ ⊗ (id↔ ⊚ (swap⋆ ⊕ swap⋆) ⊚ factor ⊚ swap⋆)) ⊕ | |
| (id↔ ⊗ (swap₊ ⊗ id↔))) | |
| ⊚ factor ⊚ assocl⋆ ⊚ (swap⋆ ⊗ id↔) ⊚ assocr⋆) | |
| ⊕ id↔) | |
| ⊚ | |
| (((id↔ ⊗ ((dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ (swap₊ ⊗ id↔))) | |
| ⊚ | |
| (assocl⋆ ⊚ | |
| ((swap⋆ ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ swap⋆) ⊗ id↔) ⊚ | |
| assocr⋆) | |
| ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₁ (inj₁ (tt , inj₁ (𝔽 , tt))) ⟧⟫ | |
| ∷ | |
| ⟪ ⇒ ∣ | |
| ((((id↔ ⊗ ((swap⋆ ⊕ swap⋆) ⊚ factor ⊚ swap⋆)) ⊕ | |
| (id↔ ⊗ (swap₊ ⊗ id↔))) | |
| ⊚ factor ⊚ assocl⋆ ⊚ (swap⋆ ⊗ id↔) ⊚ assocr⋆) | |
| ⊕ id↔) | |
| ⊚ | |
| (((id↔ ⊗ ((dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ (swap₊ ⊗ id↔))) | |
| ⊚ | |
| (assocl⋆ ⊚ | |
| ((swap⋆ ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ swap⋆) ⊗ id↔) ⊚ | |
| assocr⋆) | |
| ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₁ (inj₁ (tt , inj₁ (𝔽 , tt))) ⟧⟫ | |
| ∷ | |
| ⟪ ⇒ ∣ | |
| ((((id↔ ⊗ ((id↔ ⊕ swap⋆) ⊚ factor ⊚ swap⋆)) ⊕ | |
| (id↔ ⊗ (swap₊ ⊗ id↔))) | |
| ⊚ factor ⊚ assocl⋆ ⊚ (swap⋆ ⊗ id↔) ⊚ assocr⋆) | |
| ⊕ id↔) | |
| ⊚ | |
| (((id↔ ⊗ ((dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ (swap₊ ⊗ id↔))) | |
| ⊚ | |
| (assocl⋆ ⊚ | |
| ((swap⋆ ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ swap⋆) ⊗ id↔) ⊚ | |
| assocr⋆) | |
| ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₁ (inj₁ (tt , inj₁ (tt , 𝔽))) ⟧⟫ | |
| ∷ | |
| ⟪ ⇒ ∣ | |
| ((((id↔ ⊗ ((id↔ ⊕ id↔) ⊚ factor ⊚ swap⋆)) ⊕ (id↔ ⊗ (swap₊ ⊗ id↔))) | |
| ⊚ factor ⊚ assocl⋆ ⊚ (swap⋆ ⊗ id↔) ⊚ assocr⋆) | |
| ⊕ id↔) | |
| ⊚ | |
| (((id↔ ⊗ ((dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ (swap₊ ⊗ id↔))) | |
| ⊚ | |
| (assocl⋆ ⊚ | |
| ((swap⋆ ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ swap⋆) ⊗ id↔) ⊚ | |
| assocr⋆) | |
| ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₁ (inj₁ (tt , inj₁ (tt , 𝔽))) ⟧⟫ | |
| ∷ | |
| ⟪ ⇒ ∣ | |
| ((((id↔ ⊗ (id↔ ⊚ factor ⊚ swap⋆)) ⊕ (id↔ ⊗ (swap₊ ⊗ id↔))) ⊚ | |
| factor ⊚ assocl⋆ ⊚ (swap⋆ ⊗ id↔) ⊚ assocr⋆) | |
| ⊕ id↔) | |
| ⊚ | |
| (((id↔ ⊗ ((dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ (swap₊ ⊗ id↔))) | |
| ⊚ | |
| (assocl⋆ ⊚ | |
| ((swap⋆ ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ swap⋆) ⊗ id↔) ⊚ | |
| assocr⋆) | |
| ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₁ (inj₁ (tt , inj₁ (tt , 𝔽))) ⟧⟫ | |
| ∷ | |
| ⟪ ⇒ ∣ | |
| ((((id↔ ⊗ (factor ⊚ swap⋆)) ⊕ (id↔ ⊗ (swap₊ ⊗ id↔))) ⊚ | |
| factor ⊚ assocl⋆ ⊚ (swap⋆ ⊗ id↔) ⊚ assocr⋆) | |
| ⊕ id↔) | |
| ⊚ | |
| (((id↔ ⊗ ((dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ (swap₊ ⊗ id↔))) | |
| ⊚ | |
| (assocl⋆ ⊚ | |
| ((swap⋆ ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ swap⋆) ⊗ id↔) ⊚ | |
| assocr⋆) | |
| ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₁ (inj₁ (tt , inj₁ (tt , 𝔽))) ⟧⟫ | |
| ∷ | |
| ⟪ ⇒ ∣ | |
| ((((id↔ ⊗ (id↔ ⊚ swap⋆)) ⊕ (id↔ ⊗ (swap₊ ⊗ id↔))) ⊚ | |
| factor ⊚ assocl⋆ ⊚ (swap⋆ ⊗ id↔) ⊚ assocr⋆) | |
| ⊕ id↔) | |
| ⊚ | |
| (((id↔ ⊗ ((dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ (swap₊ ⊗ id↔))) | |
| ⊚ | |
| (assocl⋆ ⊚ | |
| ((swap⋆ ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ swap⋆) ⊗ id↔) ⊚ | |
| assocr⋆) | |
| ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₁ (inj₁ (tt , 𝔽 , 𝔽)) ⟧⟫ | |
| ∷ | |
| ⟪ ⇒ ∣ | |
| ((((id↔ ⊗ swap⋆) ⊕ (id↔ ⊗ (swap₊ ⊗ id↔))) ⊚ | |
| factor ⊚ assocl⋆ ⊚ (swap⋆ ⊗ id↔) ⊚ assocr⋆) | |
| ⊕ id↔) | |
| ⊚ | |
| (((id↔ ⊗ ((dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ (swap₊ ⊗ id↔))) | |
| ⊚ | |
| (assocl⋆ ⊚ | |
| ((swap⋆ ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ swap⋆) ⊗ id↔) ⊚ | |
| assocr⋆) | |
| ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₁ (inj₁ (tt , 𝔽 , 𝔽)) ⟧⟫ | |
| ∷ | |
| ⟪ ⇒ ∣ | |
| ((((id↔ ⊗ id↔) ⊕ (id↔ ⊗ (swap₊ ⊗ id↔))) ⊚ | |
| factor ⊚ assocl⋆ ⊚ (swap⋆ ⊗ id↔) ⊚ assocr⋆) | |
| ⊕ id↔) | |
| ⊚ | |
| (((id↔ ⊗ ((dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ (swap₊ ⊗ id↔))) | |
| ⊚ | |
| (assocl⋆ ⊚ | |
| ((swap⋆ ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ swap⋆) ⊗ id↔) ⊚ | |
| assocr⋆) | |
| ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₁ (inj₁ (tt , 𝔽 , 𝔽)) ⟧⟫ | |
| ∷ | |
| ⟪ ⇒ ∣ | |
| (((id↔ ⊕ (id↔ ⊗ (swap₊ ⊗ id↔))) ⊚ | |
| factor ⊚ assocl⋆ ⊚ (swap⋆ ⊗ id↔) ⊚ assocr⋆) | |
| ⊕ id↔) | |
| ⊚ | |
| (((id↔ ⊗ ((dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ (swap₊ ⊗ id↔))) | |
| ⊚ | |
| (assocl⋆ ⊚ | |
| ((swap⋆ ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ swap⋆) ⊗ id↔) ⊚ | |
| assocr⋆) | |
| ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₁ (inj₁ (tt , 𝔽 , 𝔽)) ⟧⟫ | |
| ∷ | |
| ⟪ ⇒ ∣ | |
| (((id↔ ⊕ (id↔ ⊗ (id↔ ⊗ id↔))) ⊚ | |
| factor ⊚ assocl⋆ ⊚ (swap⋆ ⊗ id↔) ⊚ assocr⋆) | |
| ⊕ id↔) | |
| ⊚ | |
| (((id↔ ⊗ ((dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ (swap₊ ⊗ id↔))) | |
| ⊚ | |
| (assocl⋆ ⊚ | |
| ((swap⋆ ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ swap⋆) ⊗ id↔) ⊚ | |
| assocr⋆) | |
| ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₁ (inj₁ (tt , 𝔽 , 𝔽)) ⟧⟫ | |
| ∷ | |
| ⟪ ⇒ ∣ | |
| (((id↔ ⊕ (id↔ ⊗ id↔)) ⊚ factor ⊚ assocl⋆ ⊚ (swap⋆ ⊗ id↔) ⊚ assocr⋆) | |
| ⊕ id↔) | |
| ⊚ | |
| (((id↔ ⊗ ((dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ (swap₊ ⊗ id↔))) | |
| ⊚ | |
| (assocl⋆ ⊚ | |
| ((swap⋆ ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ swap⋆) ⊗ id↔) ⊚ | |
| assocr⋆) | |
| ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₁ (inj₁ (tt , 𝔽 , 𝔽)) ⟧⟫ | |
| ∷ | |
| ⟪ ⇒ ∣ | |
| (((id↔ ⊕ id↔) ⊚ factor ⊚ assocl⋆ ⊚ (swap⋆ ⊗ id↔) ⊚ assocr⋆) ⊕ id↔) | |
| ⊚ | |
| (((id↔ ⊗ ((dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ (swap₊ ⊗ id↔))) | |
| ⊚ | |
| (assocl⋆ ⊚ | |
| ((swap⋆ ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ swap⋆) ⊗ id↔) ⊚ | |
| assocr⋆) | |
| ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₁ (inj₁ (tt , 𝔽 , 𝔽)) ⟧⟫ | |
| ∷ | |
| ⟪ ⇒ ∣ | |
| ((id↔ ⊚ factor ⊚ assocl⋆ ⊚ (swap⋆ ⊗ id↔) ⊚ assocr⋆) ⊕ id↔) ⊚ | |
| (((id↔ ⊗ ((dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ (swap₊ ⊗ id↔))) | |
| ⊚ | |
| (assocl⋆ ⊚ | |
| ((swap⋆ ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ swap⋆) ⊗ id↔) ⊚ | |
| assocr⋆) | |
| ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₁ (inj₁ (tt , 𝔽 , 𝔽)) ⟧⟫ | |
| ∷ | |
| ⟪ ⇒ ∣ | |
| ((factor ⊚ assocl⋆ ⊚ (swap⋆ ⊗ id↔) ⊚ assocr⋆) ⊕ id↔) ⊚ | |
| (((id↔ ⊗ ((dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ (swap₊ ⊗ id↔))) | |
| ⊚ | |
| (assocl⋆ ⊚ | |
| ((swap⋆ ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ swap⋆) ⊗ id↔) ⊚ | |
| assocr⋆) | |
| ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₁ (inj₁ (tt , 𝔽 , 𝔽)) ⟧⟫ | |
| ∷ | |
| ⟪ ⇒ ∣ | |
| ((id↔ ⊚ assocl⋆ ⊚ (swap⋆ ⊗ id↔) ⊚ assocr⋆) ⊕ id↔) ⊚ | |
| (((id↔ ⊗ ((dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ (swap₊ ⊗ id↔))) | |
| ⊚ | |
| (assocl⋆ ⊚ | |
| ((swap⋆ ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ swap⋆) ⊗ id↔) ⊚ | |
| assocr⋆) | |
| ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₁ (𝔽 , 𝔽 , 𝔽) ⟧⟫ | |
| ∷ | |
| ⟪ ⇒ ∣ | |
| ((assocl⋆ ⊚ (swap⋆ ⊗ id↔) ⊚ assocr⋆) ⊕ id↔) ⊚ | |
| (((id↔ ⊗ ((dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ (swap₊ ⊗ id↔))) | |
| ⊚ | |
| (assocl⋆ ⊚ | |
| ((swap⋆ ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ swap⋆) ⊗ id↔) ⊚ | |
| assocr⋆) | |
| ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₁ (𝔽 , 𝔽 , 𝔽) ⟧⟫ | |
| ∷ | |
| ⟪ ⇒ ∣ | |
| ((id↔ ⊚ (swap⋆ ⊗ id↔) ⊚ assocr⋆) ⊕ id↔) ⊚ | |
| (((id↔ ⊗ ((dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ (swap₊ ⊗ id↔))) | |
| ⊚ | |
| (assocl⋆ ⊚ | |
| ((swap⋆ ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ swap⋆) ⊗ id↔) ⊚ | |
| assocr⋆) | |
| ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₁ ((𝔽 , 𝔽) , 𝔽) ⟧⟫ | |
| ∷ | |
| ⟪ ⇒ ∣ | |
| (((swap⋆ ⊗ id↔) ⊚ assocr⋆) ⊕ id↔) ⊚ | |
| (((id↔ ⊗ ((dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ (swap₊ ⊗ id↔))) | |
| ⊚ | |
| (assocl⋆ ⊚ | |
| ((swap⋆ ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ swap⋆) ⊗ id↔) ⊚ | |
| assocr⋆) | |
| ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₁ ((𝔽 , 𝔽) , 𝔽) ⟧⟫ | |
| ∷ | |
| ⟪ ⇒ ∣ | |
| (((id↔ ⊗ id↔) ⊚ assocr⋆) ⊕ id↔) ⊚ | |
| (((id↔ ⊗ ((dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ (swap₊ ⊗ id↔))) | |
| ⊚ | |
| (assocl⋆ ⊚ | |
| ((swap⋆ ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ swap⋆) ⊗ id↔) ⊚ | |
| assocr⋆) | |
| ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₁ ((𝔽 , 𝔽) , 𝔽) ⟧⟫ | |
| ∷ | |
| ⟪ ⇒ ∣ | |
| ((id↔ ⊚ assocr⋆) ⊕ id↔) ⊚ | |
| (((id↔ ⊗ ((dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ (swap₊ ⊗ id↔))) | |
| ⊚ | |
| (assocl⋆ ⊚ | |
| ((swap⋆ ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ swap⋆) ⊗ id↔) ⊚ | |
| assocr⋆) | |
| ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₁ ((𝔽 , 𝔽) , 𝔽) ⟧⟫ | |
| ∷ | |
| ⟪ ⇒ ∣ | |
| (assocr⋆ ⊕ id↔) ⊚ | |
| (((id↔ ⊗ ((dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ (swap₊ ⊗ id↔))) | |
| ⊚ | |
| (assocl⋆ ⊚ | |
| ((swap⋆ ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ swap⋆) ⊗ id↔) ⊚ | |
| assocr⋆) | |
| ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₁ ((𝔽 , 𝔽) , 𝔽) ⟧⟫ | |
| ∷ | |
| ⟪ ⇒ ∣ | |
| (id↔ ⊕ id↔) ⊚ | |
| (((id↔ ⊗ ((dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ (swap₊ ⊗ id↔))) | |
| ⊚ | |
| (assocl⋆ ⊚ | |
| ((swap⋆ ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ swap⋆) ⊗ id↔) ⊚ | |
| assocr⋆) | |
| ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₁ (𝔽 , 𝔽 , 𝔽) ⟧⟫ | |
| ∷ | |
| ⟪ ⇒ ∣ | |
| id↔ ⊚ | |
| (((id↔ ⊗ ((dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ (swap₊ ⊗ id↔))) | |
| ⊚ | |
| (assocl⋆ ⊚ | |
| ((swap⋆ ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ swap⋆) ⊗ id↔) ⊚ | |
| assocr⋆) | |
| ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₁ (𝔽 , 𝔽 , 𝔽) ⟧⟫ | |
| ∷ | |
| ⟪ ⇒ ∣ | |
| (((id↔ ⊗ ((dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ (swap₊ ⊗ id↔))) | |
| ⊚ | |
| (assocl⋆ ⊚ | |
| ((swap⋆ ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ swap⋆) ⊗ id↔) ⊚ | |
| assocr⋆) | |
| ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₁ (𝔽 , 𝔽 , 𝔽) ⟧⟫ | |
| ∷ | |
| ⟪ ⇒ ∣ | |
| (((id↔ ⊗ ((id↔ ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ (swap₊ ⊗ id↔))) | |
| ⊚ | |
| (assocl⋆ ⊚ | |
| ((swap⋆ ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ swap⋆) ⊗ id↔) ⊚ | |
| assocr⋆) | |
| ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₁ (𝔽 , inj₁ (tt , 𝔽)) ⟧⟫ | |
| ∷ | |
| ⟪ ⇒ ∣ | |
| (((id↔ ⊗ (((id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ (swap₊ ⊗ id↔))) ⊚ | |
| (assocl⋆ ⊚ | |
| ((swap⋆ ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ swap⋆) ⊗ id↔) ⊚ | |
| assocr⋆) | |
| ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₁ (𝔽 , inj₁ (tt , 𝔽)) ⟧⟫ | |
| ∷ | |
| ⟪ ⇒ ∣ | |
| (((id↔ ⊗ (((id↔ ⊕ (id↔ ⊗ id↔)) ⊚ factor) ⊚ (swap₊ ⊗ id↔))) ⊚ | |
| (assocl⋆ ⊚ | |
| ((swap⋆ ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ swap⋆) ⊗ id↔) ⊚ | |
| assocr⋆) | |
| ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₁ (𝔽 , inj₁ (tt , 𝔽)) ⟧⟫ | |
| ∷ | |
| ⟪ ⇒ ∣ | |
| (((id↔ ⊗ (((id↔ ⊕ id↔) ⊚ factor) ⊚ (swap₊ ⊗ id↔))) ⊚ | |
| (assocl⋆ ⊚ | |
| ((swap⋆ ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ swap⋆) ⊗ id↔) ⊚ | |
| assocr⋆) | |
| ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₁ (𝔽 , inj₁ (tt , 𝔽)) ⟧⟫ | |
| ∷ | |
| ⟪ ⇒ ∣ | |
| (((id↔ ⊗ ((id↔ ⊚ factor) ⊚ (swap₊ ⊗ id↔))) ⊚ | |
| (assocl⋆ ⊚ | |
| ((swap⋆ ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ swap⋆) ⊗ id↔) ⊚ | |
| assocr⋆) | |
| ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₁ (𝔽 , inj₁ (tt , 𝔽)) ⟧⟫ | |
| ∷ | |
| ⟪ ⇒ ∣ | |
| (((id↔ ⊗ (factor ⊚ (swap₊ ⊗ id↔))) ⊚ | |
| (assocl⋆ ⊚ | |
| ((swap⋆ ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ swap⋆) ⊗ id↔) ⊚ | |
| assocr⋆) | |
| ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₁ (𝔽 , inj₁ (tt , 𝔽)) ⟧⟫ | |
| ∷ | |
| ⟪ ⇒ ∣ | |
| (((id↔ ⊗ (id↔ ⊚ (swap₊ ⊗ id↔))) ⊚ | |
| (assocl⋆ ⊚ | |
| ((swap⋆ ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ swap⋆) ⊗ id↔) ⊚ | |
| assocr⋆) | |
| ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₁ (𝔽 , 𝔽 , 𝔽) ⟧⟫ | |
| ∷ | |
| ⟪ ⇒ ∣ | |
| (((id↔ ⊗ (swap₊ ⊗ id↔)) ⊚ | |
| (assocl⋆ ⊚ | |
| ((swap⋆ ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ swap⋆) ⊗ id↔) ⊚ | |
| assocr⋆) | |
| ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₁ (𝔽 , 𝔽 , 𝔽) ⟧⟫ | |
| ∷ | |
| ⟪ ⇒ ∣ | |
| (((id↔ ⊗ (id↔ ⊗ id↔)) ⊚ | |
| (assocl⋆ ⊚ | |
| ((swap⋆ ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ swap⋆) ⊗ id↔) ⊚ | |
| assocr⋆) | |
| ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₁ (𝔽 , 𝕋 , 𝔽) ⟧⟫ | |
| ∷ | |
| ⟪ ⇒ ∣ | |
| (((id↔ ⊗ id↔) ⊚ | |
| (assocl⋆ ⊚ | |
| ((swap⋆ ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ swap⋆) ⊗ id↔) ⊚ | |
| assocr⋆) | |
| ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₁ (𝔽 , 𝕋 , 𝔽) ⟧⟫ | |
| ∷ | |
| ⟪ ⇒ ∣ | |
| ((id↔ ⊚ | |
| (assocl⋆ ⊚ | |
| ((swap⋆ ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ swap⋆) ⊗ id↔) ⊚ | |
| assocr⋆) | |
| ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₁ (𝔽 , 𝕋 , 𝔽) ⟧⟫ | |
| ∷ | |
| ⟪ ⇒ ∣ | |
| (((assocl⋆ ⊚ | |
| ((swap⋆ ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ swap⋆) ⊗ id↔) ⊚ | |
| assocr⋆) | |
| ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₁ (𝔽 , 𝕋 , 𝔽) ⟧⟫ | |
| ∷ | |
| ⟪ ⇒ ∣ | |
| (((id↔ ⊚ | |
| ((swap⋆ ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ swap⋆) ⊗ id↔) ⊚ | |
| assocr⋆) | |
| ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₁ ((𝔽 , 𝕋) , 𝔽) ⟧⟫ | |
| ∷ | |
| ⟪ ⇒ ∣ | |
| (((((swap⋆ ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ swap⋆) ⊗ | |
| id↔) | |
| ⊚ assocr⋆) | |
| ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₁ ((𝔽 , 𝕋) , 𝔽) ⟧⟫ | |
| ∷ | |
| ⟪ ⇒ ∣ | |
| (((((id↔ ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ swap⋆) ⊗ id↔) | |
| ⊚ assocr⋆) | |
| ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₁ ((𝕋 , 𝔽) , 𝔽) ⟧⟫ | |
| ∷ | |
| ⟪ ⇒ ∣ | |
| ((((((dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ swap⋆) ⊗ id↔) ⊚ | |
| assocr⋆) | |
| ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₁ ((𝕋 , 𝔽) , 𝔽) ⟧⟫ | |
| ∷ | |
| ⟪ ⇒ ∣ | |
| ((((((id↔ ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ swap⋆) ⊗ id↔) ⊚ | |
| assocr⋆) | |
| ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₁ (inj₂ (tt , 𝔽) , 𝔽) ⟧⟫ | |
| ∷ | |
| ⟪ ⇒ ∣ | |
| (((((((id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ swap⋆) ⊗ id↔) ⊚ assocr⋆) ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₁ (inj₂ (tt , 𝔽) , 𝔽) ⟧⟫ | |
| ∷ | |
| ⟪ ⇒ ∣ | |
| (((((((id↔ ⊕ (id↔ ⊗ id↔)) ⊚ factor) ⊚ swap⋆) ⊗ id↔) ⊚ assocr⋆) ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₁ (inj₂ (tt , 𝕋) , 𝔽) ⟧⟫ | |
| ∷ | |
| ⟪ ⇒ ∣ | |
| (((((((id↔ ⊕ id↔) ⊚ factor) ⊚ swap⋆) ⊗ id↔) ⊚ assocr⋆) ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₁ (inj₂ (tt , 𝕋) , 𝔽) ⟧⟫ | |
| ∷ | |
| ⟪ ⇒ ∣ | |
| ((((((id↔ ⊚ factor) ⊚ swap⋆) ⊗ id↔) ⊚ assocr⋆) ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₁ (inj₂ (tt , 𝕋) , 𝔽) ⟧⟫ | |
| ∷ | |
| ⟪ ⇒ ∣ | |
| (((((factor ⊚ swap⋆) ⊗ id↔) ⊚ assocr⋆) ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₁ (inj₂ (tt , 𝕋) , 𝔽) ⟧⟫ | |
| ∷ | |
| ⟪ ⇒ ∣ | |
| (((((id↔ ⊚ swap⋆) ⊗ id↔) ⊚ assocr⋆) ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₁ ((𝕋 , 𝕋) , 𝔽) ⟧⟫ | |
| ∷ | |
| ⟪ ⇒ ∣ | |
| ((((swap⋆ ⊗ id↔) ⊚ assocr⋆) ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₁ ((𝕋 , 𝕋) , 𝔽) ⟧⟫ | |
| ∷ | |
| ⟪ ⇒ ∣ | |
| ((((id↔ ⊗ id↔) ⊚ assocr⋆) ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₁ ((𝕋 , 𝕋) , 𝔽) ⟧⟫ | |
| ∷ | |
| ⟪ ⇒ ∣ | |
| (((id↔ ⊚ assocr⋆) ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₁ ((𝕋 , 𝕋) , 𝔽) ⟧⟫ | |
| ∷ | |
| ⟪ ⇒ ∣ | |
| ((assocr⋆ ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₁ ((𝕋 , 𝕋) , 𝔽) ⟧⟫ | |
| ∷ | |
| ⟪ ⇒ ∣ | |
| ((id↔ ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₁ (𝕋 , 𝕋 , 𝔽) ⟧⟫ | |
| ∷ | |
| ⟪ ⇒ ∣ | |
| ((id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor)) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₁ (𝕋 , 𝕋 , 𝔽) ⟧⟫ | |
| ∷ | |
| ⟪ ⇒ ∣ | |
| ((id↔ ⊗ ((id↔ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor)) ⊕ | |
| id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₁ (𝕋 , 𝔽 , 𝔽) ⟧⟫ | |
| ∷ | |
| ⟪ ⇒ ∣ | |
| ((id↔ ⊗ (id↔ ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor)) ⊕ id↔) ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₁ (𝕋 , 𝔽 , 𝔽) ⟧⟫ | |
| ∷ | |
| ⟪ ⇒ ∣ | |
| ((id↔ ⊗ ((dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor)) ⊕ id↔) ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₁ (𝕋 , 𝔽 , 𝔽) ⟧⟫ | |
| ∷ | |
| ⟪ ⇒ ∣ | |
| ((id↔ ⊗ ((id↔ ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor)) ⊕ id↔) ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₁ (𝕋 , inj₁ (tt , 𝔽)) ⟧⟫ | |
| ∷ | |
| ⟪ ⇒ ∣ | |
| ((id↔ ⊗ ((id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor)) ⊕ id↔) ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₁ (𝕋 , inj₁ (tt , 𝔽)) ⟧⟫ | |
| ∷ | |
| ⟪ ⇒ ∣ | |
| ((id↔ ⊗ ((id↔ ⊕ (id↔ ⊗ id↔)) ⊚ factor)) ⊕ id↔) ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₁ (𝕋 , inj₁ (tt , 𝔽)) ⟧⟫ | |
| ∷ | |
| ⟪ ⇒ ∣ | |
| ((id↔ ⊗ ((id↔ ⊕ id↔) ⊚ factor)) ⊕ id↔) ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₁ (𝕋 , inj₁ (tt , 𝔽)) ⟧⟫ | |
| ∷ | |
| ⟪ ⇒ ∣ | |
| ((id↔ ⊗ (id↔ ⊚ factor)) ⊕ id↔) ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₁ (𝕋 , inj₁ (tt , 𝔽)) ⟧⟫ | |
| ∷ | |
| ⟪ ⇒ ∣ | |
| ((id↔ ⊗ factor) ⊕ id↔) ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₁ (𝕋 , inj₁ (tt , 𝔽)) ⟧⟫ | |
| ∷ | |
| ⟪ ⇒ ∣ | |
| ((id↔ ⊗ id↔) ⊕ id↔) ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₁ (𝕋 , 𝔽 , 𝔽) ⟧⟫ | |
| ∷ | |
| ⟪ ⇒ ∣ | |
| (id↔ ⊕ id↔) ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₁ (𝕋 , 𝔽 , 𝔽) ⟧⟫ | |
| ∷ | |
| ⟪ ⇒ ∣ | |
| id↔ ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₁ (𝕋 , 𝔽 , 𝔽) ⟧⟫ | |
| ∷ | |
| ⟪ ⇒ ∣ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₁ (𝕋 , 𝔽 , 𝔽) ⟧⟫ | |
| ∷ | |
| ⟪ ⇒ ∣ | |
| (id↔ ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₁ (inj₂ (tt , 𝔽 , 𝔽)) ⟧⟫ | |
| ∷ | |
| ⟪ ⇒ ∣ | |
| id↔ ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₁ (inj₂ (tt , 𝔽 , 𝔽)) ⟧⟫ | |
| ∷ | |
| ⟪ ⇒ ∣ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₁ (inj₂ (tt , 𝔽 , 𝔽)) ⟧⟫ | |
| ∷ | |
| ⟪ ⇒ ∣ | |
| (id↔ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₂ (inj₁ (tt , 𝔽 , 𝔽)) ⟧⟫ | |
| ∷ | |
| ⟪ ⇒ ∣ | |
| ((id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₂ (inj₁ (tt , 𝔽 , 𝔽)) ⟧⟫ | |
| ∷ | |
| ⟪ ⇒ ∣ | |
| ((id↔ ⊕ (id↔ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₂ (inj₁ (inj₁ (tt , 𝔽 , 𝔽))) ⟧⟫ | |
| ∷ | |
| ⟪ ⇒ ∣ | |
| ((id↔ ⊕ ((swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₂ (inj₁ (inj₁ (tt , 𝔽 , 𝔽))) ⟧⟫ | |
| ∷ | |
| ⟪ ⇒ ∣ | |
| ((id↔ ⊕ ((id↔ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₂ (inj₁ (inj₂ (tt , 𝔽 , 𝔽))) ⟧⟫ | |
| ∷ | |
| ⟪ ⇒ ∣ | |
| ((id↔ ⊕ (id↔ ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₂ (inj₁ (inj₂ (tt , 𝔽 , 𝔽))) ⟧⟫ | |
| ∷ | |
| ⟪ ⇒ ∣ | |
| ((id↔ ⊕ assocr₊) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₂ (inj₁ (inj₂ (tt , 𝔽 , 𝔽))) ⟧⟫ | |
| ∷ | |
| ⟪ ⇒ ∣ | |
| ((id↔ ⊕ id↔) ⊚ assocl₊) ⊚ (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor ⟦ | |
| inj₂ (inj₂ (inj₁ (tt , 𝔽 , 𝔽))) ⟧⟫ | |
| ∷ | |
| ⟪ ⇒ ∣ (id↔ ⊚ assocl₊) ⊚ (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor ⟦ | |
| inj₂ (inj₂ (inj₁ (tt , 𝔽 , 𝔽))) ⟧⟫ | |
| ∷ | |
| ⟪ ⇒ ∣ assocl₊ ⊚ (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor ⟦ | |
| inj₂ (inj₂ (inj₁ (tt , 𝔽 , 𝔽))) ⟧⟫ | |
| ∷ | |
| ⟪ ⇒ ∣ id↔ ⊚ (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor ⟦ | |
| inj₂ (inj₁ (tt , 𝔽 , 𝔽)) ⟧⟫ | |
| ∷ | |
| ⟪ ⇒ ∣ (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor ⟦ | |
| inj₂ (inj₁ (tt , 𝔽 , 𝔽)) ⟧⟫ | |
| ∷ | |
| ⟪ ⇐ ∣ (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor ⟦ | |
| inj₂ (inj₂ (- (tt , 𝔽 , 𝔽))) ⟧⟫ | |
| ∷ | |
| ⟪ ⇐ ∣ id↔ ⊚ (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor ⟦ | |
| inj₂ (inj₂ (- (tt , 𝔽 , 𝔽))) ⟧⟫ | |
| ∷ | |
| ⟪ ⇐ ∣ assocl₊ ⊚ (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor ⟦ | |
| inj₂ (inj₂ (inj₂ (- (tt , 𝔽 , 𝔽)))) ⟧⟫ | |
| ∷ | |
| ⟪ ⇐ ∣ (id↔ ⊚ assocl₊) ⊚ (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor ⟦ | |
| inj₂ (inj₂ (inj₂ (- (tt , 𝔽 , 𝔽)))) ⟧⟫ | |
| ∷ | |
| ⟪ ⇐ ∣ | |
| ((id↔ ⊕ id↔) ⊚ assocl₊) ⊚ (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor ⟦ | |
| inj₂ (inj₂ (inj₂ (- (tt , 𝔽 , 𝔽)))) ⟧⟫ | |
| ∷ | |
| ⟪ ⇐ ∣ | |
| ((id↔ ⊕ assocr₊) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₂ (inj₂ (- (tt , 𝔽 , 𝔽))) ⟧⟫ | |
| ∷ | |
| ⟪ ⇐ ∣ | |
| ((id↔ ⊕ (id↔ ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₂ (inj₂ (- (tt , 𝔽 , 𝔽))) ⟧⟫ | |
| ∷ | |
| ⟪ ⇐ ∣ | |
| ((id↔ ⊕ ((id↔ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₂ (inj₂ (- (tt , 𝔽 , 𝔽))) ⟧⟫ | |
| ∷ | |
| ⟪ ⇐ ∣ | |
| ((id↔ ⊕ ((swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₂ (inj₂ (- (tt , 𝔽 , 𝔽))) ⟧⟫ | |
| ∷ | |
| ⟪ ⇐ ∣ | |
| ((id↔ ⊕ (id↔ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₂ (inj₂ (- (tt , 𝔽 , 𝔽))) ⟧⟫ | |
| ∷ | |
| ⟪ ⇐ ∣ | |
| ((id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₂ (inj₂ (inj₂ (- (tt , 𝔽 , 𝔽)))) ⟧⟫ | |
| ∷ | |
| ⟪ ⇐ ∣ | |
| (id↔ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₂ (inj₂ (inj₂ (- (tt , 𝔽 , 𝔽)))) ⟧⟫ | |
| ∷ | |
| ⟪ ⇐ ∣ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₂ (inj₂ (- (tt , 𝔽 , 𝔽))) ⟧⟫ | |
| ∷ | |
| ⟪ ⇐ ∣ | |
| id↔ ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₂ (inj₂ (- (tt , 𝔽 , 𝔽))) ⟧⟫ | |
| ∷ | |
| ⟪ ⇐ ∣ | |
| (id↔ ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₂ (inj₂ (- (tt , 𝔽 , 𝔽))) ⟧⟫ | |
| ∷ | |
| ⟪ ⇐ ∣ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₂ (inj₂ (- (tt , 𝔽 , 𝔽))) ⟧⟫ | |
| ∷ | |
| ⟪ ⇐ ∣ | |
| id↔ ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₂ (inj₂ (- (tt , 𝔽 , 𝔽))) ⟧⟫ | |
| ∷ | |
| ⟪ ⇐ ∣ | |
| (id↔ ⊕ id↔) ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₂ (inj₂ (- (tt , 𝔽 , 𝔽))) ⟧⟫ | |
| ∷ | |
| ⟪ ⇐ ∣ | |
| ((id↔ ⊗ id↔) ⊕ id↔) ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₂ (inj₂ (- (tt , 𝔽 , 𝔽))) ⟧⟫ | |
| ∷ | |
| ⟪ ⇐ ∣ | |
| ((id↔ ⊗ factor) ⊕ id↔) ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₂ (inj₂ (- (tt , 𝔽 , 𝔽))) ⟧⟫ | |
| ∷ | |
| ⟪ ⇐ ∣ | |
| ((id↔ ⊗ (id↔ ⊚ factor)) ⊕ id↔) ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₂ (inj₂ (- (tt , 𝔽 , 𝔽))) ⟧⟫ | |
| ∷ | |
| ⟪ ⇐ ∣ | |
| ((id↔ ⊗ ((id↔ ⊕ id↔) ⊚ factor)) ⊕ id↔) ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₂ (inj₂ (- (tt , 𝔽 , 𝔽))) ⟧⟫ | |
| ∷ | |
| ⟪ ⇐ ∣ | |
| ((id↔ ⊗ ((id↔ ⊕ (id↔ ⊗ id↔)) ⊚ factor)) ⊕ id↔) ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₂ (inj₂ (- (tt , 𝔽 , 𝔽))) ⟧⟫ | |
| ∷ | |
| ⟪ ⇐ ∣ | |
| ((id↔ ⊗ ((id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor)) ⊕ id↔) ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₂ (inj₂ (- (tt , 𝔽 , 𝔽))) ⟧⟫ | |
| ∷ | |
| ⟪ ⇐ ∣ | |
| ((id↔ ⊗ ((id↔ ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor)) ⊕ id↔) ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₂ (inj₂ (- (tt , 𝔽 , 𝔽))) ⟧⟫ | |
| ∷ | |
| ⟪ ⇐ ∣ | |
| ((id↔ ⊗ ((dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor)) ⊕ id↔) ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₂ (inj₂ (- (tt , 𝔽 , 𝔽))) ⟧⟫ | |
| ∷ | |
| ⟪ ⇐ ∣ | |
| ((id↔ ⊗ (id↔ ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor)) ⊕ id↔) ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₂ (inj₂ (- (tt , 𝔽 , 𝔽))) ⟧⟫ | |
| ∷ | |
| ⟪ ⇐ ∣ | |
| ((id↔ ⊗ ((id↔ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor)) ⊕ | |
| id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₂ (inj₂ (- (tt , 𝔽 , 𝔽))) ⟧⟫ | |
| ∷ | |
| ⟪ ⇐ ∣ | |
| ((id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor)) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₂ (inj₂ (- (tt , 𝔽 , 𝔽))) ⟧⟫ | |
| ∷ | |
| ⟪ ⇐ ∣ | |
| ((id↔ ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₂ (inj₂ (- (tt , 𝔽 , 𝔽))) ⟧⟫ | |
| ∷ | |
| ⟪ ⇐ ∣ | |
| ((assocr⋆ ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₂ (inj₂ (- (tt , 𝔽 , 𝔽))) ⟧⟫ | |
| ∷ | |
| ⟪ ⇐ ∣ | |
| (((id↔ ⊚ assocr⋆) ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₂ (inj₂ (- (tt , 𝔽 , 𝔽))) ⟧⟫ | |
| ∷ | |
| ⟪ ⇐ ∣ | |
| ((((id↔ ⊗ id↔) ⊚ assocr⋆) ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₂ (inj₂ (- (tt , 𝔽 , 𝔽))) ⟧⟫ | |
| ∷ | |
| ⟪ ⇐ ∣ | |
| ((((swap⋆ ⊗ id↔) ⊚ assocr⋆) ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₂ (inj₂ (- (tt , 𝔽 , 𝔽))) ⟧⟫ | |
| ∷ | |
| ⟪ ⇐ ∣ | |
| (((((id↔ ⊚ swap⋆) ⊗ id↔) ⊚ assocr⋆) ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₂ (inj₂ (- (tt , 𝔽 , 𝔽))) ⟧⟫ | |
| ∷ | |
| ⟪ ⇐ ∣ | |
| (((((factor ⊚ swap⋆) ⊗ id↔) ⊚ assocr⋆) ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₂ (inj₂ (- (tt , 𝔽 , 𝔽))) ⟧⟫ | |
| ∷ | |
| ⟪ ⇐ ∣ | |
| ((((((id↔ ⊚ factor) ⊚ swap⋆) ⊗ id↔) ⊚ assocr⋆) ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₂ (inj₂ (- (tt , 𝔽 , 𝔽))) ⟧⟫ | |
| ∷ | |
| ⟪ ⇐ ∣ | |
| (((((((id↔ ⊕ id↔) ⊚ factor) ⊚ swap⋆) ⊗ id↔) ⊚ assocr⋆) ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₂ (inj₂ (- (tt , 𝔽 , 𝔽))) ⟧⟫ | |
| ∷ | |
| ⟪ ⇐ ∣ | |
| (((((((id↔ ⊕ (id↔ ⊗ id↔)) ⊚ factor) ⊚ swap⋆) ⊗ id↔) ⊚ assocr⋆) ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₂ (inj₂ (- (tt , 𝔽 , 𝔽))) ⟧⟫ | |
| ∷ | |
| ⟪ ⇐ ∣ | |
| (((((((id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ swap⋆) ⊗ id↔) ⊚ assocr⋆) ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₂ (inj₂ (- (tt , 𝔽 , 𝔽))) ⟧⟫ | |
| ∷ | |
| ⟪ ⇐ ∣ | |
| ((((((id↔ ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ swap⋆) ⊗ id↔) ⊚ | |
| assocr⋆) | |
| ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₂ (inj₂ (- (tt , 𝔽 , 𝔽))) ⟧⟫ | |
| ∷ | |
| ⟪ ⇐ ∣ | |
| ((((((dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ swap⋆) ⊗ id↔) ⊚ | |
| assocr⋆) | |
| ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₂ (inj₂ (- (tt , 𝔽 , 𝔽))) ⟧⟫ | |
| ∷ | |
| ⟪ ⇐ ∣ | |
| (((((id↔ ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ swap⋆) ⊗ id↔) | |
| ⊚ assocr⋆) | |
| ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₂ (inj₂ (- (tt , 𝔽 , 𝔽))) ⟧⟫ | |
| ∷ | |
| ⟪ ⇐ ∣ | |
| (((((swap⋆ ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ swap⋆) ⊗ | |
| id↔) | |
| ⊚ assocr⋆) | |
| ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₂ (inj₂ (- (tt , 𝔽 , 𝔽))) ⟧⟫ | |
| ∷ | |
| ⟪ ⇐ ∣ | |
| (((id↔ ⊚ | |
| ((swap⋆ ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ swap⋆) ⊗ id↔) ⊚ | |
| assocr⋆) | |
| ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₂ (inj₂ (- (tt , 𝔽 , 𝔽))) ⟧⟫ | |
| ∷ | |
| ⟪ ⇐ ∣ | |
| (((assocl⋆ ⊚ | |
| ((swap⋆ ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ swap⋆) ⊗ id↔) ⊚ | |
| assocr⋆) | |
| ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₂ (inj₂ (- (tt , 𝔽 , 𝔽))) ⟧⟫ | |
| ∷ | |
| ⟪ ⇐ ∣ | |
| ((id↔ ⊚ | |
| (assocl⋆ ⊚ | |
| ((swap⋆ ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ swap⋆) ⊗ id↔) ⊚ | |
| assocr⋆) | |
| ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₂ (inj₂ (- (tt , 𝔽 , 𝔽))) ⟧⟫ | |
| ∷ | |
| ⟪ ⇐ ∣ | |
| (((id↔ ⊗ id↔) ⊚ | |
| (assocl⋆ ⊚ | |
| ((swap⋆ ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ swap⋆) ⊗ id↔) ⊚ | |
| assocr⋆) | |
| ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₂ (inj₂ (- (tt , 𝔽 , 𝔽))) ⟧⟫ | |
| ∷ | |
| ⟪ ⇐ ∣ | |
| (((id↔ ⊗ (id↔ ⊗ id↔)) ⊚ | |
| (assocl⋆ ⊚ | |
| ((swap⋆ ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ swap⋆) ⊗ id↔) ⊚ | |
| assocr⋆) | |
| ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₂ (inj₂ (- (tt , 𝔽 , 𝔽))) ⟧⟫ | |
| ∷ | |
| ⟪ ⇐ ∣ | |
| (((id↔ ⊗ (swap₊ ⊗ id↔)) ⊚ | |
| (assocl⋆ ⊚ | |
| ((swap⋆ ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ swap⋆) ⊗ id↔) ⊚ | |
| assocr⋆) | |
| ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₂ (inj₂ (- (tt , 𝔽 , 𝔽))) ⟧⟫ | |
| ∷ | |
| ⟪ ⇐ ∣ | |
| (((id↔ ⊗ (id↔ ⊚ (swap₊ ⊗ id↔))) ⊚ | |
| (assocl⋆ ⊚ | |
| ((swap⋆ ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ swap⋆) ⊗ id↔) ⊚ | |
| assocr⋆) | |
| ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₂ (inj₂ (- (tt , 𝔽 , 𝔽))) ⟧⟫ | |
| ∷ | |
| ⟪ ⇐ ∣ | |
| (((id↔ ⊗ (factor ⊚ (swap₊ ⊗ id↔))) ⊚ | |
| (assocl⋆ ⊚ | |
| ((swap⋆ ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ swap⋆) ⊗ id↔) ⊚ | |
| assocr⋆) | |
| ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₂ (inj₂ (- (tt , 𝔽 , 𝔽))) ⟧⟫ | |
| ∷ | |
| ⟪ ⇐ ∣ | |
| (((id↔ ⊗ ((id↔ ⊚ factor) ⊚ (swap₊ ⊗ id↔))) ⊚ | |
| (assocl⋆ ⊚ | |
| ((swap⋆ ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ swap⋆) ⊗ id↔) ⊚ | |
| assocr⋆) | |
| ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₂ (inj₂ (- (tt , 𝔽 , 𝔽))) ⟧⟫ | |
| ∷ | |
| ⟪ ⇐ ∣ | |
| (((id↔ ⊗ (((id↔ ⊕ id↔) ⊚ factor) ⊚ (swap₊ ⊗ id↔))) ⊚ | |
| (assocl⋆ ⊚ | |
| ((swap⋆ ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ swap⋆) ⊗ id↔) ⊚ | |
| assocr⋆) | |
| ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₂ (inj₂ (- (tt , 𝔽 , 𝔽))) ⟧⟫ | |
| ∷ | |
| ⟪ ⇐ ∣ | |
| (((id↔ ⊗ (((id↔ ⊕ (id↔ ⊗ id↔)) ⊚ factor) ⊚ (swap₊ ⊗ id↔))) ⊚ | |
| (assocl⋆ ⊚ | |
| ((swap⋆ ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ swap⋆) ⊗ id↔) ⊚ | |
| assocr⋆) | |
| ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₂ (inj₂ (- (tt , 𝔽 , 𝔽))) ⟧⟫ | |
| ∷ | |
| ⟪ ⇐ ∣ | |
| (((id↔ ⊗ (((id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ (swap₊ ⊗ id↔))) ⊚ | |
| (assocl⋆ ⊚ | |
| ((swap⋆ ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ swap⋆) ⊗ id↔) ⊚ | |
| assocr⋆) | |
| ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₂ (inj₂ (- (tt , 𝔽 , 𝔽))) ⟧⟫ | |
| ∷ | |
| ⟪ ⇐ ∣ | |
| (((id↔ ⊗ ((id↔ ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ (swap₊ ⊗ id↔))) | |
| ⊚ | |
| (assocl⋆ ⊚ | |
| ((swap⋆ ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ swap⋆) ⊗ id↔) ⊚ | |
| assocr⋆) | |
| ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₂ (inj₂ (- (tt , 𝔽 , 𝔽))) ⟧⟫ | |
| ∷ | |
| ⟪ ⇐ ∣ | |
| (((id↔ ⊗ ((dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ (swap₊ ⊗ id↔))) | |
| ⊚ | |
| (assocl⋆ ⊚ | |
| ((swap⋆ ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ swap⋆) ⊗ id↔) ⊚ | |
| assocr⋆) | |
| ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₂ (inj₂ (- (tt , 𝔽 , 𝔽))) ⟧⟫ | |
| ∷ | |
| ⟪ ⇐ ∣ | |
| id↔ ⊚ | |
| (((id↔ ⊗ ((dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ (swap₊ ⊗ id↔))) | |
| ⊚ | |
| (assocl⋆ ⊚ | |
| ((swap⋆ ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ swap⋆) ⊗ id↔) ⊚ | |
| assocr⋆) | |
| ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₂ (inj₂ (- (tt , 𝔽 , 𝔽))) ⟧⟫ | |
| ∷ | |
| ⟪ ⇐ ∣ | |
| (id↔ ⊕ id↔) ⊚ | |
| (((id↔ ⊗ ((dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ (swap₊ ⊗ id↔))) | |
| ⊚ | |
| (assocl⋆ ⊚ | |
| ((swap⋆ ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ swap⋆) ⊗ id↔) ⊚ | |
| assocr⋆) | |
| ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₂ (inj₂ (- (tt , 𝔽 , 𝔽))) ⟧⟫ | |
| ∷ | |
| ⟪ ⇐ ∣ | |
| (assocr⋆ ⊕ id↔) ⊚ | |
| (((id↔ ⊗ ((dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ (swap₊ ⊗ id↔))) | |
| ⊚ | |
| (assocl⋆ ⊚ | |
| ((swap⋆ ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ swap⋆) ⊗ id↔) ⊚ | |
| assocr⋆) | |
| ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₂ (inj₂ (- (tt , 𝔽 , 𝔽))) ⟧⟫ | |
| ∷ | |
| ⟪ ⇐ ∣ | |
| ((id↔ ⊚ assocr⋆) ⊕ id↔) ⊚ | |
| (((id↔ ⊗ ((dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ (swap₊ ⊗ id↔))) | |
| ⊚ | |
| (assocl⋆ ⊚ | |
| ((swap⋆ ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ swap⋆) ⊗ id↔) ⊚ | |
| assocr⋆) | |
| ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₂ (inj₂ (- (tt , 𝔽 , 𝔽))) ⟧⟫ | |
| ∷ | |
| ⟪ ⇐ ∣ | |
| (((id↔ ⊗ id↔) ⊚ assocr⋆) ⊕ id↔) ⊚ | |
| (((id↔ ⊗ ((dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ (swap₊ ⊗ id↔))) | |
| ⊚ | |
| (assocl⋆ ⊚ | |
| ((swap⋆ ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ swap⋆) ⊗ id↔) ⊚ | |
| assocr⋆) | |
| ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₂ (inj₂ (- (tt , 𝔽 , 𝔽))) ⟧⟫ | |
| ∷ | |
| ⟪ ⇐ ∣ | |
| (((swap⋆ ⊗ id↔) ⊚ assocr⋆) ⊕ id↔) ⊚ | |
| (((id↔ ⊗ ((dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ (swap₊ ⊗ id↔))) | |
| ⊚ | |
| (assocl⋆ ⊚ | |
| ((swap⋆ ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ swap⋆) ⊗ id↔) ⊚ | |
| assocr⋆) | |
| ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₂ (inj₂ (- (tt , 𝔽 , 𝔽))) ⟧⟫ | |
| ∷ | |
| ⟪ ⇐ ∣ | |
| ((id↔ ⊚ (swap⋆ ⊗ id↔) ⊚ assocr⋆) ⊕ id↔) ⊚ | |
| (((id↔ ⊗ ((dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ (swap₊ ⊗ id↔))) | |
| ⊚ | |
| (assocl⋆ ⊚ | |
| ((swap⋆ ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ swap⋆) ⊗ id↔) ⊚ | |
| assocr⋆) | |
| ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₂ (inj₂ (- (tt , 𝔽 , 𝔽))) ⟧⟫ | |
| ∷ | |
| ⟪ ⇐ ∣ | |
| ((assocl⋆ ⊚ (swap⋆ ⊗ id↔) ⊚ assocr⋆) ⊕ id↔) ⊚ | |
| (((id↔ ⊗ ((dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ (swap₊ ⊗ id↔))) | |
| ⊚ | |
| (assocl⋆ ⊚ | |
| ((swap⋆ ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ swap⋆) ⊗ id↔) ⊚ | |
| assocr⋆) | |
| ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₂ (inj₂ (- (tt , 𝔽 , 𝔽))) ⟧⟫ | |
| ∷ | |
| ⟪ ⇐ ∣ | |
| ((id↔ ⊚ assocl⋆ ⊚ (swap⋆ ⊗ id↔) ⊚ assocr⋆) ⊕ id↔) ⊚ | |
| (((id↔ ⊗ ((dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ (swap₊ ⊗ id↔))) | |
| ⊚ | |
| (assocl⋆ ⊚ | |
| ((swap⋆ ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ swap⋆) ⊗ id↔) ⊚ | |
| assocr⋆) | |
| ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₂ (inj₂ (- (tt , 𝔽 , 𝔽))) ⟧⟫ | |
| ∷ | |
| ⟪ ⇐ ∣ | |
| ((factor ⊚ assocl⋆ ⊚ (swap⋆ ⊗ id↔) ⊚ assocr⋆) ⊕ id↔) ⊚ | |
| (((id↔ ⊗ ((dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ (swap₊ ⊗ id↔))) | |
| ⊚ | |
| (assocl⋆ ⊚ | |
| ((swap⋆ ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ swap⋆) ⊗ id↔) ⊚ | |
| assocr⋆) | |
| ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₂ (inj₂ (- (tt , 𝔽 , 𝔽))) ⟧⟫ | |
| ∷ | |
| ⟪ ⇐ ∣ | |
| ((id↔ ⊚ factor ⊚ assocl⋆ ⊚ (swap⋆ ⊗ id↔) ⊚ assocr⋆) ⊕ id↔) ⊚ | |
| (((id↔ ⊗ ((dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ (swap₊ ⊗ id↔))) | |
| ⊚ | |
| (assocl⋆ ⊚ | |
| ((swap⋆ ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ swap⋆) ⊗ id↔) ⊚ | |
| assocr⋆) | |
| ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₂ (inj₂ (- (tt , 𝔽 , 𝔽))) ⟧⟫ | |
| ∷ | |
| ⟪ ⇐ ∣ | |
| (((id↔ ⊕ id↔) ⊚ factor ⊚ assocl⋆ ⊚ (swap⋆ ⊗ id↔) ⊚ assocr⋆) ⊕ id↔) | |
| ⊚ | |
| (((id↔ ⊗ ((dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ (swap₊ ⊗ id↔))) | |
| ⊚ | |
| (assocl⋆ ⊚ | |
| ((swap⋆ ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ swap⋆) ⊗ id↔) ⊚ | |
| assocr⋆) | |
| ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₂ (inj₂ (- (tt , 𝔽 , 𝔽))) ⟧⟫ | |
| ∷ | |
| ⟪ ⇐ ∣ | |
| (((id↔ ⊕ (id↔ ⊗ id↔)) ⊚ factor ⊚ assocl⋆ ⊚ (swap⋆ ⊗ id↔) ⊚ assocr⋆) | |
| ⊕ id↔) | |
| ⊚ | |
| (((id↔ ⊗ ((dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ (swap₊ ⊗ id↔))) | |
| ⊚ | |
| (assocl⋆ ⊚ | |
| ((swap⋆ ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ swap⋆) ⊗ id↔) ⊚ | |
| assocr⋆) | |
| ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₂ (inj₂ (- (tt , 𝔽 , 𝔽))) ⟧⟫ | |
| ∷ | |
| ⟪ ⇐ ∣ | |
| (((id↔ ⊕ (id↔ ⊗ (id↔ ⊗ id↔))) ⊚ | |
| factor ⊚ assocl⋆ ⊚ (swap⋆ ⊗ id↔) ⊚ assocr⋆) | |
| ⊕ id↔) | |
| ⊚ | |
| (((id↔ ⊗ ((dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ (swap₊ ⊗ id↔))) | |
| ⊚ | |
| (assocl⋆ ⊚ | |
| ((swap⋆ ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ swap⋆) ⊗ id↔) ⊚ | |
| assocr⋆) | |
| ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₂ (inj₂ (- (tt , 𝔽 , 𝔽))) ⟧⟫ | |
| ∷ | |
| ⟪ ⇐ ∣ | |
| (((id↔ ⊕ (id↔ ⊗ (swap₊ ⊗ id↔))) ⊚ | |
| factor ⊚ assocl⋆ ⊚ (swap⋆ ⊗ id↔) ⊚ assocr⋆) | |
| ⊕ id↔) | |
| ⊚ | |
| (((id↔ ⊗ ((dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ (swap₊ ⊗ id↔))) | |
| ⊚ | |
| (assocl⋆ ⊚ | |
| ((swap⋆ ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ swap⋆) ⊗ id↔) ⊚ | |
| assocr⋆) | |
| ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₂ (inj₂ (- (tt , 𝔽 , 𝔽))) ⟧⟫ | |
| ∷ | |
| ⟪ ⇐ ∣ | |
| ((((id↔ ⊗ id↔) ⊕ (id↔ ⊗ (swap₊ ⊗ id↔))) ⊚ | |
| factor ⊚ assocl⋆ ⊚ (swap⋆ ⊗ id↔) ⊚ assocr⋆) | |
| ⊕ id↔) | |
| ⊚ | |
| (((id↔ ⊗ ((dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ (swap₊ ⊗ id↔))) | |
| ⊚ | |
| (assocl⋆ ⊚ | |
| ((swap⋆ ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ swap⋆) ⊗ id↔) ⊚ | |
| assocr⋆) | |
| ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₂ (inj₂ (- (tt , 𝔽 , 𝔽))) ⟧⟫ | |
| ∷ | |
| ⟪ ⇐ ∣ | |
| ((((id↔ ⊗ swap⋆) ⊕ (id↔ ⊗ (swap₊ ⊗ id↔))) ⊚ | |
| factor ⊚ assocl⋆ ⊚ (swap⋆ ⊗ id↔) ⊚ assocr⋆) | |
| ⊕ id↔) | |
| ⊚ | |
| (((id↔ ⊗ ((dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ (swap₊ ⊗ id↔))) | |
| ⊚ | |
| (assocl⋆ ⊚ | |
| ((swap⋆ ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ swap⋆) ⊗ id↔) ⊚ | |
| assocr⋆) | |
| ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₂ (inj₂ (- (tt , 𝔽 , 𝔽))) ⟧⟫ | |
| ∷ | |
| ⟪ ⇐ ∣ | |
| ((((id↔ ⊗ (id↔ ⊚ swap⋆)) ⊕ (id↔ ⊗ (swap₊ ⊗ id↔))) ⊚ | |
| factor ⊚ assocl⋆ ⊚ (swap⋆ ⊗ id↔) ⊚ assocr⋆) | |
| ⊕ id↔) | |
| ⊚ | |
| (((id↔ ⊗ ((dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ (swap₊ ⊗ id↔))) | |
| ⊚ | |
| (assocl⋆ ⊚ | |
| ((swap⋆ ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ swap⋆) ⊗ id↔) ⊚ | |
| assocr⋆) | |
| ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₂ (inj₂ (- (tt , 𝔽 , 𝔽))) ⟧⟫ | |
| ∷ | |
| ⟪ ⇐ ∣ | |
| ((((id↔ ⊗ (factor ⊚ swap⋆)) ⊕ (id↔ ⊗ (swap₊ ⊗ id↔))) ⊚ | |
| factor ⊚ assocl⋆ ⊚ (swap⋆ ⊗ id↔) ⊚ assocr⋆) | |
| ⊕ id↔) | |
| ⊚ | |
| (((id↔ ⊗ ((dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ (swap₊ ⊗ id↔))) | |
| ⊚ | |
| (assocl⋆ ⊚ | |
| ((swap⋆ ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ swap⋆) ⊗ id↔) ⊚ | |
| assocr⋆) | |
| ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₂ (inj₂ (- (tt , 𝔽 , 𝔽))) ⟧⟫ | |
| ∷ | |
| ⟪ ⇐ ∣ | |
| ((((id↔ ⊗ (id↔ ⊚ factor ⊚ swap⋆)) ⊕ (id↔ ⊗ (swap₊ ⊗ id↔))) ⊚ | |
| factor ⊚ assocl⋆ ⊚ (swap⋆ ⊗ id↔) ⊚ assocr⋆) | |
| ⊕ id↔) | |
| ⊚ | |
| (((id↔ ⊗ ((dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ (swap₊ ⊗ id↔))) | |
| ⊚ | |
| (assocl⋆ ⊚ | |
| ((swap⋆ ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ swap⋆) ⊗ id↔) ⊚ | |
| assocr⋆) | |
| ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₂ (inj₂ (- (tt , 𝔽 , 𝔽))) ⟧⟫ | |
| ∷ | |
| ⟪ ⇐ ∣ | |
| ((((id↔ ⊗ ((id↔ ⊕ id↔) ⊚ factor ⊚ swap⋆)) ⊕ (id↔ ⊗ (swap₊ ⊗ id↔))) | |
| ⊚ factor ⊚ assocl⋆ ⊚ (swap⋆ ⊗ id↔) ⊚ assocr⋆) | |
| ⊕ id↔) | |
| ⊚ | |
| (((id↔ ⊗ ((dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ (swap₊ ⊗ id↔))) | |
| ⊚ | |
| (assocl⋆ ⊚ | |
| ((swap⋆ ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ swap⋆) ⊗ id↔) ⊚ | |
| assocr⋆) | |
| ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₂ (inj₂ (- (tt , 𝔽 , 𝔽))) ⟧⟫ | |
| ∷ | |
| ⟪ ⇐ ∣ | |
| ((((id↔ ⊗ ((id↔ ⊕ swap⋆) ⊚ factor ⊚ swap⋆)) ⊕ | |
| (id↔ ⊗ (swap₊ ⊗ id↔))) | |
| ⊚ factor ⊚ assocl⋆ ⊚ (swap⋆ ⊗ id↔) ⊚ assocr⋆) | |
| ⊕ id↔) | |
| ⊚ | |
| (((id↔ ⊗ ((dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ (swap₊ ⊗ id↔))) | |
| ⊚ | |
| (assocl⋆ ⊚ | |
| ((swap⋆ ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ swap⋆) ⊗ id↔) ⊚ | |
| assocr⋆) | |
| ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₂ (inj₂ (- (tt , 𝔽 , 𝔽))) ⟧⟫ | |
| ∷ | |
| ⟪ ⇐ ∣ | |
| ((((id↔ ⊗ ((swap⋆ ⊕ swap⋆) ⊚ factor ⊚ swap⋆)) ⊕ | |
| (id↔ ⊗ (swap₊ ⊗ id↔))) | |
| ⊚ factor ⊚ assocl⋆ ⊚ (swap⋆ ⊗ id↔) ⊚ assocr⋆) | |
| ⊕ id↔) | |
| ⊚ | |
| (((id↔ ⊗ ((dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ (swap₊ ⊗ id↔))) | |
| ⊚ | |
| (assocl⋆ ⊚ | |
| ((swap⋆ ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ swap⋆) ⊗ id↔) ⊚ | |
| assocr⋆) | |
| ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₂ (inj₂ (- (tt , 𝔽 , 𝔽))) ⟧⟫ | |
| ∷ | |
| ⟪ ⇐ ∣ | |
| ((((id↔ ⊗ (id↔ ⊚ (swap⋆ ⊕ swap⋆) ⊚ factor ⊚ swap⋆)) ⊕ | |
| (id↔ ⊗ (swap₊ ⊗ id↔))) | |
| ⊚ factor ⊚ assocl⋆ ⊚ (swap⋆ ⊗ id↔) ⊚ assocr⋆) | |
| ⊕ id↔) | |
| ⊚ | |
| (((id↔ ⊗ ((dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ (swap₊ ⊗ id↔))) | |
| ⊚ | |
| (assocl⋆ ⊚ | |
| ((swap⋆ ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ swap⋆) ⊗ id↔) ⊚ | |
| assocr⋆) | |
| ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₂ (inj₂ (- (tt , 𝔽 , 𝔽))) ⟧⟫ | |
| ∷ | |
| ⟪ ⇐ ∣ | |
| ((((id↔ ⊗ ((id↔ ⊕ id↔) ⊚ (swap⋆ ⊕ swap⋆) ⊚ factor ⊚ swap⋆)) ⊕ | |
| (id↔ ⊗ (swap₊ ⊗ id↔))) | |
| ⊚ factor ⊚ assocl⋆ ⊚ (swap⋆ ⊗ id↔) ⊚ assocr⋆) | |
| ⊕ id↔) | |
| ⊚ | |
| (((id↔ ⊗ ((dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ (swap₊ ⊗ id↔))) | |
| ⊚ | |
| (assocl⋆ ⊚ | |
| ((swap⋆ ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ swap⋆) ⊗ id↔) ⊚ | |
| assocr⋆) | |
| ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₂ (inj₂ (- (tt , 𝔽 , 𝔽))) ⟧⟫ | |
| ∷ | |
| ⟪ ⇐ ∣ | |
| ((((id↔ ⊗ ((id↔ ⊕ (id↔ ⊗ id↔)) ⊚ (swap⋆ ⊕ swap⋆) ⊚ factor ⊚ swap⋆)) | |
| ⊕ (id↔ ⊗ (swap₊ ⊗ id↔))) | |
| ⊚ factor ⊚ assocl⋆ ⊚ (swap⋆ ⊗ id↔) ⊚ assocr⋆) | |
| ⊕ id↔) | |
| ⊚ | |
| (((id↔ ⊗ ((dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ (swap₊ ⊗ id↔))) | |
| ⊚ | |
| (assocl⋆ ⊚ | |
| ((swap⋆ ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ swap⋆) ⊗ id↔) ⊚ | |
| assocr⋆) | |
| ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₂ (inj₂ (- (tt , 𝔽 , 𝔽))) ⟧⟫ | |
| ∷ | |
| ⟪ ⇐ ∣ | |
| ((((id↔ ⊗ | |
| ((id↔ ⊕ (swap₊ ⊗ id↔)) ⊚ (swap⋆ ⊕ swap⋆) ⊚ factor ⊚ swap⋆)) | |
| ⊕ (id↔ ⊗ (swap₊ ⊗ id↔))) | |
| ⊚ factor ⊚ assocl⋆ ⊚ (swap⋆ ⊗ id↔) ⊚ assocr⋆) | |
| ⊕ id↔) | |
| ⊚ | |
| (((id↔ ⊗ ((dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ (swap₊ ⊗ id↔))) | |
| ⊚ | |
| (assocl⋆ ⊚ | |
| ((swap⋆ ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ swap⋆) ⊗ id↔) ⊚ | |
| assocr⋆) | |
| ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₂ (inj₂ (- (tt , 𝔽 , 𝔽))) ⟧⟫ | |
| ∷ | |
| ⟪ ⇐ ∣ | |
| ((((id↔ ⊗ | |
| (id↔ ⊚ (id↔ ⊕ (swap₊ ⊗ id↔)) ⊚ (swap⋆ ⊕ swap⋆) ⊚ factor ⊚ swap⋆)) | |
| ⊕ (id↔ ⊗ (swap₊ ⊗ id↔))) | |
| ⊚ factor ⊚ assocl⋆ ⊚ (swap⋆ ⊗ id↔) ⊚ assocr⋆) | |
| ⊕ id↔) | |
| ⊚ | |
| (((id↔ ⊗ ((dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ (swap₊ ⊗ id↔))) | |
| ⊚ | |
| (assocl⋆ ⊚ | |
| ((swap⋆ ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ swap⋆) ⊗ id↔) ⊚ | |
| assocr⋆) | |
| ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₂ (inj₂ (- (tt , 𝔽 , 𝔽))) ⟧⟫ | |
| ∷ | |
| ⟪ ⇐ ∣ | |
| ((((id↔ ⊗ | |
| ((id↔ ⊕ id↔) ⊚ | |
| (id↔ ⊕ (swap₊ ⊗ id↔)) ⊚ (swap⋆ ⊕ swap⋆) ⊚ factor ⊚ swap⋆)) | |
| ⊕ (id↔ ⊗ (swap₊ ⊗ id↔))) | |
| ⊚ factor ⊚ assocl⋆ ⊚ (swap⋆ ⊗ id↔) ⊚ assocr⋆) | |
| ⊕ id↔) | |
| ⊚ | |
| (((id↔ ⊗ ((dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ (swap₊ ⊗ id↔))) | |
| ⊚ | |
| (assocl⋆ ⊚ | |
| ((swap⋆ ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ swap⋆) ⊗ id↔) ⊚ | |
| assocr⋆) | |
| ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₂ (inj₂ (- (tt , 𝔽 , 𝔽))) ⟧⟫ | |
| ∷ | |
| ⟪ ⇐ ∣ | |
| ((((id↔ ⊗ | |
| ((id↔ ⊕ swap⋆) ⊚ | |
| (id↔ ⊕ (swap₊ ⊗ id↔)) ⊚ (swap⋆ ⊕ swap⋆) ⊚ factor ⊚ swap⋆)) | |
| ⊕ (id↔ ⊗ (swap₊ ⊗ id↔))) | |
| ⊚ factor ⊚ assocl⋆ ⊚ (swap⋆ ⊗ id↔) ⊚ assocr⋆) | |
| ⊕ id↔) | |
| ⊚ | |
| (((id↔ ⊗ ((dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ (swap₊ ⊗ id↔))) | |
| ⊚ | |
| (assocl⋆ ⊚ | |
| ((swap⋆ ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ swap⋆) ⊗ id↔) ⊚ | |
| assocr⋆) | |
| ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₂ (inj₂ (- (tt , 𝔽 , 𝔽))) ⟧⟫ | |
| ∷ | |
| ⟪ ⇐ ∣ | |
| ((((id↔ ⊗ | |
| ((swap⋆ ⊕ swap⋆) ⊚ | |
| (id↔ ⊕ (swap₊ ⊗ id↔)) ⊚ (swap⋆ ⊕ swap⋆) ⊚ factor ⊚ swap⋆)) | |
| ⊕ (id↔ ⊗ (swap₊ ⊗ id↔))) | |
| ⊚ factor ⊚ assocl⋆ ⊚ (swap⋆ ⊗ id↔) ⊚ assocr⋆) | |
| ⊕ id↔) | |
| ⊚ | |
| (((id↔ ⊗ ((dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ (swap₊ ⊗ id↔))) | |
| ⊚ | |
| (assocl⋆ ⊚ | |
| ((swap⋆ ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ swap⋆) ⊗ id↔) ⊚ | |
| assocr⋆) | |
| ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₂ (inj₂ (- (tt , 𝔽 , 𝔽))) ⟧⟫ | |
| ∷ | |
| ⟪ ⇐ ∣ | |
| ((((id↔ ⊗ | |
| ((id↔ ⊚ (swap⋆ ⊕ swap⋆)) ⊚ | |
| (id↔ ⊕ (swap₊ ⊗ id↔)) ⊚ (swap⋆ ⊕ swap⋆) ⊚ factor ⊚ swap⋆)) | |
| ⊕ (id↔ ⊗ (swap₊ ⊗ id↔))) | |
| ⊚ factor ⊚ assocl⋆ ⊚ (swap⋆ ⊗ id↔) ⊚ assocr⋆) | |
| ⊕ id↔) | |
| ⊚ | |
| (((id↔ ⊗ ((dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ (swap₊ ⊗ id↔))) | |
| ⊚ | |
| (assocl⋆ ⊚ | |
| ((swap⋆ ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ swap⋆) ⊗ id↔) ⊚ | |
| assocr⋆) | |
| ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₂ (inj₂ (- (tt , 𝔽 , 𝔽))) ⟧⟫ | |
| ∷ | |
| ⟪ ⇐ ∣ | |
| ((((id↔ ⊗ | |
| ((dist ⊚ (swap⋆ ⊕ swap⋆)) ⊚ | |
| (id↔ ⊕ (swap₊ ⊗ id↔)) ⊚ (swap⋆ ⊕ swap⋆) ⊚ factor ⊚ swap⋆)) | |
| ⊕ (id↔ ⊗ (swap₊ ⊗ id↔))) | |
| ⊚ factor ⊚ assocl⋆ ⊚ (swap⋆ ⊗ id↔) ⊚ assocr⋆) | |
| ⊕ id↔) | |
| ⊚ | |
| (((id↔ ⊗ ((dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ (swap₊ ⊗ id↔))) | |
| ⊚ | |
| (assocl⋆ ⊚ | |
| ((swap⋆ ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ swap⋆) ⊗ id↔) ⊚ | |
| assocr⋆) | |
| ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₂ (inj₂ (- (tt , 𝔽 , 𝔽))) ⟧⟫ | |
| ∷ | |
| ⟪ ⇐ ∣ | |
| ((((id↔ ⊗ | |
| ((id↔ ⊚ dist ⊚ (swap⋆ ⊕ swap⋆)) ⊚ | |
| (id↔ ⊕ (swap₊ ⊗ id↔)) ⊚ (swap⋆ ⊕ swap⋆) ⊚ factor ⊚ swap⋆)) | |
| ⊕ (id↔ ⊗ (swap₊ ⊗ id↔))) | |
| ⊚ factor ⊚ assocl⋆ ⊚ (swap⋆ ⊗ id↔) ⊚ assocr⋆) | |
| ⊕ id↔) | |
| ⊚ | |
| (((id↔ ⊗ ((dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ (swap₊ ⊗ id↔))) | |
| ⊚ | |
| (assocl⋆ ⊚ | |
| ((swap⋆ ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ swap⋆) ⊗ id↔) ⊚ | |
| assocr⋆) | |
| ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₂ (inj₂ (- (tt , 𝔽 , 𝔽))) ⟧⟫ | |
| ∷ | |
| ⟪ ⇐ ∣ | |
| ((((id↔ ⊗ | |
| ((swap⋆ ⊚ dist ⊚ (swap⋆ ⊕ swap⋆)) ⊚ | |
| (id↔ ⊕ (swap₊ ⊗ id↔)) ⊚ (swap⋆ ⊕ swap⋆) ⊚ factor ⊚ swap⋆)) | |
| ⊕ (id↔ ⊗ (swap₊ ⊗ id↔))) | |
| ⊚ factor ⊚ assocl⋆ ⊚ (swap⋆ ⊗ id↔) ⊚ assocr⋆) | |
| ⊕ id↔) | |
| ⊚ | |
| (((id↔ ⊗ ((dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ (swap₊ ⊗ id↔))) | |
| ⊚ | |
| (assocl⋆ ⊚ | |
| ((swap⋆ ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ swap⋆) ⊗ id↔) ⊚ | |
| assocr⋆) | |
| ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₂ (inj₂ (- (tt , 𝔽 , 𝔽))) ⟧⟫ | |
| ∷ | |
| ⟪ ⇐ ∣ | |
| ((id↔ ⊚ | |
| ((id↔ ⊗ | |
| ((swap⋆ ⊚ dist ⊚ (swap⋆ ⊕ swap⋆)) ⊚ | |
| (id↔ ⊕ (swap₊ ⊗ id↔)) ⊚ (swap⋆ ⊕ swap⋆) ⊚ factor ⊚ swap⋆)) | |
| ⊕ (id↔ ⊗ (swap₊ ⊗ id↔))) | |
| ⊚ factor ⊚ assocl⋆ ⊚ (swap⋆ ⊗ id↔) ⊚ assocr⋆) | |
| ⊕ id↔) | |
| ⊚ | |
| (((id↔ ⊗ ((dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ (swap₊ ⊗ id↔))) | |
| ⊚ | |
| (assocl⋆ ⊚ | |
| ((swap⋆ ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ swap⋆) ⊗ id↔) ⊚ | |
| assocr⋆) | |
| ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₂ (inj₂ (- (tt , 𝔽 , 𝔽))) ⟧⟫ | |
| ∷ | |
| ⟪ ⇐ ∣ | |
| ((dist ⊚ | |
| ((id↔ ⊗ | |
| ((swap⋆ ⊚ dist ⊚ (swap⋆ ⊕ swap⋆)) ⊚ | |
| (id↔ ⊕ (swap₊ ⊗ id↔)) ⊚ (swap⋆ ⊕ swap⋆) ⊚ factor ⊚ swap⋆)) | |
| ⊕ (id↔ ⊗ (swap₊ ⊗ id↔))) | |
| ⊚ factor ⊚ assocl⋆ ⊚ (swap⋆ ⊗ id↔) ⊚ assocr⋆) | |
| ⊕ id↔) | |
| ⊚ | |
| (((id↔ ⊗ ((dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ (swap₊ ⊗ id↔))) | |
| ⊚ | |
| (assocl⋆ ⊚ | |
| ((swap⋆ ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ swap⋆) ⊗ id↔) ⊚ | |
| assocr⋆) | |
| ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₂ (inj₂ (- (tt , 𝔽 , 𝔽))) ⟧⟫ | |
| ∷ | |
| ⟪ ⇐ ∣ | |
| ((id↔ ⊚ | |
| dist ⊚ | |
| ((id↔ ⊗ | |
| ((swap⋆ ⊚ dist ⊚ (swap⋆ ⊕ swap⋆)) ⊚ | |
| (id↔ ⊕ (swap₊ ⊗ id↔)) ⊚ (swap⋆ ⊕ swap⋆) ⊚ factor ⊚ swap⋆)) | |
| ⊕ (id↔ ⊗ (swap₊ ⊗ id↔))) | |
| ⊚ factor ⊚ assocl⋆ ⊚ (swap⋆ ⊗ id↔) ⊚ assocr⋆) | |
| ⊕ id↔) | |
| ⊚ | |
| (((id↔ ⊗ ((dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ (swap₊ ⊗ id↔))) | |
| ⊚ | |
| (assocl⋆ ⊚ | |
| ((swap⋆ ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ swap⋆) ⊗ id↔) ⊚ | |
| assocr⋆) | |
| ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₂ (inj₂ (- (tt , 𝔽 , 𝔽))) ⟧⟫ | |
| ∷ | |
| ⟪ ⇐ ∣ | |
| ((assocr⋆ ⊚ | |
| dist ⊚ | |
| ((id↔ ⊗ | |
| ((swap⋆ ⊚ dist ⊚ (swap⋆ ⊕ swap⋆)) ⊚ | |
| (id↔ ⊕ (swap₊ ⊗ id↔)) ⊚ (swap⋆ ⊕ swap⋆) ⊚ factor ⊚ swap⋆)) | |
| ⊕ (id↔ ⊗ (swap₊ ⊗ id↔))) | |
| ⊚ factor ⊚ assocl⋆ ⊚ (swap⋆ ⊗ id↔) ⊚ assocr⋆) | |
| ⊕ id↔) | |
| ⊚ | |
| (((id↔ ⊗ ((dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ (swap₊ ⊗ id↔))) | |
| ⊚ | |
| (assocl⋆ ⊚ | |
| ((swap⋆ ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ swap⋆) ⊗ id↔) ⊚ | |
| assocr⋆) | |
| ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₂ (inj₂ (- (tt , 𝔽 , 𝔽))) ⟧⟫ | |
| ∷ | |
| ⟪ ⇐ ∣ | |
| ((id↔ ⊚ | |
| assocr⋆ ⊚ | |
| dist ⊚ | |
| ((id↔ ⊗ | |
| ((swap⋆ ⊚ dist ⊚ (swap⋆ ⊕ swap⋆)) ⊚ | |
| (id↔ ⊕ (swap₊ ⊗ id↔)) ⊚ (swap⋆ ⊕ swap⋆) ⊚ factor ⊚ swap⋆)) | |
| ⊕ (id↔ ⊗ (swap₊ ⊗ id↔))) | |
| ⊚ factor ⊚ assocl⋆ ⊚ (swap⋆ ⊗ id↔) ⊚ assocr⋆) | |
| ⊕ id↔) | |
| ⊚ | |
| (((id↔ ⊗ ((dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ (swap₊ ⊗ id↔))) | |
| ⊚ | |
| (assocl⋆ ⊚ | |
| ((swap⋆ ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ swap⋆) ⊗ id↔) ⊚ | |
| assocr⋆) | |
| ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₂ (inj₂ (- (tt , 𝔽 , 𝔽))) ⟧⟫ | |
| ∷ | |
| ⟪ ⇐ ∣ | |
| (((id↔ ⊗ id↔) ⊚ | |
| assocr⋆ ⊚ | |
| dist ⊚ | |
| ((id↔ ⊗ | |
| ((swap⋆ ⊚ dist ⊚ (swap⋆ ⊕ swap⋆)) ⊚ | |
| (id↔ ⊕ (swap₊ ⊗ id↔)) ⊚ (swap⋆ ⊕ swap⋆) ⊚ factor ⊚ swap⋆)) | |
| ⊕ (id↔ ⊗ (swap₊ ⊗ id↔))) | |
| ⊚ factor ⊚ assocl⋆ ⊚ (swap⋆ ⊗ id↔) ⊚ assocr⋆) | |
| ⊕ id↔) | |
| ⊚ | |
| (((id↔ ⊗ ((dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ (swap₊ ⊗ id↔))) | |
| ⊚ | |
| (assocl⋆ ⊚ | |
| ((swap⋆ ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ swap⋆) ⊗ id↔) ⊚ | |
| assocr⋆) | |
| ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₂ (inj₂ (- (tt , 𝔽 , 𝔽))) ⟧⟫ | |
| ∷ | |
| ⟪ ⇐ ∣ | |
| (((swap⋆ ⊗ id↔) ⊚ | |
| assocr⋆ ⊚ | |
| dist ⊚ | |
| ((id↔ ⊗ | |
| ((swap⋆ ⊚ dist ⊚ (swap⋆ ⊕ swap⋆)) ⊚ | |
| (id↔ ⊕ (swap₊ ⊗ id↔)) ⊚ (swap⋆ ⊕ swap⋆) ⊚ factor ⊚ swap⋆)) | |
| ⊕ (id↔ ⊗ (swap₊ ⊗ id↔))) | |
| ⊚ factor ⊚ assocl⋆ ⊚ (swap⋆ ⊗ id↔) ⊚ assocr⋆) | |
| ⊕ id↔) | |
| ⊚ | |
| (((id↔ ⊗ ((dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ (swap₊ ⊗ id↔))) | |
| ⊚ | |
| (assocl⋆ ⊚ | |
| ((swap⋆ ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ swap⋆) ⊗ id↔) ⊚ | |
| assocr⋆) | |
| ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₂ (inj₂ (- (tt , 𝔽 , 𝔽))) ⟧⟫ | |
| ∷ | |
| ⟪ ⇐ ∣ | |
| ((id↔ ⊚ | |
| (swap⋆ ⊗ id↔) ⊚ | |
| assocr⋆ ⊚ | |
| dist ⊚ | |
| ((id↔ ⊗ | |
| ((swap⋆ ⊚ dist ⊚ (swap⋆ ⊕ swap⋆)) ⊚ | |
| (id↔ ⊕ (swap₊ ⊗ id↔)) ⊚ (swap⋆ ⊕ swap⋆) ⊚ factor ⊚ swap⋆)) | |
| ⊕ (id↔ ⊗ (swap₊ ⊗ id↔))) | |
| ⊚ factor ⊚ assocl⋆ ⊚ (swap⋆ ⊗ id↔) ⊚ assocr⋆) | |
| ⊕ id↔) | |
| ⊚ | |
| (((id↔ ⊗ ((dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ (swap₊ ⊗ id↔))) | |
| ⊚ | |
| (assocl⋆ ⊚ | |
| ((swap⋆ ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ swap⋆) ⊗ id↔) ⊚ | |
| assocr⋆) | |
| ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₂ (inj₂ (- (tt , 𝔽 , 𝔽))) ⟧⟫ | |
| ∷ | |
| ⟪ ⇐ ∣ | |
| ((assocl⋆ ⊚ | |
| (swap⋆ ⊗ id↔) ⊚ | |
| assocr⋆ ⊚ | |
| dist ⊚ | |
| ((id↔ ⊗ | |
| ((swap⋆ ⊚ dist ⊚ (swap⋆ ⊕ swap⋆)) ⊚ | |
| (id↔ ⊕ (swap₊ ⊗ id↔)) ⊚ (swap⋆ ⊕ swap⋆) ⊚ factor ⊚ swap⋆)) | |
| ⊕ (id↔ ⊗ (swap₊ ⊗ id↔))) | |
| ⊚ factor ⊚ assocl⋆ ⊚ (swap⋆ ⊗ id↔) ⊚ assocr⋆) | |
| ⊕ id↔) | |
| ⊚ | |
| (((id↔ ⊗ ((dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ (swap₊ ⊗ id↔))) | |
| ⊚ | |
| (assocl⋆ ⊚ | |
| ((swap⋆ ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ swap⋆) ⊗ id↔) ⊚ | |
| assocr⋆) | |
| ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₂ (inj₂ (- (tt , 𝔽 , 𝔽))) ⟧⟫ | |
| ∷ | |
| ⟪ ⇐ ∣ | |
| id↔ ⊚ | |
| ((assocl⋆ ⊚ | |
| (swap⋆ ⊗ id↔) ⊚ | |
| assocr⋆ ⊚ | |
| dist ⊚ | |
| ((id↔ ⊗ | |
| ((swap⋆ ⊚ dist ⊚ (swap⋆ ⊕ swap⋆)) ⊚ | |
| (id↔ ⊕ (swap₊ ⊗ id↔)) ⊚ (swap⋆ ⊕ swap⋆) ⊚ factor ⊚ swap⋆)) | |
| ⊕ (id↔ ⊗ (swap₊ ⊗ id↔))) | |
| ⊚ factor ⊚ assocl⋆ ⊚ (swap⋆ ⊗ id↔) ⊚ assocr⋆) | |
| ⊕ id↔) | |
| ⊚ | |
| (((id↔ ⊗ ((dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ (swap₊ ⊗ id↔))) | |
| ⊚ | |
| (assocl⋆ ⊚ | |
| ((swap⋆ ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ swap⋆) ⊗ id↔) ⊚ | |
| assocr⋆) | |
| ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₂ (inj₂ (- (tt , 𝔽 , 𝔽))) ⟧⟫ | |
| ∷ | |
| ⟪ ⇐ ∣ | |
| (id↔ ⊕ id↔) ⊚ | |
| ((assocl⋆ ⊚ | |
| (swap⋆ ⊗ id↔) ⊚ | |
| assocr⋆ ⊚ | |
| dist ⊚ | |
| ((id↔ ⊗ | |
| ((swap⋆ ⊚ dist ⊚ (swap⋆ ⊕ swap⋆)) ⊚ | |
| (id↔ ⊕ (swap₊ ⊗ id↔)) ⊚ (swap⋆ ⊕ swap⋆) ⊚ factor ⊚ swap⋆)) | |
| ⊕ (id↔ ⊗ (swap₊ ⊗ id↔))) | |
| ⊚ factor ⊚ assocl⋆ ⊚ (swap⋆ ⊗ id↔) ⊚ assocr⋆) | |
| ⊕ id↔) | |
| ⊚ | |
| (((id↔ ⊗ ((dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ (swap₊ ⊗ id↔))) | |
| ⊚ | |
| (assocl⋆ ⊚ | |
| ((swap⋆ ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ swap⋆) ⊗ id↔) ⊚ | |
| assocr⋆) | |
| ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₂ (inj₂ (- (tt , 𝔽 , 𝔽))) ⟧⟫ | |
| ∷ | |
| ⟪ ⇐ ∣ | |
| (factor ⊕ id↔) ⊚ | |
| ((assocl⋆ ⊚ | |
| (swap⋆ ⊗ id↔) ⊚ | |
| assocr⋆ ⊚ | |
| dist ⊚ | |
| ((id↔ ⊗ | |
| ((swap⋆ ⊚ dist ⊚ (swap⋆ ⊕ swap⋆)) ⊚ | |
| (id↔ ⊕ (swap₊ ⊗ id↔)) ⊚ (swap⋆ ⊕ swap⋆) ⊚ factor ⊚ swap⋆)) | |
| ⊕ (id↔ ⊗ (swap₊ ⊗ id↔))) | |
| ⊚ factor ⊚ assocl⋆ ⊚ (swap⋆ ⊗ id↔) ⊚ assocr⋆) | |
| ⊕ id↔) | |
| ⊚ | |
| (((id↔ ⊗ ((dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ (swap₊ ⊗ id↔))) | |
| ⊚ | |
| (assocl⋆ ⊚ | |
| ((swap⋆ ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ swap⋆) ⊗ id↔) ⊚ | |
| assocr⋆) | |
| ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₂ (inj₂ (- (tt , 𝔽 , 𝔽))) ⟧⟫ | |
| ∷ | |
| ⟪ ⇐ ∣ | |
| id↔ ⊚ | |
| (factor ⊕ id↔) ⊚ | |
| ((assocl⋆ ⊚ | |
| (swap⋆ ⊗ id↔) ⊚ | |
| assocr⋆ ⊚ | |
| dist ⊚ | |
| ((id↔ ⊗ | |
| ((swap⋆ ⊚ dist ⊚ (swap⋆ ⊕ swap⋆)) ⊚ | |
| (id↔ ⊕ (swap₊ ⊗ id↔)) ⊚ (swap⋆ ⊕ swap⋆) ⊚ factor ⊚ swap⋆)) | |
| ⊕ (id↔ ⊗ (swap₊ ⊗ id↔))) | |
| ⊚ factor ⊚ assocl⋆ ⊚ (swap⋆ ⊗ id↔) ⊚ assocr⋆) | |
| ⊕ id↔) | |
| ⊚ | |
| (((id↔ ⊗ ((dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ (swap₊ ⊗ id↔))) | |
| ⊚ | |
| (assocl⋆ ⊚ | |
| ((swap⋆ ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ swap⋆) ⊗ id↔) ⊚ | |
| assocr⋆) | |
| ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₂ (inj₂ (- (tt , 𝔽 , 𝔽))) ⟧⟫ | |
| ∷ | |
| ⟪ ⇐ ∣ | |
| (id↔ ⊕ id↔) ⊚ | |
| (factor ⊕ id↔) ⊚ | |
| ((assocl⋆ ⊚ | |
| (swap⋆ ⊗ id↔) ⊚ | |
| assocr⋆ ⊚ | |
| dist ⊚ | |
| ((id↔ ⊗ | |
| ((swap⋆ ⊚ dist ⊚ (swap⋆ ⊕ swap⋆)) ⊚ | |
| (id↔ ⊕ (swap₊ ⊗ id↔)) ⊚ (swap⋆ ⊕ swap⋆) ⊚ factor ⊚ swap⋆)) | |
| ⊕ (id↔ ⊗ (swap₊ ⊗ id↔))) | |
| ⊚ factor ⊚ assocl⋆ ⊚ (swap⋆ ⊗ id↔) ⊚ assocr⋆) | |
| ⊕ id↔) | |
| ⊚ | |
| (((id↔ ⊗ ((dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ (swap₊ ⊗ id↔))) | |
| ⊚ | |
| (assocl⋆ ⊚ | |
| ((swap⋆ ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ swap⋆) ⊗ id↔) ⊚ | |
| assocr⋆) | |
| ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₂ (inj₂ (- (tt , 𝔽 , 𝔽))) ⟧⟫ | |
| ∷ | |
| ⟪ ⇐ ∣ | |
| ((id↔ ⊕ id↔) ⊕ id↔) ⊚ | |
| (factor ⊕ id↔) ⊚ | |
| ((assocl⋆ ⊚ | |
| (swap⋆ ⊗ id↔) ⊚ | |
| assocr⋆ ⊚ | |
| dist ⊚ | |
| ((id↔ ⊗ | |
| ((swap⋆ ⊚ dist ⊚ (swap⋆ ⊕ swap⋆)) ⊚ | |
| (id↔ ⊕ (swap₊ ⊗ id↔)) ⊚ (swap⋆ ⊕ swap⋆) ⊚ factor ⊚ swap⋆)) | |
| ⊕ (id↔ ⊗ (swap₊ ⊗ id↔))) | |
| ⊚ factor ⊚ assocl⋆ ⊚ (swap⋆ ⊗ id↔) ⊚ assocr⋆) | |
| ⊕ id↔) | |
| ⊚ | |
| (((id↔ ⊗ ((dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ (swap₊ ⊗ id↔))) | |
| ⊚ | |
| (assocl⋆ ⊚ | |
| ((swap⋆ ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ swap⋆) ⊗ id↔) ⊚ | |
| assocr⋆) | |
| ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₂ (inj₂ (- (tt , 𝔽 , 𝔽))) ⟧⟫ | |
| ∷ | |
| ⟪ ⇐ ∣ | |
| ((id↔ ⊕ (id↔ ⊗ id↔)) ⊕ id↔) ⊚ | |
| (factor ⊕ id↔) ⊚ | |
| ((assocl⋆ ⊚ | |
| (swap⋆ ⊗ id↔) ⊚ | |
| assocr⋆ ⊚ | |
| dist ⊚ | |
| ((id↔ ⊗ | |
| ((swap⋆ ⊚ dist ⊚ (swap⋆ ⊕ swap⋆)) ⊚ | |
| (id↔ ⊕ (swap₊ ⊗ id↔)) ⊚ (swap⋆ ⊕ swap⋆) ⊚ factor ⊚ swap⋆)) | |
| ⊕ (id↔ ⊗ (swap₊ ⊗ id↔))) | |
| ⊚ factor ⊚ assocl⋆ ⊚ (swap⋆ ⊗ id↔) ⊚ assocr⋆) | |
| ⊕ id↔) | |
| ⊚ | |
| (((id↔ ⊗ ((dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ (swap₊ ⊗ id↔))) | |
| ⊚ | |
| (assocl⋆ ⊚ | |
| ((swap⋆ ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ swap⋆) ⊗ id↔) ⊚ | |
| assocr⋆) | |
| ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₂ (inj₂ (- (tt , 𝔽 , 𝔽))) ⟧⟫ | |
| ∷ | |
| ⟪ ⇐ ∣ | |
| ((id↔ ⊕ (id↔ ⊗ swap⋆)) ⊕ id↔) ⊚ | |
| (factor ⊕ id↔) ⊚ | |
| ((assocl⋆ ⊚ | |
| (swap⋆ ⊗ id↔) ⊚ | |
| assocr⋆ ⊚ | |
| dist ⊚ | |
| ((id↔ ⊗ | |
| ((swap⋆ ⊚ dist ⊚ (swap⋆ ⊕ swap⋆)) ⊚ | |
| (id↔ ⊕ (swap₊ ⊗ id↔)) ⊚ (swap⋆ ⊕ swap⋆) ⊚ factor ⊚ swap⋆)) | |
| ⊕ (id↔ ⊗ (swap₊ ⊗ id↔))) | |
| ⊚ factor ⊚ assocl⋆ ⊚ (swap⋆ ⊗ id↔) ⊚ assocr⋆) | |
| ⊕ id↔) | |
| ⊚ | |
| (((id↔ ⊗ ((dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ (swap₊ ⊗ id↔))) | |
| ⊚ | |
| (assocl⋆ ⊚ | |
| ((swap⋆ ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ swap⋆) ⊗ id↔) ⊚ | |
| assocr⋆) | |
| ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₂ (inj₂ (- (tt , 𝔽 , 𝔽))) ⟧⟫ | |
| ∷ | |
| ⟪ ⇐ ∣ | |
| ((id↔ ⊕ (id↔ ⊗ (id↔ ⊚ swap⋆))) ⊕ id↔) ⊚ | |
| (factor ⊕ id↔) ⊚ | |
| ((assocl⋆ ⊚ | |
| (swap⋆ ⊗ id↔) ⊚ | |
| assocr⋆ ⊚ | |
| dist ⊚ | |
| ((id↔ ⊗ | |
| ((swap⋆ ⊚ dist ⊚ (swap⋆ ⊕ swap⋆)) ⊚ | |
| (id↔ ⊕ (swap₊ ⊗ id↔)) ⊚ (swap⋆ ⊕ swap⋆) ⊚ factor ⊚ swap⋆)) | |
| ⊕ (id↔ ⊗ (swap₊ ⊗ id↔))) | |
| ⊚ factor ⊚ assocl⋆ ⊚ (swap⋆ ⊗ id↔) ⊚ assocr⋆) | |
| ⊕ id↔) | |
| ⊚ | |
| (((id↔ ⊗ ((dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ (swap₊ ⊗ id↔))) | |
| ⊚ | |
| (assocl⋆ ⊚ | |
| ((swap⋆ ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ swap⋆) ⊗ id↔) ⊚ | |
| assocr⋆) | |
| ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₂ (inj₂ (- (tt , 𝔽 , 𝔽))) ⟧⟫ | |
| ∷ | |
| ⟪ ⇐ ∣ | |
| ((id↔ ⊕ (id↔ ⊗ (factor ⊚ swap⋆))) ⊕ id↔) ⊚ | |
| (factor ⊕ id↔) ⊚ | |
| ((assocl⋆ ⊚ | |
| (swap⋆ ⊗ id↔) ⊚ | |
| assocr⋆ ⊚ | |
| dist ⊚ | |
| ((id↔ ⊗ | |
| ((swap⋆ ⊚ dist ⊚ (swap⋆ ⊕ swap⋆)) ⊚ | |
| (id↔ ⊕ (swap₊ ⊗ id↔)) ⊚ (swap⋆ ⊕ swap⋆) ⊚ factor ⊚ swap⋆)) | |
| ⊕ (id↔ ⊗ (swap₊ ⊗ id↔))) | |
| ⊚ factor ⊚ assocl⋆ ⊚ (swap⋆ ⊗ id↔) ⊚ assocr⋆) | |
| ⊕ id↔) | |
| ⊚ | |
| (((id↔ ⊗ ((dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ (swap₊ ⊗ id↔))) | |
| ⊚ | |
| (assocl⋆ ⊚ | |
| ((swap⋆ ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ swap⋆) ⊗ id↔) ⊚ | |
| assocr⋆) | |
| ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₂ (inj₂ (- (tt , 𝔽 , 𝔽))) ⟧⟫ | |
| ∷ | |
| ⟪ ⇐ ∣ | |
| ((id↔ ⊕ (id↔ ⊗ (id↔ ⊚ factor ⊚ swap⋆))) ⊕ id↔) ⊚ | |
| (factor ⊕ id↔) ⊚ | |
| ((assocl⋆ ⊚ | |
| (swap⋆ ⊗ id↔) ⊚ | |
| assocr⋆ ⊚ | |
| dist ⊚ | |
| ((id↔ ⊗ | |
| ((swap⋆ ⊚ dist ⊚ (swap⋆ ⊕ swap⋆)) ⊚ | |
| (id↔ ⊕ (swap₊ ⊗ id↔)) ⊚ (swap⋆ ⊕ swap⋆) ⊚ factor ⊚ swap⋆)) | |
| ⊕ (id↔ ⊗ (swap₊ ⊗ id↔))) | |
| ⊚ factor ⊚ assocl⋆ ⊚ (swap⋆ ⊗ id↔) ⊚ assocr⋆) | |
| ⊕ id↔) | |
| ⊚ | |
| (((id↔ ⊗ ((dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ (swap₊ ⊗ id↔))) | |
| ⊚ | |
| (assocl⋆ ⊚ | |
| ((swap⋆ ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ swap⋆) ⊗ id↔) ⊚ | |
| assocr⋆) | |
| ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₂ (inj₂ (- (tt , 𝔽 , 𝔽))) ⟧⟫ | |
| ∷ | |
| ⟪ ⇐ ∣ | |
| ((id↔ ⊕ (id↔ ⊗ ((id↔ ⊕ id↔) ⊚ factor ⊚ swap⋆))) ⊕ id↔) ⊚ | |
| (factor ⊕ id↔) ⊚ | |
| ((assocl⋆ ⊚ | |
| (swap⋆ ⊗ id↔) ⊚ | |
| assocr⋆ ⊚ | |
| dist ⊚ | |
| ((id↔ ⊗ | |
| ((swap⋆ ⊚ dist ⊚ (swap⋆ ⊕ swap⋆)) ⊚ | |
| (id↔ ⊕ (swap₊ ⊗ id↔)) ⊚ (swap⋆ ⊕ swap⋆) ⊚ factor ⊚ swap⋆)) | |
| ⊕ (id↔ ⊗ (swap₊ ⊗ id↔))) | |
| ⊚ factor ⊚ assocl⋆ ⊚ (swap⋆ ⊗ id↔) ⊚ assocr⋆) | |
| ⊕ id↔) | |
| ⊚ | |
| (((id↔ ⊗ ((dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ (swap₊ ⊗ id↔))) | |
| ⊚ | |
| (assocl⋆ ⊚ | |
| ((swap⋆ ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ swap⋆) ⊗ id↔) ⊚ | |
| assocr⋆) | |
| ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₂ (inj₂ (- (tt , 𝔽 , 𝔽))) ⟧⟫ | |
| ∷ | |
| ⟪ ⇐ ∣ | |
| ((id↔ ⊕ (id↔ ⊗ ((id↔ ⊕ swap⋆) ⊚ factor ⊚ swap⋆))) ⊕ id↔) ⊚ | |
| (factor ⊕ id↔) ⊚ | |
| ((assocl⋆ ⊚ | |
| (swap⋆ ⊗ id↔) ⊚ | |
| assocr⋆ ⊚ | |
| dist ⊚ | |
| ((id↔ ⊗ | |
| ((swap⋆ ⊚ dist ⊚ (swap⋆ ⊕ swap⋆)) ⊚ | |
| (id↔ ⊕ (swap₊ ⊗ id↔)) ⊚ (swap⋆ ⊕ swap⋆) ⊚ factor ⊚ swap⋆)) | |
| ⊕ (id↔ ⊗ (swap₊ ⊗ id↔))) | |
| ⊚ factor ⊚ assocl⋆ ⊚ (swap⋆ ⊗ id↔) ⊚ assocr⋆) | |
| ⊕ id↔) | |
| ⊚ | |
| (((id↔ ⊗ ((dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ (swap₊ ⊗ id↔))) | |
| ⊚ | |
| (assocl⋆ ⊚ | |
| ((swap⋆ ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ swap⋆) ⊗ id↔) ⊚ | |
| assocr⋆) | |
| ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₂ (inj₂ (- (tt , 𝔽 , 𝔽))) ⟧⟫ | |
| ∷ | |
| ⟪ ⇐ ∣ | |
| ((id↔ ⊕ (id↔ ⊗ ((swap⋆ ⊕ swap⋆) ⊚ factor ⊚ swap⋆))) ⊕ id↔) ⊚ | |
| (factor ⊕ id↔) ⊚ | |
| ((assocl⋆ ⊚ | |
| (swap⋆ ⊗ id↔) ⊚ | |
| assocr⋆ ⊚ | |
| dist ⊚ | |
| ((id↔ ⊗ | |
| ((swap⋆ ⊚ dist ⊚ (swap⋆ ⊕ swap⋆)) ⊚ | |
| (id↔ ⊕ (swap₊ ⊗ id↔)) ⊚ (swap⋆ ⊕ swap⋆) ⊚ factor ⊚ swap⋆)) | |
| ⊕ (id↔ ⊗ (swap₊ ⊗ id↔))) | |
| ⊚ factor ⊚ assocl⋆ ⊚ (swap⋆ ⊗ id↔) ⊚ assocr⋆) | |
| ⊕ id↔) | |
| ⊚ | |
| (((id↔ ⊗ ((dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ (swap₊ ⊗ id↔))) | |
| ⊚ | |
| (assocl⋆ ⊚ | |
| ((swap⋆ ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ swap⋆) ⊗ id↔) ⊚ | |
| assocr⋆) | |
| ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₂ (inj₂ (- (tt , 𝔽 , 𝔽))) ⟧⟫ | |
| ∷ | |
| ⟪ ⇐ ∣ | |
| ((id↔ ⊕ (id↔ ⊗ (id↔ ⊚ (swap⋆ ⊕ swap⋆) ⊚ factor ⊚ swap⋆))) ⊕ id↔) ⊚ | |
| (factor ⊕ id↔) ⊚ | |
| ((assocl⋆ ⊚ | |
| (swap⋆ ⊗ id↔) ⊚ | |
| assocr⋆ ⊚ | |
| dist ⊚ | |
| ((id↔ ⊗ | |
| ((swap⋆ ⊚ dist ⊚ (swap⋆ ⊕ swap⋆)) ⊚ | |
| (id↔ ⊕ (swap₊ ⊗ id↔)) ⊚ (swap⋆ ⊕ swap⋆) ⊚ factor ⊚ swap⋆)) | |
| ⊕ (id↔ ⊗ (swap₊ ⊗ id↔))) | |
| ⊚ factor ⊚ assocl⋆ ⊚ (swap⋆ ⊗ id↔) ⊚ assocr⋆) | |
| ⊕ id↔) | |
| ⊚ | |
| (((id↔ ⊗ ((dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ (swap₊ ⊗ id↔))) | |
| ⊚ | |
| (assocl⋆ ⊚ | |
| ((swap⋆ ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ swap⋆) ⊗ id↔) ⊚ | |
| assocr⋆) | |
| ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₂ (inj₂ (- (tt , 𝔽 , 𝔽))) ⟧⟫ | |
| ∷ | |
| ⟪ ⇐ ∣ | |
| ((id↔ ⊕ (id↔ ⊗ ((id↔ ⊕ id↔) ⊚ (swap⋆ ⊕ swap⋆) ⊚ factor ⊚ swap⋆))) ⊕ | |
| id↔) | |
| ⊚ | |
| (factor ⊕ id↔) ⊚ | |
| ((assocl⋆ ⊚ | |
| (swap⋆ ⊗ id↔) ⊚ | |
| assocr⋆ ⊚ | |
| dist ⊚ | |
| ((id↔ ⊗ | |
| ((swap⋆ ⊚ dist ⊚ (swap⋆ ⊕ swap⋆)) ⊚ | |
| (id↔ ⊕ (swap₊ ⊗ id↔)) ⊚ (swap⋆ ⊕ swap⋆) ⊚ factor ⊚ swap⋆)) | |
| ⊕ (id↔ ⊗ (swap₊ ⊗ id↔))) | |
| ⊚ factor ⊚ assocl⋆ ⊚ (swap⋆ ⊗ id↔) ⊚ assocr⋆) | |
| ⊕ id↔) | |
| ⊚ | |
| (((id↔ ⊗ ((dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ (swap₊ ⊗ id↔))) | |
| ⊚ | |
| (assocl⋆ ⊚ | |
| ((swap⋆ ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ swap⋆) ⊗ id↔) ⊚ | |
| assocr⋆) | |
| ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₂ (inj₂ (- (tt , 𝔽 , 𝔽))) ⟧⟫ | |
| ∷ | |
| ⟪ ⇐ ∣ | |
| ((id↔ ⊕ | |
| (id↔ ⊗ (((id↔ ⊗ id↔) ⊕ id↔) ⊚ (swap⋆ ⊕ swap⋆) ⊚ factor ⊚ swap⋆))) | |
| ⊕ id↔) | |
| ⊚ | |
| (factor ⊕ id↔) ⊚ | |
| ((assocl⋆ ⊚ | |
| (swap⋆ ⊗ id↔) ⊚ | |
| assocr⋆ ⊚ | |
| dist ⊚ | |
| ((id↔ ⊗ | |
| ((swap⋆ ⊚ dist ⊚ (swap⋆ ⊕ swap⋆)) ⊚ | |
| (id↔ ⊕ (swap₊ ⊗ id↔)) ⊚ (swap⋆ ⊕ swap⋆) ⊚ factor ⊚ swap⋆)) | |
| ⊕ (id↔ ⊗ (swap₊ ⊗ id↔))) | |
| ⊚ factor ⊚ assocl⋆ ⊚ (swap⋆ ⊗ id↔) ⊚ assocr⋆) | |
| ⊕ id↔) | |
| ⊚ | |
| (((id↔ ⊗ ((dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ (swap₊ ⊗ id↔))) | |
| ⊚ | |
| (assocl⋆ ⊚ | |
| ((swap⋆ ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ swap⋆) ⊗ id↔) ⊚ | |
| assocr⋆) | |
| ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₂ (inj₂ (- (tt , 𝔽 , 𝔽))) ⟧⟫ | |
| ∷ | |
| ⟪ ⇐ ∣ | |
| ((id↔ ⊕ | |
| (id↔ ⊗ (((swap₊ ⊗ id↔) ⊕ id↔) ⊚ (swap⋆ ⊕ swap⋆) ⊚ factor ⊚ swap⋆))) | |
| ⊕ id↔) | |
| ⊚ | |
| (factor ⊕ id↔) ⊚ | |
| ((assocl⋆ ⊚ | |
| (swap⋆ ⊗ id↔) ⊚ | |
| assocr⋆ ⊚ | |
| dist ⊚ | |
| ((id↔ ⊗ | |
| ((swap⋆ ⊚ dist ⊚ (swap⋆ ⊕ swap⋆)) ⊚ | |
| (id↔ ⊕ (swap₊ ⊗ id↔)) ⊚ (swap⋆ ⊕ swap⋆) ⊚ factor ⊚ swap⋆)) | |
| ⊕ (id↔ ⊗ (swap₊ ⊗ id↔))) | |
| ⊚ factor ⊚ assocl⋆ ⊚ (swap⋆ ⊗ id↔) ⊚ assocr⋆) | |
| ⊕ id↔) | |
| ⊚ | |
| (((id↔ ⊗ ((dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ (swap₊ ⊗ id↔))) | |
| ⊚ | |
| (assocl⋆ ⊚ | |
| ((swap⋆ ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ swap⋆) ⊗ id↔) ⊚ | |
| assocr⋆) | |
| ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₂ (inj₂ (- (tt , 𝔽 , 𝔽))) ⟧⟫ | |
| ∷ | |
| ⟪ ⇐ ∣ | |
| ((id↔ ⊕ | |
| (id↔ ⊗ | |
| (id↔ ⊚ ((swap₊ ⊗ id↔) ⊕ id↔) ⊚ (swap⋆ ⊕ swap⋆) ⊚ factor ⊚ swap⋆))) | |
| ⊕ id↔) | |
| ⊚ | |
| (factor ⊕ id↔) ⊚ | |
| ((assocl⋆ ⊚ | |
| (swap⋆ ⊗ id↔) ⊚ | |
| assocr⋆ ⊚ | |
| dist ⊚ | |
| ((id↔ ⊗ | |
| ((swap⋆ ⊚ dist ⊚ (swap⋆ ⊕ swap⋆)) ⊚ | |
| (id↔ ⊕ (swap₊ ⊗ id↔)) ⊚ (swap⋆ ⊕ swap⋆) ⊚ factor ⊚ swap⋆)) | |
| ⊕ (id↔ ⊗ (swap₊ ⊗ id↔))) | |
| ⊚ factor ⊚ assocl⋆ ⊚ (swap⋆ ⊗ id↔) ⊚ assocr⋆) | |
| ⊕ id↔) | |
| ⊚ | |
| (((id↔ ⊗ ((dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ (swap₊ ⊗ id↔))) | |
| ⊚ | |
| (assocl⋆ ⊚ | |
| ((swap⋆ ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ swap⋆) ⊗ id↔) ⊚ | |
| assocr⋆) | |
| ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₂ (inj₂ (- (tt , 𝔽 , 𝔽))) ⟧⟫ | |
| ∷ | |
| ⟪ ⇐ ∣ | |
| ((id↔ ⊕ | |
| (id↔ ⊗ | |
| ((id↔ ⊕ id↔) ⊚ | |
| ((swap₊ ⊗ id↔) ⊕ id↔) ⊚ (swap⋆ ⊕ swap⋆) ⊚ factor ⊚ swap⋆))) | |
| ⊕ id↔) | |
| ⊚ | |
| (factor ⊕ id↔) ⊚ | |
| ((assocl⋆ ⊚ | |
| (swap⋆ ⊗ id↔) ⊚ | |
| assocr⋆ ⊚ | |
| dist ⊚ | |
| ((id↔ ⊗ | |
| ((swap⋆ ⊚ dist ⊚ (swap⋆ ⊕ swap⋆)) ⊚ | |
| (id↔ ⊕ (swap₊ ⊗ id↔)) ⊚ (swap⋆ ⊕ swap⋆) ⊚ factor ⊚ swap⋆)) | |
| ⊕ (id↔ ⊗ (swap₊ ⊗ id↔))) | |
| ⊚ factor ⊚ assocl⋆ ⊚ (swap⋆ ⊗ id↔) ⊚ assocr⋆) | |
| ⊕ id↔) | |
| ⊚ | |
| (((id↔ ⊗ ((dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ (swap₊ ⊗ id↔))) | |
| ⊚ | |
| (assocl⋆ ⊚ | |
| ((swap⋆ ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ swap⋆) ⊗ id↔) ⊚ | |
| assocr⋆) | |
| ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₂ (inj₂ (- (tt , 𝔽 , 𝔽))) ⟧⟫ | |
| ∷ | |
| ⟪ ⇐ ∣ | |
| ((id↔ ⊕ | |
| (id↔ ⊗ | |
| ((id↔ ⊕ swap⋆) ⊚ | |
| ((swap₊ ⊗ id↔) ⊕ id↔) ⊚ (swap⋆ ⊕ swap⋆) ⊚ factor ⊚ swap⋆))) | |
| ⊕ id↔) | |
| ⊚ | |
| (factor ⊕ id↔) ⊚ | |
| ((assocl⋆ ⊚ | |
| (swap⋆ ⊗ id↔) ⊚ | |
| assocr⋆ ⊚ | |
| dist ⊚ | |
| ((id↔ ⊗ | |
| ((swap⋆ ⊚ dist ⊚ (swap⋆ ⊕ swap⋆)) ⊚ | |
| (id↔ ⊕ (swap₊ ⊗ id↔)) ⊚ (swap⋆ ⊕ swap⋆) ⊚ factor ⊚ swap⋆)) | |
| ⊕ (id↔ ⊗ (swap₊ ⊗ id↔))) | |
| ⊚ factor ⊚ assocl⋆ ⊚ (swap⋆ ⊗ id↔) ⊚ assocr⋆) | |
| ⊕ id↔) | |
| ⊚ | |
| (((id↔ ⊗ ((dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ (swap₊ ⊗ id↔))) | |
| ⊚ | |
| (assocl⋆ ⊚ | |
| ((swap⋆ ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ swap⋆) ⊗ id↔) ⊚ | |
| assocr⋆) | |
| ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₂ (inj₂ (- (tt , 𝔽 , 𝔽))) ⟧⟫ | |
| ∷ | |
| ⟪ ⇐ ∣ | |
| ((id↔ ⊕ | |
| (id↔ ⊗ | |
| ((swap⋆ ⊕ swap⋆) ⊚ | |
| ((swap₊ ⊗ id↔) ⊕ id↔) ⊚ (swap⋆ ⊕ swap⋆) ⊚ factor ⊚ swap⋆))) | |
| ⊕ id↔) | |
| ⊚ | |
| (factor ⊕ id↔) ⊚ | |
| ((assocl⋆ ⊚ | |
| (swap⋆ ⊗ id↔) ⊚ | |
| assocr⋆ ⊚ | |
| dist ⊚ | |
| ((id↔ ⊗ | |
| ((swap⋆ ⊚ dist ⊚ (swap⋆ ⊕ swap⋆)) ⊚ | |
| (id↔ ⊕ (swap₊ ⊗ id↔)) ⊚ (swap⋆ ⊕ swap⋆) ⊚ factor ⊚ swap⋆)) | |
| ⊕ (id↔ ⊗ (swap₊ ⊗ id↔))) | |
| ⊚ factor ⊚ assocl⋆ ⊚ (swap⋆ ⊗ id↔) ⊚ assocr⋆) | |
| ⊕ id↔) | |
| ⊚ | |
| (((id↔ ⊗ ((dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ (swap₊ ⊗ id↔))) | |
| ⊚ | |
| (assocl⋆ ⊚ | |
| ((swap⋆ ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ swap⋆) ⊗ id↔) ⊚ | |
| assocr⋆) | |
| ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₂ (inj₂ (- (tt , 𝔽 , 𝔽))) ⟧⟫ | |
| ∷ | |
| ⟪ ⇐ ∣ | |
| ((id↔ ⊕ | |
| (id↔ ⊗ | |
| ((id↔ ⊚ (swap⋆ ⊕ swap⋆)) ⊚ | |
| ((swap₊ ⊗ id↔) ⊕ id↔) ⊚ (swap⋆ ⊕ swap⋆) ⊚ factor ⊚ swap⋆))) | |
| ⊕ id↔) | |
| ⊚ | |
| (factor ⊕ id↔) ⊚ | |
| ((assocl⋆ ⊚ | |
| (swap⋆ ⊗ id↔) ⊚ | |
| assocr⋆ ⊚ | |
| dist ⊚ | |
| ((id↔ ⊗ | |
| ((swap⋆ ⊚ dist ⊚ (swap⋆ ⊕ swap⋆)) ⊚ | |
| (id↔ ⊕ (swap₊ ⊗ id↔)) ⊚ (swap⋆ ⊕ swap⋆) ⊚ factor ⊚ swap⋆)) | |
| ⊕ (id↔ ⊗ (swap₊ ⊗ id↔))) | |
| ⊚ factor ⊚ assocl⋆ ⊚ (swap⋆ ⊗ id↔) ⊚ assocr⋆) | |
| ⊕ id↔) | |
| ⊚ | |
| (((id↔ ⊗ ((dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ (swap₊ ⊗ id↔))) | |
| ⊚ | |
| (assocl⋆ ⊚ | |
| ((swap⋆ ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ swap⋆) ⊗ id↔) ⊚ | |
| assocr⋆) | |
| ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₂ (inj₂ (- (tt , 𝔽 , 𝔽))) ⟧⟫ | |
| ∷ | |
| ⟪ ⇐ ∣ | |
| ((id↔ ⊕ | |
| (id↔ ⊗ | |
| ((dist ⊚ (swap⋆ ⊕ swap⋆)) ⊚ | |
| ((swap₊ ⊗ id↔) ⊕ id↔) ⊚ (swap⋆ ⊕ swap⋆) ⊚ factor ⊚ swap⋆))) | |
| ⊕ id↔) | |
| ⊚ | |
| (factor ⊕ id↔) ⊚ | |
| ((assocl⋆ ⊚ | |
| (swap⋆ ⊗ id↔) ⊚ | |
| assocr⋆ ⊚ | |
| dist ⊚ | |
| ((id↔ ⊗ | |
| ((swap⋆ ⊚ dist ⊚ (swap⋆ ⊕ swap⋆)) ⊚ | |
| (id↔ ⊕ (swap₊ ⊗ id↔)) ⊚ (swap⋆ ⊕ swap⋆) ⊚ factor ⊚ swap⋆)) | |
| ⊕ (id↔ ⊗ (swap₊ ⊗ id↔))) | |
| ⊚ factor ⊚ assocl⋆ ⊚ (swap⋆ ⊗ id↔) ⊚ assocr⋆) | |
| ⊕ id↔) | |
| ⊚ | |
| (((id↔ ⊗ ((dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ (swap₊ ⊗ id↔))) | |
| ⊚ | |
| (assocl⋆ ⊚ | |
| ((swap⋆ ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ swap⋆) ⊗ id↔) ⊚ | |
| assocr⋆) | |
| ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₂ (inj₂ (- (tt , 𝔽 , 𝔽))) ⟧⟫ | |
| ∷ | |
| ⟪ ⇐ ∣ | |
| ((id↔ ⊕ | |
| (id↔ ⊗ | |
| ((id↔ ⊚ dist ⊚ (swap⋆ ⊕ swap⋆)) ⊚ | |
| ((swap₊ ⊗ id↔) ⊕ id↔) ⊚ (swap⋆ ⊕ swap⋆) ⊚ factor ⊚ swap⋆))) | |
| ⊕ id↔) | |
| ⊚ | |
| (factor ⊕ id↔) ⊚ | |
| ((assocl⋆ ⊚ | |
| (swap⋆ ⊗ id↔) ⊚ | |
| assocr⋆ ⊚ | |
| dist ⊚ | |
| ((id↔ ⊗ | |
| ((swap⋆ ⊚ dist ⊚ (swap⋆ ⊕ swap⋆)) ⊚ | |
| (id↔ ⊕ (swap₊ ⊗ id↔)) ⊚ (swap⋆ ⊕ swap⋆) ⊚ factor ⊚ swap⋆)) | |
| ⊕ (id↔ ⊗ (swap₊ ⊗ id↔))) | |
| ⊚ factor ⊚ assocl⋆ ⊚ (swap⋆ ⊗ id↔) ⊚ assocr⋆) | |
| ⊕ id↔) | |
| ⊚ | |
| (((id↔ ⊗ ((dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ (swap₊ ⊗ id↔))) | |
| ⊚ | |
| (assocl⋆ ⊚ | |
| ((swap⋆ ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ swap⋆) ⊗ id↔) ⊚ | |
| assocr⋆) | |
| ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₂ (inj₂ (- (tt , 𝔽 , 𝔽))) ⟧⟫ | |
| ∷ | |
| ⟪ ⇐ ∣ | |
| ((id↔ ⊕ | |
| (id↔ ⊗ | |
| ((swap⋆ ⊚ dist ⊚ (swap⋆ ⊕ swap⋆)) ⊚ | |
| ((swap₊ ⊗ id↔) ⊕ id↔) ⊚ (swap⋆ ⊕ swap⋆) ⊚ factor ⊚ swap⋆))) | |
| ⊕ id↔) | |
| ⊚ | |
| (factor ⊕ id↔) ⊚ | |
| ((assocl⋆ ⊚ | |
| (swap⋆ ⊗ id↔) ⊚ | |
| assocr⋆ ⊚ | |
| dist ⊚ | |
| ((id↔ ⊗ | |
| ((swap⋆ ⊚ dist ⊚ (swap⋆ ⊕ swap⋆)) ⊚ | |
| (id↔ ⊕ (swap₊ ⊗ id↔)) ⊚ (swap⋆ ⊕ swap⋆) ⊚ factor ⊚ swap⋆)) | |
| ⊕ (id↔ ⊗ (swap₊ ⊗ id↔))) | |
| ⊚ factor ⊚ assocl⋆ ⊚ (swap⋆ ⊗ id↔) ⊚ assocr⋆) | |
| ⊕ id↔) | |
| ⊚ | |
| (((id↔ ⊗ ((dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ (swap₊ ⊗ id↔))) | |
| ⊚ | |
| (assocl⋆ ⊚ | |
| ((swap⋆ ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ swap⋆) ⊗ id↔) ⊚ | |
| assocr⋆) | |
| ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₂ (inj₂ (- (tt , 𝔽 , 𝔽))) ⟧⟫ | |
| ∷ | |
| ⟪ ⇐ ∣ | |
| ((id↔ ⊕ | |
| (id↔ ⊗ | |
| (id↔ ⊚ | |
| (swap⋆ ⊚ dist ⊚ (swap⋆ ⊕ swap⋆)) ⊚ | |
| ((swap₊ ⊗ id↔) ⊕ id↔) ⊚ (swap⋆ ⊕ swap⋆) ⊚ factor ⊚ swap⋆))) | |
| ⊕ id↔) | |
| ⊚ | |
| (factor ⊕ id↔) ⊚ | |
| ((assocl⋆ ⊚ | |
| (swap⋆ ⊗ id↔) ⊚ | |
| assocr⋆ ⊚ | |
| dist ⊚ | |
| ((id↔ ⊗ | |
| ((swap⋆ ⊚ dist ⊚ (swap⋆ ⊕ swap⋆)) ⊚ | |
| (id↔ ⊕ (swap₊ ⊗ id↔)) ⊚ (swap⋆ ⊕ swap⋆) ⊚ factor ⊚ swap⋆)) | |
| ⊕ (id↔ ⊗ (swap₊ ⊗ id↔))) | |
| ⊚ factor ⊚ assocl⋆ ⊚ (swap⋆ ⊗ id↔) ⊚ assocr⋆) | |
| ⊕ id↔) | |
| ⊚ | |
| (((id↔ ⊗ ((dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ (swap₊ ⊗ id↔))) | |
| ⊚ | |
| (assocl⋆ ⊚ | |
| ((swap⋆ ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ swap⋆) ⊗ id↔) ⊚ | |
| assocr⋆) | |
| ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₂ (inj₂ (- (tt , 𝔽 , 𝔽))) ⟧⟫ | |
| ∷ | |
| ⟪ ⇐ ∣ | |
| ((id↔ ⊕ | |
| (id↔ ⊗ | |
| ((id↔ ⊗ id↔) ⊚ | |
| (swap⋆ ⊚ dist ⊚ (swap⋆ ⊕ swap⋆)) ⊚ | |
| ((swap₊ ⊗ id↔) ⊕ id↔) ⊚ (swap⋆ ⊕ swap⋆) ⊚ factor ⊚ swap⋆))) | |
| ⊕ id↔) | |
| ⊚ | |
| (factor ⊕ id↔) ⊚ | |
| ((assocl⋆ ⊚ | |
| (swap⋆ ⊗ id↔) ⊚ | |
| assocr⋆ ⊚ | |
| dist ⊚ | |
| ((id↔ ⊗ | |
| ((swap⋆ ⊚ dist ⊚ (swap⋆ ⊕ swap⋆)) ⊚ | |
| (id↔ ⊕ (swap₊ ⊗ id↔)) ⊚ (swap⋆ ⊕ swap⋆) ⊚ factor ⊚ swap⋆)) | |
| ⊕ (id↔ ⊗ (swap₊ ⊗ id↔))) | |
| ⊚ factor ⊚ assocl⋆ ⊚ (swap⋆ ⊗ id↔) ⊚ assocr⋆) | |
| ⊕ id↔) | |
| ⊚ | |
| (((id↔ ⊗ ((dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ (swap₊ ⊗ id↔))) | |
| ⊚ | |
| (assocl⋆ ⊚ | |
| ((swap⋆ ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ swap⋆) ⊗ id↔) ⊚ | |
| assocr⋆) | |
| ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₂ (inj₂ (- (tt , 𝔽 , 𝔽))) ⟧⟫ | |
| ∷ | |
| ⟪ ⇐ ∣ | |
| ((id↔ ⊕ | |
| (id↔ ⊗ | |
| ((id↔ ⊗ swap₊) ⊚ | |
| (swap⋆ ⊚ dist ⊚ (swap⋆ ⊕ swap⋆)) ⊚ | |
| ((swap₊ ⊗ id↔) ⊕ id↔) ⊚ (swap⋆ ⊕ swap⋆) ⊚ factor ⊚ swap⋆))) | |
| ⊕ id↔) | |
| ⊚ | |
| (factor ⊕ id↔) ⊚ | |
| ((assocl⋆ ⊚ | |
| (swap⋆ ⊗ id↔) ⊚ | |
| assocr⋆ ⊚ | |
| dist ⊚ | |
| ((id↔ ⊗ | |
| ((swap⋆ ⊚ dist ⊚ (swap⋆ ⊕ swap⋆)) ⊚ | |
| (id↔ ⊕ (swap₊ ⊗ id↔)) ⊚ (swap⋆ ⊕ swap⋆) ⊚ factor ⊚ swap⋆)) | |
| ⊕ (id↔ ⊗ (swap₊ ⊗ id↔))) | |
| ⊚ factor ⊚ assocl⋆ ⊚ (swap⋆ ⊗ id↔) ⊚ assocr⋆) | |
| ⊕ id↔) | |
| ⊚ | |
| (((id↔ ⊗ ((dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ (swap₊ ⊗ id↔))) | |
| ⊚ | |
| (assocl⋆ ⊚ | |
| ((swap⋆ ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ swap⋆) ⊗ id↔) ⊚ | |
| assocr⋆) | |
| ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₂ (inj₂ (- (tt , 𝔽 , 𝔽))) ⟧⟫ | |
| ∷ | |
| ⟪ ⇐ ∣ | |
| id↔ ⊚ | |
| ((id↔ ⊕ | |
| (id↔ ⊗ | |
| ((id↔ ⊗ swap₊) ⊚ | |
| (swap⋆ ⊚ dist ⊚ (swap⋆ ⊕ swap⋆)) ⊚ | |
| ((swap₊ ⊗ id↔) ⊕ id↔) ⊚ (swap⋆ ⊕ swap⋆) ⊚ factor ⊚ swap⋆))) | |
| ⊕ id↔) | |
| ⊚ | |
| (factor ⊕ id↔) ⊚ | |
| ((assocl⋆ ⊚ | |
| (swap⋆ ⊗ id↔) ⊚ | |
| assocr⋆ ⊚ | |
| dist ⊚ | |
| ((id↔ ⊗ | |
| ((swap⋆ ⊚ dist ⊚ (swap⋆ ⊕ swap⋆)) ⊚ | |
| (id↔ ⊕ (swap₊ ⊗ id↔)) ⊚ (swap⋆ ⊕ swap⋆) ⊚ factor ⊚ swap⋆)) | |
| ⊕ (id↔ ⊗ (swap₊ ⊗ id↔))) | |
| ⊚ factor ⊚ assocl⋆ ⊚ (swap⋆ ⊗ id↔) ⊚ assocr⋆) | |
| ⊕ id↔) | |
| ⊚ | |
| (((id↔ ⊗ ((dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ (swap₊ ⊗ id↔))) | |
| ⊚ | |
| (assocl⋆ ⊚ | |
| ((swap⋆ ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ swap⋆) ⊗ id↔) ⊚ | |
| assocr⋆) | |
| ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₂ (inj₂ (- (tt , 𝔽 , 𝔽))) ⟧⟫ | |
| ∷ | |
| ⟪ ⇐ ∣ | |
| assocl₊ ⊚ | |
| ((id↔ ⊕ | |
| (id↔ ⊗ | |
| ((id↔ ⊗ swap₊) ⊚ | |
| (swap⋆ ⊚ dist ⊚ (swap⋆ ⊕ swap⋆)) ⊚ | |
| ((swap₊ ⊗ id↔) ⊕ id↔) ⊚ (swap⋆ ⊕ swap⋆) ⊚ factor ⊚ swap⋆))) | |
| ⊕ id↔) | |
| ⊚ | |
| (factor ⊕ id↔) ⊚ | |
| ((assocl⋆ ⊚ | |
| (swap⋆ ⊗ id↔) ⊚ | |
| assocr⋆ ⊚ | |
| dist ⊚ | |
| ((id↔ ⊗ | |
| ((swap⋆ ⊚ dist ⊚ (swap⋆ ⊕ swap⋆)) ⊚ | |
| (id↔ ⊕ (swap₊ ⊗ id↔)) ⊚ (swap⋆ ⊕ swap⋆) ⊚ factor ⊚ swap⋆)) | |
| ⊕ (id↔ ⊗ (swap₊ ⊗ id↔))) | |
| ⊚ factor ⊚ assocl⋆ ⊚ (swap⋆ ⊗ id↔) ⊚ assocr⋆) | |
| ⊕ id↔) | |
| ⊚ | |
| (((id↔ ⊗ ((dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ (swap₊ ⊗ id↔))) | |
| ⊚ | |
| (assocl⋆ ⊚ | |
| ((swap⋆ ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ swap⋆) ⊗ id↔) ⊚ | |
| assocr⋆) | |
| ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₂ (inj₂ (inj₂ (- (tt , 𝔽 , 𝔽)))) ⟧⟫ | |
| ∷ | |
| ⟪ ⇐ ∣ | |
| (id↔ ⊚ assocl₊) ⊚ | |
| ((id↔ ⊕ | |
| (id↔ ⊗ | |
| ((id↔ ⊗ swap₊) ⊚ | |
| (swap⋆ ⊚ dist ⊚ (swap⋆ ⊕ swap⋆)) ⊚ | |
| ((swap₊ ⊗ id↔) ⊕ id↔) ⊚ (swap⋆ ⊕ swap⋆) ⊚ factor ⊚ swap⋆))) | |
| ⊕ id↔) | |
| ⊚ | |
| (factor ⊕ id↔) ⊚ | |
| ((assocl⋆ ⊚ | |
| (swap⋆ ⊗ id↔) ⊚ | |
| assocr⋆ ⊚ | |
| dist ⊚ | |
| ((id↔ ⊗ | |
| ((swap⋆ ⊚ dist ⊚ (swap⋆ ⊕ swap⋆)) ⊚ | |
| (id↔ ⊕ (swap₊ ⊗ id↔)) ⊚ (swap⋆ ⊕ swap⋆) ⊚ factor ⊚ swap⋆)) | |
| ⊕ (id↔ ⊗ (swap₊ ⊗ id↔))) | |
| ⊚ factor ⊚ assocl⋆ ⊚ (swap⋆ ⊗ id↔) ⊚ assocr⋆) | |
| ⊕ id↔) | |
| ⊚ | |
| (((id↔ ⊗ ((dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ (swap₊ ⊗ id↔))) | |
| ⊚ | |
| (assocl⋆ ⊚ | |
| ((swap⋆ ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ swap⋆) ⊗ id↔) ⊚ | |
| assocr⋆) | |
| ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₂ (inj₂ (inj₂ (- (tt , 𝔽 , 𝔽)))) ⟧⟫ | |
| ∷ | |
| ⟪ ⇐ ∣ | |
| ((id↔ ⊕ id↔) ⊚ assocl₊) ⊚ | |
| ((id↔ ⊕ | |
| (id↔ ⊗ | |
| ((id↔ ⊗ swap₊) ⊚ | |
| (swap⋆ ⊚ dist ⊚ (swap⋆ ⊕ swap⋆)) ⊚ | |
| ((swap₊ ⊗ id↔) ⊕ id↔) ⊚ (swap⋆ ⊕ swap⋆) ⊚ factor ⊚ swap⋆))) | |
| ⊕ id↔) | |
| ⊚ | |
| (factor ⊕ id↔) ⊚ | |
| ((assocl⋆ ⊚ | |
| (swap⋆ ⊗ id↔) ⊚ | |
| assocr⋆ ⊚ | |
| dist ⊚ | |
| ((id↔ ⊗ | |
| ((swap⋆ ⊚ dist ⊚ (swap⋆ ⊕ swap⋆)) ⊚ | |
| (id↔ ⊕ (swap₊ ⊗ id↔)) ⊚ (swap⋆ ⊕ swap⋆) ⊚ factor ⊚ swap⋆)) | |
| ⊕ (id↔ ⊗ (swap₊ ⊗ id↔))) | |
| ⊚ factor ⊚ assocl⋆ ⊚ (swap⋆ ⊗ id↔) ⊚ assocr⋆) | |
| ⊕ id↔) | |
| ⊚ | |
| (((id↔ ⊗ ((dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ (swap₊ ⊗ id↔))) | |
| ⊚ | |
| (assocl⋆ ⊚ | |
| ((swap⋆ ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ swap⋆) ⊗ id↔) ⊚ | |
| assocr⋆) | |
| ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₂ (inj₂ (inj₂ (- (tt , 𝔽 , 𝔽)))) ⟧⟫ | |
| ∷ | |
| ⟪ ⇐ ∣ | |
| ((id↔ ⊕ assocr₊) ⊚ assocl₊) ⊚ | |
| ((id↔ ⊕ | |
| (id↔ ⊗ | |
| ((id↔ ⊗ swap₊) ⊚ | |
| (swap⋆ ⊚ dist ⊚ (swap⋆ ⊕ swap⋆)) ⊚ | |
| ((swap₊ ⊗ id↔) ⊕ id↔) ⊚ (swap⋆ ⊕ swap⋆) ⊚ factor ⊚ swap⋆))) | |
| ⊕ id↔) | |
| ⊚ | |
| (factor ⊕ id↔) ⊚ | |
| ((assocl⋆ ⊚ | |
| (swap⋆ ⊗ id↔) ⊚ | |
| assocr⋆ ⊚ | |
| dist ⊚ | |
| ((id↔ ⊗ | |
| ((swap⋆ ⊚ dist ⊚ (swap⋆ ⊕ swap⋆)) ⊚ | |
| (id↔ ⊕ (swap₊ ⊗ id↔)) ⊚ (swap⋆ ⊕ swap⋆) ⊚ factor ⊚ swap⋆)) | |
| ⊕ (id↔ ⊗ (swap₊ ⊗ id↔))) | |
| ⊚ factor ⊚ assocl⋆ ⊚ (swap⋆ ⊗ id↔) ⊚ assocr⋆) | |
| ⊕ id↔) | |
| ⊚ | |
| (((id↔ ⊗ ((dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ (swap₊ ⊗ id↔))) | |
| ⊚ | |
| (assocl⋆ ⊚ | |
| ((swap⋆ ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ swap⋆) ⊗ id↔) ⊚ | |
| assocr⋆) | |
| ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₂ (inj₂ (- (tt , 𝔽 , 𝔽))) ⟧⟫ | |
| ∷ | |
| ⟪ ⇐ ∣ | |
| ((id↔ ⊕ (id↔ ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| ((id↔ ⊕ | |
| (id↔ ⊗ | |
| ((id↔ ⊗ swap₊) ⊚ | |
| (swap⋆ ⊚ dist ⊚ (swap⋆ ⊕ swap⋆)) ⊚ | |
| ((swap₊ ⊗ id↔) ⊕ id↔) ⊚ (swap⋆ ⊕ swap⋆) ⊚ factor ⊚ swap⋆))) | |
| ⊕ id↔) | |
| ⊚ | |
| (factor ⊕ id↔) ⊚ | |
| ((assocl⋆ ⊚ | |
| (swap⋆ ⊗ id↔) ⊚ | |
| assocr⋆ ⊚ | |
| dist ⊚ | |
| ((id↔ ⊗ | |
| ((swap⋆ ⊚ dist ⊚ (swap⋆ ⊕ swap⋆)) ⊚ | |
| (id↔ ⊕ (swap₊ ⊗ id↔)) ⊚ (swap⋆ ⊕ swap⋆) ⊚ factor ⊚ swap⋆)) | |
| ⊕ (id↔ ⊗ (swap₊ ⊗ id↔))) | |
| ⊚ factor ⊚ assocl⋆ ⊚ (swap⋆ ⊗ id↔) ⊚ assocr⋆) | |
| ⊕ id↔) | |
| ⊚ | |
| (((id↔ ⊗ ((dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ (swap₊ ⊗ id↔))) | |
| ⊚ | |
| (assocl⋆ ⊚ | |
| ((swap⋆ ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ swap⋆) ⊗ id↔) ⊚ | |
| assocr⋆) | |
| ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₂ (inj₂ (- (tt , 𝔽 , 𝔽))) ⟧⟫ | |
| ∷ | |
| ⟪ ⇐ ∣ | |
| ((id↔ ⊕ ((id↔ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| ((id↔ ⊕ | |
| (id↔ ⊗ | |
| ((id↔ ⊗ swap₊) ⊚ | |
| (swap⋆ ⊚ dist ⊚ (swap⋆ ⊕ swap⋆)) ⊚ | |
| ((swap₊ ⊗ id↔) ⊕ id↔) ⊚ (swap⋆ ⊕ swap⋆) ⊚ factor ⊚ swap⋆))) | |
| ⊕ id↔) | |
| ⊚ | |
| (factor ⊕ id↔) ⊚ | |
| ((assocl⋆ ⊚ | |
| (swap⋆ ⊗ id↔) ⊚ | |
| assocr⋆ ⊚ | |
| dist ⊚ | |
| ((id↔ ⊗ | |
| ((swap⋆ ⊚ dist ⊚ (swap⋆ ⊕ swap⋆)) ⊚ | |
| (id↔ ⊕ (swap₊ ⊗ id↔)) ⊚ (swap⋆ ⊕ swap⋆) ⊚ factor ⊚ swap⋆)) | |
| ⊕ (id↔ ⊗ (swap₊ ⊗ id↔))) | |
| ⊚ factor ⊚ assocl⋆ ⊚ (swap⋆ ⊗ id↔) ⊚ assocr⋆) | |
| ⊕ id↔) | |
| ⊚ | |
| (((id↔ ⊗ ((dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ (swap₊ ⊗ id↔))) | |
| ⊚ | |
| (assocl⋆ ⊚ | |
| ((swap⋆ ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ swap⋆) ⊗ id↔) ⊚ | |
| assocr⋆) | |
| ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₂ (inj₂ (- (tt , 𝔽 , 𝔽))) ⟧⟫ | |
| ∷ | |
| ⟪ ⇐ ∣ | |
| ((id↔ ⊕ ((swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| ((id↔ ⊕ | |
| (id↔ ⊗ | |
| ((id↔ ⊗ swap₊) ⊚ | |
| (swap⋆ ⊚ dist ⊚ (swap⋆ ⊕ swap⋆)) ⊚ | |
| ((swap₊ ⊗ id↔) ⊕ id↔) ⊚ (swap⋆ ⊕ swap⋆) ⊚ factor ⊚ swap⋆))) | |
| ⊕ id↔) | |
| ⊚ | |
| (factor ⊕ id↔) ⊚ | |
| ((assocl⋆ ⊚ | |
| (swap⋆ ⊗ id↔) ⊚ | |
| assocr⋆ ⊚ | |
| dist ⊚ | |
| ((id↔ ⊗ | |
| ((swap⋆ ⊚ dist ⊚ (swap⋆ ⊕ swap⋆)) ⊚ | |
| (id↔ ⊕ (swap₊ ⊗ id↔)) ⊚ (swap⋆ ⊕ swap⋆) ⊚ factor ⊚ swap⋆)) | |
| ⊕ (id↔ ⊗ (swap₊ ⊗ id↔))) | |
| ⊚ factor ⊚ assocl⋆ ⊚ (swap⋆ ⊗ id↔) ⊚ assocr⋆) | |
| ⊕ id↔) | |
| ⊚ | |
| (((id↔ ⊗ ((dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ (swap₊ ⊗ id↔))) | |
| ⊚ | |
| (assocl⋆ ⊚ | |
| ((swap⋆ ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ swap⋆) ⊗ id↔) ⊚ | |
| assocr⋆) | |
| ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₂ (inj₂ (- (tt , 𝔽 , 𝔽))) ⟧⟫ | |
| ∷ | |
| ⟪ ⇐ ∣ | |
| ((id↔ ⊕ (id↔ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| ((id↔ ⊕ | |
| (id↔ ⊗ | |
| ((id↔ ⊗ swap₊) ⊚ | |
| (swap⋆ ⊚ dist ⊚ (swap⋆ ⊕ swap⋆)) ⊚ | |
| ((swap₊ ⊗ id↔) ⊕ id↔) ⊚ (swap⋆ ⊕ swap⋆) ⊚ factor ⊚ swap⋆))) | |
| ⊕ id↔) | |
| ⊚ | |
| (factor ⊕ id↔) ⊚ | |
| ((assocl⋆ ⊚ | |
| (swap⋆ ⊗ id↔) ⊚ | |
| assocr⋆ ⊚ | |
| dist ⊚ | |
| ((id↔ ⊗ | |
| ((swap⋆ ⊚ dist ⊚ (swap⋆ ⊕ swap⋆)) ⊚ | |
| (id↔ ⊕ (swap₊ ⊗ id↔)) ⊚ (swap⋆ ⊕ swap⋆) ⊚ factor ⊚ swap⋆)) | |
| ⊕ (id↔ ⊗ (swap₊ ⊗ id↔))) | |
| ⊚ factor ⊚ assocl⋆ ⊚ (swap⋆ ⊗ id↔) ⊚ assocr⋆) | |
| ⊕ id↔) | |
| ⊚ | |
| (((id↔ ⊗ ((dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ (swap₊ ⊗ id↔))) | |
| ⊚ | |
| (assocl⋆ ⊚ | |
| ((swap⋆ ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ swap⋆) ⊗ id↔) ⊚ | |
| assocr⋆) | |
| ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₂ (inj₂ (- (tt , 𝔽 , 𝔽))) ⟧⟫ | |
| ∷ | |
| ⟪ ⇐ ∣ | |
| ((id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| ((id↔ ⊕ | |
| (id↔ ⊗ | |
| ((id↔ ⊗ swap₊) ⊚ | |
| (swap⋆ ⊚ dist ⊚ (swap⋆ ⊕ swap⋆)) ⊚ | |
| ((swap₊ ⊗ id↔) ⊕ id↔) ⊚ (swap⋆ ⊕ swap⋆) ⊚ factor ⊚ swap⋆))) | |
| ⊕ id↔) | |
| ⊚ | |
| (factor ⊕ id↔) ⊚ | |
| ((assocl⋆ ⊚ | |
| (swap⋆ ⊗ id↔) ⊚ | |
| assocr⋆ ⊚ | |
| dist ⊚ | |
| ((id↔ ⊗ | |
| ((swap⋆ ⊚ dist ⊚ (swap⋆ ⊕ swap⋆)) ⊚ | |
| (id↔ ⊕ (swap₊ ⊗ id↔)) ⊚ (swap⋆ ⊕ swap⋆) ⊚ factor ⊚ swap⋆)) | |
| ⊕ (id↔ ⊗ (swap₊ ⊗ id↔))) | |
| ⊚ factor ⊚ assocl⋆ ⊚ (swap⋆ ⊗ id↔) ⊚ assocr⋆) | |
| ⊕ id↔) | |
| ⊚ | |
| (((id↔ ⊗ ((dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ (swap₊ ⊗ id↔))) | |
| ⊚ | |
| (assocl⋆ ⊚ | |
| ((swap⋆ ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ swap⋆) ⊗ id↔) ⊚ | |
| assocr⋆) | |
| ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₂ (inj₂ (inj₂ (- (tt , 𝔽 , 𝔽)))) ⟧⟫ | |
| ∷ | |
| ⟪ ⇐ ∣ | |
| (id↔ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| ((id↔ ⊕ | |
| (id↔ ⊗ | |
| ((id↔ ⊗ swap₊) ⊚ | |
| (swap⋆ ⊚ dist ⊚ (swap⋆ ⊕ swap⋆)) ⊚ | |
| ((swap₊ ⊗ id↔) ⊕ id↔) ⊚ (swap⋆ ⊕ swap⋆) ⊚ factor ⊚ swap⋆))) | |
| ⊕ id↔) | |
| ⊚ | |
| (factor ⊕ id↔) ⊚ | |
| ((assocl⋆ ⊚ | |
| (swap⋆ ⊗ id↔) ⊚ | |
| assocr⋆ ⊚ | |
| dist ⊚ | |
| ((id↔ ⊗ | |
| ((swap⋆ ⊚ dist ⊚ (swap⋆ ⊕ swap⋆)) ⊚ | |
| (id↔ ⊕ (swap₊ ⊗ id↔)) ⊚ (swap⋆ ⊕ swap⋆) ⊚ factor ⊚ swap⋆)) | |
| ⊕ (id↔ ⊗ (swap₊ ⊗ id↔))) | |
| ⊚ factor ⊚ assocl⋆ ⊚ (swap⋆ ⊗ id↔) ⊚ assocr⋆) | |
| ⊕ id↔) | |
| ⊚ | |
| (((id↔ ⊗ ((dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ (swap₊ ⊗ id↔))) | |
| ⊚ | |
| (assocl⋆ ⊚ | |
| ((swap⋆ ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ swap⋆) ⊗ id↔) ⊚ | |
| assocr⋆) | |
| ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₂ (inj₂ (inj₂ (- (tt , 𝔽 , 𝔽)))) ⟧⟫ | |
| ∷ | |
| ⟪ ⇐ ∣ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| ((id↔ ⊕ | |
| (id↔ ⊗ | |
| ((id↔ ⊗ swap₊) ⊚ | |
| (swap⋆ ⊚ dist ⊚ (swap⋆ ⊕ swap⋆)) ⊚ | |
| ((swap₊ ⊗ id↔) ⊕ id↔) ⊚ (swap⋆ ⊕ swap⋆) ⊚ factor ⊚ swap⋆))) | |
| ⊕ id↔) | |
| ⊚ | |
| (factor ⊕ id↔) ⊚ | |
| ((assocl⋆ ⊚ | |
| (swap⋆ ⊗ id↔) ⊚ | |
| assocr⋆ ⊚ | |
| dist ⊚ | |
| ((id↔ ⊗ | |
| ((swap⋆ ⊚ dist ⊚ (swap⋆ ⊕ swap⋆)) ⊚ | |
| (id↔ ⊕ (swap₊ ⊗ id↔)) ⊚ (swap⋆ ⊕ swap⋆) ⊚ factor ⊚ swap⋆)) | |
| ⊕ (id↔ ⊗ (swap₊ ⊗ id↔))) | |
| ⊚ factor ⊚ assocl⋆ ⊚ (swap⋆ ⊗ id↔) ⊚ assocr⋆) | |
| ⊕ id↔) | |
| ⊚ | |
| (((id↔ ⊗ ((dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ (swap₊ ⊗ id↔))) | |
| ⊚ | |
| (assocl⋆ ⊚ | |
| ((swap⋆ ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ swap⋆) ⊗ id↔) ⊚ | |
| assocr⋆) | |
| ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₂ (inj₂ (- (tt , 𝔽 , 𝔽))) ⟧⟫ | |
| ∷ | |
| ⟪ ⇐ ∣ | |
| id↔ ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| ((id↔ ⊕ | |
| (id↔ ⊗ | |
| ((id↔ ⊗ swap₊) ⊚ | |
| (swap⋆ ⊚ dist ⊚ (swap⋆ ⊕ swap⋆)) ⊚ | |
| ((swap₊ ⊗ id↔) ⊕ id↔) ⊚ (swap⋆ ⊕ swap⋆) ⊚ factor ⊚ swap⋆))) | |
| ⊕ id↔) | |
| ⊚ | |
| (factor ⊕ id↔) ⊚ | |
| ((assocl⋆ ⊚ | |
| (swap⋆ ⊗ id↔) ⊚ | |
| assocr⋆ ⊚ | |
| dist ⊚ | |
| ((id↔ ⊗ | |
| ((swap⋆ ⊚ dist ⊚ (swap⋆ ⊕ swap⋆)) ⊚ | |
| (id↔ ⊕ (swap₊ ⊗ id↔)) ⊚ (swap⋆ ⊕ swap⋆) ⊚ factor ⊚ swap⋆)) | |
| ⊕ (id↔ ⊗ (swap₊ ⊗ id↔))) | |
| ⊚ factor ⊚ assocl⋆ ⊚ (swap⋆ ⊗ id↔) ⊚ assocr⋆) | |
| ⊕ id↔) | |
| ⊚ | |
| (((id↔ ⊗ ((dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ (swap₊ ⊗ id↔))) | |
| ⊚ | |
| (assocl⋆ ⊚ | |
| ((swap⋆ ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ swap⋆) ⊗ id↔) ⊚ | |
| assocr⋆) | |
| ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₂ (inj₂ (- (tt , 𝔽 , 𝔽))) ⟧⟫ | |
| ∷ | |
| ⟪ ⇐ ∣ | |
| (id↔ ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| ((id↔ ⊕ | |
| (id↔ ⊗ | |
| ((id↔ ⊗ swap₊) ⊚ | |
| (swap⋆ ⊚ dist ⊚ (swap⋆ ⊕ swap⋆)) ⊚ | |
| ((swap₊ ⊗ id↔) ⊕ id↔) ⊚ (swap⋆ ⊕ swap⋆) ⊚ factor ⊚ swap⋆))) | |
| ⊕ id↔) | |
| ⊚ | |
| (factor ⊕ id↔) ⊚ | |
| ((assocl⋆ ⊚ | |
| (swap⋆ ⊗ id↔) ⊚ | |
| assocr⋆ ⊚ | |
| dist ⊚ | |
| ((id↔ ⊗ | |
| ((swap⋆ ⊚ dist ⊚ (swap⋆ ⊕ swap⋆)) ⊚ | |
| (id↔ ⊕ (swap₊ ⊗ id↔)) ⊚ (swap⋆ ⊕ swap⋆) ⊚ factor ⊚ swap⋆)) | |
| ⊕ (id↔ ⊗ (swap₊ ⊗ id↔))) | |
| ⊚ factor ⊚ assocl⋆ ⊚ (swap⋆ ⊗ id↔) ⊚ assocr⋆) | |
| ⊕ id↔) | |
| ⊚ | |
| (((id↔ ⊗ ((dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ (swap₊ ⊗ id↔))) | |
| ⊚ | |
| (assocl⋆ ⊚ | |
| ((swap⋆ ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ swap⋆) ⊗ id↔) ⊚ | |
| assocr⋆) | |
| ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₂ (inj₂ (- (tt , 𝔽 , 𝔽))) ⟧⟫ | |
| ∷ | |
| ⟪ ⇒ ∣ | |
| (id↔ ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| ((id↔ ⊕ | |
| (id↔ ⊗ | |
| ((id↔ ⊗ swap₊) ⊚ | |
| (swap⋆ ⊚ dist ⊚ (swap⋆ ⊕ swap⋆)) ⊚ | |
| ((swap₊ ⊗ id↔) ⊕ id↔) ⊚ (swap⋆ ⊕ swap⋆) ⊚ factor ⊚ swap⋆))) | |
| ⊕ id↔) | |
| ⊚ | |
| (factor ⊕ id↔) ⊚ | |
| ((assocl⋆ ⊚ | |
| (swap⋆ ⊗ id↔) ⊚ | |
| assocr⋆ ⊚ | |
| dist ⊚ | |
| ((id↔ ⊗ | |
| ((swap⋆ ⊚ dist ⊚ (swap⋆ ⊕ swap⋆)) ⊚ | |
| (id↔ ⊕ (swap₊ ⊗ id↔)) ⊚ (swap⋆ ⊕ swap⋆) ⊚ factor ⊚ swap⋆)) | |
| ⊕ (id↔ ⊗ (swap₊ ⊗ id↔))) | |
| ⊚ factor ⊚ assocl⋆ ⊚ (swap⋆ ⊗ id↔) ⊚ assocr⋆) | |
| ⊕ id↔) | |
| ⊚ | |
| (((id↔ ⊗ ((dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ (swap₊ ⊗ id↔))) | |
| ⊚ | |
| (assocl⋆ ⊚ | |
| ((swap⋆ ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ swap⋆) ⊗ id↔) ⊚ | |
| assocr⋆) | |
| ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₂ (inj₁ (tt , 𝔽 , 𝔽)) ⟧⟫ | |
| ∷ | |
| ⟪ ⇒ ∣ | |
| id↔ ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| ((id↔ ⊕ | |
| (id↔ ⊗ | |
| ((id↔ ⊗ swap₊) ⊚ | |
| (swap⋆ ⊚ dist ⊚ (swap⋆ ⊕ swap⋆)) ⊚ | |
| ((swap₊ ⊗ id↔) ⊕ id↔) ⊚ (swap⋆ ⊕ swap⋆) ⊚ factor ⊚ swap⋆))) | |
| ⊕ id↔) | |
| ⊚ | |
| (factor ⊕ id↔) ⊚ | |
| ((assocl⋆ ⊚ | |
| (swap⋆ ⊗ id↔) ⊚ | |
| assocr⋆ ⊚ | |
| dist ⊚ | |
| ((id↔ ⊗ | |
| ((swap⋆ ⊚ dist ⊚ (swap⋆ ⊕ swap⋆)) ⊚ | |
| (id↔ ⊕ (swap₊ ⊗ id↔)) ⊚ (swap⋆ ⊕ swap⋆) ⊚ factor ⊚ swap⋆)) | |
| ⊕ (id↔ ⊗ (swap₊ ⊗ id↔))) | |
| ⊚ factor ⊚ assocl⋆ ⊚ (swap⋆ ⊗ id↔) ⊚ assocr⋆) | |
| ⊕ id↔) | |
| ⊚ | |
| (((id↔ ⊗ ((dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ (swap₊ ⊗ id↔))) | |
| ⊚ | |
| (assocl⋆ ⊚ | |
| ((swap⋆ ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ swap⋆) ⊗ id↔) ⊚ | |
| assocr⋆) | |
| ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₂ (inj₁ (tt , 𝔽 , 𝔽)) ⟧⟫ | |
| ∷ | |
| ⟪ ⇒ ∣ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| ((id↔ ⊕ | |
| (id↔ ⊗ | |
| ((id↔ ⊗ swap₊) ⊚ | |
| (swap⋆ ⊚ dist ⊚ (swap⋆ ⊕ swap⋆)) ⊚ | |
| ((swap₊ ⊗ id↔) ⊕ id↔) ⊚ (swap⋆ ⊕ swap⋆) ⊚ factor ⊚ swap⋆))) | |
| ⊕ id↔) | |
| ⊚ | |
| (factor ⊕ id↔) ⊚ | |
| ((assocl⋆ ⊚ | |
| (swap⋆ ⊗ id↔) ⊚ | |
| assocr⋆ ⊚ | |
| dist ⊚ | |
| ((id↔ ⊗ | |
| ((swap⋆ ⊚ dist ⊚ (swap⋆ ⊕ swap⋆)) ⊚ | |
| (id↔ ⊕ (swap₊ ⊗ id↔)) ⊚ (swap⋆ ⊕ swap⋆) ⊚ factor ⊚ swap⋆)) | |
| ⊕ (id↔ ⊗ (swap₊ ⊗ id↔))) | |
| ⊚ factor ⊚ assocl⋆ ⊚ (swap⋆ ⊗ id↔) ⊚ assocr⋆) | |
| ⊕ id↔) | |
| ⊚ | |
| (((id↔ ⊗ ((dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ (swap₊ ⊗ id↔))) | |
| ⊚ | |
| (assocl⋆ ⊚ | |
| ((swap⋆ ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ swap⋆) ⊗ id↔) ⊚ | |
| assocr⋆) | |
| ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₂ (inj₁ (tt , 𝔽 , 𝔽)) ⟧⟫ | |
| ∷ | |
| ⟪ ⇒ ∣ | |
| (id↔ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| ((id↔ ⊕ | |
| (id↔ ⊗ | |
| ((id↔ ⊗ swap₊) ⊚ | |
| (swap⋆ ⊚ dist ⊚ (swap⋆ ⊕ swap⋆)) ⊚ | |
| ((swap₊ ⊗ id↔) ⊕ id↔) ⊚ (swap⋆ ⊕ swap⋆) ⊚ factor ⊚ swap⋆))) | |
| ⊕ id↔) | |
| ⊚ | |
| (factor ⊕ id↔) ⊚ | |
| ((assocl⋆ ⊚ | |
| (swap⋆ ⊗ id↔) ⊚ | |
| assocr⋆ ⊚ | |
| dist ⊚ | |
| ((id↔ ⊗ | |
| ((swap⋆ ⊚ dist ⊚ (swap⋆ ⊕ swap⋆)) ⊚ | |
| (id↔ ⊕ (swap₊ ⊗ id↔)) ⊚ (swap⋆ ⊕ swap⋆) ⊚ factor ⊚ swap⋆)) | |
| ⊕ (id↔ ⊗ (swap₊ ⊗ id↔))) | |
| ⊚ factor ⊚ assocl⋆ ⊚ (swap⋆ ⊗ id↔) ⊚ assocr⋆) | |
| ⊕ id↔) | |
| ⊚ | |
| (((id↔ ⊗ ((dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ (swap₊ ⊗ id↔))) | |
| ⊚ | |
| (assocl⋆ ⊚ | |
| ((swap⋆ ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ swap⋆) ⊗ id↔) ⊚ | |
| assocr⋆) | |
| ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₂ (inj₂ (inj₁ (tt , 𝔽 , 𝔽))) ⟧⟫ | |
| ∷ | |
| ⟪ ⇒ ∣ | |
| ((id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| ((id↔ ⊕ | |
| (id↔ ⊗ | |
| ((id↔ ⊗ swap₊) ⊚ | |
| (swap⋆ ⊚ dist ⊚ (swap⋆ ⊕ swap⋆)) ⊚ | |
| ((swap₊ ⊗ id↔) ⊕ id↔) ⊚ (swap⋆ ⊕ swap⋆) ⊚ factor ⊚ swap⋆))) | |
| ⊕ id↔) | |
| ⊚ | |
| (factor ⊕ id↔) ⊚ | |
| ((assocl⋆ ⊚ | |
| (swap⋆ ⊗ id↔) ⊚ | |
| assocr⋆ ⊚ | |
| dist ⊚ | |
| ((id↔ ⊗ | |
| ((swap⋆ ⊚ dist ⊚ (swap⋆ ⊕ swap⋆)) ⊚ | |
| (id↔ ⊕ (swap₊ ⊗ id↔)) ⊚ (swap⋆ ⊕ swap⋆) ⊚ factor ⊚ swap⋆)) | |
| ⊕ (id↔ ⊗ (swap₊ ⊗ id↔))) | |
| ⊚ factor ⊚ assocl⋆ ⊚ (swap⋆ ⊗ id↔) ⊚ assocr⋆) | |
| ⊕ id↔) | |
| ⊚ | |
| (((id↔ ⊗ ((dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ (swap₊ ⊗ id↔))) | |
| ⊚ | |
| (assocl⋆ ⊚ | |
| ((swap⋆ ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ swap⋆) ⊗ id↔) ⊚ | |
| assocr⋆) | |
| ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₂ (inj₂ (inj₁ (tt , 𝔽 , 𝔽))) ⟧⟫ | |
| ∷ | |
| ⟪ ⇒ ∣ | |
| ((id↔ ⊕ (id↔ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| ((id↔ ⊕ | |
| (id↔ ⊗ | |
| ((id↔ ⊗ swap₊) ⊚ | |
| (swap⋆ ⊚ dist ⊚ (swap⋆ ⊕ swap⋆)) ⊚ | |
| ((swap₊ ⊗ id↔) ⊕ id↔) ⊚ (swap⋆ ⊕ swap⋆) ⊚ factor ⊚ swap⋆))) | |
| ⊕ id↔) | |
| ⊚ | |
| (factor ⊕ id↔) ⊚ | |
| ((assocl⋆ ⊚ | |
| (swap⋆ ⊗ id↔) ⊚ | |
| assocr⋆ ⊚ | |
| dist ⊚ | |
| ((id↔ ⊗ | |
| ((swap⋆ ⊚ dist ⊚ (swap⋆ ⊕ swap⋆)) ⊚ | |
| (id↔ ⊕ (swap₊ ⊗ id↔)) ⊚ (swap⋆ ⊕ swap⋆) ⊚ factor ⊚ swap⋆)) | |
| ⊕ (id↔ ⊗ (swap₊ ⊗ id↔))) | |
| ⊚ factor ⊚ assocl⋆ ⊚ (swap⋆ ⊗ id↔) ⊚ assocr⋆) | |
| ⊕ id↔) | |
| ⊚ | |
| (((id↔ ⊗ ((dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ (swap₊ ⊗ id↔))) | |
| ⊚ | |
| (assocl⋆ ⊚ | |
| ((swap⋆ ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ swap⋆) ⊗ id↔) ⊚ | |
| assocr⋆) | |
| ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₂ (inj₁ (inj₂ (tt , 𝔽 , 𝔽))) ⟧⟫ | |
| ∷ | |
| ⟪ ⇒ ∣ | |
| ((id↔ ⊕ ((swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| ((id↔ ⊕ | |
| (id↔ ⊗ | |
| ((id↔ ⊗ swap₊) ⊚ | |
| (swap⋆ ⊚ dist ⊚ (swap⋆ ⊕ swap⋆)) ⊚ | |
| ((swap₊ ⊗ id↔) ⊕ id↔) ⊚ (swap⋆ ⊕ swap⋆) ⊚ factor ⊚ swap⋆))) | |
| ⊕ id↔) | |
| ⊚ | |
| (factor ⊕ id↔) ⊚ | |
| ((assocl⋆ ⊚ | |
| (swap⋆ ⊗ id↔) ⊚ | |
| assocr⋆ ⊚ | |
| dist ⊚ | |
| ((id↔ ⊗ | |
| ((swap⋆ ⊚ dist ⊚ (swap⋆ ⊕ swap⋆)) ⊚ | |
| (id↔ ⊕ (swap₊ ⊗ id↔)) ⊚ (swap⋆ ⊕ swap⋆) ⊚ factor ⊚ swap⋆)) | |
| ⊕ (id↔ ⊗ (swap₊ ⊗ id↔))) | |
| ⊚ factor ⊚ assocl⋆ ⊚ (swap⋆ ⊗ id↔) ⊚ assocr⋆) | |
| ⊕ id↔) | |
| ⊚ | |
| (((id↔ ⊗ ((dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ (swap₊ ⊗ id↔))) | |
| ⊚ | |
| (assocl⋆ ⊚ | |
| ((swap⋆ ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ swap⋆) ⊗ id↔) ⊚ | |
| assocr⋆) | |
| ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₂ (inj₁ (inj₂ (tt , 𝔽 , 𝔽))) ⟧⟫ | |
| ∷ | |
| ⟪ ⇒ ∣ | |
| ((id↔ ⊕ ((id↔ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| ((id↔ ⊕ | |
| (id↔ ⊗ | |
| ((id↔ ⊗ swap₊) ⊚ | |
| (swap⋆ ⊚ dist ⊚ (swap⋆ ⊕ swap⋆)) ⊚ | |
| ((swap₊ ⊗ id↔) ⊕ id↔) ⊚ (swap⋆ ⊕ swap⋆) ⊚ factor ⊚ swap⋆))) | |
| ⊕ id↔) | |
| ⊚ | |
| (factor ⊕ id↔) ⊚ | |
| ((assocl⋆ ⊚ | |
| (swap⋆ ⊗ id↔) ⊚ | |
| assocr⋆ ⊚ | |
| dist ⊚ | |
| ((id↔ ⊗ | |
| ((swap⋆ ⊚ dist ⊚ (swap⋆ ⊕ swap⋆)) ⊚ | |
| (id↔ ⊕ (swap₊ ⊗ id↔)) ⊚ (swap⋆ ⊕ swap⋆) ⊚ factor ⊚ swap⋆)) | |
| ⊕ (id↔ ⊗ (swap₊ ⊗ id↔))) | |
| ⊚ factor ⊚ assocl⋆ ⊚ (swap⋆ ⊗ id↔) ⊚ assocr⋆) | |
| ⊕ id↔) | |
| ⊚ | |
| (((id↔ ⊗ ((dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ (swap₊ ⊗ id↔))) | |
| ⊚ | |
| (assocl⋆ ⊚ | |
| ((swap⋆ ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ swap⋆) ⊗ id↔) ⊚ | |
| assocr⋆) | |
| ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₂ (inj₁ (inj₁ (tt , 𝔽 , 𝔽))) ⟧⟫ | |
| ∷ | |
| ⟪ ⇒ ∣ | |
| ((id↔ ⊕ (id↔ ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| ((id↔ ⊕ | |
| (id↔ ⊗ | |
| ((id↔ ⊗ swap₊) ⊚ | |
| (swap⋆ ⊚ dist ⊚ (swap⋆ ⊕ swap⋆)) ⊚ | |
| ((swap₊ ⊗ id↔) ⊕ id↔) ⊚ (swap⋆ ⊕ swap⋆) ⊚ factor ⊚ swap⋆))) | |
| ⊕ id↔) | |
| ⊚ | |
| (factor ⊕ id↔) ⊚ | |
| ((assocl⋆ ⊚ | |
| (swap⋆ ⊗ id↔) ⊚ | |
| assocr⋆ ⊚ | |
| dist ⊚ | |
| ((id↔ ⊗ | |
| ((swap⋆ ⊚ dist ⊚ (swap⋆ ⊕ swap⋆)) ⊚ | |
| (id↔ ⊕ (swap₊ ⊗ id↔)) ⊚ (swap⋆ ⊕ swap⋆) ⊚ factor ⊚ swap⋆)) | |
| ⊕ (id↔ ⊗ (swap₊ ⊗ id↔))) | |
| ⊚ factor ⊚ assocl⋆ ⊚ (swap⋆ ⊗ id↔) ⊚ assocr⋆) | |
| ⊕ id↔) | |
| ⊚ | |
| (((id↔ ⊗ ((dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ (swap₊ ⊗ id↔))) | |
| ⊚ | |
| (assocl⋆ ⊚ | |
| ((swap⋆ ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ swap⋆) ⊗ id↔) ⊚ | |
| assocr⋆) | |
| ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₂ (inj₁ (inj₁ (tt , 𝔽 , 𝔽))) ⟧⟫ | |
| ∷ | |
| ⟪ ⇒ ∣ | |
| ((id↔ ⊕ assocr₊) ⊚ assocl₊) ⊚ | |
| ((id↔ ⊕ | |
| (id↔ ⊗ | |
| ((id↔ ⊗ swap₊) ⊚ | |
| (swap⋆ ⊚ dist ⊚ (swap⋆ ⊕ swap⋆)) ⊚ | |
| ((swap₊ ⊗ id↔) ⊕ id↔) ⊚ (swap⋆ ⊕ swap⋆) ⊚ factor ⊚ swap⋆))) | |
| ⊕ id↔) | |
| ⊚ | |
| (factor ⊕ id↔) ⊚ | |
| ((assocl⋆ ⊚ | |
| (swap⋆ ⊗ id↔) ⊚ | |
| assocr⋆ ⊚ | |
| dist ⊚ | |
| ((id↔ ⊗ | |
| ((swap⋆ ⊚ dist ⊚ (swap⋆ ⊕ swap⋆)) ⊚ | |
| (id↔ ⊕ (swap₊ ⊗ id↔)) ⊚ (swap⋆ ⊕ swap⋆) ⊚ factor ⊚ swap⋆)) | |
| ⊕ (id↔ ⊗ (swap₊ ⊗ id↔))) | |
| ⊚ factor ⊚ assocl⋆ ⊚ (swap⋆ ⊗ id↔) ⊚ assocr⋆) | |
| ⊕ id↔) | |
| ⊚ | |
| (((id↔ ⊗ ((dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ (swap₊ ⊗ id↔))) | |
| ⊚ | |
| (assocl⋆ ⊚ | |
| ((swap⋆ ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ swap⋆) ⊗ id↔) ⊚ | |
| assocr⋆) | |
| ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₂ (inj₁ (inj₁ (tt , 𝔽 , 𝔽))) ⟧⟫ | |
| ∷ | |
| ⟪ ⇒ ∣ | |
| ((id↔ ⊕ id↔) ⊚ assocl₊) ⊚ | |
| ((id↔ ⊕ | |
| (id↔ ⊗ | |
| ((id↔ ⊗ swap₊) ⊚ | |
| (swap⋆ ⊚ dist ⊚ (swap⋆ ⊕ swap⋆)) ⊚ | |
| ((swap₊ ⊗ id↔) ⊕ id↔) ⊚ (swap⋆ ⊕ swap⋆) ⊚ factor ⊚ swap⋆))) | |
| ⊕ id↔) | |
| ⊚ | |
| (factor ⊕ id↔) ⊚ | |
| ((assocl⋆ ⊚ | |
| (swap⋆ ⊗ id↔) ⊚ | |
| assocr⋆ ⊚ | |
| dist ⊚ | |
| ((id↔ ⊗ | |
| ((swap⋆ ⊚ dist ⊚ (swap⋆ ⊕ swap⋆)) ⊚ | |
| (id↔ ⊕ (swap₊ ⊗ id↔)) ⊚ (swap⋆ ⊕ swap⋆) ⊚ factor ⊚ swap⋆)) | |
| ⊕ (id↔ ⊗ (swap₊ ⊗ id↔))) | |
| ⊚ factor ⊚ assocl⋆ ⊚ (swap⋆ ⊗ id↔) ⊚ assocr⋆) | |
| ⊕ id↔) | |
| ⊚ | |
| (((id↔ ⊗ ((dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ (swap₊ ⊗ id↔))) | |
| ⊚ | |
| (assocl⋆ ⊚ | |
| ((swap⋆ ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ swap⋆) ⊗ id↔) ⊚ | |
| assocr⋆) | |
| ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₂ (inj₁ (tt , 𝔽 , 𝔽)) ⟧⟫ | |
| ∷ | |
| ⟪ ⇒ ∣ | |
| (id↔ ⊚ assocl₊) ⊚ | |
| ((id↔ ⊕ | |
| (id↔ ⊗ | |
| ((id↔ ⊗ swap₊) ⊚ | |
| (swap⋆ ⊚ dist ⊚ (swap⋆ ⊕ swap⋆)) ⊚ | |
| ((swap₊ ⊗ id↔) ⊕ id↔) ⊚ (swap⋆ ⊕ swap⋆) ⊚ factor ⊚ swap⋆))) | |
| ⊕ id↔) | |
| ⊚ | |
| (factor ⊕ id↔) ⊚ | |
| ((assocl⋆ ⊚ | |
| (swap⋆ ⊗ id↔) ⊚ | |
| assocr⋆ ⊚ | |
| dist ⊚ | |
| ((id↔ ⊗ | |
| ((swap⋆ ⊚ dist ⊚ (swap⋆ ⊕ swap⋆)) ⊚ | |
| (id↔ ⊕ (swap₊ ⊗ id↔)) ⊚ (swap⋆ ⊕ swap⋆) ⊚ factor ⊚ swap⋆)) | |
| ⊕ (id↔ ⊗ (swap₊ ⊗ id↔))) | |
| ⊚ factor ⊚ assocl⋆ ⊚ (swap⋆ ⊗ id↔) ⊚ assocr⋆) | |
| ⊕ id↔) | |
| ⊚ | |
| (((id↔ ⊗ ((dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ (swap₊ ⊗ id↔))) | |
| ⊚ | |
| (assocl⋆ ⊚ | |
| ((swap⋆ ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ swap⋆) ⊗ id↔) ⊚ | |
| assocr⋆) | |
| ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₂ (inj₁ (tt , 𝔽 , 𝔽)) ⟧⟫ | |
| ∷ | |
| ⟪ ⇒ ∣ | |
| assocl₊ ⊚ | |
| ((id↔ ⊕ | |
| (id↔ ⊗ | |
| ((id↔ ⊗ swap₊) ⊚ | |
| (swap⋆ ⊚ dist ⊚ (swap⋆ ⊕ swap⋆)) ⊚ | |
| ((swap₊ ⊗ id↔) ⊕ id↔) ⊚ (swap⋆ ⊕ swap⋆) ⊚ factor ⊚ swap⋆))) | |
| ⊕ id↔) | |
| ⊚ | |
| (factor ⊕ id↔) ⊚ | |
| ((assocl⋆ ⊚ | |
| (swap⋆ ⊗ id↔) ⊚ | |
| assocr⋆ ⊚ | |
| dist ⊚ | |
| ((id↔ ⊗ | |
| ((swap⋆ ⊚ dist ⊚ (swap⋆ ⊕ swap⋆)) ⊚ | |
| (id↔ ⊕ (swap₊ ⊗ id↔)) ⊚ (swap⋆ ⊕ swap⋆) ⊚ factor ⊚ swap⋆)) | |
| ⊕ (id↔ ⊗ (swap₊ ⊗ id↔))) | |
| ⊚ factor ⊚ assocl⋆ ⊚ (swap⋆ ⊗ id↔) ⊚ assocr⋆) | |
| ⊕ id↔) | |
| ⊚ | |
| (((id↔ ⊗ ((dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ (swap₊ ⊗ id↔))) | |
| ⊚ | |
| (assocl⋆ ⊚ | |
| ((swap⋆ ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ swap⋆) ⊗ id↔) ⊚ | |
| assocr⋆) | |
| ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₂ (inj₁ (tt , 𝔽 , 𝔽)) ⟧⟫ | |
| ∷ | |
| ⟪ ⇒ ∣ | |
| id↔ ⊚ | |
| ((id↔ ⊕ | |
| (id↔ ⊗ | |
| ((id↔ ⊗ swap₊) ⊚ | |
| (swap⋆ ⊚ dist ⊚ (swap⋆ ⊕ swap⋆)) ⊚ | |
| ((swap₊ ⊗ id↔) ⊕ id↔) ⊚ (swap⋆ ⊕ swap⋆) ⊚ factor ⊚ swap⋆))) | |
| ⊕ id↔) | |
| ⊚ | |
| (factor ⊕ id↔) ⊚ | |
| ((assocl⋆ ⊚ | |
| (swap⋆ ⊗ id↔) ⊚ | |
| assocr⋆ ⊚ | |
| dist ⊚ | |
| ((id↔ ⊗ | |
| ((swap⋆ ⊚ dist ⊚ (swap⋆ ⊕ swap⋆)) ⊚ | |
| (id↔ ⊕ (swap₊ ⊗ id↔)) ⊚ (swap⋆ ⊕ swap⋆) ⊚ factor ⊚ swap⋆)) | |
| ⊕ (id↔ ⊗ (swap₊ ⊗ id↔))) | |
| ⊚ factor ⊚ assocl⋆ ⊚ (swap⋆ ⊗ id↔) ⊚ assocr⋆) | |
| ⊕ id↔) | |
| ⊚ | |
| (((id↔ ⊗ ((dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ (swap₊ ⊗ id↔))) | |
| ⊚ | |
| (assocl⋆ ⊚ | |
| ((swap⋆ ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ swap⋆) ⊗ id↔) ⊚ | |
| assocr⋆) | |
| ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₁ (inj₂ (tt , 𝔽 , 𝔽)) ⟧⟫ | |
| ∷ | |
| ⟪ ⇒ ∣ | |
| ((id↔ ⊕ | |
| (id↔ ⊗ | |
| ((id↔ ⊗ swap₊) ⊚ | |
| (swap⋆ ⊚ dist ⊚ (swap⋆ ⊕ swap⋆)) ⊚ | |
| ((swap₊ ⊗ id↔) ⊕ id↔) ⊚ (swap⋆ ⊕ swap⋆) ⊚ factor ⊚ swap⋆))) | |
| ⊕ id↔) | |
| ⊚ | |
| (factor ⊕ id↔) ⊚ | |
| ((assocl⋆ ⊚ | |
| (swap⋆ ⊗ id↔) ⊚ | |
| assocr⋆ ⊚ | |
| dist ⊚ | |
| ((id↔ ⊗ | |
| ((swap⋆ ⊚ dist ⊚ (swap⋆ ⊕ swap⋆)) ⊚ | |
| (id↔ ⊕ (swap₊ ⊗ id↔)) ⊚ (swap⋆ ⊕ swap⋆) ⊚ factor ⊚ swap⋆)) | |
| ⊕ (id↔ ⊗ (swap₊ ⊗ id↔))) | |
| ⊚ factor ⊚ assocl⋆ ⊚ (swap⋆ ⊗ id↔) ⊚ assocr⋆) | |
| ⊕ id↔) | |
| ⊚ | |
| (((id↔ ⊗ ((dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ (swap₊ ⊗ id↔))) | |
| ⊚ | |
| (assocl⋆ ⊚ | |
| ((swap⋆ ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ swap⋆) ⊗ id↔) ⊚ | |
| assocr⋆) | |
| ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₁ (inj₂ (tt , 𝔽 , 𝔽)) ⟧⟫ | |
| ∷ | |
| ⟪ ⇒ ∣ | |
| ((id↔ ⊕ | |
| (id↔ ⊗ | |
| ((id↔ ⊗ id↔) ⊚ | |
| (swap⋆ ⊚ dist ⊚ (swap⋆ ⊕ swap⋆)) ⊚ | |
| ((swap₊ ⊗ id↔) ⊕ id↔) ⊚ (swap⋆ ⊕ swap⋆) ⊚ factor ⊚ swap⋆))) | |
| ⊕ id↔) | |
| ⊚ | |
| (factor ⊕ id↔) ⊚ | |
| ((assocl⋆ ⊚ | |
| (swap⋆ ⊗ id↔) ⊚ | |
| assocr⋆ ⊚ | |
| dist ⊚ | |
| ((id↔ ⊗ | |
| ((swap⋆ ⊚ dist ⊚ (swap⋆ ⊕ swap⋆)) ⊚ | |
| (id↔ ⊕ (swap₊ ⊗ id↔)) ⊚ (swap⋆ ⊕ swap⋆) ⊚ factor ⊚ swap⋆)) | |
| ⊕ (id↔ ⊗ (swap₊ ⊗ id↔))) | |
| ⊚ factor ⊚ assocl⋆ ⊚ (swap⋆ ⊗ id↔) ⊚ assocr⋆) | |
| ⊕ id↔) | |
| ⊚ | |
| (((id↔ ⊗ ((dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ (swap₊ ⊗ id↔))) | |
| ⊚ | |
| (assocl⋆ ⊚ | |
| ((swap⋆ ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ swap⋆) ⊗ id↔) ⊚ | |
| assocr⋆) | |
| ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₁ (inj₂ (tt , 𝔽 , 𝕋)) ⟧⟫ | |
| ∷ | |
| ⟪ ⇒ ∣ | |
| ((id↔ ⊕ | |
| (id↔ ⊗ | |
| (id↔ ⊚ | |
| (swap⋆ ⊚ dist ⊚ (swap⋆ ⊕ swap⋆)) ⊚ | |
| ((swap₊ ⊗ id↔) ⊕ id↔) ⊚ (swap⋆ ⊕ swap⋆) ⊚ factor ⊚ swap⋆))) | |
| ⊕ id↔) | |
| ⊚ | |
| (factor ⊕ id↔) ⊚ | |
| ((assocl⋆ ⊚ | |
| (swap⋆ ⊗ id↔) ⊚ | |
| assocr⋆ ⊚ | |
| dist ⊚ | |
| ((id↔ ⊗ | |
| ((swap⋆ ⊚ dist ⊚ (swap⋆ ⊕ swap⋆)) ⊚ | |
| (id↔ ⊕ (swap₊ ⊗ id↔)) ⊚ (swap⋆ ⊕ swap⋆) ⊚ factor ⊚ swap⋆)) | |
| ⊕ (id↔ ⊗ (swap₊ ⊗ id↔))) | |
| ⊚ factor ⊚ assocl⋆ ⊚ (swap⋆ ⊗ id↔) ⊚ assocr⋆) | |
| ⊕ id↔) | |
| ⊚ | |
| (((id↔ ⊗ ((dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ (swap₊ ⊗ id↔))) | |
| ⊚ | |
| (assocl⋆ ⊚ | |
| ((swap⋆ ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ swap⋆) ⊗ id↔) ⊚ | |
| assocr⋆) | |
| ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₁ (inj₂ (tt , 𝔽 , 𝕋)) ⟧⟫ | |
| ∷ | |
| ⟪ ⇒ ∣ | |
| ((id↔ ⊕ | |
| (id↔ ⊗ | |
| ((swap⋆ ⊚ dist ⊚ (swap⋆ ⊕ swap⋆)) ⊚ | |
| ((swap₊ ⊗ id↔) ⊕ id↔) ⊚ (swap⋆ ⊕ swap⋆) ⊚ factor ⊚ swap⋆))) | |
| ⊕ id↔) | |
| ⊚ | |
| (factor ⊕ id↔) ⊚ | |
| ((assocl⋆ ⊚ | |
| (swap⋆ ⊗ id↔) ⊚ | |
| assocr⋆ ⊚ | |
| dist ⊚ | |
| ((id↔ ⊗ | |
| ((swap⋆ ⊚ dist ⊚ (swap⋆ ⊕ swap⋆)) ⊚ | |
| (id↔ ⊕ (swap₊ ⊗ id↔)) ⊚ (swap⋆ ⊕ swap⋆) ⊚ factor ⊚ swap⋆)) | |
| ⊕ (id↔ ⊗ (swap₊ ⊗ id↔))) | |
| ⊚ factor ⊚ assocl⋆ ⊚ (swap⋆ ⊗ id↔) ⊚ assocr⋆) | |
| ⊕ id↔) | |
| ⊚ | |
| (((id↔ ⊗ ((dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ (swap₊ ⊗ id↔))) | |
| ⊚ | |
| (assocl⋆ ⊚ | |
| ((swap⋆ ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ swap⋆) ⊗ id↔) ⊚ | |
| assocr⋆) | |
| ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₁ (inj₂ (tt , 𝔽 , 𝕋)) ⟧⟫ | |
| ∷ | |
| ⟪ ⇒ ∣ | |
| ((id↔ ⊕ | |
| (id↔ ⊗ | |
| ((id↔ ⊚ dist ⊚ (swap⋆ ⊕ swap⋆)) ⊚ | |
| ((swap₊ ⊗ id↔) ⊕ id↔) ⊚ (swap⋆ ⊕ swap⋆) ⊚ factor ⊚ swap⋆))) | |
| ⊕ id↔) | |
| ⊚ | |
| (factor ⊕ id↔) ⊚ | |
| ((assocl⋆ ⊚ | |
| (swap⋆ ⊗ id↔) ⊚ | |
| assocr⋆ ⊚ | |
| dist ⊚ | |
| ((id↔ ⊗ | |
| ((swap⋆ ⊚ dist ⊚ (swap⋆ ⊕ swap⋆)) ⊚ | |
| (id↔ ⊕ (swap₊ ⊗ id↔)) ⊚ (swap⋆ ⊕ swap⋆) ⊚ factor ⊚ swap⋆)) | |
| ⊕ (id↔ ⊗ (swap₊ ⊗ id↔))) | |
| ⊚ factor ⊚ assocl⋆ ⊚ (swap⋆ ⊗ id↔) ⊚ assocr⋆) | |
| ⊕ id↔) | |
| ⊚ | |
| (((id↔ ⊗ ((dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ (swap₊ ⊗ id↔))) | |
| ⊚ | |
| (assocl⋆ ⊚ | |
| ((swap⋆ ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ swap⋆) ⊗ id↔) ⊚ | |
| assocr⋆) | |
| ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₁ (inj₂ (tt , 𝕋 , 𝔽)) ⟧⟫ | |
| ∷ | |
| ⟪ ⇒ ∣ | |
| ((id↔ ⊕ | |
| (id↔ ⊗ | |
| ((dist ⊚ (swap⋆ ⊕ swap⋆)) ⊚ | |
| ((swap₊ ⊗ id↔) ⊕ id↔) ⊚ (swap⋆ ⊕ swap⋆) ⊚ factor ⊚ swap⋆))) | |
| ⊕ id↔) | |
| ⊚ | |
| (factor ⊕ id↔) ⊚ | |
| ((assocl⋆ ⊚ | |
| (swap⋆ ⊗ id↔) ⊚ | |
| assocr⋆ ⊚ | |
| dist ⊚ | |
| ((id↔ ⊗ | |
| ((swap⋆ ⊚ dist ⊚ (swap⋆ ⊕ swap⋆)) ⊚ | |
| (id↔ ⊕ (swap₊ ⊗ id↔)) ⊚ (swap⋆ ⊕ swap⋆) ⊚ factor ⊚ swap⋆)) | |
| ⊕ (id↔ ⊗ (swap₊ ⊗ id↔))) | |
| ⊚ factor ⊚ assocl⋆ ⊚ (swap⋆ ⊗ id↔) ⊚ assocr⋆) | |
| ⊕ id↔) | |
| ⊚ | |
| (((id↔ ⊗ ((dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ (swap₊ ⊗ id↔))) | |
| ⊚ | |
| (assocl⋆ ⊚ | |
| ((swap⋆ ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ swap⋆) ⊗ id↔) ⊚ | |
| assocr⋆) | |
| ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₁ (inj₂ (tt , 𝕋 , 𝔽)) ⟧⟫ | |
| ∷ | |
| ⟪ ⇒ ∣ | |
| ((id↔ ⊕ | |
| (id↔ ⊗ | |
| ((id↔ ⊚ (swap⋆ ⊕ swap⋆)) ⊚ | |
| ((swap₊ ⊗ id↔) ⊕ id↔) ⊚ (swap⋆ ⊕ swap⋆) ⊚ factor ⊚ swap⋆))) | |
| ⊕ id↔) | |
| ⊚ | |
| (factor ⊕ id↔) ⊚ | |
| ((assocl⋆ ⊚ | |
| (swap⋆ ⊗ id↔) ⊚ | |
| assocr⋆ ⊚ | |
| dist ⊚ | |
| ((id↔ ⊗ | |
| ((swap⋆ ⊚ dist ⊚ (swap⋆ ⊕ swap⋆)) ⊚ | |
| (id↔ ⊕ (swap₊ ⊗ id↔)) ⊚ (swap⋆ ⊕ swap⋆) ⊚ factor ⊚ swap⋆)) | |
| ⊕ (id↔ ⊗ (swap₊ ⊗ id↔))) | |
| ⊚ factor ⊚ assocl⋆ ⊚ (swap⋆ ⊗ id↔) ⊚ assocr⋆) | |
| ⊕ id↔) | |
| ⊚ | |
| (((id↔ ⊗ ((dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ (swap₊ ⊗ id↔))) | |
| ⊚ | |
| (assocl⋆ ⊚ | |
| ((swap⋆ ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ swap⋆) ⊗ id↔) ⊚ | |
| assocr⋆) | |
| ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₁ (inj₂ (tt , inj₂ (tt , 𝔽))) ⟧⟫ | |
| ∷ | |
| ⟪ ⇒ ∣ | |
| ((id↔ ⊕ | |
| (id↔ ⊗ | |
| ((swap⋆ ⊕ swap⋆) ⊚ | |
| ((swap₊ ⊗ id↔) ⊕ id↔) ⊚ (swap⋆ ⊕ swap⋆) ⊚ factor ⊚ swap⋆))) | |
| ⊕ id↔) | |
| ⊚ | |
| (factor ⊕ id↔) ⊚ | |
| ((assocl⋆ ⊚ | |
| (swap⋆ ⊗ id↔) ⊚ | |
| assocr⋆ ⊚ | |
| dist ⊚ | |
| ((id↔ ⊗ | |
| ((swap⋆ ⊚ dist ⊚ (swap⋆ ⊕ swap⋆)) ⊚ | |
| (id↔ ⊕ (swap₊ ⊗ id↔)) ⊚ (swap⋆ ⊕ swap⋆) ⊚ factor ⊚ swap⋆)) | |
| ⊕ (id↔ ⊗ (swap₊ ⊗ id↔))) | |
| ⊚ factor ⊚ assocl⋆ ⊚ (swap⋆ ⊗ id↔) ⊚ assocr⋆) | |
| ⊕ id↔) | |
| ⊚ | |
| (((id↔ ⊗ ((dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ (swap₊ ⊗ id↔))) | |
| ⊚ | |
| (assocl⋆ ⊚ | |
| ((swap⋆ ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ swap⋆) ⊗ id↔) ⊚ | |
| assocr⋆) | |
| ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₁ (inj₂ (tt , inj₂ (tt , 𝔽))) ⟧⟫ | |
| ∷ | |
| ⟪ ⇒ ∣ | |
| ((id↔ ⊕ | |
| (id↔ ⊗ | |
| ((id↔ ⊕ swap⋆) ⊚ | |
| ((swap₊ ⊗ id↔) ⊕ id↔) ⊚ (swap⋆ ⊕ swap⋆) ⊚ factor ⊚ swap⋆))) | |
| ⊕ id↔) | |
| ⊚ | |
| (factor ⊕ id↔) ⊚ | |
| ((assocl⋆ ⊚ | |
| (swap⋆ ⊗ id↔) ⊚ | |
| assocr⋆ ⊚ | |
| dist ⊚ | |
| ((id↔ ⊗ | |
| ((swap⋆ ⊚ dist ⊚ (swap⋆ ⊕ swap⋆)) ⊚ | |
| (id↔ ⊕ (swap₊ ⊗ id↔)) ⊚ (swap⋆ ⊕ swap⋆) ⊚ factor ⊚ swap⋆)) | |
| ⊕ (id↔ ⊗ (swap₊ ⊗ id↔))) | |
| ⊚ factor ⊚ assocl⋆ ⊚ (swap⋆ ⊗ id↔) ⊚ assocr⋆) | |
| ⊕ id↔) | |
| ⊚ | |
| (((id↔ ⊗ ((dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ (swap₊ ⊗ id↔))) | |
| ⊚ | |
| (assocl⋆ ⊚ | |
| ((swap⋆ ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ swap⋆) ⊗ id↔) ⊚ | |
| assocr⋆) | |
| ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₁ (inj₂ (tt , inj₂ (tt , 𝔽))) ⟧⟫ | |
| ∷ | |
| ⟪ ⇒ ∣ | |
| ((id↔ ⊕ | |
| (id↔ ⊗ | |
| ((id↔ ⊕ id↔) ⊚ | |
| ((swap₊ ⊗ id↔) ⊕ id↔) ⊚ (swap⋆ ⊕ swap⋆) ⊚ factor ⊚ swap⋆))) | |
| ⊕ id↔) | |
| ⊚ | |
| (factor ⊕ id↔) ⊚ | |
| ((assocl⋆ ⊚ | |
| (swap⋆ ⊗ id↔) ⊚ | |
| assocr⋆ ⊚ | |
| dist ⊚ | |
| ((id↔ ⊗ | |
| ((swap⋆ ⊚ dist ⊚ (swap⋆ ⊕ swap⋆)) ⊚ | |
| (id↔ ⊕ (swap₊ ⊗ id↔)) ⊚ (swap⋆ ⊕ swap⋆) ⊚ factor ⊚ swap⋆)) | |
| ⊕ (id↔ ⊗ (swap₊ ⊗ id↔))) | |
| ⊚ factor ⊚ assocl⋆ ⊚ (swap⋆ ⊗ id↔) ⊚ assocr⋆) | |
| ⊕ id↔) | |
| ⊚ | |
| (((id↔ ⊗ ((dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ (swap₊ ⊗ id↔))) | |
| ⊚ | |
| (assocl⋆ ⊚ | |
| ((swap⋆ ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ swap⋆) ⊗ id↔) ⊚ | |
| assocr⋆) | |
| ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₁ (inj₂ (tt , inj₂ (𝔽 , tt))) ⟧⟫ | |
| ∷ | |
| ⟪ ⇒ ∣ | |
| ((id↔ ⊕ | |
| (id↔ ⊗ | |
| (id↔ ⊚ ((swap₊ ⊗ id↔) ⊕ id↔) ⊚ (swap⋆ ⊕ swap⋆) ⊚ factor ⊚ swap⋆))) | |
| ⊕ id↔) | |
| ⊚ | |
| (factor ⊕ id↔) ⊚ | |
| ((assocl⋆ ⊚ | |
| (swap⋆ ⊗ id↔) ⊚ | |
| assocr⋆ ⊚ | |
| dist ⊚ | |
| ((id↔ ⊗ | |
| ((swap⋆ ⊚ dist ⊚ (swap⋆ ⊕ swap⋆)) ⊚ | |
| (id↔ ⊕ (swap₊ ⊗ id↔)) ⊚ (swap⋆ ⊕ swap⋆) ⊚ factor ⊚ swap⋆)) | |
| ⊕ (id↔ ⊗ (swap₊ ⊗ id↔))) | |
| ⊚ factor ⊚ assocl⋆ ⊚ (swap⋆ ⊗ id↔) ⊚ assocr⋆) | |
| ⊕ id↔) | |
| ⊚ | |
| (((id↔ ⊗ ((dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ (swap₊ ⊗ id↔))) | |
| ⊚ | |
| (assocl⋆ ⊚ | |
| ((swap⋆ ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ swap⋆) ⊗ id↔) ⊚ | |
| assocr⋆) | |
| ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₁ (inj₂ (tt , inj₂ (𝔽 , tt))) ⟧⟫ | |
| ∷ | |
| ⟪ ⇒ ∣ | |
| ((id↔ ⊕ | |
| (id↔ ⊗ (((swap₊ ⊗ id↔) ⊕ id↔) ⊚ (swap⋆ ⊕ swap⋆) ⊚ factor ⊚ swap⋆))) | |
| ⊕ id↔) | |
| ⊚ | |
| (factor ⊕ id↔) ⊚ | |
| ((assocl⋆ ⊚ | |
| (swap⋆ ⊗ id↔) ⊚ | |
| assocr⋆ ⊚ | |
| dist ⊚ | |
| ((id↔ ⊗ | |
| ((swap⋆ ⊚ dist ⊚ (swap⋆ ⊕ swap⋆)) ⊚ | |
| (id↔ ⊕ (swap₊ ⊗ id↔)) ⊚ (swap⋆ ⊕ swap⋆) ⊚ factor ⊚ swap⋆)) | |
| ⊕ (id↔ ⊗ (swap₊ ⊗ id↔))) | |
| ⊚ factor ⊚ assocl⋆ ⊚ (swap⋆ ⊗ id↔) ⊚ assocr⋆) | |
| ⊕ id↔) | |
| ⊚ | |
| (((id↔ ⊗ ((dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ (swap₊ ⊗ id↔))) | |
| ⊚ | |
| (assocl⋆ ⊚ | |
| ((swap⋆ ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ swap⋆) ⊗ id↔) ⊚ | |
| assocr⋆) | |
| ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₁ (inj₂ (tt , inj₂ (𝔽 , tt))) ⟧⟫ | |
| ∷ | |
| ⟪ ⇒ ∣ | |
| ((id↔ ⊕ | |
| (id↔ ⊗ (((id↔ ⊗ id↔) ⊕ id↔) ⊚ (swap⋆ ⊕ swap⋆) ⊚ factor ⊚ swap⋆))) | |
| ⊕ id↔) | |
| ⊚ | |
| (factor ⊕ id↔) ⊚ | |
| ((assocl⋆ ⊚ | |
| (swap⋆ ⊗ id↔) ⊚ | |
| assocr⋆ ⊚ | |
| dist ⊚ | |
| ((id↔ ⊗ | |
| ((swap⋆ ⊚ dist ⊚ (swap⋆ ⊕ swap⋆)) ⊚ | |
| (id↔ ⊕ (swap₊ ⊗ id↔)) ⊚ (swap⋆ ⊕ swap⋆) ⊚ factor ⊚ swap⋆)) | |
| ⊕ (id↔ ⊗ (swap₊ ⊗ id↔))) | |
| ⊚ factor ⊚ assocl⋆ ⊚ (swap⋆ ⊗ id↔) ⊚ assocr⋆) | |
| ⊕ id↔) | |
| ⊚ | |
| (((id↔ ⊗ ((dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ (swap₊ ⊗ id↔))) | |
| ⊚ | |
| (assocl⋆ ⊚ | |
| ((swap⋆ ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ swap⋆) ⊗ id↔) ⊚ | |
| assocr⋆) | |
| ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₁ (inj₂ (tt , inj₂ (𝔽 , tt))) ⟧⟫ | |
| ∷ | |
| ⟪ ⇒ ∣ | |
| ((id↔ ⊕ (id↔ ⊗ ((id↔ ⊕ id↔) ⊚ (swap⋆ ⊕ swap⋆) ⊚ factor ⊚ swap⋆))) ⊕ | |
| id↔) | |
| ⊚ | |
| (factor ⊕ id↔) ⊚ | |
| ((assocl⋆ ⊚ | |
| (swap⋆ ⊗ id↔) ⊚ | |
| assocr⋆ ⊚ | |
| dist ⊚ | |
| ((id↔ ⊗ | |
| ((swap⋆ ⊚ dist ⊚ (swap⋆ ⊕ swap⋆)) ⊚ | |
| (id↔ ⊕ (swap₊ ⊗ id↔)) ⊚ (swap⋆ ⊕ swap⋆) ⊚ factor ⊚ swap⋆)) | |
| ⊕ (id↔ ⊗ (swap₊ ⊗ id↔))) | |
| ⊚ factor ⊚ assocl⋆ ⊚ (swap⋆ ⊗ id↔) ⊚ assocr⋆) | |
| ⊕ id↔) | |
| ⊚ | |
| (((id↔ ⊗ ((dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ (swap₊ ⊗ id↔))) | |
| ⊚ | |
| (assocl⋆ ⊚ | |
| ((swap⋆ ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ swap⋆) ⊗ id↔) ⊚ | |
| assocr⋆) | |
| ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₁ (inj₂ (tt , inj₂ (𝔽 , tt))) ⟧⟫ | |
| ∷ | |
| ⟪ ⇒ ∣ | |
| ((id↔ ⊕ (id↔ ⊗ (id↔ ⊚ (swap⋆ ⊕ swap⋆) ⊚ factor ⊚ swap⋆))) ⊕ id↔) ⊚ | |
| (factor ⊕ id↔) ⊚ | |
| ((assocl⋆ ⊚ | |
| (swap⋆ ⊗ id↔) ⊚ | |
| assocr⋆ ⊚ | |
| dist ⊚ | |
| ((id↔ ⊗ | |
| ((swap⋆ ⊚ dist ⊚ (swap⋆ ⊕ swap⋆)) ⊚ | |
| (id↔ ⊕ (swap₊ ⊗ id↔)) ⊚ (swap⋆ ⊕ swap⋆) ⊚ factor ⊚ swap⋆)) | |
| ⊕ (id↔ ⊗ (swap₊ ⊗ id↔))) | |
| ⊚ factor ⊚ assocl⋆ ⊚ (swap⋆ ⊗ id↔) ⊚ assocr⋆) | |
| ⊕ id↔) | |
| ⊚ | |
| (((id↔ ⊗ ((dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ (swap₊ ⊗ id↔))) | |
| ⊚ | |
| (assocl⋆ ⊚ | |
| ((swap⋆ ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ swap⋆) ⊗ id↔) ⊚ | |
| assocr⋆) | |
| ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₁ (inj₂ (tt , inj₂ (𝔽 , tt))) ⟧⟫ | |
| ∷ | |
| ⟪ ⇒ ∣ | |
| ((id↔ ⊕ (id↔ ⊗ ((swap⋆ ⊕ swap⋆) ⊚ factor ⊚ swap⋆))) ⊕ id↔) ⊚ | |
| (factor ⊕ id↔) ⊚ | |
| ((assocl⋆ ⊚ | |
| (swap⋆ ⊗ id↔) ⊚ | |
| assocr⋆ ⊚ | |
| dist ⊚ | |
| ((id↔ ⊗ | |
| ((swap⋆ ⊚ dist ⊚ (swap⋆ ⊕ swap⋆)) ⊚ | |
| (id↔ ⊕ (swap₊ ⊗ id↔)) ⊚ (swap⋆ ⊕ swap⋆) ⊚ factor ⊚ swap⋆)) | |
| ⊕ (id↔ ⊗ (swap₊ ⊗ id↔))) | |
| ⊚ factor ⊚ assocl⋆ ⊚ (swap⋆ ⊗ id↔) ⊚ assocr⋆) | |
| ⊕ id↔) | |
| ⊚ | |
| (((id↔ ⊗ ((dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ (swap₊ ⊗ id↔))) | |
| ⊚ | |
| (assocl⋆ ⊚ | |
| ((swap⋆ ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ swap⋆) ⊗ id↔) ⊚ | |
| assocr⋆) | |
| ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₁ (inj₂ (tt , inj₂ (𝔽 , tt))) ⟧⟫ | |
| ∷ | |
| ⟪ ⇒ ∣ | |
| ((id↔ ⊕ (id↔ ⊗ ((id↔ ⊕ swap⋆) ⊚ factor ⊚ swap⋆))) ⊕ id↔) ⊚ | |
| (factor ⊕ id↔) ⊚ | |
| ((assocl⋆ ⊚ | |
| (swap⋆ ⊗ id↔) ⊚ | |
| assocr⋆ ⊚ | |
| dist ⊚ | |
| ((id↔ ⊗ | |
| ((swap⋆ ⊚ dist ⊚ (swap⋆ ⊕ swap⋆)) ⊚ | |
| (id↔ ⊕ (swap₊ ⊗ id↔)) ⊚ (swap⋆ ⊕ swap⋆) ⊚ factor ⊚ swap⋆)) | |
| ⊕ (id↔ ⊗ (swap₊ ⊗ id↔))) | |
| ⊚ factor ⊚ assocl⋆ ⊚ (swap⋆ ⊗ id↔) ⊚ assocr⋆) | |
| ⊕ id↔) | |
| ⊚ | |
| (((id↔ ⊗ ((dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ (swap₊ ⊗ id↔))) | |
| ⊚ | |
| (assocl⋆ ⊚ | |
| ((swap⋆ ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ swap⋆) ⊗ id↔) ⊚ | |
| assocr⋆) | |
| ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₁ (inj₂ (tt , inj₂ (𝔽 , tt))) ⟧⟫ | |
| ∷ | |
| ⟪ ⇒ ∣ | |
| ((id↔ ⊕ (id↔ ⊗ ((id↔ ⊕ id↔) ⊚ factor ⊚ swap⋆))) ⊕ id↔) ⊚ | |
| (factor ⊕ id↔) ⊚ | |
| ((assocl⋆ ⊚ | |
| (swap⋆ ⊗ id↔) ⊚ | |
| assocr⋆ ⊚ | |
| dist ⊚ | |
| ((id↔ ⊗ | |
| ((swap⋆ ⊚ dist ⊚ (swap⋆ ⊕ swap⋆)) ⊚ | |
| (id↔ ⊕ (swap₊ ⊗ id↔)) ⊚ (swap⋆ ⊕ swap⋆) ⊚ factor ⊚ swap⋆)) | |
| ⊕ (id↔ ⊗ (swap₊ ⊗ id↔))) | |
| ⊚ factor ⊚ assocl⋆ ⊚ (swap⋆ ⊗ id↔) ⊚ assocr⋆) | |
| ⊕ id↔) | |
| ⊚ | |
| (((id↔ ⊗ ((dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ (swap₊ ⊗ id↔))) | |
| ⊚ | |
| (assocl⋆ ⊚ | |
| ((swap⋆ ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ swap⋆) ⊗ id↔) ⊚ | |
| assocr⋆) | |
| ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₁ (inj₂ (tt , inj₂ (tt , 𝔽))) ⟧⟫ | |
| ∷ | |
| ⟪ ⇒ ∣ | |
| ((id↔ ⊕ (id↔ ⊗ (id↔ ⊚ factor ⊚ swap⋆))) ⊕ id↔) ⊚ | |
| (factor ⊕ id↔) ⊚ | |
| ((assocl⋆ ⊚ | |
| (swap⋆ ⊗ id↔) ⊚ | |
| assocr⋆ ⊚ | |
| dist ⊚ | |
| ((id↔ ⊗ | |
| ((swap⋆ ⊚ dist ⊚ (swap⋆ ⊕ swap⋆)) ⊚ | |
| (id↔ ⊕ (swap₊ ⊗ id↔)) ⊚ (swap⋆ ⊕ swap⋆) ⊚ factor ⊚ swap⋆)) | |
| ⊕ (id↔ ⊗ (swap₊ ⊗ id↔))) | |
| ⊚ factor ⊚ assocl⋆ ⊚ (swap⋆ ⊗ id↔) ⊚ assocr⋆) | |
| ⊕ id↔) | |
| ⊚ | |
| (((id↔ ⊗ ((dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ (swap₊ ⊗ id↔))) | |
| ⊚ | |
| (assocl⋆ ⊚ | |
| ((swap⋆ ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ swap⋆) ⊗ id↔) ⊚ | |
| assocr⋆) | |
| ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₁ (inj₂ (tt , inj₂ (tt , 𝔽))) ⟧⟫ | |
| ∷ | |
| ⟪ ⇒ ∣ | |
| ((id↔ ⊕ (id↔ ⊗ (factor ⊚ swap⋆))) ⊕ id↔) ⊚ | |
| (factor ⊕ id↔) ⊚ | |
| ((assocl⋆ ⊚ | |
| (swap⋆ ⊗ id↔) ⊚ | |
| assocr⋆ ⊚ | |
| dist ⊚ | |
| ((id↔ ⊗ | |
| ((swap⋆ ⊚ dist ⊚ (swap⋆ ⊕ swap⋆)) ⊚ | |
| (id↔ ⊕ (swap₊ ⊗ id↔)) ⊚ (swap⋆ ⊕ swap⋆) ⊚ factor ⊚ swap⋆)) | |
| ⊕ (id↔ ⊗ (swap₊ ⊗ id↔))) | |
| ⊚ factor ⊚ assocl⋆ ⊚ (swap⋆ ⊗ id↔) ⊚ assocr⋆) | |
| ⊕ id↔) | |
| ⊚ | |
| (((id↔ ⊗ ((dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ (swap₊ ⊗ id↔))) | |
| ⊚ | |
| (assocl⋆ ⊚ | |
| ((swap⋆ ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ swap⋆) ⊗ id↔) ⊚ | |
| assocr⋆) | |
| ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₁ (inj₂ (tt , inj₂ (tt , 𝔽))) ⟧⟫ | |
| ∷ | |
| ⟪ ⇒ ∣ | |
| ((id↔ ⊕ (id↔ ⊗ (id↔ ⊚ swap⋆))) ⊕ id↔) ⊚ | |
| (factor ⊕ id↔) ⊚ | |
| ((assocl⋆ ⊚ | |
| (swap⋆ ⊗ id↔) ⊚ | |
| assocr⋆ ⊚ | |
| dist ⊚ | |
| ((id↔ ⊗ | |
| ((swap⋆ ⊚ dist ⊚ (swap⋆ ⊕ swap⋆)) ⊚ | |
| (id↔ ⊕ (swap₊ ⊗ id↔)) ⊚ (swap⋆ ⊕ swap⋆) ⊚ factor ⊚ swap⋆)) | |
| ⊕ (id↔ ⊗ (swap₊ ⊗ id↔))) | |
| ⊚ factor ⊚ assocl⋆ ⊚ (swap⋆ ⊗ id↔) ⊚ assocr⋆) | |
| ⊕ id↔) | |
| ⊚ | |
| (((id↔ ⊗ ((dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ (swap₊ ⊗ id↔))) | |
| ⊚ | |
| (assocl⋆ ⊚ | |
| ((swap⋆ ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ swap⋆) ⊗ id↔) ⊚ | |
| assocr⋆) | |
| ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₁ (inj₂ (tt , 𝕋 , 𝔽)) ⟧⟫ | |
| ∷ | |
| ⟪ ⇒ ∣ | |
| ((id↔ ⊕ (id↔ ⊗ swap⋆)) ⊕ id↔) ⊚ | |
| (factor ⊕ id↔) ⊚ | |
| ((assocl⋆ ⊚ | |
| (swap⋆ ⊗ id↔) ⊚ | |
| assocr⋆ ⊚ | |
| dist ⊚ | |
| ((id↔ ⊗ | |
| ((swap⋆ ⊚ dist ⊚ (swap⋆ ⊕ swap⋆)) ⊚ | |
| (id↔ ⊕ (swap₊ ⊗ id↔)) ⊚ (swap⋆ ⊕ swap⋆) ⊚ factor ⊚ swap⋆)) | |
| ⊕ (id↔ ⊗ (swap₊ ⊗ id↔))) | |
| ⊚ factor ⊚ assocl⋆ ⊚ (swap⋆ ⊗ id↔) ⊚ assocr⋆) | |
| ⊕ id↔) | |
| ⊚ | |
| (((id↔ ⊗ ((dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ (swap₊ ⊗ id↔))) | |
| ⊚ | |
| (assocl⋆ ⊚ | |
| ((swap⋆ ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ swap⋆) ⊗ id↔) ⊚ | |
| assocr⋆) | |
| ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₁ (inj₂ (tt , 𝕋 , 𝔽)) ⟧⟫ | |
| ∷ | |
| ⟪ ⇒ ∣ | |
| ((id↔ ⊕ (id↔ ⊗ id↔)) ⊕ id↔) ⊚ | |
| (factor ⊕ id↔) ⊚ | |
| ((assocl⋆ ⊚ | |
| (swap⋆ ⊗ id↔) ⊚ | |
| assocr⋆ ⊚ | |
| dist ⊚ | |
| ((id↔ ⊗ | |
| ((swap⋆ ⊚ dist ⊚ (swap⋆ ⊕ swap⋆)) ⊚ | |
| (id↔ ⊕ (swap₊ ⊗ id↔)) ⊚ (swap⋆ ⊕ swap⋆) ⊚ factor ⊚ swap⋆)) | |
| ⊕ (id↔ ⊗ (swap₊ ⊗ id↔))) | |
| ⊚ factor ⊚ assocl⋆ ⊚ (swap⋆ ⊗ id↔) ⊚ assocr⋆) | |
| ⊕ id↔) | |
| ⊚ | |
| (((id↔ ⊗ ((dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ (swap₊ ⊗ id↔))) | |
| ⊚ | |
| (assocl⋆ ⊚ | |
| ((swap⋆ ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ swap⋆) ⊗ id↔) ⊚ | |
| assocr⋆) | |
| ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₁ (inj₂ (tt , 𝔽 , 𝕋)) ⟧⟫ | |
| ∷ | |
| ⟪ ⇒ ∣ | |
| ((id↔ ⊕ id↔) ⊕ id↔) ⊚ | |
| (factor ⊕ id↔) ⊚ | |
| ((assocl⋆ ⊚ | |
| (swap⋆ ⊗ id↔) ⊚ | |
| assocr⋆ ⊚ | |
| dist ⊚ | |
| ((id↔ ⊗ | |
| ((swap⋆ ⊚ dist ⊚ (swap⋆ ⊕ swap⋆)) ⊚ | |
| (id↔ ⊕ (swap₊ ⊗ id↔)) ⊚ (swap⋆ ⊕ swap⋆) ⊚ factor ⊚ swap⋆)) | |
| ⊕ (id↔ ⊗ (swap₊ ⊗ id↔))) | |
| ⊚ factor ⊚ assocl⋆ ⊚ (swap⋆ ⊗ id↔) ⊚ assocr⋆) | |
| ⊕ id↔) | |
| ⊚ | |
| (((id↔ ⊗ ((dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ (swap₊ ⊗ id↔))) | |
| ⊚ | |
| (assocl⋆ ⊚ | |
| ((swap⋆ ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ swap⋆) ⊗ id↔) ⊚ | |
| assocr⋆) | |
| ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₁ (inj₂ (tt , 𝔽 , 𝕋)) ⟧⟫ | |
| ∷ | |
| ⟪ ⇒ ∣ | |
| (id↔ ⊕ id↔) ⊚ | |
| (factor ⊕ id↔) ⊚ | |
| ((assocl⋆ ⊚ | |
| (swap⋆ ⊗ id↔) ⊚ | |
| assocr⋆ ⊚ | |
| dist ⊚ | |
| ((id↔ ⊗ | |
| ((swap⋆ ⊚ dist ⊚ (swap⋆ ⊕ swap⋆)) ⊚ | |
| (id↔ ⊕ (swap₊ ⊗ id↔)) ⊚ (swap⋆ ⊕ swap⋆) ⊚ factor ⊚ swap⋆)) | |
| ⊕ (id↔ ⊗ (swap₊ ⊗ id↔))) | |
| ⊚ factor ⊚ assocl⋆ ⊚ (swap⋆ ⊗ id↔) ⊚ assocr⋆) | |
| ⊕ id↔) | |
| ⊚ | |
| (((id↔ ⊗ ((dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ (swap₊ ⊗ id↔))) | |
| ⊚ | |
| (assocl⋆ ⊚ | |
| ((swap⋆ ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ swap⋆) ⊗ id↔) ⊚ | |
| assocr⋆) | |
| ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₁ (inj₂ (tt , 𝔽 , 𝕋)) ⟧⟫ | |
| ∷ | |
| ⟪ ⇒ ∣ | |
| id↔ ⊚ | |
| (factor ⊕ id↔) ⊚ | |
| ((assocl⋆ ⊚ | |
| (swap⋆ ⊗ id↔) ⊚ | |
| assocr⋆ ⊚ | |
| dist ⊚ | |
| ((id↔ ⊗ | |
| ((swap⋆ ⊚ dist ⊚ (swap⋆ ⊕ swap⋆)) ⊚ | |
| (id↔ ⊕ (swap₊ ⊗ id↔)) ⊚ (swap⋆ ⊕ swap⋆) ⊚ factor ⊚ swap⋆)) | |
| ⊕ (id↔ ⊗ (swap₊ ⊗ id↔))) | |
| ⊚ factor ⊚ assocl⋆ ⊚ (swap⋆ ⊗ id↔) ⊚ assocr⋆) | |
| ⊕ id↔) | |
| ⊚ | |
| (((id↔ ⊗ ((dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ (swap₊ ⊗ id↔))) | |
| ⊚ | |
| (assocl⋆ ⊚ | |
| ((swap⋆ ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ swap⋆) ⊗ id↔) ⊚ | |
| assocr⋆) | |
| ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₁ (inj₂ (tt , 𝔽 , 𝕋)) ⟧⟫ | |
| ∷ | |
| ⟪ ⇒ ∣ | |
| (factor ⊕ id↔) ⊚ | |
| ((assocl⋆ ⊚ | |
| (swap⋆ ⊗ id↔) ⊚ | |
| assocr⋆ ⊚ | |
| dist ⊚ | |
| ((id↔ ⊗ | |
| ((swap⋆ ⊚ dist ⊚ (swap⋆ ⊕ swap⋆)) ⊚ | |
| (id↔ ⊕ (swap₊ ⊗ id↔)) ⊚ (swap⋆ ⊕ swap⋆) ⊚ factor ⊚ swap⋆)) | |
| ⊕ (id↔ ⊗ (swap₊ ⊗ id↔))) | |
| ⊚ factor ⊚ assocl⋆ ⊚ (swap⋆ ⊗ id↔) ⊚ assocr⋆) | |
| ⊕ id↔) | |
| ⊚ | |
| (((id↔ ⊗ ((dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ (swap₊ ⊗ id↔))) | |
| ⊚ | |
| (assocl⋆ ⊚ | |
| ((swap⋆ ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ swap⋆) ⊗ id↔) ⊚ | |
| assocr⋆) | |
| ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₁ (inj₂ (tt , 𝔽 , 𝕋)) ⟧⟫ | |
| ∷ | |
| ⟪ ⇒ ∣ | |
| (id↔ ⊕ id↔) ⊚ | |
| ((assocl⋆ ⊚ | |
| (swap⋆ ⊗ id↔) ⊚ | |
| assocr⋆ ⊚ | |
| dist ⊚ | |
| ((id↔ ⊗ | |
| ((swap⋆ ⊚ dist ⊚ (swap⋆ ⊕ swap⋆)) ⊚ | |
| (id↔ ⊕ (swap₊ ⊗ id↔)) ⊚ (swap⋆ ⊕ swap⋆) ⊚ factor ⊚ swap⋆)) | |
| ⊕ (id↔ ⊗ (swap₊ ⊗ id↔))) | |
| ⊚ factor ⊚ assocl⋆ ⊚ (swap⋆ ⊗ id↔) ⊚ assocr⋆) | |
| ⊕ id↔) | |
| ⊚ | |
| (((id↔ ⊗ ((dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ (swap₊ ⊗ id↔))) | |
| ⊚ | |
| (assocl⋆ ⊚ | |
| ((swap⋆ ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ swap⋆) ⊗ id↔) ⊚ | |
| assocr⋆) | |
| ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₁ (𝕋 , 𝔽 , 𝕋) ⟧⟫ | |
| ∷ | |
| ⟪ ⇒ ∣ | |
| id↔ ⊚ | |
| ((assocl⋆ ⊚ | |
| (swap⋆ ⊗ id↔) ⊚ | |
| assocr⋆ ⊚ | |
| dist ⊚ | |
| ((id↔ ⊗ | |
| ((swap⋆ ⊚ dist ⊚ (swap⋆ ⊕ swap⋆)) ⊚ | |
| (id↔ ⊕ (swap₊ ⊗ id↔)) ⊚ (swap⋆ ⊕ swap⋆) ⊚ factor ⊚ swap⋆)) | |
| ⊕ (id↔ ⊗ (swap₊ ⊗ id↔))) | |
| ⊚ factor ⊚ assocl⋆ ⊚ (swap⋆ ⊗ id↔) ⊚ assocr⋆) | |
| ⊕ id↔) | |
| ⊚ | |
| (((id↔ ⊗ ((dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ (swap₊ ⊗ id↔))) | |
| ⊚ | |
| (assocl⋆ ⊚ | |
| ((swap⋆ ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ swap⋆) ⊗ id↔) ⊚ | |
| assocr⋆) | |
| ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₁ (𝕋 , 𝔽 , 𝕋) ⟧⟫ | |
| ∷ | |
| ⟪ ⇒ ∣ | |
| ((assocl⋆ ⊚ | |
| (swap⋆ ⊗ id↔) ⊚ | |
| assocr⋆ ⊚ | |
| dist ⊚ | |
| ((id↔ ⊗ | |
| ((swap⋆ ⊚ dist ⊚ (swap⋆ ⊕ swap⋆)) ⊚ | |
| (id↔ ⊕ (swap₊ ⊗ id↔)) ⊚ (swap⋆ ⊕ swap⋆) ⊚ factor ⊚ swap⋆)) | |
| ⊕ (id↔ ⊗ (swap₊ ⊗ id↔))) | |
| ⊚ factor ⊚ assocl⋆ ⊚ (swap⋆ ⊗ id↔) ⊚ assocr⋆) | |
| ⊕ id↔) | |
| ⊚ | |
| (((id↔ ⊗ ((dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ (swap₊ ⊗ id↔))) | |
| ⊚ | |
| (assocl⋆ ⊚ | |
| ((swap⋆ ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ swap⋆) ⊗ id↔) ⊚ | |
| assocr⋆) | |
| ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₁ (𝕋 , 𝔽 , 𝕋) ⟧⟫ | |
| ∷ | |
| ⟪ ⇒ ∣ | |
| ((id↔ ⊚ | |
| (swap⋆ ⊗ id↔) ⊚ | |
| assocr⋆ ⊚ | |
| dist ⊚ | |
| ((id↔ ⊗ | |
| ((swap⋆ ⊚ dist ⊚ (swap⋆ ⊕ swap⋆)) ⊚ | |
| (id↔ ⊕ (swap₊ ⊗ id↔)) ⊚ (swap⋆ ⊕ swap⋆) ⊚ factor ⊚ swap⋆)) | |
| ⊕ (id↔ ⊗ (swap₊ ⊗ id↔))) | |
| ⊚ factor ⊚ assocl⋆ ⊚ (swap⋆ ⊗ id↔) ⊚ assocr⋆) | |
| ⊕ id↔) | |
| ⊚ | |
| (((id↔ ⊗ ((dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ (swap₊ ⊗ id↔))) | |
| ⊚ | |
| (assocl⋆ ⊚ | |
| ((swap⋆ ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ swap⋆) ⊗ id↔) ⊚ | |
| assocr⋆) | |
| ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₁ ((𝕋 , 𝔽) , 𝕋) ⟧⟫ | |
| ∷ | |
| ⟪ ⇒ ∣ | |
| (((swap⋆ ⊗ id↔) ⊚ | |
| assocr⋆ ⊚ | |
| dist ⊚ | |
| ((id↔ ⊗ | |
| ((swap⋆ ⊚ dist ⊚ (swap⋆ ⊕ swap⋆)) ⊚ | |
| (id↔ ⊕ (swap₊ ⊗ id↔)) ⊚ (swap⋆ ⊕ swap⋆) ⊚ factor ⊚ swap⋆)) | |
| ⊕ (id↔ ⊗ (swap₊ ⊗ id↔))) | |
| ⊚ factor ⊚ assocl⋆ ⊚ (swap⋆ ⊗ id↔) ⊚ assocr⋆) | |
| ⊕ id↔) | |
| ⊚ | |
| (((id↔ ⊗ ((dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ (swap₊ ⊗ id↔))) | |
| ⊚ | |
| (assocl⋆ ⊚ | |
| ((swap⋆ ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ swap⋆) ⊗ id↔) ⊚ | |
| assocr⋆) | |
| ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₁ ((𝕋 , 𝔽) , 𝕋) ⟧⟫ | |
| ∷ | |
| ⟪ ⇒ ∣ | |
| (((id↔ ⊗ id↔) ⊚ | |
| assocr⋆ ⊚ | |
| dist ⊚ | |
| ((id↔ ⊗ | |
| ((swap⋆ ⊚ dist ⊚ (swap⋆ ⊕ swap⋆)) ⊚ | |
| (id↔ ⊕ (swap₊ ⊗ id↔)) ⊚ (swap⋆ ⊕ swap⋆) ⊚ factor ⊚ swap⋆)) | |
| ⊕ (id↔ ⊗ (swap₊ ⊗ id↔))) | |
| ⊚ factor ⊚ assocl⋆ ⊚ (swap⋆ ⊗ id↔) ⊚ assocr⋆) | |
| ⊕ id↔) | |
| ⊚ | |
| (((id↔ ⊗ ((dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ (swap₊ ⊗ id↔))) | |
| ⊚ | |
| (assocl⋆ ⊚ | |
| ((swap⋆ ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ swap⋆) ⊗ id↔) ⊚ | |
| assocr⋆) | |
| ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₁ ((𝔽 , 𝕋) , 𝕋) ⟧⟫ | |
| ∷ | |
| ⟪ ⇒ ∣ | |
| ((id↔ ⊚ | |
| assocr⋆ ⊚ | |
| dist ⊚ | |
| ((id↔ ⊗ | |
| ((swap⋆ ⊚ dist ⊚ (swap⋆ ⊕ swap⋆)) ⊚ | |
| (id↔ ⊕ (swap₊ ⊗ id↔)) ⊚ (swap⋆ ⊕ swap⋆) ⊚ factor ⊚ swap⋆)) | |
| ⊕ (id↔ ⊗ (swap₊ ⊗ id↔))) | |
| ⊚ factor ⊚ assocl⋆ ⊚ (swap⋆ ⊗ id↔) ⊚ assocr⋆) | |
| ⊕ id↔) | |
| ⊚ | |
| (((id↔ ⊗ ((dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ (swap₊ ⊗ id↔))) | |
| ⊚ | |
| (assocl⋆ ⊚ | |
| ((swap⋆ ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ swap⋆) ⊗ id↔) ⊚ | |
| assocr⋆) | |
| ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₁ ((𝔽 , 𝕋) , 𝕋) ⟧⟫ | |
| ∷ | |
| ⟪ ⇒ ∣ | |
| ((assocr⋆ ⊚ | |
| dist ⊚ | |
| ((id↔ ⊗ | |
| ((swap⋆ ⊚ dist ⊚ (swap⋆ ⊕ swap⋆)) ⊚ | |
| (id↔ ⊕ (swap₊ ⊗ id↔)) ⊚ (swap⋆ ⊕ swap⋆) ⊚ factor ⊚ swap⋆)) | |
| ⊕ (id↔ ⊗ (swap₊ ⊗ id↔))) | |
| ⊚ factor ⊚ assocl⋆ ⊚ (swap⋆ ⊗ id↔) ⊚ assocr⋆) | |
| ⊕ id↔) | |
| ⊚ | |
| (((id↔ ⊗ ((dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ (swap₊ ⊗ id↔))) | |
| ⊚ | |
| (assocl⋆ ⊚ | |
| ((swap⋆ ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ swap⋆) ⊗ id↔) ⊚ | |
| assocr⋆) | |
| ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₁ ((𝔽 , 𝕋) , 𝕋) ⟧⟫ | |
| ∷ | |
| ⟪ ⇒ ∣ | |
| ((id↔ ⊚ | |
| dist ⊚ | |
| ((id↔ ⊗ | |
| ((swap⋆ ⊚ dist ⊚ (swap⋆ ⊕ swap⋆)) ⊚ | |
| (id↔ ⊕ (swap₊ ⊗ id↔)) ⊚ (swap⋆ ⊕ swap⋆) ⊚ factor ⊚ swap⋆)) | |
| ⊕ (id↔ ⊗ (swap₊ ⊗ id↔))) | |
| ⊚ factor ⊚ assocl⋆ ⊚ (swap⋆ ⊗ id↔) ⊚ assocr⋆) | |
| ⊕ id↔) | |
| ⊚ | |
| (((id↔ ⊗ ((dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ (swap₊ ⊗ id↔))) | |
| ⊚ | |
| (assocl⋆ ⊚ | |
| ((swap⋆ ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ swap⋆) ⊗ id↔) ⊚ | |
| assocr⋆) | |
| ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₁ (𝔽 , 𝕋 , 𝕋) ⟧⟫ | |
| ∷ | |
| ⟪ ⇒ ∣ | |
| ((dist ⊚ | |
| ((id↔ ⊗ | |
| ((swap⋆ ⊚ dist ⊚ (swap⋆ ⊕ swap⋆)) ⊚ | |
| (id↔ ⊕ (swap₊ ⊗ id↔)) ⊚ (swap⋆ ⊕ swap⋆) ⊚ factor ⊚ swap⋆)) | |
| ⊕ (id↔ ⊗ (swap₊ ⊗ id↔))) | |
| ⊚ factor ⊚ assocl⋆ ⊚ (swap⋆ ⊗ id↔) ⊚ assocr⋆) | |
| ⊕ id↔) | |
| ⊚ | |
| (((id↔ ⊗ ((dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ (swap₊ ⊗ id↔))) | |
| ⊚ | |
| (assocl⋆ ⊚ | |
| ((swap⋆ ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ swap⋆) ⊗ id↔) ⊚ | |
| assocr⋆) | |
| ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₁ (𝔽 , 𝕋 , 𝕋) ⟧⟫ | |
| ∷ | |
| ⟪ ⇒ ∣ | |
| ((id↔ ⊚ | |
| ((id↔ ⊗ | |
| ((swap⋆ ⊚ dist ⊚ (swap⋆ ⊕ swap⋆)) ⊚ | |
| (id↔ ⊕ (swap₊ ⊗ id↔)) ⊚ (swap⋆ ⊕ swap⋆) ⊚ factor ⊚ swap⋆)) | |
| ⊕ (id↔ ⊗ (swap₊ ⊗ id↔))) | |
| ⊚ factor ⊚ assocl⋆ ⊚ (swap⋆ ⊗ id↔) ⊚ assocr⋆) | |
| ⊕ id↔) | |
| ⊚ | |
| (((id↔ ⊗ ((dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ (swap₊ ⊗ id↔))) | |
| ⊚ | |
| (assocl⋆ ⊚ | |
| ((swap⋆ ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ swap⋆) ⊗ id↔) ⊚ | |
| assocr⋆) | |
| ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₁ (inj₁ (tt , 𝕋 , 𝕋)) ⟧⟫ | |
| ∷ | |
| ⟪ ⇒ ∣ | |
| ((((id↔ ⊗ | |
| ((swap⋆ ⊚ dist ⊚ (swap⋆ ⊕ swap⋆)) ⊚ | |
| (id↔ ⊕ (swap₊ ⊗ id↔)) ⊚ (swap⋆ ⊕ swap⋆) ⊚ factor ⊚ swap⋆)) | |
| ⊕ (id↔ ⊗ (swap₊ ⊗ id↔))) | |
| ⊚ factor ⊚ assocl⋆ ⊚ (swap⋆ ⊗ id↔) ⊚ assocr⋆) | |
| ⊕ id↔) | |
| ⊚ | |
| (((id↔ ⊗ ((dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ (swap₊ ⊗ id↔))) | |
| ⊚ | |
| (assocl⋆ ⊚ | |
| ((swap⋆ ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ swap⋆) ⊗ id↔) ⊚ | |
| assocr⋆) | |
| ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₁ (inj₁ (tt , 𝕋 , 𝕋)) ⟧⟫ | |
| ∷ | |
| ⟪ ⇒ ∣ | |
| ((((id↔ ⊗ | |
| ((id↔ ⊚ dist ⊚ (swap⋆ ⊕ swap⋆)) ⊚ | |
| (id↔ ⊕ (swap₊ ⊗ id↔)) ⊚ (swap⋆ ⊕ swap⋆) ⊚ factor ⊚ swap⋆)) | |
| ⊕ (id↔ ⊗ (swap₊ ⊗ id↔))) | |
| ⊚ factor ⊚ assocl⋆ ⊚ (swap⋆ ⊗ id↔) ⊚ assocr⋆) | |
| ⊕ id↔) | |
| ⊚ | |
| (((id↔ ⊗ ((dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ (swap₊ ⊗ id↔))) | |
| ⊚ | |
| (assocl⋆ ⊚ | |
| ((swap⋆ ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ swap⋆) ⊗ id↔) ⊚ | |
| assocr⋆) | |
| ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₁ (inj₁ (tt , 𝕋 , 𝕋)) ⟧⟫ | |
| ∷ | |
| ⟪ ⇒ ∣ | |
| ((((id↔ ⊗ | |
| ((dist ⊚ (swap⋆ ⊕ swap⋆)) ⊚ | |
| (id↔ ⊕ (swap₊ ⊗ id↔)) ⊚ (swap⋆ ⊕ swap⋆) ⊚ factor ⊚ swap⋆)) | |
| ⊕ (id↔ ⊗ (swap₊ ⊗ id↔))) | |
| ⊚ factor ⊚ assocl⋆ ⊚ (swap⋆ ⊗ id↔) ⊚ assocr⋆) | |
| ⊕ id↔) | |
| ⊚ | |
| (((id↔ ⊗ ((dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ (swap₊ ⊗ id↔))) | |
| ⊚ | |
| (assocl⋆ ⊚ | |
| ((swap⋆ ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ swap⋆) ⊗ id↔) ⊚ | |
| assocr⋆) | |
| ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₁ (inj₁ (tt , 𝕋 , 𝕋)) ⟧⟫ | |
| ∷ | |
| ⟪ ⇒ ∣ | |
| ((((id↔ ⊗ | |
| ((id↔ ⊚ (swap⋆ ⊕ swap⋆)) ⊚ | |
| (id↔ ⊕ (swap₊ ⊗ id↔)) ⊚ (swap⋆ ⊕ swap⋆) ⊚ factor ⊚ swap⋆)) | |
| ⊕ (id↔ ⊗ (swap₊ ⊗ id↔))) | |
| ⊚ factor ⊚ assocl⋆ ⊚ (swap⋆ ⊗ id↔) ⊚ assocr⋆) | |
| ⊕ id↔) | |
| ⊚ | |
| (((id↔ ⊗ ((dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ (swap₊ ⊗ id↔))) | |
| ⊚ | |
| (assocl⋆ ⊚ | |
| ((swap⋆ ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ swap⋆) ⊗ id↔) ⊚ | |
| assocr⋆) | |
| ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₁ (inj₁ (tt , inj₂ (tt , 𝕋))) ⟧⟫ | |
| ∷ | |
| ⟪ ⇒ ∣ | |
| ((((id↔ ⊗ | |
| ((swap⋆ ⊕ swap⋆) ⊚ | |
| (id↔ ⊕ (swap₊ ⊗ id↔)) ⊚ (swap⋆ ⊕ swap⋆) ⊚ factor ⊚ swap⋆)) | |
| ⊕ (id↔ ⊗ (swap₊ ⊗ id↔))) | |
| ⊚ factor ⊚ assocl⋆ ⊚ (swap⋆ ⊗ id↔) ⊚ assocr⋆) | |
| ⊕ id↔) | |
| ⊚ | |
| (((id↔ ⊗ ((dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ (swap₊ ⊗ id↔))) | |
| ⊚ | |
| (assocl⋆ ⊚ | |
| ((swap⋆ ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ swap⋆) ⊗ id↔) ⊚ | |
| assocr⋆) | |
| ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₁ (inj₁ (tt , inj₂ (tt , 𝕋))) ⟧⟫ | |
| ∷ | |
| ⟪ ⇒ ∣ | |
| ((((id↔ ⊗ | |
| ((id↔ ⊕ swap⋆) ⊚ | |
| (id↔ ⊕ (swap₊ ⊗ id↔)) ⊚ (swap⋆ ⊕ swap⋆) ⊚ factor ⊚ swap⋆)) | |
| ⊕ (id↔ ⊗ (swap₊ ⊗ id↔))) | |
| ⊚ factor ⊚ assocl⋆ ⊚ (swap⋆ ⊗ id↔) ⊚ assocr⋆) | |
| ⊕ id↔) | |
| ⊚ | |
| (((id↔ ⊗ ((dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ (swap₊ ⊗ id↔))) | |
| ⊚ | |
| (assocl⋆ ⊚ | |
| ((swap⋆ ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ swap⋆) ⊗ id↔) ⊚ | |
| assocr⋆) | |
| ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₁ (inj₁ (tt , inj₂ (tt , 𝕋))) ⟧⟫ | |
| ∷ | |
| ⟪ ⇒ ∣ | |
| ((((id↔ ⊗ | |
| ((id↔ ⊕ id↔) ⊚ | |
| (id↔ ⊕ (swap₊ ⊗ id↔)) ⊚ (swap⋆ ⊕ swap⋆) ⊚ factor ⊚ swap⋆)) | |
| ⊕ (id↔ ⊗ (swap₊ ⊗ id↔))) | |
| ⊚ factor ⊚ assocl⋆ ⊚ (swap⋆ ⊗ id↔) ⊚ assocr⋆) | |
| ⊕ id↔) | |
| ⊚ | |
| (((id↔ ⊗ ((dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ (swap₊ ⊗ id↔))) | |
| ⊚ | |
| (assocl⋆ ⊚ | |
| ((swap⋆ ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ swap⋆) ⊗ id↔) ⊚ | |
| assocr⋆) | |
| ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₁ (inj₁ (tt , inj₂ (𝕋 , tt))) ⟧⟫ | |
| ∷ | |
| ⟪ ⇒ ∣ | |
| ((((id↔ ⊗ | |
| (id↔ ⊚ (id↔ ⊕ (swap₊ ⊗ id↔)) ⊚ (swap⋆ ⊕ swap⋆) ⊚ factor ⊚ swap⋆)) | |
| ⊕ (id↔ ⊗ (swap₊ ⊗ id↔))) | |
| ⊚ factor ⊚ assocl⋆ ⊚ (swap⋆ ⊗ id↔) ⊚ assocr⋆) | |
| ⊕ id↔) | |
| ⊚ | |
| (((id↔ ⊗ ((dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ (swap₊ ⊗ id↔))) | |
| ⊚ | |
| (assocl⋆ ⊚ | |
| ((swap⋆ ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ swap⋆) ⊗ id↔) ⊚ | |
| assocr⋆) | |
| ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₁ (inj₁ (tt , inj₂ (𝕋 , tt))) ⟧⟫ | |
| ∷ | |
| ⟪ ⇒ ∣ | |
| ((((id↔ ⊗ | |
| ((id↔ ⊕ (swap₊ ⊗ id↔)) ⊚ (swap⋆ ⊕ swap⋆) ⊚ factor ⊚ swap⋆)) | |
| ⊕ (id↔ ⊗ (swap₊ ⊗ id↔))) | |
| ⊚ factor ⊚ assocl⋆ ⊚ (swap⋆ ⊗ id↔) ⊚ assocr⋆) | |
| ⊕ id↔) | |
| ⊚ | |
| (((id↔ ⊗ ((dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ (swap₊ ⊗ id↔))) | |
| ⊚ | |
| (assocl⋆ ⊚ | |
| ((swap⋆ ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ swap⋆) ⊗ id↔) ⊚ | |
| assocr⋆) | |
| ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₁ (inj₁ (tt , inj₂ (𝕋 , tt))) ⟧⟫ | |
| ∷ | |
| ⟪ ⇒ ∣ | |
| ((((id↔ ⊗ ((id↔ ⊕ (id↔ ⊗ id↔)) ⊚ (swap⋆ ⊕ swap⋆) ⊚ factor ⊚ swap⋆)) | |
| ⊕ (id↔ ⊗ (swap₊ ⊗ id↔))) | |
| ⊚ factor ⊚ assocl⋆ ⊚ (swap⋆ ⊗ id↔) ⊚ assocr⋆) | |
| ⊕ id↔) | |
| ⊚ | |
| (((id↔ ⊗ ((dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ (swap₊ ⊗ id↔))) | |
| ⊚ | |
| (assocl⋆ ⊚ | |
| ((swap⋆ ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ swap⋆) ⊗ id↔) ⊚ | |
| assocr⋆) | |
| ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₁ (inj₁ (tt , inj₂ (𝔽 , tt))) ⟧⟫ | |
| ∷ | |
| ⟪ ⇒ ∣ | |
| ((((id↔ ⊗ ((id↔ ⊕ id↔) ⊚ (swap⋆ ⊕ swap⋆) ⊚ factor ⊚ swap⋆)) ⊕ | |
| (id↔ ⊗ (swap₊ ⊗ id↔))) | |
| ⊚ factor ⊚ assocl⋆ ⊚ (swap⋆ ⊗ id↔) ⊚ assocr⋆) | |
| ⊕ id↔) | |
| ⊚ | |
| (((id↔ ⊗ ((dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ (swap₊ ⊗ id↔))) | |
| ⊚ | |
| (assocl⋆ ⊚ | |
| ((swap⋆ ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ swap⋆) ⊗ id↔) ⊚ | |
| assocr⋆) | |
| ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₁ (inj₁ (tt , inj₂ (𝔽 , tt))) ⟧⟫ | |
| ∷ | |
| ⟪ ⇒ ∣ | |
| ((((id↔ ⊗ (id↔ ⊚ (swap⋆ ⊕ swap⋆) ⊚ factor ⊚ swap⋆)) ⊕ | |
| (id↔ ⊗ (swap₊ ⊗ id↔))) | |
| ⊚ factor ⊚ assocl⋆ ⊚ (swap⋆ ⊗ id↔) ⊚ assocr⋆) | |
| ⊕ id↔) | |
| ⊚ | |
| (((id↔ ⊗ ((dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ (swap₊ ⊗ id↔))) | |
| ⊚ | |
| (assocl⋆ ⊚ | |
| ((swap⋆ ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ swap⋆) ⊗ id↔) ⊚ | |
| assocr⋆) | |
| ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₁ (inj₁ (tt , inj₂ (𝔽 , tt))) ⟧⟫ | |
| ∷ | |
| ⟪ ⇒ ∣ | |
| ((((id↔ ⊗ ((swap⋆ ⊕ swap⋆) ⊚ factor ⊚ swap⋆)) ⊕ | |
| (id↔ ⊗ (swap₊ ⊗ id↔))) | |
| ⊚ factor ⊚ assocl⋆ ⊚ (swap⋆ ⊗ id↔) ⊚ assocr⋆) | |
| ⊕ id↔) | |
| ⊚ | |
| (((id↔ ⊗ ((dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ (swap₊ ⊗ id↔))) | |
| ⊚ | |
| (assocl⋆ ⊚ | |
| ((swap⋆ ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ swap⋆) ⊗ id↔) ⊚ | |
| assocr⋆) | |
| ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₁ (inj₁ (tt , inj₂ (𝔽 , tt))) ⟧⟫ | |
| ∷ | |
| ⟪ ⇒ ∣ | |
| ((((id↔ ⊗ ((id↔ ⊕ swap⋆) ⊚ factor ⊚ swap⋆)) ⊕ | |
| (id↔ ⊗ (swap₊ ⊗ id↔))) | |
| ⊚ factor ⊚ assocl⋆ ⊚ (swap⋆ ⊗ id↔) ⊚ assocr⋆) | |
| ⊕ id↔) | |
| ⊚ | |
| (((id↔ ⊗ ((dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ (swap₊ ⊗ id↔))) | |
| ⊚ | |
| (assocl⋆ ⊚ | |
| ((swap⋆ ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ swap⋆) ⊗ id↔) ⊚ | |
| assocr⋆) | |
| ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₁ (inj₁ (tt , inj₂ (𝔽 , tt))) ⟧⟫ | |
| ∷ | |
| ⟪ ⇒ ∣ | |
| ((((id↔ ⊗ ((id↔ ⊕ id↔) ⊚ factor ⊚ swap⋆)) ⊕ (id↔ ⊗ (swap₊ ⊗ id↔))) | |
| ⊚ factor ⊚ assocl⋆ ⊚ (swap⋆ ⊗ id↔) ⊚ assocr⋆) | |
| ⊕ id↔) | |
| ⊚ | |
| (((id↔ ⊗ ((dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ (swap₊ ⊗ id↔))) | |
| ⊚ | |
| (assocl⋆ ⊚ | |
| ((swap⋆ ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ swap⋆) ⊗ id↔) ⊚ | |
| assocr⋆) | |
| ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₁ (inj₁ (tt , inj₂ (tt , 𝔽))) ⟧⟫ | |
| ∷ | |
| ⟪ ⇒ ∣ | |
| ((((id↔ ⊗ (id↔ ⊚ factor ⊚ swap⋆)) ⊕ (id↔ ⊗ (swap₊ ⊗ id↔))) ⊚ | |
| factor ⊚ assocl⋆ ⊚ (swap⋆ ⊗ id↔) ⊚ assocr⋆) | |
| ⊕ id↔) | |
| ⊚ | |
| (((id↔ ⊗ ((dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ (swap₊ ⊗ id↔))) | |
| ⊚ | |
| (assocl⋆ ⊚ | |
| ((swap⋆ ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ swap⋆) ⊗ id↔) ⊚ | |
| assocr⋆) | |
| ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₁ (inj₁ (tt , inj₂ (tt , 𝔽))) ⟧⟫ | |
| ∷ | |
| ⟪ ⇒ ∣ | |
| ((((id↔ ⊗ (factor ⊚ swap⋆)) ⊕ (id↔ ⊗ (swap₊ ⊗ id↔))) ⊚ | |
| factor ⊚ assocl⋆ ⊚ (swap⋆ ⊗ id↔) ⊚ assocr⋆) | |
| ⊕ id↔) | |
| ⊚ | |
| (((id↔ ⊗ ((dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ (swap₊ ⊗ id↔))) | |
| ⊚ | |
| (assocl⋆ ⊚ | |
| ((swap⋆ ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ swap⋆) ⊗ id↔) ⊚ | |
| assocr⋆) | |
| ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₁ (inj₁ (tt , inj₂ (tt , 𝔽))) ⟧⟫ | |
| ∷ | |
| ⟪ ⇒ ∣ | |
| ((((id↔ ⊗ (id↔ ⊚ swap⋆)) ⊕ (id↔ ⊗ (swap₊ ⊗ id↔))) ⊚ | |
| factor ⊚ assocl⋆ ⊚ (swap⋆ ⊗ id↔) ⊚ assocr⋆) | |
| ⊕ id↔) | |
| ⊚ | |
| (((id↔ ⊗ ((dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ (swap₊ ⊗ id↔))) | |
| ⊚ | |
| (assocl⋆ ⊚ | |
| ((swap⋆ ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ swap⋆) ⊗ id↔) ⊚ | |
| assocr⋆) | |
| ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₁ (inj₁ (tt , 𝕋 , 𝔽)) ⟧⟫ | |
| ∷ | |
| ⟪ ⇒ ∣ | |
| ((((id↔ ⊗ swap⋆) ⊕ (id↔ ⊗ (swap₊ ⊗ id↔))) ⊚ | |
| factor ⊚ assocl⋆ ⊚ (swap⋆ ⊗ id↔) ⊚ assocr⋆) | |
| ⊕ id↔) | |
| ⊚ | |
| (((id↔ ⊗ ((dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ (swap₊ ⊗ id↔))) | |
| ⊚ | |
| (assocl⋆ ⊚ | |
| ((swap⋆ ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ swap⋆) ⊗ id↔) ⊚ | |
| assocr⋆) | |
| ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₁ (inj₁ (tt , 𝕋 , 𝔽)) ⟧⟫ | |
| ∷ | |
| ⟪ ⇒ ∣ | |
| ((((id↔ ⊗ id↔) ⊕ (id↔ ⊗ (swap₊ ⊗ id↔))) ⊚ | |
| factor ⊚ assocl⋆ ⊚ (swap⋆ ⊗ id↔) ⊚ assocr⋆) | |
| ⊕ id↔) | |
| ⊚ | |
| (((id↔ ⊗ ((dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ (swap₊ ⊗ id↔))) | |
| ⊚ | |
| (assocl⋆ ⊚ | |
| ((swap⋆ ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ swap⋆) ⊗ id↔) ⊚ | |
| assocr⋆) | |
| ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₁ (inj₁ (tt , 𝔽 , 𝕋)) ⟧⟫ | |
| ∷ | |
| ⟪ ⇒ ∣ | |
| (((id↔ ⊕ (id↔ ⊗ (swap₊ ⊗ id↔))) ⊚ | |
| factor ⊚ assocl⋆ ⊚ (swap⋆ ⊗ id↔) ⊚ assocr⋆) | |
| ⊕ id↔) | |
| ⊚ | |
| (((id↔ ⊗ ((dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ (swap₊ ⊗ id↔))) | |
| ⊚ | |
| (assocl⋆ ⊚ | |
| ((swap⋆ ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ swap⋆) ⊗ id↔) ⊚ | |
| assocr⋆) | |
| ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₁ (inj₁ (tt , 𝔽 , 𝕋)) ⟧⟫ | |
| ∷ | |
| ⟪ ⇒ ∣ | |
| (((id↔ ⊕ (id↔ ⊗ (id↔ ⊗ id↔))) ⊚ | |
| factor ⊚ assocl⋆ ⊚ (swap⋆ ⊗ id↔) ⊚ assocr⋆) | |
| ⊕ id↔) | |
| ⊚ | |
| (((id↔ ⊗ ((dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ (swap₊ ⊗ id↔))) | |
| ⊚ | |
| (assocl⋆ ⊚ | |
| ((swap⋆ ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ swap⋆) ⊗ id↔) ⊚ | |
| assocr⋆) | |
| ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₁ (inj₁ (tt , 𝔽 , 𝕋)) ⟧⟫ | |
| ∷ | |
| ⟪ ⇒ ∣ | |
| (((id↔ ⊕ (id↔ ⊗ id↔)) ⊚ factor ⊚ assocl⋆ ⊚ (swap⋆ ⊗ id↔) ⊚ assocr⋆) | |
| ⊕ id↔) | |
| ⊚ | |
| (((id↔ ⊗ ((dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ (swap₊ ⊗ id↔))) | |
| ⊚ | |
| (assocl⋆ ⊚ | |
| ((swap⋆ ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ swap⋆) ⊗ id↔) ⊚ | |
| assocr⋆) | |
| ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₁ (inj₁ (tt , 𝔽 , 𝕋)) ⟧⟫ | |
| ∷ | |
| ⟪ ⇒ ∣ | |
| (((id↔ ⊕ id↔) ⊚ factor ⊚ assocl⋆ ⊚ (swap⋆ ⊗ id↔) ⊚ assocr⋆) ⊕ id↔) | |
| ⊚ | |
| (((id↔ ⊗ ((dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ (swap₊ ⊗ id↔))) | |
| ⊚ | |
| (assocl⋆ ⊚ | |
| ((swap⋆ ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ swap⋆) ⊗ id↔) ⊚ | |
| assocr⋆) | |
| ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₁ (inj₁ (tt , 𝔽 , 𝕋)) ⟧⟫ | |
| ∷ | |
| ⟪ ⇒ ∣ | |
| ((id↔ ⊚ factor ⊚ assocl⋆ ⊚ (swap⋆ ⊗ id↔) ⊚ assocr⋆) ⊕ id↔) ⊚ | |
| (((id↔ ⊗ ((dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ (swap₊ ⊗ id↔))) | |
| ⊚ | |
| (assocl⋆ ⊚ | |
| ((swap⋆ ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ swap⋆) ⊗ id↔) ⊚ | |
| assocr⋆) | |
| ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₁ (inj₁ (tt , 𝔽 , 𝕋)) ⟧⟫ | |
| ∷ | |
| ⟪ ⇒ ∣ | |
| ((factor ⊚ assocl⋆ ⊚ (swap⋆ ⊗ id↔) ⊚ assocr⋆) ⊕ id↔) ⊚ | |
| (((id↔ ⊗ ((dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ (swap₊ ⊗ id↔))) | |
| ⊚ | |
| (assocl⋆ ⊚ | |
| ((swap⋆ ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ swap⋆) ⊗ id↔) ⊚ | |
| assocr⋆) | |
| ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₁ (inj₁ (tt , 𝔽 , 𝕋)) ⟧⟫ | |
| ∷ | |
| ⟪ ⇒ ∣ | |
| ((id↔ ⊚ assocl⋆ ⊚ (swap⋆ ⊗ id↔) ⊚ assocr⋆) ⊕ id↔) ⊚ | |
| (((id↔ ⊗ ((dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ (swap₊ ⊗ id↔))) | |
| ⊚ | |
| (assocl⋆ ⊚ | |
| ((swap⋆ ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ swap⋆) ⊗ id↔) ⊚ | |
| assocr⋆) | |
| ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₁ (𝔽 , 𝔽 , 𝕋) ⟧⟫ | |
| ∷ | |
| ⟪ ⇒ ∣ | |
| ((assocl⋆ ⊚ (swap⋆ ⊗ id↔) ⊚ assocr⋆) ⊕ id↔) ⊚ | |
| (((id↔ ⊗ ((dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ (swap₊ ⊗ id↔))) | |
| ⊚ | |
| (assocl⋆ ⊚ | |
| ((swap⋆ ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ swap⋆) ⊗ id↔) ⊚ | |
| assocr⋆) | |
| ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₁ (𝔽 , 𝔽 , 𝕋) ⟧⟫ | |
| ∷ | |
| ⟪ ⇒ ∣ | |
| ((id↔ ⊚ (swap⋆ ⊗ id↔) ⊚ assocr⋆) ⊕ id↔) ⊚ | |
| (((id↔ ⊗ ((dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ (swap₊ ⊗ id↔))) | |
| ⊚ | |
| (assocl⋆ ⊚ | |
| ((swap⋆ ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ swap⋆) ⊗ id↔) ⊚ | |
| assocr⋆) | |
| ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₁ ((𝔽 , 𝔽) , 𝕋) ⟧⟫ | |
| ∷ | |
| ⟪ ⇒ ∣ | |
| (((swap⋆ ⊗ id↔) ⊚ assocr⋆) ⊕ id↔) ⊚ | |
| (((id↔ ⊗ ((dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ (swap₊ ⊗ id↔))) | |
| ⊚ | |
| (assocl⋆ ⊚ | |
| ((swap⋆ ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ swap⋆) ⊗ id↔) ⊚ | |
| assocr⋆) | |
| ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₁ ((𝔽 , 𝔽) , 𝕋) ⟧⟫ | |
| ∷ | |
| ⟪ ⇒ ∣ | |
| (((id↔ ⊗ id↔) ⊚ assocr⋆) ⊕ id↔) ⊚ | |
| (((id↔ ⊗ ((dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ (swap₊ ⊗ id↔))) | |
| ⊚ | |
| (assocl⋆ ⊚ | |
| ((swap⋆ ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ swap⋆) ⊗ id↔) ⊚ | |
| assocr⋆) | |
| ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₁ ((𝔽 , 𝔽) , 𝕋) ⟧⟫ | |
| ∷ | |
| ⟪ ⇒ ∣ | |
| ((id↔ ⊚ assocr⋆) ⊕ id↔) ⊚ | |
| (((id↔ ⊗ ((dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ (swap₊ ⊗ id↔))) | |
| ⊚ | |
| (assocl⋆ ⊚ | |
| ((swap⋆ ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ swap⋆) ⊗ id↔) ⊚ | |
| assocr⋆) | |
| ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₁ ((𝔽 , 𝔽) , 𝕋) ⟧⟫ | |
| ∷ | |
| ⟪ ⇒ ∣ | |
| (assocr⋆ ⊕ id↔) ⊚ | |
| (((id↔ ⊗ ((dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ (swap₊ ⊗ id↔))) | |
| ⊚ | |
| (assocl⋆ ⊚ | |
| ((swap⋆ ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ swap⋆) ⊗ id↔) ⊚ | |
| assocr⋆) | |
| ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₁ ((𝔽 , 𝔽) , 𝕋) ⟧⟫ | |
| ∷ | |
| ⟪ ⇒ ∣ | |
| (id↔ ⊕ id↔) ⊚ | |
| (((id↔ ⊗ ((dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ (swap₊ ⊗ id↔))) | |
| ⊚ | |
| (assocl⋆ ⊚ | |
| ((swap⋆ ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ swap⋆) ⊗ id↔) ⊚ | |
| assocr⋆) | |
| ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₁ (𝔽 , 𝔽 , 𝕋) ⟧⟫ | |
| ∷ | |
| ⟪ ⇒ ∣ | |
| id↔ ⊚ | |
| (((id↔ ⊗ ((dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ (swap₊ ⊗ id↔))) | |
| ⊚ | |
| (assocl⋆ ⊚ | |
| ((swap⋆ ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ swap⋆) ⊗ id↔) ⊚ | |
| assocr⋆) | |
| ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₁ (𝔽 , 𝔽 , 𝕋) ⟧⟫ | |
| ∷ | |
| ⟪ ⇒ ∣ | |
| (((id↔ ⊗ ((dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ (swap₊ ⊗ id↔))) | |
| ⊚ | |
| (assocl⋆ ⊚ | |
| ((swap⋆ ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ swap⋆) ⊗ id↔) ⊚ | |
| assocr⋆) | |
| ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₁ (𝔽 , 𝔽 , 𝕋) ⟧⟫ | |
| ∷ | |
| ⟪ ⇒ ∣ | |
| (((id↔ ⊗ ((id↔ ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ (swap₊ ⊗ id↔))) | |
| ⊚ | |
| (assocl⋆ ⊚ | |
| ((swap⋆ ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ swap⋆) ⊗ id↔) ⊚ | |
| assocr⋆) | |
| ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₁ (𝔽 , inj₁ (tt , 𝕋)) ⟧⟫ | |
| ∷ | |
| ⟪ ⇒ ∣ | |
| (((id↔ ⊗ (((id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ (swap₊ ⊗ id↔))) ⊚ | |
| (assocl⋆ ⊚ | |
| ((swap⋆ ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ swap⋆) ⊗ id↔) ⊚ | |
| assocr⋆) | |
| ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₁ (𝔽 , inj₁ (tt , 𝕋)) ⟧⟫ | |
| ∷ | |
| ⟪ ⇒ ∣ | |
| (((id↔ ⊗ (((id↔ ⊕ (id↔ ⊗ id↔)) ⊚ factor) ⊚ (swap₊ ⊗ id↔))) ⊚ | |
| (assocl⋆ ⊚ | |
| ((swap⋆ ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ swap⋆) ⊗ id↔) ⊚ | |
| assocr⋆) | |
| ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₁ (𝔽 , inj₁ (tt , 𝕋)) ⟧⟫ | |
| ∷ | |
| ⟪ ⇒ ∣ | |
| (((id↔ ⊗ (((id↔ ⊕ id↔) ⊚ factor) ⊚ (swap₊ ⊗ id↔))) ⊚ | |
| (assocl⋆ ⊚ | |
| ((swap⋆ ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ swap⋆) ⊗ id↔) ⊚ | |
| assocr⋆) | |
| ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₁ (𝔽 , inj₁ (tt , 𝕋)) ⟧⟫ | |
| ∷ | |
| ⟪ ⇒ ∣ | |
| (((id↔ ⊗ ((id↔ ⊚ factor) ⊚ (swap₊ ⊗ id↔))) ⊚ | |
| (assocl⋆ ⊚ | |
| ((swap⋆ ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ swap⋆) ⊗ id↔) ⊚ | |
| assocr⋆) | |
| ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₁ (𝔽 , inj₁ (tt , 𝕋)) ⟧⟫ | |
| ∷ | |
| ⟪ ⇒ ∣ | |
| (((id↔ ⊗ (factor ⊚ (swap₊ ⊗ id↔))) ⊚ | |
| (assocl⋆ ⊚ | |
| ((swap⋆ ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ swap⋆) ⊗ id↔) ⊚ | |
| assocr⋆) | |
| ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₁ (𝔽 , inj₁ (tt , 𝕋)) ⟧⟫ | |
| ∷ | |
| ⟪ ⇒ ∣ | |
| (((id↔ ⊗ (id↔ ⊚ (swap₊ ⊗ id↔))) ⊚ | |
| (assocl⋆ ⊚ | |
| ((swap⋆ ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ swap⋆) ⊗ id↔) ⊚ | |
| assocr⋆) | |
| ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₁ (𝔽 , 𝔽 , 𝕋) ⟧⟫ | |
| ∷ | |
| ⟪ ⇒ ∣ | |
| (((id↔ ⊗ (swap₊ ⊗ id↔)) ⊚ | |
| (assocl⋆ ⊚ | |
| ((swap⋆ ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ swap⋆) ⊗ id↔) ⊚ | |
| assocr⋆) | |
| ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₁ (𝔽 , 𝔽 , 𝕋) ⟧⟫ | |
| ∷ | |
| ⟪ ⇒ ∣ | |
| (((id↔ ⊗ (id↔ ⊗ id↔)) ⊚ | |
| (assocl⋆ ⊚ | |
| ((swap⋆ ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ swap⋆) ⊗ id↔) ⊚ | |
| assocr⋆) | |
| ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₁ (𝔽 , 𝕋 , 𝕋) ⟧⟫ | |
| ∷ | |
| ⟪ ⇒ ∣ | |
| (((id↔ ⊗ id↔) ⊚ | |
| (assocl⋆ ⊚ | |
| ((swap⋆ ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ swap⋆) ⊗ id↔) ⊚ | |
| assocr⋆) | |
| ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₁ (𝔽 , 𝕋 , 𝕋) ⟧⟫ | |
| ∷ | |
| ⟪ ⇒ ∣ | |
| ((id↔ ⊚ | |
| (assocl⋆ ⊚ | |
| ((swap⋆ ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ swap⋆) ⊗ id↔) ⊚ | |
| assocr⋆) | |
| ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₁ (𝔽 , 𝕋 , 𝕋) ⟧⟫ | |
| ∷ | |
| ⟪ ⇒ ∣ | |
| (((assocl⋆ ⊚ | |
| ((swap⋆ ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ swap⋆) ⊗ id↔) ⊚ | |
| assocr⋆) | |
| ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₁ (𝔽 , 𝕋 , 𝕋) ⟧⟫ | |
| ∷ | |
| ⟪ ⇒ ∣ | |
| (((id↔ ⊚ | |
| ((swap⋆ ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ swap⋆) ⊗ id↔) ⊚ | |
| assocr⋆) | |
| ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₁ ((𝔽 , 𝕋) , 𝕋) ⟧⟫ | |
| ∷ | |
| ⟪ ⇒ ∣ | |
| (((((swap⋆ ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ swap⋆) ⊗ | |
| id↔) | |
| ⊚ assocr⋆) | |
| ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₁ ((𝔽 , 𝕋) , 𝕋) ⟧⟫ | |
| ∷ | |
| ⟪ ⇒ ∣ | |
| (((((id↔ ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ swap⋆) ⊗ id↔) | |
| ⊚ assocr⋆) | |
| ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₁ ((𝕋 , 𝔽) , 𝕋) ⟧⟫ | |
| ∷ | |
| ⟪ ⇒ ∣ | |
| ((((((dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ swap⋆) ⊗ id↔) ⊚ | |
| assocr⋆) | |
| ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₁ ((𝕋 , 𝔽) , 𝕋) ⟧⟫ | |
| ∷ | |
| ⟪ ⇒ ∣ | |
| ((((((id↔ ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ swap⋆) ⊗ id↔) ⊚ | |
| assocr⋆) | |
| ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₁ (inj₂ (tt , 𝔽) , 𝕋) ⟧⟫ | |
| ∷ | |
| ⟪ ⇒ ∣ | |
| (((((((id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ swap⋆) ⊗ id↔) ⊚ assocr⋆) ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₁ (inj₂ (tt , 𝔽) , 𝕋) ⟧⟫ | |
| ∷ | |
| ⟪ ⇒ ∣ | |
| (((((((id↔ ⊕ (id↔ ⊗ id↔)) ⊚ factor) ⊚ swap⋆) ⊗ id↔) ⊚ assocr⋆) ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₁ (inj₂ (tt , 𝕋) , 𝕋) ⟧⟫ | |
| ∷ | |
| ⟪ ⇒ ∣ | |
| (((((((id↔ ⊕ id↔) ⊚ factor) ⊚ swap⋆) ⊗ id↔) ⊚ assocr⋆) ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₁ (inj₂ (tt , 𝕋) , 𝕋) ⟧⟫ | |
| ∷ | |
| ⟪ ⇒ ∣ | |
| ((((((id↔ ⊚ factor) ⊚ swap⋆) ⊗ id↔) ⊚ assocr⋆) ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₁ (inj₂ (tt , 𝕋) , 𝕋) ⟧⟫ | |
| ∷ | |
| ⟪ ⇒ ∣ | |
| (((((factor ⊚ swap⋆) ⊗ id↔) ⊚ assocr⋆) ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₁ (inj₂ (tt , 𝕋) , 𝕋) ⟧⟫ | |
| ∷ | |
| ⟪ ⇒ ∣ | |
| (((((id↔ ⊚ swap⋆) ⊗ id↔) ⊚ assocr⋆) ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₁ ((𝕋 , 𝕋) , 𝕋) ⟧⟫ | |
| ∷ | |
| ⟪ ⇒ ∣ | |
| ((((swap⋆ ⊗ id↔) ⊚ assocr⋆) ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₁ ((𝕋 , 𝕋) , 𝕋) ⟧⟫ | |
| ∷ | |
| ⟪ ⇒ ∣ | |
| ((((id↔ ⊗ id↔) ⊚ assocr⋆) ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₁ ((𝕋 , 𝕋) , 𝕋) ⟧⟫ | |
| ∷ | |
| ⟪ ⇒ ∣ | |
| (((id↔ ⊚ assocr⋆) ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₁ ((𝕋 , 𝕋) , 𝕋) ⟧⟫ | |
| ∷ | |
| ⟪ ⇒ ∣ | |
| ((assocr⋆ ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₁ ((𝕋 , 𝕋) , 𝕋) ⟧⟫ | |
| ∷ | |
| ⟪ ⇒ ∣ | |
| ((id↔ ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₁ (𝕋 , 𝕋 , 𝕋) ⟧⟫ | |
| ∷ | |
| ⟪ ⇒ ∣ | |
| ((id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor)) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₁ (𝕋 , 𝕋 , 𝕋) ⟧⟫ | |
| ∷ | |
| ⟪ ⇒ ∣ | |
| ((id↔ ⊗ ((id↔ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor)) ⊕ | |
| id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₁ (𝕋 , 𝔽 , 𝕋) ⟧⟫ | |
| ∷ | |
| ⟪ ⇒ ∣ | |
| ((id↔ ⊗ (id↔ ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor)) ⊕ id↔) ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₁ (𝕋 , 𝔽 , 𝕋) ⟧⟫ | |
| ∷ | |
| ⟪ ⇒ ∣ | |
| ((id↔ ⊗ ((dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor)) ⊕ id↔) ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₁ (𝕋 , 𝔽 , 𝕋) ⟧⟫ | |
| ∷ | |
| ⟪ ⇒ ∣ | |
| ((id↔ ⊗ ((id↔ ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor)) ⊕ id↔) ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₁ (𝕋 , inj₁ (tt , 𝕋)) ⟧⟫ | |
| ∷ | |
| ⟪ ⇒ ∣ | |
| ((id↔ ⊗ ((id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor)) ⊕ id↔) ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₁ (𝕋 , inj₁ (tt , 𝕋)) ⟧⟫ | |
| ∷ | |
| ⟪ ⇒ ∣ | |
| ((id↔ ⊗ ((id↔ ⊕ (id↔ ⊗ id↔)) ⊚ factor)) ⊕ id↔) ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₁ (𝕋 , inj₁ (tt , 𝕋)) ⟧⟫ | |
| ∷ | |
| ⟪ ⇒ ∣ | |
| ((id↔ ⊗ ((id↔ ⊕ id↔) ⊚ factor)) ⊕ id↔) ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₁ (𝕋 , inj₁ (tt , 𝕋)) ⟧⟫ | |
| ∷ | |
| ⟪ ⇒ ∣ | |
| ((id↔ ⊗ (id↔ ⊚ factor)) ⊕ id↔) ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₁ (𝕋 , inj₁ (tt , 𝕋)) ⟧⟫ | |
| ∷ | |
| ⟪ ⇒ ∣ | |
| ((id↔ ⊗ factor) ⊕ id↔) ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₁ (𝕋 , inj₁ (tt , 𝕋)) ⟧⟫ | |
| ∷ | |
| ⟪ ⇒ ∣ | |
| ((id↔ ⊗ id↔) ⊕ id↔) ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₁ (𝕋 , 𝔽 , 𝕋) ⟧⟫ | |
| ∷ | |
| ⟪ ⇒ ∣ | |
| (id↔ ⊕ id↔) ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₁ (𝕋 , 𝔽 , 𝕋) ⟧⟫ | |
| ∷ | |
| ⟪ ⇒ ∣ | |
| id↔ ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₁ (𝕋 , 𝔽 , 𝕋) ⟧⟫ | |
| ∷ | |
| ⟪ ⇒ ∣ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₁ (𝕋 , 𝔽 , 𝕋) ⟧⟫ | |
| ∷ | |
| ⟪ ⇒ ∣ | |
| (id↔ ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₁ (inj₂ (tt , 𝔽 , 𝕋)) ⟧⟫ | |
| ∷ | |
| ⟪ ⇒ ∣ | |
| id↔ ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₁ (inj₂ (tt , 𝔽 , 𝕋)) ⟧⟫ | |
| ∷ | |
| ⟪ ⇒ ∣ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₁ (inj₂ (tt , 𝔽 , 𝕋)) ⟧⟫ | |
| ∷ | |
| ⟪ ⇒ ∣ | |
| (id↔ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₂ (inj₁ (tt , 𝔽 , 𝕋)) ⟧⟫ | |
| ∷ | |
| ⟪ ⇒ ∣ | |
| ((id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₂ (inj₁ (tt , 𝔽 , 𝕋)) ⟧⟫ | |
| ∷ | |
| ⟪ ⇒ ∣ | |
| ((id↔ ⊕ (id↔ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₂ (inj₁ (inj₁ (tt , 𝔽 , 𝕋))) ⟧⟫ | |
| ∷ | |
| ⟪ ⇒ ∣ | |
| ((id↔ ⊕ ((swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₂ (inj₁ (inj₁ (tt , 𝔽 , 𝕋))) ⟧⟫ | |
| ∷ | |
| ⟪ ⇒ ∣ | |
| ((id↔ ⊕ ((id↔ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₂ (inj₁ (inj₂ (tt , 𝔽 , 𝕋))) ⟧⟫ | |
| ∷ | |
| ⟪ ⇒ ∣ | |
| ((id↔ ⊕ (id↔ ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₂ (inj₁ (inj₂ (tt , 𝔽 , 𝕋))) ⟧⟫ | |
| ∷ | |
| ⟪ ⇒ ∣ | |
| ((id↔ ⊕ assocr₊) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₂ (inj₁ (inj₂ (tt , 𝔽 , 𝕋))) ⟧⟫ | |
| ∷ | |
| ⟪ ⇒ ∣ | |
| ((id↔ ⊕ id↔) ⊚ assocl₊) ⊚ (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor ⟦ | |
| inj₂ (inj₂ (inj₁ (tt , 𝔽 , 𝕋))) ⟧⟫ | |
| ∷ | |
| ⟪ ⇒ ∣ (id↔ ⊚ assocl₊) ⊚ (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor ⟦ | |
| inj₂ (inj₂ (inj₁ (tt , 𝔽 , 𝕋))) ⟧⟫ | |
| ∷ | |
| ⟪ ⇒ ∣ assocl₊ ⊚ (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor ⟦ | |
| inj₂ (inj₂ (inj₁ (tt , 𝔽 , 𝕋))) ⟧⟫ | |
| ∷ | |
| ⟪ ⇒ ∣ id↔ ⊚ (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor ⟦ | |
| inj₂ (inj₁ (tt , 𝔽 , 𝕋)) ⟧⟫ | |
| ∷ | |
| ⟪ ⇒ ∣ (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor ⟦ | |
| inj₂ (inj₁ (tt , 𝔽 , 𝕋)) ⟧⟫ | |
| ∷ | |
| ⟪ ⇐ ∣ (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor ⟦ | |
| inj₂ (inj₂ (- (tt , 𝔽 , 𝕋))) ⟧⟫ | |
| ∷ | |
| ⟪ ⇐ ∣ id↔ ⊚ (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor ⟦ | |
| inj₂ (inj₂ (- (tt , 𝔽 , 𝕋))) ⟧⟫ | |
| ∷ | |
| ⟪ ⇐ ∣ assocl₊ ⊚ (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor ⟦ | |
| inj₂ (inj₂ (inj₂ (- (tt , 𝔽 , 𝕋)))) ⟧⟫ | |
| ∷ | |
| ⟪ ⇐ ∣ (id↔ ⊚ assocl₊) ⊚ (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor ⟦ | |
| inj₂ (inj₂ (inj₂ (- (tt , 𝔽 , 𝕋)))) ⟧⟫ | |
| ∷ | |
| ⟪ ⇐ ∣ | |
| ((id↔ ⊕ id↔) ⊚ assocl₊) ⊚ (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor ⟦ | |
| inj₂ (inj₂ (inj₂ (- (tt , 𝔽 , 𝕋)))) ⟧⟫ | |
| ∷ | |
| ⟪ ⇐ ∣ | |
| ((id↔ ⊕ assocr₊) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₂ (inj₂ (- (tt , 𝔽 , 𝕋))) ⟧⟫ | |
| ∷ | |
| ⟪ ⇐ ∣ | |
| ((id↔ ⊕ (id↔ ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₂ (inj₂ (- (tt , 𝔽 , 𝕋))) ⟧⟫ | |
| ∷ | |
| ⟪ ⇐ ∣ | |
| ((id↔ ⊕ ((id↔ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₂ (inj₂ (- (tt , 𝔽 , 𝕋))) ⟧⟫ | |
| ∷ | |
| ⟪ ⇐ ∣ | |
| ((id↔ ⊕ ((swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₂ (inj₂ (- (tt , 𝔽 , 𝕋))) ⟧⟫ | |
| ∷ | |
| ⟪ ⇐ ∣ | |
| ((id↔ ⊕ (id↔ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₂ (inj₂ (- (tt , 𝔽 , 𝕋))) ⟧⟫ | |
| ∷ | |
| ⟪ ⇐ ∣ | |
| ((id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₂ (inj₂ (inj₂ (- (tt , 𝔽 , 𝕋)))) ⟧⟫ | |
| ∷ | |
| ⟪ ⇐ ∣ | |
| (id↔ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₂ (inj₂ (inj₂ (- (tt , 𝔽 , 𝕋)))) ⟧⟫ | |
| ∷ | |
| ⟪ ⇐ ∣ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₂ (inj₂ (- (tt , 𝔽 , 𝕋))) ⟧⟫ | |
| ∷ | |
| ⟪ ⇐ ∣ | |
| id↔ ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₂ (inj₂ (- (tt , 𝔽 , 𝕋))) ⟧⟫ | |
| ∷ | |
| ⟪ ⇐ ∣ | |
| (id↔ ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₂ (inj₂ (- (tt , 𝔽 , 𝕋))) ⟧⟫ | |
| ∷ | |
| ⟪ ⇐ ∣ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₂ (inj₂ (- (tt , 𝔽 , 𝕋))) ⟧⟫ | |
| ∷ | |
| ⟪ ⇐ ∣ | |
| id↔ ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₂ (inj₂ (- (tt , 𝔽 , 𝕋))) ⟧⟫ | |
| ∷ | |
| ⟪ ⇐ ∣ | |
| (id↔ ⊕ id↔) ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₂ (inj₂ (- (tt , 𝔽 , 𝕋))) ⟧⟫ | |
| ∷ | |
| ⟪ ⇐ ∣ | |
| ((id↔ ⊗ id↔) ⊕ id↔) ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₂ (inj₂ (- (tt , 𝔽 , 𝕋))) ⟧⟫ | |
| ∷ | |
| ⟪ ⇐ ∣ | |
| ((id↔ ⊗ factor) ⊕ id↔) ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₂ (inj₂ (- (tt , 𝔽 , 𝕋))) ⟧⟫ | |
| ∷ | |
| ⟪ ⇐ ∣ | |
| ((id↔ ⊗ (id↔ ⊚ factor)) ⊕ id↔) ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₂ (inj₂ (- (tt , 𝔽 , 𝕋))) ⟧⟫ | |
| ∷ | |
| ⟪ ⇐ ∣ | |
| ((id↔ ⊗ ((id↔ ⊕ id↔) ⊚ factor)) ⊕ id↔) ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₂ (inj₂ (- (tt , 𝔽 , 𝕋))) ⟧⟫ | |
| ∷ | |
| ⟪ ⇐ ∣ | |
| ((id↔ ⊗ ((id↔ ⊕ (id↔ ⊗ id↔)) ⊚ factor)) ⊕ id↔) ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₂ (inj₂ (- (tt , 𝔽 , 𝕋))) ⟧⟫ | |
| ∷ | |
| ⟪ ⇐ ∣ | |
| ((id↔ ⊗ ((id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor)) ⊕ id↔) ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₂ (inj₂ (- (tt , 𝔽 , 𝕋))) ⟧⟫ | |
| ∷ | |
| ⟪ ⇐ ∣ | |
| ((id↔ ⊗ ((id↔ ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor)) ⊕ id↔) ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₂ (inj₂ (- (tt , 𝔽 , 𝕋))) ⟧⟫ | |
| ∷ | |
| ⟪ ⇐ ∣ | |
| ((id↔ ⊗ ((dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor)) ⊕ id↔) ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₂ (inj₂ (- (tt , 𝔽 , 𝕋))) ⟧⟫ | |
| ∷ | |
| ⟪ ⇐ ∣ | |
| ((id↔ ⊗ (id↔ ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor)) ⊕ id↔) ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₂ (inj₂ (- (tt , 𝔽 , 𝕋))) ⟧⟫ | |
| ∷ | |
| ⟪ ⇐ ∣ | |
| ((id↔ ⊗ ((id↔ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor)) ⊕ | |
| id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₂ (inj₂ (- (tt , 𝔽 , 𝕋))) ⟧⟫ | |
| ∷ | |
| ⟪ ⇐ ∣ | |
| ((id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor)) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₂ (inj₂ (- (tt , 𝔽 , 𝕋))) ⟧⟫ | |
| ∷ | |
| ⟪ ⇐ ∣ | |
| ((id↔ ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₂ (inj₂ (- (tt , 𝔽 , 𝕋))) ⟧⟫ | |
| ∷ | |
| ⟪ ⇐ ∣ | |
| ((assocr⋆ ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₂ (inj₂ (- (tt , 𝔽 , 𝕋))) ⟧⟫ | |
| ∷ | |
| ⟪ ⇐ ∣ | |
| (((id↔ ⊚ assocr⋆) ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₂ (inj₂ (- (tt , 𝔽 , 𝕋))) ⟧⟫ | |
| ∷ | |
| ⟪ ⇐ ∣ | |
| ((((id↔ ⊗ id↔) ⊚ assocr⋆) ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₂ (inj₂ (- (tt , 𝔽 , 𝕋))) ⟧⟫ | |
| ∷ | |
| ⟪ ⇐ ∣ | |
| ((((swap⋆ ⊗ id↔) ⊚ assocr⋆) ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₂ (inj₂ (- (tt , 𝔽 , 𝕋))) ⟧⟫ | |
| ∷ | |
| ⟪ ⇐ ∣ | |
| (((((id↔ ⊚ swap⋆) ⊗ id↔) ⊚ assocr⋆) ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₂ (inj₂ (- (tt , 𝔽 , 𝕋))) ⟧⟫ | |
| ∷ | |
| ⟪ ⇐ ∣ | |
| (((((factor ⊚ swap⋆) ⊗ id↔) ⊚ assocr⋆) ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₂ (inj₂ (- (tt , 𝔽 , 𝕋))) ⟧⟫ | |
| ∷ | |
| ⟪ ⇐ ∣ | |
| ((((((id↔ ⊚ factor) ⊚ swap⋆) ⊗ id↔) ⊚ assocr⋆) ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₂ (inj₂ (- (tt , 𝔽 , 𝕋))) ⟧⟫ | |
| ∷ | |
| ⟪ ⇐ ∣ | |
| (((((((id↔ ⊕ id↔) ⊚ factor) ⊚ swap⋆) ⊗ id↔) ⊚ assocr⋆) ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₂ (inj₂ (- (tt , 𝔽 , 𝕋))) ⟧⟫ | |
| ∷ | |
| ⟪ ⇐ ∣ | |
| (((((((id↔ ⊕ (id↔ ⊗ id↔)) ⊚ factor) ⊚ swap⋆) ⊗ id↔) ⊚ assocr⋆) ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₂ (inj₂ (- (tt , 𝔽 , 𝕋))) ⟧⟫ | |
| ∷ | |
| ⟪ ⇐ ∣ | |
| (((((((id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ swap⋆) ⊗ id↔) ⊚ assocr⋆) ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₂ (inj₂ (- (tt , 𝔽 , 𝕋))) ⟧⟫ | |
| ∷ | |
| ⟪ ⇐ ∣ | |
| ((((((id↔ ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ swap⋆) ⊗ id↔) ⊚ | |
| assocr⋆) | |
| ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₂ (inj₂ (- (tt , 𝔽 , 𝕋))) ⟧⟫ | |
| ∷ | |
| ⟪ ⇐ ∣ | |
| ((((((dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ swap⋆) ⊗ id↔) ⊚ | |
| assocr⋆) | |
| ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₂ (inj₂ (- (tt , 𝔽 , 𝕋))) ⟧⟫ | |
| ∷ | |
| ⟪ ⇐ ∣ | |
| (((((id↔ ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ swap⋆) ⊗ id↔) | |
| ⊚ assocr⋆) | |
| ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₂ (inj₂ (- (tt , 𝔽 , 𝕋))) ⟧⟫ | |
| ∷ | |
| ⟪ ⇐ ∣ | |
| (((((swap⋆ ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ swap⋆) ⊗ | |
| id↔) | |
| ⊚ assocr⋆) | |
| ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₂ (inj₂ (- (tt , 𝔽 , 𝕋))) ⟧⟫ | |
| ∷ | |
| ⟪ ⇐ ∣ | |
| (((id↔ ⊚ | |
| ((swap⋆ ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ swap⋆) ⊗ id↔) ⊚ | |
| assocr⋆) | |
| ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₂ (inj₂ (- (tt , 𝔽 , 𝕋))) ⟧⟫ | |
| ∷ | |
| ⟪ ⇐ ∣ | |
| (((assocl⋆ ⊚ | |
| ((swap⋆ ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ swap⋆) ⊗ id↔) ⊚ | |
| assocr⋆) | |
| ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₂ (inj₂ (- (tt , 𝔽 , 𝕋))) ⟧⟫ | |
| ∷ | |
| ⟪ ⇐ ∣ | |
| ((id↔ ⊚ | |
| (assocl⋆ ⊚ | |
| ((swap⋆ ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ swap⋆) ⊗ id↔) ⊚ | |
| assocr⋆) | |
| ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₂ (inj₂ (- (tt , 𝔽 , 𝕋))) ⟧⟫ | |
| ∷ | |
| ⟪ ⇐ ∣ | |
| (((id↔ ⊗ id↔) ⊚ | |
| (assocl⋆ ⊚ | |
| ((swap⋆ ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ swap⋆) ⊗ id↔) ⊚ | |
| assocr⋆) | |
| ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₂ (inj₂ (- (tt , 𝔽 , 𝕋))) ⟧⟫ | |
| ∷ | |
| ⟪ ⇐ ∣ | |
| (((id↔ ⊗ (id↔ ⊗ id↔)) ⊚ | |
| (assocl⋆ ⊚ | |
| ((swap⋆ ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ swap⋆) ⊗ id↔) ⊚ | |
| assocr⋆) | |
| ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₂ (inj₂ (- (tt , 𝔽 , 𝕋))) ⟧⟫ | |
| ∷ | |
| ⟪ ⇐ ∣ | |
| (((id↔ ⊗ (swap₊ ⊗ id↔)) ⊚ | |
| (assocl⋆ ⊚ | |
| ((swap⋆ ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ swap⋆) ⊗ id↔) ⊚ | |
| assocr⋆) | |
| ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₂ (inj₂ (- (tt , 𝔽 , 𝕋))) ⟧⟫ | |
| ∷ | |
| ⟪ ⇐ ∣ | |
| (((id↔ ⊗ (id↔ ⊚ (swap₊ ⊗ id↔))) ⊚ | |
| (assocl⋆ ⊚ | |
| ((swap⋆ ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ swap⋆) ⊗ id↔) ⊚ | |
| assocr⋆) | |
| ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₂ (inj₂ (- (tt , 𝔽 , 𝕋))) ⟧⟫ | |
| ∷ | |
| ⟪ ⇐ ∣ | |
| (((id↔ ⊗ (factor ⊚ (swap₊ ⊗ id↔))) ⊚ | |
| (assocl⋆ ⊚ | |
| ((swap⋆ ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ swap⋆) ⊗ id↔) ⊚ | |
| assocr⋆) | |
| ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₂ (inj₂ (- (tt , 𝔽 , 𝕋))) ⟧⟫ | |
| ∷ | |
| ⟪ ⇐ ∣ | |
| (((id↔ ⊗ ((id↔ ⊚ factor) ⊚ (swap₊ ⊗ id↔))) ⊚ | |
| (assocl⋆ ⊚ | |
| ((swap⋆ ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ swap⋆) ⊗ id↔) ⊚ | |
| assocr⋆) | |
| ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₂ (inj₂ (- (tt , 𝔽 , 𝕋))) ⟧⟫ | |
| ∷ | |
| ⟪ ⇐ ∣ | |
| (((id↔ ⊗ (((id↔ ⊕ id↔) ⊚ factor) ⊚ (swap₊ ⊗ id↔))) ⊚ | |
| (assocl⋆ ⊚ | |
| ((swap⋆ ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ swap⋆) ⊗ id↔) ⊚ | |
| assocr⋆) | |
| ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₂ (inj₂ (- (tt , 𝔽 , 𝕋))) ⟧⟫ | |
| ∷ | |
| ⟪ ⇐ ∣ | |
| (((id↔ ⊗ (((id↔ ⊕ (id↔ ⊗ id↔)) ⊚ factor) ⊚ (swap₊ ⊗ id↔))) ⊚ | |
| (assocl⋆ ⊚ | |
| ((swap⋆ ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ swap⋆) ⊗ id↔) ⊚ | |
| assocr⋆) | |
| ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₂ (inj₂ (- (tt , 𝔽 , 𝕋))) ⟧⟫ | |
| ∷ | |
| ⟪ ⇐ ∣ | |
| (((id↔ ⊗ (((id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ (swap₊ ⊗ id↔))) ⊚ | |
| (assocl⋆ ⊚ | |
| ((swap⋆ ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ swap⋆) ⊗ id↔) ⊚ | |
| assocr⋆) | |
| ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₂ (inj₂ (- (tt , 𝔽 , 𝕋))) ⟧⟫ | |
| ∷ | |
| ⟪ ⇐ ∣ | |
| (((id↔ ⊗ ((id↔ ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ (swap₊ ⊗ id↔))) | |
| ⊚ | |
| (assocl⋆ ⊚ | |
| ((swap⋆ ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ swap⋆) ⊗ id↔) ⊚ | |
| assocr⋆) | |
| ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₂ (inj₂ (- (tt , 𝔽 , 𝕋))) ⟧⟫ | |
| ∷ | |
| ⟪ ⇐ ∣ | |
| (((id↔ ⊗ ((dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ (swap₊ ⊗ id↔))) | |
| ⊚ | |
| (assocl⋆ ⊚ | |
| ((swap⋆ ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ swap⋆) ⊗ id↔) ⊚ | |
| assocr⋆) | |
| ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₂ (inj₂ (- (tt , 𝔽 , 𝕋))) ⟧⟫ | |
| ∷ | |
| ⟪ ⇐ ∣ | |
| id↔ ⊚ | |
| (((id↔ ⊗ ((dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ (swap₊ ⊗ id↔))) | |
| ⊚ | |
| (assocl⋆ ⊚ | |
| ((swap⋆ ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ swap⋆) ⊗ id↔) ⊚ | |
| assocr⋆) | |
| ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₂ (inj₂ (- (tt , 𝔽 , 𝕋))) ⟧⟫ | |
| ∷ | |
| ⟪ ⇐ ∣ | |
| (id↔ ⊕ id↔) ⊚ | |
| (((id↔ ⊗ ((dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ (swap₊ ⊗ id↔))) | |
| ⊚ | |
| (assocl⋆ ⊚ | |
| ((swap⋆ ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ swap⋆) ⊗ id↔) ⊚ | |
| assocr⋆) | |
| ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₂ (inj₂ (- (tt , 𝔽 , 𝕋))) ⟧⟫ | |
| ∷ | |
| ⟪ ⇐ ∣ | |
| (assocr⋆ ⊕ id↔) ⊚ | |
| (((id↔ ⊗ ((dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ (swap₊ ⊗ id↔))) | |
| ⊚ | |
| (assocl⋆ ⊚ | |
| ((swap⋆ ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ swap⋆) ⊗ id↔) ⊚ | |
| assocr⋆) | |
| ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₂ (inj₂ (- (tt , 𝔽 , 𝕋))) ⟧⟫ | |
| ∷ | |
| ⟪ ⇐ ∣ | |
| ((id↔ ⊚ assocr⋆) ⊕ id↔) ⊚ | |
| (((id↔ ⊗ ((dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ (swap₊ ⊗ id↔))) | |
| ⊚ | |
| (assocl⋆ ⊚ | |
| ((swap⋆ ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ swap⋆) ⊗ id↔) ⊚ | |
| assocr⋆) | |
| ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₂ (inj₂ (- (tt , 𝔽 , 𝕋))) ⟧⟫ | |
| ∷ | |
| ⟪ ⇐ ∣ | |
| (((id↔ ⊗ id↔) ⊚ assocr⋆) ⊕ id↔) ⊚ | |
| (((id↔ ⊗ ((dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ (swap₊ ⊗ id↔))) | |
| ⊚ | |
| (assocl⋆ ⊚ | |
| ((swap⋆ ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ swap⋆) ⊗ id↔) ⊚ | |
| assocr⋆) | |
| ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₂ (inj₂ (- (tt , 𝔽 , 𝕋))) ⟧⟫ | |
| ∷ | |
| ⟪ ⇐ ∣ | |
| (((swap⋆ ⊗ id↔) ⊚ assocr⋆) ⊕ id↔) ⊚ | |
| (((id↔ ⊗ ((dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ (swap₊ ⊗ id↔))) | |
| ⊚ | |
| (assocl⋆ ⊚ | |
| ((swap⋆ ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ swap⋆) ⊗ id↔) ⊚ | |
| assocr⋆) | |
| ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₂ (inj₂ (- (tt , 𝔽 , 𝕋))) ⟧⟫ | |
| ∷ | |
| ⟪ ⇐ ∣ | |
| ((id↔ ⊚ (swap⋆ ⊗ id↔) ⊚ assocr⋆) ⊕ id↔) ⊚ | |
| (((id↔ ⊗ ((dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ (swap₊ ⊗ id↔))) | |
| ⊚ | |
| (assocl⋆ ⊚ | |
| ((swap⋆ ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ swap⋆) ⊗ id↔) ⊚ | |
| assocr⋆) | |
| ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₂ (inj₂ (- (tt , 𝔽 , 𝕋))) ⟧⟫ | |
| ∷ | |
| ⟪ ⇐ ∣ | |
| ((assocl⋆ ⊚ (swap⋆ ⊗ id↔) ⊚ assocr⋆) ⊕ id↔) ⊚ | |
| (((id↔ ⊗ ((dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ (swap₊ ⊗ id↔))) | |
| ⊚ | |
| (assocl⋆ ⊚ | |
| ((swap⋆ ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ swap⋆) ⊗ id↔) ⊚ | |
| assocr⋆) | |
| ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₂ (inj₂ (- (tt , 𝔽 , 𝕋))) ⟧⟫ | |
| ∷ | |
| ⟪ ⇐ ∣ | |
| ((id↔ ⊚ assocl⋆ ⊚ (swap⋆ ⊗ id↔) ⊚ assocr⋆) ⊕ id↔) ⊚ | |
| (((id↔ ⊗ ((dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ (swap₊ ⊗ id↔))) | |
| ⊚ | |
| (assocl⋆ ⊚ | |
| ((swap⋆ ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ swap⋆) ⊗ id↔) ⊚ | |
| assocr⋆) | |
| ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₂ (inj₂ (- (tt , 𝔽 , 𝕋))) ⟧⟫ | |
| ∷ | |
| ⟪ ⇐ ∣ | |
| ((factor ⊚ assocl⋆ ⊚ (swap⋆ ⊗ id↔) ⊚ assocr⋆) ⊕ id↔) ⊚ | |
| (((id↔ ⊗ ((dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ (swap₊ ⊗ id↔))) | |
| ⊚ | |
| (assocl⋆ ⊚ | |
| ((swap⋆ ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ swap⋆) ⊗ id↔) ⊚ | |
| assocr⋆) | |
| ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₂ (inj₂ (- (tt , 𝔽 , 𝕋))) ⟧⟫ | |
| ∷ | |
| ⟪ ⇐ ∣ | |
| ((id↔ ⊚ factor ⊚ assocl⋆ ⊚ (swap⋆ ⊗ id↔) ⊚ assocr⋆) ⊕ id↔) ⊚ | |
| (((id↔ ⊗ ((dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ (swap₊ ⊗ id↔))) | |
| ⊚ | |
| (assocl⋆ ⊚ | |
| ((swap⋆ ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ swap⋆) ⊗ id↔) ⊚ | |
| assocr⋆) | |
| ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₂ (inj₂ (- (tt , 𝔽 , 𝕋))) ⟧⟫ | |
| ∷ | |
| ⟪ ⇐ ∣ | |
| (((id↔ ⊕ id↔) ⊚ factor ⊚ assocl⋆ ⊚ (swap⋆ ⊗ id↔) ⊚ assocr⋆) ⊕ id↔) | |
| ⊚ | |
| (((id↔ ⊗ ((dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ (swap₊ ⊗ id↔))) | |
| ⊚ | |
| (assocl⋆ ⊚ | |
| ((swap⋆ ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ swap⋆) ⊗ id↔) ⊚ | |
| assocr⋆) | |
| ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₂ (inj₂ (- (tt , 𝔽 , 𝕋))) ⟧⟫ | |
| ∷ | |
| ⟪ ⇐ ∣ | |
| (((id↔ ⊕ (id↔ ⊗ id↔)) ⊚ factor ⊚ assocl⋆ ⊚ (swap⋆ ⊗ id↔) ⊚ assocr⋆) | |
| ⊕ id↔) | |
| ⊚ | |
| (((id↔ ⊗ ((dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ (swap₊ ⊗ id↔))) | |
| ⊚ | |
| (assocl⋆ ⊚ | |
| ((swap⋆ ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ swap⋆) ⊗ id↔) ⊚ | |
| assocr⋆) | |
| ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₂ (inj₂ (- (tt , 𝔽 , 𝕋))) ⟧⟫ | |
| ∷ | |
| ⟪ ⇐ ∣ | |
| (((id↔ ⊕ (id↔ ⊗ (id↔ ⊗ id↔))) ⊚ | |
| factor ⊚ assocl⋆ ⊚ (swap⋆ ⊗ id↔) ⊚ assocr⋆) | |
| ⊕ id↔) | |
| ⊚ | |
| (((id↔ ⊗ ((dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ (swap₊ ⊗ id↔))) | |
| ⊚ | |
| (assocl⋆ ⊚ | |
| ((swap⋆ ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ swap⋆) ⊗ id↔) ⊚ | |
| assocr⋆) | |
| ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₂ (inj₂ (- (tt , 𝔽 , 𝕋))) ⟧⟫ | |
| ∷ | |
| ⟪ ⇐ ∣ | |
| (((id↔ ⊕ (id↔ ⊗ (swap₊ ⊗ id↔))) ⊚ | |
| factor ⊚ assocl⋆ ⊚ (swap⋆ ⊗ id↔) ⊚ assocr⋆) | |
| ⊕ id↔) | |
| ⊚ | |
| (((id↔ ⊗ ((dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ (swap₊ ⊗ id↔))) | |
| ⊚ | |
| (assocl⋆ ⊚ | |
| ((swap⋆ ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ swap⋆) ⊗ id↔) ⊚ | |
| assocr⋆) | |
| ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₂ (inj₂ (- (tt , 𝔽 , 𝕋))) ⟧⟫ | |
| ∷ | |
| ⟪ ⇐ ∣ | |
| ((((id↔ ⊗ id↔) ⊕ (id↔ ⊗ (swap₊ ⊗ id↔))) ⊚ | |
| factor ⊚ assocl⋆ ⊚ (swap⋆ ⊗ id↔) ⊚ assocr⋆) | |
| ⊕ id↔) | |
| ⊚ | |
| (((id↔ ⊗ ((dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ (swap₊ ⊗ id↔))) | |
| ⊚ | |
| (assocl⋆ ⊚ | |
| ((swap⋆ ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ swap⋆) ⊗ id↔) ⊚ | |
| assocr⋆) | |
| ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₂ (inj₂ (- (tt , 𝔽 , 𝕋))) ⟧⟫ | |
| ∷ | |
| ⟪ ⇐ ∣ | |
| ((((id↔ ⊗ swap⋆) ⊕ (id↔ ⊗ (swap₊ ⊗ id↔))) ⊚ | |
| factor ⊚ assocl⋆ ⊚ (swap⋆ ⊗ id↔) ⊚ assocr⋆) | |
| ⊕ id↔) | |
| ⊚ | |
| (((id↔ ⊗ ((dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ (swap₊ ⊗ id↔))) | |
| ⊚ | |
| (assocl⋆ ⊚ | |
| ((swap⋆ ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ swap⋆) ⊗ id↔) ⊚ | |
| assocr⋆) | |
| ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₂ (inj₂ (- (tt , 𝔽 , 𝕋))) ⟧⟫ | |
| ∷ | |
| ⟪ ⇐ ∣ | |
| ((((id↔ ⊗ (id↔ ⊚ swap⋆)) ⊕ (id↔ ⊗ (swap₊ ⊗ id↔))) ⊚ | |
| factor ⊚ assocl⋆ ⊚ (swap⋆ ⊗ id↔) ⊚ assocr⋆) | |
| ⊕ id↔) | |
| ⊚ | |
| (((id↔ ⊗ ((dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ (swap₊ ⊗ id↔))) | |
| ⊚ | |
| (assocl⋆ ⊚ | |
| ((swap⋆ ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ swap⋆) ⊗ id↔) ⊚ | |
| assocr⋆) | |
| ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₂ (inj₂ (- (tt , 𝔽 , 𝕋))) ⟧⟫ | |
| ∷ | |
| ⟪ ⇐ ∣ | |
| ((((id↔ ⊗ (factor ⊚ swap⋆)) ⊕ (id↔ ⊗ (swap₊ ⊗ id↔))) ⊚ | |
| factor ⊚ assocl⋆ ⊚ (swap⋆ ⊗ id↔) ⊚ assocr⋆) | |
| ⊕ id↔) | |
| ⊚ | |
| (((id↔ ⊗ ((dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ (swap₊ ⊗ id↔))) | |
| ⊚ | |
| (assocl⋆ ⊚ | |
| ((swap⋆ ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ swap⋆) ⊗ id↔) ⊚ | |
| assocr⋆) | |
| ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₂ (inj₂ (- (tt , 𝔽 , 𝕋))) ⟧⟫ | |
| ∷ | |
| ⟪ ⇐ ∣ | |
| ((((id↔ ⊗ (id↔ ⊚ factor ⊚ swap⋆)) ⊕ (id↔ ⊗ (swap₊ ⊗ id↔))) ⊚ | |
| factor ⊚ assocl⋆ ⊚ (swap⋆ ⊗ id↔) ⊚ assocr⋆) | |
| ⊕ id↔) | |
| ⊚ | |
| (((id↔ ⊗ ((dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ (swap₊ ⊗ id↔))) | |
| ⊚ | |
| (assocl⋆ ⊚ | |
| ((swap⋆ ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ swap⋆) ⊗ id↔) ⊚ | |
| assocr⋆) | |
| ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₂ (inj₂ (- (tt , 𝔽 , 𝕋))) ⟧⟫ | |
| ∷ | |
| ⟪ ⇐ ∣ | |
| ((((id↔ ⊗ ((id↔ ⊕ id↔) ⊚ factor ⊚ swap⋆)) ⊕ (id↔ ⊗ (swap₊ ⊗ id↔))) | |
| ⊚ factor ⊚ assocl⋆ ⊚ (swap⋆ ⊗ id↔) ⊚ assocr⋆) | |
| ⊕ id↔) | |
| ⊚ | |
| (((id↔ ⊗ ((dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ (swap₊ ⊗ id↔))) | |
| ⊚ | |
| (assocl⋆ ⊚ | |
| ((swap⋆ ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ swap⋆) ⊗ id↔) ⊚ | |
| assocr⋆) | |
| ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₂ (inj₂ (- (tt , 𝔽 , 𝕋))) ⟧⟫ | |
| ∷ | |
| ⟪ ⇐ ∣ | |
| ((((id↔ ⊗ ((id↔ ⊕ swap⋆) ⊚ factor ⊚ swap⋆)) ⊕ | |
| (id↔ ⊗ (swap₊ ⊗ id↔))) | |
| ⊚ factor ⊚ assocl⋆ ⊚ (swap⋆ ⊗ id↔) ⊚ assocr⋆) | |
| ⊕ id↔) | |
| ⊚ | |
| (((id↔ ⊗ ((dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ (swap₊ ⊗ id↔))) | |
| ⊚ | |
| (assocl⋆ ⊚ | |
| ((swap⋆ ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ swap⋆) ⊗ id↔) ⊚ | |
| assocr⋆) | |
| ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₂ (inj₂ (- (tt , 𝔽 , 𝕋))) ⟧⟫ | |
| ∷ | |
| ⟪ ⇐ ∣ | |
| ((((id↔ ⊗ ((swap⋆ ⊕ swap⋆) ⊚ factor ⊚ swap⋆)) ⊕ | |
| (id↔ ⊗ (swap₊ ⊗ id↔))) | |
| ⊚ factor ⊚ assocl⋆ ⊚ (swap⋆ ⊗ id↔) ⊚ assocr⋆) | |
| ⊕ id↔) | |
| ⊚ | |
| (((id↔ ⊗ ((dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ (swap₊ ⊗ id↔))) | |
| ⊚ | |
| (assocl⋆ ⊚ | |
| ((swap⋆ ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ swap⋆) ⊗ id↔) ⊚ | |
| assocr⋆) | |
| ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₂ (inj₂ (- (tt , 𝔽 , 𝕋))) ⟧⟫ | |
| ∷ | |
| ⟪ ⇐ ∣ | |
| ((((id↔ ⊗ (id↔ ⊚ (swap⋆ ⊕ swap⋆) ⊚ factor ⊚ swap⋆)) ⊕ | |
| (id↔ ⊗ (swap₊ ⊗ id↔))) | |
| ⊚ factor ⊚ assocl⋆ ⊚ (swap⋆ ⊗ id↔) ⊚ assocr⋆) | |
| ⊕ id↔) | |
| ⊚ | |
| (((id↔ ⊗ ((dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ (swap₊ ⊗ id↔))) | |
| ⊚ | |
| (assocl⋆ ⊚ | |
| ((swap⋆ ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ swap⋆) ⊗ id↔) ⊚ | |
| assocr⋆) | |
| ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₂ (inj₂ (- (tt , 𝔽 , 𝕋))) ⟧⟫ | |
| ∷ | |
| ⟪ ⇐ ∣ | |
| ((((id↔ ⊗ ((id↔ ⊕ id↔) ⊚ (swap⋆ ⊕ swap⋆) ⊚ factor ⊚ swap⋆)) ⊕ | |
| (id↔ ⊗ (swap₊ ⊗ id↔))) | |
| ⊚ factor ⊚ assocl⋆ ⊚ (swap⋆ ⊗ id↔) ⊚ assocr⋆) | |
| ⊕ id↔) | |
| ⊚ | |
| (((id↔ ⊗ ((dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ (swap₊ ⊗ id↔))) | |
| ⊚ | |
| (assocl⋆ ⊚ | |
| ((swap⋆ ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ swap⋆) ⊗ id↔) ⊚ | |
| assocr⋆) | |
| ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₂ (inj₂ (- (tt , 𝔽 , 𝕋))) ⟧⟫ | |
| ∷ | |
| ⟪ ⇐ ∣ | |
| ((((id↔ ⊗ ((id↔ ⊕ (id↔ ⊗ id↔)) ⊚ (swap⋆ ⊕ swap⋆) ⊚ factor ⊚ swap⋆)) | |
| ⊕ (id↔ ⊗ (swap₊ ⊗ id↔))) | |
| ⊚ factor ⊚ assocl⋆ ⊚ (swap⋆ ⊗ id↔) ⊚ assocr⋆) | |
| ⊕ id↔) | |
| ⊚ | |
| (((id↔ ⊗ ((dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ (swap₊ ⊗ id↔))) | |
| ⊚ | |
| (assocl⋆ ⊚ | |
| ((swap⋆ ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ swap⋆) ⊗ id↔) ⊚ | |
| assocr⋆) | |
| ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₂ (inj₂ (- (tt , 𝔽 , 𝕋))) ⟧⟫ | |
| ∷ | |
| ⟪ ⇐ ∣ | |
| ((((id↔ ⊗ | |
| ((id↔ ⊕ (swap₊ ⊗ id↔)) ⊚ (swap⋆ ⊕ swap⋆) ⊚ factor ⊚ swap⋆)) | |
| ⊕ (id↔ ⊗ (swap₊ ⊗ id↔))) | |
| ⊚ factor ⊚ assocl⋆ ⊚ (swap⋆ ⊗ id↔) ⊚ assocr⋆) | |
| ⊕ id↔) | |
| ⊚ | |
| (((id↔ ⊗ ((dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ (swap₊ ⊗ id↔))) | |
| ⊚ | |
| (assocl⋆ ⊚ | |
| ((swap⋆ ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ swap⋆) ⊗ id↔) ⊚ | |
| assocr⋆) | |
| ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₂ (inj₂ (- (tt , 𝔽 , 𝕋))) ⟧⟫ | |
| ∷ | |
| ⟪ ⇐ ∣ | |
| ((((id↔ ⊗ | |
| (id↔ ⊚ (id↔ ⊕ (swap₊ ⊗ id↔)) ⊚ (swap⋆ ⊕ swap⋆) ⊚ factor ⊚ swap⋆)) | |
| ⊕ (id↔ ⊗ (swap₊ ⊗ id↔))) | |
| ⊚ factor ⊚ assocl⋆ ⊚ (swap⋆ ⊗ id↔) ⊚ assocr⋆) | |
| ⊕ id↔) | |
| ⊚ | |
| (((id↔ ⊗ ((dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ (swap₊ ⊗ id↔))) | |
| ⊚ | |
| (assocl⋆ ⊚ | |
| ((swap⋆ ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ swap⋆) ⊗ id↔) ⊚ | |
| assocr⋆) | |
| ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₂ (inj₂ (- (tt , 𝔽 , 𝕋))) ⟧⟫ | |
| ∷ | |
| ⟪ ⇐ ∣ | |
| ((((id↔ ⊗ | |
| ((id↔ ⊕ id↔) ⊚ | |
| (id↔ ⊕ (swap₊ ⊗ id↔)) ⊚ (swap⋆ ⊕ swap⋆) ⊚ factor ⊚ swap⋆)) | |
| ⊕ (id↔ ⊗ (swap₊ ⊗ id↔))) | |
| ⊚ factor ⊚ assocl⋆ ⊚ (swap⋆ ⊗ id↔) ⊚ assocr⋆) | |
| ⊕ id↔) | |
| ⊚ | |
| (((id↔ ⊗ ((dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ (swap₊ ⊗ id↔))) | |
| ⊚ | |
| (assocl⋆ ⊚ | |
| ((swap⋆ ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ swap⋆) ⊗ id↔) ⊚ | |
| assocr⋆) | |
| ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₂ (inj₂ (- (tt , 𝔽 , 𝕋))) ⟧⟫ | |
| ∷ | |
| ⟪ ⇐ ∣ | |
| ((((id↔ ⊗ | |
| ((id↔ ⊕ swap⋆) ⊚ | |
| (id↔ ⊕ (swap₊ ⊗ id↔)) ⊚ (swap⋆ ⊕ swap⋆) ⊚ factor ⊚ swap⋆)) | |
| ⊕ (id↔ ⊗ (swap₊ ⊗ id↔))) | |
| ⊚ factor ⊚ assocl⋆ ⊚ (swap⋆ ⊗ id↔) ⊚ assocr⋆) | |
| ⊕ id↔) | |
| ⊚ | |
| (((id↔ ⊗ ((dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ (swap₊ ⊗ id↔))) | |
| ⊚ | |
| (assocl⋆ ⊚ | |
| ((swap⋆ ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ swap⋆) ⊗ id↔) ⊚ | |
| assocr⋆) | |
| ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₂ (inj₂ (- (tt , 𝔽 , 𝕋))) ⟧⟫ | |
| ∷ | |
| ⟪ ⇐ ∣ | |
| ((((id↔ ⊗ | |
| ((swap⋆ ⊕ swap⋆) ⊚ | |
| (id↔ ⊕ (swap₊ ⊗ id↔)) ⊚ (swap⋆ ⊕ swap⋆) ⊚ factor ⊚ swap⋆)) | |
| ⊕ (id↔ ⊗ (swap₊ ⊗ id↔))) | |
| ⊚ factor ⊚ assocl⋆ ⊚ (swap⋆ ⊗ id↔) ⊚ assocr⋆) | |
| ⊕ id↔) | |
| ⊚ | |
| (((id↔ ⊗ ((dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ (swap₊ ⊗ id↔))) | |
| ⊚ | |
| (assocl⋆ ⊚ | |
| ((swap⋆ ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ swap⋆) ⊗ id↔) ⊚ | |
| assocr⋆) | |
| ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₂ (inj₂ (- (tt , 𝔽 , 𝕋))) ⟧⟫ | |
| ∷ | |
| ⟪ ⇐ ∣ | |
| ((((id↔ ⊗ | |
| ((id↔ ⊚ (swap⋆ ⊕ swap⋆)) ⊚ | |
| (id↔ ⊕ (swap₊ ⊗ id↔)) ⊚ (swap⋆ ⊕ swap⋆) ⊚ factor ⊚ swap⋆)) | |
| ⊕ (id↔ ⊗ (swap₊ ⊗ id↔))) | |
| ⊚ factor ⊚ assocl⋆ ⊚ (swap⋆ ⊗ id↔) ⊚ assocr⋆) | |
| ⊕ id↔) | |
| ⊚ | |
| (((id↔ ⊗ ((dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ (swap₊ ⊗ id↔))) | |
| ⊚ | |
| (assocl⋆ ⊚ | |
| ((swap⋆ ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ swap⋆) ⊗ id↔) ⊚ | |
| assocr⋆) | |
| ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₂ (inj₂ (- (tt , 𝔽 , 𝕋))) ⟧⟫ | |
| ∷ | |
| ⟪ ⇐ ∣ | |
| ((((id↔ ⊗ | |
| ((dist ⊚ (swap⋆ ⊕ swap⋆)) ⊚ | |
| (id↔ ⊕ (swap₊ ⊗ id↔)) ⊚ (swap⋆ ⊕ swap⋆) ⊚ factor ⊚ swap⋆)) | |
| ⊕ (id↔ ⊗ (swap₊ ⊗ id↔))) | |
| ⊚ factor ⊚ assocl⋆ ⊚ (swap⋆ ⊗ id↔) ⊚ assocr⋆) | |
| ⊕ id↔) | |
| ⊚ | |
| (((id↔ ⊗ ((dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ (swap₊ ⊗ id↔))) | |
| ⊚ | |
| (assocl⋆ ⊚ | |
| ((swap⋆ ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ swap⋆) ⊗ id↔) ⊚ | |
| assocr⋆) | |
| ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₂ (inj₂ (- (tt , 𝔽 , 𝕋))) ⟧⟫ | |
| ∷ | |
| ⟪ ⇐ ∣ | |
| ((((id↔ ⊗ | |
| ((id↔ ⊚ dist ⊚ (swap⋆ ⊕ swap⋆)) ⊚ | |
| (id↔ ⊕ (swap₊ ⊗ id↔)) ⊚ (swap⋆ ⊕ swap⋆) ⊚ factor ⊚ swap⋆)) | |
| ⊕ (id↔ ⊗ (swap₊ ⊗ id↔))) | |
| ⊚ factor ⊚ assocl⋆ ⊚ (swap⋆ ⊗ id↔) ⊚ assocr⋆) | |
| ⊕ id↔) | |
| ⊚ | |
| (((id↔ ⊗ ((dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ (swap₊ ⊗ id↔))) | |
| ⊚ | |
| (assocl⋆ ⊚ | |
| ((swap⋆ ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ swap⋆) ⊗ id↔) ⊚ | |
| assocr⋆) | |
| ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₂ (inj₂ (- (tt , 𝔽 , 𝕋))) ⟧⟫ | |
| ∷ | |
| ⟪ ⇐ ∣ | |
| ((((id↔ ⊗ | |
| ((swap⋆ ⊚ dist ⊚ (swap⋆ ⊕ swap⋆)) ⊚ | |
| (id↔ ⊕ (swap₊ ⊗ id↔)) ⊚ (swap⋆ ⊕ swap⋆) ⊚ factor ⊚ swap⋆)) | |
| ⊕ (id↔ ⊗ (swap₊ ⊗ id↔))) | |
| ⊚ factor ⊚ assocl⋆ ⊚ (swap⋆ ⊗ id↔) ⊚ assocr⋆) | |
| ⊕ id↔) | |
| ⊚ | |
| (((id↔ ⊗ ((dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ (swap₊ ⊗ id↔))) | |
| ⊚ | |
| (assocl⋆ ⊚ | |
| ((swap⋆ ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ swap⋆) ⊗ id↔) ⊚ | |
| assocr⋆) | |
| ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₂ (inj₂ (- (tt , 𝔽 , 𝕋))) ⟧⟫ | |
| ∷ | |
| ⟪ ⇐ ∣ | |
| ((id↔ ⊚ | |
| ((id↔ ⊗ | |
| ((swap⋆ ⊚ dist ⊚ (swap⋆ ⊕ swap⋆)) ⊚ | |
| (id↔ ⊕ (swap₊ ⊗ id↔)) ⊚ (swap⋆ ⊕ swap⋆) ⊚ factor ⊚ swap⋆)) | |
| ⊕ (id↔ ⊗ (swap₊ ⊗ id↔))) | |
| ⊚ factor ⊚ assocl⋆ ⊚ (swap⋆ ⊗ id↔) ⊚ assocr⋆) | |
| ⊕ id↔) | |
| ⊚ | |
| (((id↔ ⊗ ((dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ (swap₊ ⊗ id↔))) | |
| ⊚ | |
| (assocl⋆ ⊚ | |
| ((swap⋆ ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ swap⋆) ⊗ id↔) ⊚ | |
| assocr⋆) | |
| ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₂ (inj₂ (- (tt , 𝔽 , 𝕋))) ⟧⟫ | |
| ∷ | |
| ⟪ ⇐ ∣ | |
| ((dist ⊚ | |
| ((id↔ ⊗ | |
| ((swap⋆ ⊚ dist ⊚ (swap⋆ ⊕ swap⋆)) ⊚ | |
| (id↔ ⊕ (swap₊ ⊗ id↔)) ⊚ (swap⋆ ⊕ swap⋆) ⊚ factor ⊚ swap⋆)) | |
| ⊕ (id↔ ⊗ (swap₊ ⊗ id↔))) | |
| ⊚ factor ⊚ assocl⋆ ⊚ (swap⋆ ⊗ id↔) ⊚ assocr⋆) | |
| ⊕ id↔) | |
| ⊚ | |
| (((id↔ ⊗ ((dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ (swap₊ ⊗ id↔))) | |
| ⊚ | |
| (assocl⋆ ⊚ | |
| ((swap⋆ ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ swap⋆) ⊗ id↔) ⊚ | |
| assocr⋆) | |
| ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₂ (inj₂ (- (tt , 𝔽 , 𝕋))) ⟧⟫ | |
| ∷ | |
| ⟪ ⇐ ∣ | |
| ((id↔ ⊚ | |
| dist ⊚ | |
| ((id↔ ⊗ | |
| ((swap⋆ ⊚ dist ⊚ (swap⋆ ⊕ swap⋆)) ⊚ | |
| (id↔ ⊕ (swap₊ ⊗ id↔)) ⊚ (swap⋆ ⊕ swap⋆) ⊚ factor ⊚ swap⋆)) | |
| ⊕ (id↔ ⊗ (swap₊ ⊗ id↔))) | |
| ⊚ factor ⊚ assocl⋆ ⊚ (swap⋆ ⊗ id↔) ⊚ assocr⋆) | |
| ⊕ id↔) | |
| ⊚ | |
| (((id↔ ⊗ ((dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ (swap₊ ⊗ id↔))) | |
| ⊚ | |
| (assocl⋆ ⊚ | |
| ((swap⋆ ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ swap⋆) ⊗ id↔) ⊚ | |
| assocr⋆) | |
| ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₂ (inj₂ (- (tt , 𝔽 , 𝕋))) ⟧⟫ | |
| ∷ | |
| ⟪ ⇐ ∣ | |
| ((assocr⋆ ⊚ | |
| dist ⊚ | |
| ((id↔ ⊗ | |
| ((swap⋆ ⊚ dist ⊚ (swap⋆ ⊕ swap⋆)) ⊚ | |
| (id↔ ⊕ (swap₊ ⊗ id↔)) ⊚ (swap⋆ ⊕ swap⋆) ⊚ factor ⊚ swap⋆)) | |
| ⊕ (id↔ ⊗ (swap₊ ⊗ id↔))) | |
| ⊚ factor ⊚ assocl⋆ ⊚ (swap⋆ ⊗ id↔) ⊚ assocr⋆) | |
| ⊕ id↔) | |
| ⊚ | |
| (((id↔ ⊗ ((dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ (swap₊ ⊗ id↔))) | |
| ⊚ | |
| (assocl⋆ ⊚ | |
| ((swap⋆ ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ swap⋆) ⊗ id↔) ⊚ | |
| assocr⋆) | |
| ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₂ (inj₂ (- (tt , 𝔽 , 𝕋))) ⟧⟫ | |
| ∷ | |
| ⟪ ⇐ ∣ | |
| ((id↔ ⊚ | |
| assocr⋆ ⊚ | |
| dist ⊚ | |
| ((id↔ ⊗ | |
| ((swap⋆ ⊚ dist ⊚ (swap⋆ ⊕ swap⋆)) ⊚ | |
| (id↔ ⊕ (swap₊ ⊗ id↔)) ⊚ (swap⋆ ⊕ swap⋆) ⊚ factor ⊚ swap⋆)) | |
| ⊕ (id↔ ⊗ (swap₊ ⊗ id↔))) | |
| ⊚ factor ⊚ assocl⋆ ⊚ (swap⋆ ⊗ id↔) ⊚ assocr⋆) | |
| ⊕ id↔) | |
| ⊚ | |
| (((id↔ ⊗ ((dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ (swap₊ ⊗ id↔))) | |
| ⊚ | |
| (assocl⋆ ⊚ | |
| ((swap⋆ ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ swap⋆) ⊗ id↔) ⊚ | |
| assocr⋆) | |
| ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₂ (inj₂ (- (tt , 𝔽 , 𝕋))) ⟧⟫ | |
| ∷ | |
| ⟪ ⇐ ∣ | |
| (((id↔ ⊗ id↔) ⊚ | |
| assocr⋆ ⊚ | |
| dist ⊚ | |
| ((id↔ ⊗ | |
| ((swap⋆ ⊚ dist ⊚ (swap⋆ ⊕ swap⋆)) ⊚ | |
| (id↔ ⊕ (swap₊ ⊗ id↔)) ⊚ (swap⋆ ⊕ swap⋆) ⊚ factor ⊚ swap⋆)) | |
| ⊕ (id↔ ⊗ (swap₊ ⊗ id↔))) | |
| ⊚ factor ⊚ assocl⋆ ⊚ (swap⋆ ⊗ id↔) ⊚ assocr⋆) | |
| ⊕ id↔) | |
| ⊚ | |
| (((id↔ ⊗ ((dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ (swap₊ ⊗ id↔))) | |
| ⊚ | |
| (assocl⋆ ⊚ | |
| ((swap⋆ ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ swap⋆) ⊗ id↔) ⊚ | |
| assocr⋆) | |
| ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₂ (inj₂ (- (tt , 𝔽 , 𝕋))) ⟧⟫ | |
| ∷ | |
| ⟪ ⇐ ∣ | |
| (((swap⋆ ⊗ id↔) ⊚ | |
| assocr⋆ ⊚ | |
| dist ⊚ | |
| ((id↔ ⊗ | |
| ((swap⋆ ⊚ dist ⊚ (swap⋆ ⊕ swap⋆)) ⊚ | |
| (id↔ ⊕ (swap₊ ⊗ id↔)) ⊚ (swap⋆ ⊕ swap⋆) ⊚ factor ⊚ swap⋆)) | |
| ⊕ (id↔ ⊗ (swap₊ ⊗ id↔))) | |
| ⊚ factor ⊚ assocl⋆ ⊚ (swap⋆ ⊗ id↔) ⊚ assocr⋆) | |
| ⊕ id↔) | |
| ⊚ | |
| (((id↔ ⊗ ((dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ (swap₊ ⊗ id↔))) | |
| ⊚ | |
| (assocl⋆ ⊚ | |
| ((swap⋆ ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ swap⋆) ⊗ id↔) ⊚ | |
| assocr⋆) | |
| ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₂ (inj₂ (- (tt , 𝔽 , 𝕋))) ⟧⟫ | |
| ∷ | |
| ⟪ ⇐ ∣ | |
| ((id↔ ⊚ | |
| (swap⋆ ⊗ id↔) ⊚ | |
| assocr⋆ ⊚ | |
| dist ⊚ | |
| ((id↔ ⊗ | |
| ((swap⋆ ⊚ dist ⊚ (swap⋆ ⊕ swap⋆)) ⊚ | |
| (id↔ ⊕ (swap₊ ⊗ id↔)) ⊚ (swap⋆ ⊕ swap⋆) ⊚ factor ⊚ swap⋆)) | |
| ⊕ (id↔ ⊗ (swap₊ ⊗ id↔))) | |
| ⊚ factor ⊚ assocl⋆ ⊚ (swap⋆ ⊗ id↔) ⊚ assocr⋆) | |
| ⊕ id↔) | |
| ⊚ | |
| (((id↔ ⊗ ((dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ (swap₊ ⊗ id↔))) | |
| ⊚ | |
| (assocl⋆ ⊚ | |
| ((swap⋆ ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ swap⋆) ⊗ id↔) ⊚ | |
| assocr⋆) | |
| ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₂ (inj₂ (- (tt , 𝔽 , 𝕋))) ⟧⟫ | |
| ∷ | |
| ⟪ ⇐ ∣ | |
| ((assocl⋆ ⊚ | |
| (swap⋆ ⊗ id↔) ⊚ | |
| assocr⋆ ⊚ | |
| dist ⊚ | |
| ((id↔ ⊗ | |
| ((swap⋆ ⊚ dist ⊚ (swap⋆ ⊕ swap⋆)) ⊚ | |
| (id↔ ⊕ (swap₊ ⊗ id↔)) ⊚ (swap⋆ ⊕ swap⋆) ⊚ factor ⊚ swap⋆)) | |
| ⊕ (id↔ ⊗ (swap₊ ⊗ id↔))) | |
| ⊚ factor ⊚ assocl⋆ ⊚ (swap⋆ ⊗ id↔) ⊚ assocr⋆) | |
| ⊕ id↔) | |
| ⊚ | |
| (((id↔ ⊗ ((dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ (swap₊ ⊗ id↔))) | |
| ⊚ | |
| (assocl⋆ ⊚ | |
| ((swap⋆ ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ swap⋆) ⊗ id↔) ⊚ | |
| assocr⋆) | |
| ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₂ (inj₂ (- (tt , 𝔽 , 𝕋))) ⟧⟫ | |
| ∷ | |
| ⟪ ⇐ ∣ | |
| id↔ ⊚ | |
| ((assocl⋆ ⊚ | |
| (swap⋆ ⊗ id↔) ⊚ | |
| assocr⋆ ⊚ | |
| dist ⊚ | |
| ((id↔ ⊗ | |
| ((swap⋆ ⊚ dist ⊚ (swap⋆ ⊕ swap⋆)) ⊚ | |
| (id↔ ⊕ (swap₊ ⊗ id↔)) ⊚ (swap⋆ ⊕ swap⋆) ⊚ factor ⊚ swap⋆)) | |
| ⊕ (id↔ ⊗ (swap₊ ⊗ id↔))) | |
| ⊚ factor ⊚ assocl⋆ ⊚ (swap⋆ ⊗ id↔) ⊚ assocr⋆) | |
| ⊕ id↔) | |
| ⊚ | |
| (((id↔ ⊗ ((dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ (swap₊ ⊗ id↔))) | |
| ⊚ | |
| (assocl⋆ ⊚ | |
| ((swap⋆ ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ swap⋆) ⊗ id↔) ⊚ | |
| assocr⋆) | |
| ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₂ (inj₂ (- (tt , 𝔽 , 𝕋))) ⟧⟫ | |
| ∷ | |
| ⟪ ⇐ ∣ | |
| (id↔ ⊕ id↔) ⊚ | |
| ((assocl⋆ ⊚ | |
| (swap⋆ ⊗ id↔) ⊚ | |
| assocr⋆ ⊚ | |
| dist ⊚ | |
| ((id↔ ⊗ | |
| ((swap⋆ ⊚ dist ⊚ (swap⋆ ⊕ swap⋆)) ⊚ | |
| (id↔ ⊕ (swap₊ ⊗ id↔)) ⊚ (swap⋆ ⊕ swap⋆) ⊚ factor ⊚ swap⋆)) | |
| ⊕ (id↔ ⊗ (swap₊ ⊗ id↔))) | |
| ⊚ factor ⊚ assocl⋆ ⊚ (swap⋆ ⊗ id↔) ⊚ assocr⋆) | |
| ⊕ id↔) | |
| ⊚ | |
| (((id↔ ⊗ ((dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ (swap₊ ⊗ id↔))) | |
| ⊚ | |
| (assocl⋆ ⊚ | |
| ((swap⋆ ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ swap⋆) ⊗ id↔) ⊚ | |
| assocr⋆) | |
| ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₂ (inj₂ (- (tt , 𝔽 , 𝕋))) ⟧⟫ | |
| ∷ | |
| ⟪ ⇐ ∣ | |
| (factor ⊕ id↔) ⊚ | |
| ((assocl⋆ ⊚ | |
| (swap⋆ ⊗ id↔) ⊚ | |
| assocr⋆ ⊚ | |
| dist ⊚ | |
| ((id↔ ⊗ | |
| ((swap⋆ ⊚ dist ⊚ (swap⋆ ⊕ swap⋆)) ⊚ | |
| (id↔ ⊕ (swap₊ ⊗ id↔)) ⊚ (swap⋆ ⊕ swap⋆) ⊚ factor ⊚ swap⋆)) | |
| ⊕ (id↔ ⊗ (swap₊ ⊗ id↔))) | |
| ⊚ factor ⊚ assocl⋆ ⊚ (swap⋆ ⊗ id↔) ⊚ assocr⋆) | |
| ⊕ id↔) | |
| ⊚ | |
| (((id↔ ⊗ ((dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ (swap₊ ⊗ id↔))) | |
| ⊚ | |
| (assocl⋆ ⊚ | |
| ((swap⋆ ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ swap⋆) ⊗ id↔) ⊚ | |
| assocr⋆) | |
| ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₂ (inj₂ (- (tt , 𝔽 , 𝕋))) ⟧⟫ | |
| ∷ | |
| ⟪ ⇐ ∣ | |
| id↔ ⊚ | |
| (factor ⊕ id↔) ⊚ | |
| ((assocl⋆ ⊚ | |
| (swap⋆ ⊗ id↔) ⊚ | |
| assocr⋆ ⊚ | |
| dist ⊚ | |
| ((id↔ ⊗ | |
| ((swap⋆ ⊚ dist ⊚ (swap⋆ ⊕ swap⋆)) ⊚ | |
| (id↔ ⊕ (swap₊ ⊗ id↔)) ⊚ (swap⋆ ⊕ swap⋆) ⊚ factor ⊚ swap⋆)) | |
| ⊕ (id↔ ⊗ (swap₊ ⊗ id↔))) | |
| ⊚ factor ⊚ assocl⋆ ⊚ (swap⋆ ⊗ id↔) ⊚ assocr⋆) | |
| ⊕ id↔) | |
| ⊚ | |
| (((id↔ ⊗ ((dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ (swap₊ ⊗ id↔))) | |
| ⊚ | |
| (assocl⋆ ⊚ | |
| ((swap⋆ ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ swap⋆) ⊗ id↔) ⊚ | |
| assocr⋆) | |
| ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₂ (inj₂ (- (tt , 𝔽 , 𝕋))) ⟧⟫ | |
| ∷ | |
| ⟪ ⇐ ∣ | |
| (id↔ ⊕ id↔) ⊚ | |
| (factor ⊕ id↔) ⊚ | |
| ((assocl⋆ ⊚ | |
| (swap⋆ ⊗ id↔) ⊚ | |
| assocr⋆ ⊚ | |
| dist ⊚ | |
| ((id↔ ⊗ | |
| ((swap⋆ ⊚ dist ⊚ (swap⋆ ⊕ swap⋆)) ⊚ | |
| (id↔ ⊕ (swap₊ ⊗ id↔)) ⊚ (swap⋆ ⊕ swap⋆) ⊚ factor ⊚ swap⋆)) | |
| ⊕ (id↔ ⊗ (swap₊ ⊗ id↔))) | |
| ⊚ factor ⊚ assocl⋆ ⊚ (swap⋆ ⊗ id↔) ⊚ assocr⋆) | |
| ⊕ id↔) | |
| ⊚ | |
| (((id↔ ⊗ ((dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ (swap₊ ⊗ id↔))) | |
| ⊚ | |
| (assocl⋆ ⊚ | |
| ((swap⋆ ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ swap⋆) ⊗ id↔) ⊚ | |
| assocr⋆) | |
| ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₂ (inj₂ (- (tt , 𝔽 , 𝕋))) ⟧⟫ | |
| ∷ | |
| ⟪ ⇐ ∣ | |
| ((id↔ ⊕ id↔) ⊕ id↔) ⊚ | |
| (factor ⊕ id↔) ⊚ | |
| ((assocl⋆ ⊚ | |
| (swap⋆ ⊗ id↔) ⊚ | |
| assocr⋆ ⊚ | |
| dist ⊚ | |
| ((id↔ ⊗ | |
| ((swap⋆ ⊚ dist ⊚ (swap⋆ ⊕ swap⋆)) ⊚ | |
| (id↔ ⊕ (swap₊ ⊗ id↔)) ⊚ (swap⋆ ⊕ swap⋆) ⊚ factor ⊚ swap⋆)) | |
| ⊕ (id↔ ⊗ (swap₊ ⊗ id↔))) | |
| ⊚ factor ⊚ assocl⋆ ⊚ (swap⋆ ⊗ id↔) ⊚ assocr⋆) | |
| ⊕ id↔) | |
| ⊚ | |
| (((id↔ ⊗ ((dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ (swap₊ ⊗ id↔))) | |
| ⊚ | |
| (assocl⋆ ⊚ | |
| ((swap⋆ ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ swap⋆) ⊗ id↔) ⊚ | |
| assocr⋆) | |
| ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₂ (inj₂ (- (tt , 𝔽 , 𝕋))) ⟧⟫ | |
| ∷ | |
| ⟪ ⇐ ∣ | |
| ((id↔ ⊕ (id↔ ⊗ id↔)) ⊕ id↔) ⊚ | |
| (factor ⊕ id↔) ⊚ | |
| ((assocl⋆ ⊚ | |
| (swap⋆ ⊗ id↔) ⊚ | |
| assocr⋆ ⊚ | |
| dist ⊚ | |
| ((id↔ ⊗ | |
| ((swap⋆ ⊚ dist ⊚ (swap⋆ ⊕ swap⋆)) ⊚ | |
| (id↔ ⊕ (swap₊ ⊗ id↔)) ⊚ (swap⋆ ⊕ swap⋆) ⊚ factor ⊚ swap⋆)) | |
| ⊕ (id↔ ⊗ (swap₊ ⊗ id↔))) | |
| ⊚ factor ⊚ assocl⋆ ⊚ (swap⋆ ⊗ id↔) ⊚ assocr⋆) | |
| ⊕ id↔) | |
| ⊚ | |
| (((id↔ ⊗ ((dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ (swap₊ ⊗ id↔))) | |
| ⊚ | |
| (assocl⋆ ⊚ | |
| ((swap⋆ ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ swap⋆) ⊗ id↔) ⊚ | |
| assocr⋆) | |
| ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₂ (inj₂ (- (tt , 𝔽 , 𝕋))) ⟧⟫ | |
| ∷ | |
| ⟪ ⇐ ∣ | |
| ((id↔ ⊕ (id↔ ⊗ swap⋆)) ⊕ id↔) ⊚ | |
| (factor ⊕ id↔) ⊚ | |
| ((assocl⋆ ⊚ | |
| (swap⋆ ⊗ id↔) ⊚ | |
| assocr⋆ ⊚ | |
| dist ⊚ | |
| ((id↔ ⊗ | |
| ((swap⋆ ⊚ dist ⊚ (swap⋆ ⊕ swap⋆)) ⊚ | |
| (id↔ ⊕ (swap₊ ⊗ id↔)) ⊚ (swap⋆ ⊕ swap⋆) ⊚ factor ⊚ swap⋆)) | |
| ⊕ (id↔ ⊗ (swap₊ ⊗ id↔))) | |
| ⊚ factor ⊚ assocl⋆ ⊚ (swap⋆ ⊗ id↔) ⊚ assocr⋆) | |
| ⊕ id↔) | |
| ⊚ | |
| (((id↔ ⊗ ((dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ (swap₊ ⊗ id↔))) | |
| ⊚ | |
| (assocl⋆ ⊚ | |
| ((swap⋆ ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ swap⋆) ⊗ id↔) ⊚ | |
| assocr⋆) | |
| ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₂ (inj₂ (- (tt , 𝔽 , 𝕋))) ⟧⟫ | |
| ∷ | |
| ⟪ ⇐ ∣ | |
| ((id↔ ⊕ (id↔ ⊗ (id↔ ⊚ swap⋆))) ⊕ id↔) ⊚ | |
| (factor ⊕ id↔) ⊚ | |
| ((assocl⋆ ⊚ | |
| (swap⋆ ⊗ id↔) ⊚ | |
| assocr⋆ ⊚ | |
| dist ⊚ | |
| ((id↔ ⊗ | |
| ((swap⋆ ⊚ dist ⊚ (swap⋆ ⊕ swap⋆)) ⊚ | |
| (id↔ ⊕ (swap₊ ⊗ id↔)) ⊚ (swap⋆ ⊕ swap⋆) ⊚ factor ⊚ swap⋆)) | |
| ⊕ (id↔ ⊗ (swap₊ ⊗ id↔))) | |
| ⊚ factor ⊚ assocl⋆ ⊚ (swap⋆ ⊗ id↔) ⊚ assocr⋆) | |
| ⊕ id↔) | |
| ⊚ | |
| (((id↔ ⊗ ((dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ (swap₊ ⊗ id↔))) | |
| ⊚ | |
| (assocl⋆ ⊚ | |
| ((swap⋆ ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ swap⋆) ⊗ id↔) ⊚ | |
| assocr⋆) | |
| ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₂ (inj₂ (- (tt , 𝔽 , 𝕋))) ⟧⟫ | |
| ∷ | |
| ⟪ ⇐ ∣ | |
| ((id↔ ⊕ (id↔ ⊗ (factor ⊚ swap⋆))) ⊕ id↔) ⊚ | |
| (factor ⊕ id↔) ⊚ | |
| ((assocl⋆ ⊚ | |
| (swap⋆ ⊗ id↔) ⊚ | |
| assocr⋆ ⊚ | |
| dist ⊚ | |
| ((id↔ ⊗ | |
| ((swap⋆ ⊚ dist ⊚ (swap⋆ ⊕ swap⋆)) ⊚ | |
| (id↔ ⊕ (swap₊ ⊗ id↔)) ⊚ (swap⋆ ⊕ swap⋆) ⊚ factor ⊚ swap⋆)) | |
| ⊕ (id↔ ⊗ (swap₊ ⊗ id↔))) | |
| ⊚ factor ⊚ assocl⋆ ⊚ (swap⋆ ⊗ id↔) ⊚ assocr⋆) | |
| ⊕ id↔) | |
| ⊚ | |
| (((id↔ ⊗ ((dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ (swap₊ ⊗ id↔))) | |
| ⊚ | |
| (assocl⋆ ⊚ | |
| ((swap⋆ ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ swap⋆) ⊗ id↔) ⊚ | |
| assocr⋆) | |
| ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₂ (inj₂ (- (tt , 𝔽 , 𝕋))) ⟧⟫ | |
| ∷ | |
| ⟪ ⇐ ∣ | |
| ((id↔ ⊕ (id↔ ⊗ (id↔ ⊚ factor ⊚ swap⋆))) ⊕ id↔) ⊚ | |
| (factor ⊕ id↔) ⊚ | |
| ((assocl⋆ ⊚ | |
| (swap⋆ ⊗ id↔) ⊚ | |
| assocr⋆ ⊚ | |
| dist ⊚ | |
| ((id↔ ⊗ | |
| ((swap⋆ ⊚ dist ⊚ (swap⋆ ⊕ swap⋆)) ⊚ | |
| (id↔ ⊕ (swap₊ ⊗ id↔)) ⊚ (swap⋆ ⊕ swap⋆) ⊚ factor ⊚ swap⋆)) | |
| ⊕ (id↔ ⊗ (swap₊ ⊗ id↔))) | |
| ⊚ factor ⊚ assocl⋆ ⊚ (swap⋆ ⊗ id↔) ⊚ assocr⋆) | |
| ⊕ id↔) | |
| ⊚ | |
| (((id↔ ⊗ ((dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ (swap₊ ⊗ id↔))) | |
| ⊚ | |
| (assocl⋆ ⊚ | |
| ((swap⋆ ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ swap⋆) ⊗ id↔) ⊚ | |
| assocr⋆) | |
| ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₂ (inj₂ (- (tt , 𝔽 , 𝕋))) ⟧⟫ | |
| ∷ | |
| ⟪ ⇐ ∣ | |
| ((id↔ ⊕ (id↔ ⊗ ((id↔ ⊕ id↔) ⊚ factor ⊚ swap⋆))) ⊕ id↔) ⊚ | |
| (factor ⊕ id↔) ⊚ | |
| ((assocl⋆ ⊚ | |
| (swap⋆ ⊗ id↔) ⊚ | |
| assocr⋆ ⊚ | |
| dist ⊚ | |
| ((id↔ ⊗ | |
| ((swap⋆ ⊚ dist ⊚ (swap⋆ ⊕ swap⋆)) ⊚ | |
| (id↔ ⊕ (swap₊ ⊗ id↔)) ⊚ (swap⋆ ⊕ swap⋆) ⊚ factor ⊚ swap⋆)) | |
| ⊕ (id↔ ⊗ (swap₊ ⊗ id↔))) | |
| ⊚ factor ⊚ assocl⋆ ⊚ (swap⋆ ⊗ id↔) ⊚ assocr⋆) | |
| ⊕ id↔) | |
| ⊚ | |
| (((id↔ ⊗ ((dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ (swap₊ ⊗ id↔))) | |
| ⊚ | |
| (assocl⋆ ⊚ | |
| ((swap⋆ ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ swap⋆) ⊗ id↔) ⊚ | |
| assocr⋆) | |
| ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₂ (inj₂ (- (tt , 𝔽 , 𝕋))) ⟧⟫ | |
| ∷ | |
| ⟪ ⇐ ∣ | |
| ((id↔ ⊕ (id↔ ⊗ ((id↔ ⊕ swap⋆) ⊚ factor ⊚ swap⋆))) ⊕ id↔) ⊚ | |
| (factor ⊕ id↔) ⊚ | |
| ((assocl⋆ ⊚ | |
| (swap⋆ ⊗ id↔) ⊚ | |
| assocr⋆ ⊚ | |
| dist ⊚ | |
| ((id↔ ⊗ | |
| ((swap⋆ ⊚ dist ⊚ (swap⋆ ⊕ swap⋆)) ⊚ | |
| (id↔ ⊕ (swap₊ ⊗ id↔)) ⊚ (swap⋆ ⊕ swap⋆) ⊚ factor ⊚ swap⋆)) | |
| ⊕ (id↔ ⊗ (swap₊ ⊗ id↔))) | |
| ⊚ factor ⊚ assocl⋆ ⊚ (swap⋆ ⊗ id↔) ⊚ assocr⋆) | |
| ⊕ id↔) | |
| ⊚ | |
| (((id↔ ⊗ ((dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ (swap₊ ⊗ id↔))) | |
| ⊚ | |
| (assocl⋆ ⊚ | |
| ((swap⋆ ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ swap⋆) ⊗ id↔) ⊚ | |
| assocr⋆) | |
| ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₂ (inj₂ (- (tt , 𝔽 , 𝕋))) ⟧⟫ | |
| ∷ | |
| ⟪ ⇐ ∣ | |
| ((id↔ ⊕ (id↔ ⊗ ((swap⋆ ⊕ swap⋆) ⊚ factor ⊚ swap⋆))) ⊕ id↔) ⊚ | |
| (factor ⊕ id↔) ⊚ | |
| ((assocl⋆ ⊚ | |
| (swap⋆ ⊗ id↔) ⊚ | |
| assocr⋆ ⊚ | |
| dist ⊚ | |
| ((id↔ ⊗ | |
| ((swap⋆ ⊚ dist ⊚ (swap⋆ ⊕ swap⋆)) ⊚ | |
| (id↔ ⊕ (swap₊ ⊗ id↔)) ⊚ (swap⋆ ⊕ swap⋆) ⊚ factor ⊚ swap⋆)) | |
| ⊕ (id↔ ⊗ (swap₊ ⊗ id↔))) | |
| ⊚ factor ⊚ assocl⋆ ⊚ (swap⋆ ⊗ id↔) ⊚ assocr⋆) | |
| ⊕ id↔) | |
| ⊚ | |
| (((id↔ ⊗ ((dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ (swap₊ ⊗ id↔))) | |
| ⊚ | |
| (assocl⋆ ⊚ | |
| ((swap⋆ ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ swap⋆) ⊗ id↔) ⊚ | |
| assocr⋆) | |
| ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₂ (inj₂ (- (tt , 𝔽 , 𝕋))) ⟧⟫ | |
| ∷ | |
| ⟪ ⇐ ∣ | |
| ((id↔ ⊕ (id↔ ⊗ (id↔ ⊚ (swap⋆ ⊕ swap⋆) ⊚ factor ⊚ swap⋆))) ⊕ id↔) ⊚ | |
| (factor ⊕ id↔) ⊚ | |
| ((assocl⋆ ⊚ | |
| (swap⋆ ⊗ id↔) ⊚ | |
| assocr⋆ ⊚ | |
| dist ⊚ | |
| ((id↔ ⊗ | |
| ((swap⋆ ⊚ dist ⊚ (swap⋆ ⊕ swap⋆)) ⊚ | |
| (id↔ ⊕ (swap₊ ⊗ id↔)) ⊚ (swap⋆ ⊕ swap⋆) ⊚ factor ⊚ swap⋆)) | |
| ⊕ (id↔ ⊗ (swap₊ ⊗ id↔))) | |
| ⊚ factor ⊚ assocl⋆ ⊚ (swap⋆ ⊗ id↔) ⊚ assocr⋆) | |
| ⊕ id↔) | |
| ⊚ | |
| (((id↔ ⊗ ((dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ (swap₊ ⊗ id↔))) | |
| ⊚ | |
| (assocl⋆ ⊚ | |
| ((swap⋆ ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ swap⋆) ⊗ id↔) ⊚ | |
| assocr⋆) | |
| ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₂ (inj₂ (- (tt , 𝔽 , 𝕋))) ⟧⟫ | |
| ∷ | |
| ⟪ ⇐ ∣ | |
| ((id↔ ⊕ (id↔ ⊗ ((id↔ ⊕ id↔) ⊚ (swap⋆ ⊕ swap⋆) ⊚ factor ⊚ swap⋆))) ⊕ | |
| id↔) | |
| ⊚ | |
| (factor ⊕ id↔) ⊚ | |
| ((assocl⋆ ⊚ | |
| (swap⋆ ⊗ id↔) ⊚ | |
| assocr⋆ ⊚ | |
| dist ⊚ | |
| ((id↔ ⊗ | |
| ((swap⋆ ⊚ dist ⊚ (swap⋆ ⊕ swap⋆)) ⊚ | |
| (id↔ ⊕ (swap₊ ⊗ id↔)) ⊚ (swap⋆ ⊕ swap⋆) ⊚ factor ⊚ swap⋆)) | |
| ⊕ (id↔ ⊗ (swap₊ ⊗ id↔))) | |
| ⊚ factor ⊚ assocl⋆ ⊚ (swap⋆ ⊗ id↔) ⊚ assocr⋆) | |
| ⊕ id↔) | |
| ⊚ | |
| (((id↔ ⊗ ((dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ (swap₊ ⊗ id↔))) | |
| ⊚ | |
| (assocl⋆ ⊚ | |
| ((swap⋆ ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ swap⋆) ⊗ id↔) ⊚ | |
| assocr⋆) | |
| ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₂ (inj₂ (- (tt , 𝔽 , 𝕋))) ⟧⟫ | |
| ∷ | |
| ⟪ ⇐ ∣ | |
| ((id↔ ⊕ | |
| (id↔ ⊗ (((id↔ ⊗ id↔) ⊕ id↔) ⊚ (swap⋆ ⊕ swap⋆) ⊚ factor ⊚ swap⋆))) | |
| ⊕ id↔) | |
| ⊚ | |
| (factor ⊕ id↔) ⊚ | |
| ((assocl⋆ ⊚ | |
| (swap⋆ ⊗ id↔) ⊚ | |
| assocr⋆ ⊚ | |
| dist ⊚ | |
| ((id↔ ⊗ | |
| ((swap⋆ ⊚ dist ⊚ (swap⋆ ⊕ swap⋆)) ⊚ | |
| (id↔ ⊕ (swap₊ ⊗ id↔)) ⊚ (swap⋆ ⊕ swap⋆) ⊚ factor ⊚ swap⋆)) | |
| ⊕ (id↔ ⊗ (swap₊ ⊗ id↔))) | |
| ⊚ factor ⊚ assocl⋆ ⊚ (swap⋆ ⊗ id↔) ⊚ assocr⋆) | |
| ⊕ id↔) | |
| ⊚ | |
| (((id↔ ⊗ ((dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ (swap₊ ⊗ id↔))) | |
| ⊚ | |
| (assocl⋆ ⊚ | |
| ((swap⋆ ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ swap⋆) ⊗ id↔) ⊚ | |
| assocr⋆) | |
| ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₂ (inj₂ (- (tt , 𝔽 , 𝕋))) ⟧⟫ | |
| ∷ | |
| ⟪ ⇐ ∣ | |
| ((id↔ ⊕ | |
| (id↔ ⊗ (((swap₊ ⊗ id↔) ⊕ id↔) ⊚ (swap⋆ ⊕ swap⋆) ⊚ factor ⊚ swap⋆))) | |
| ⊕ id↔) | |
| ⊚ | |
| (factor ⊕ id↔) ⊚ | |
| ((assocl⋆ ⊚ | |
| (swap⋆ ⊗ id↔) ⊚ | |
| assocr⋆ ⊚ | |
| dist ⊚ | |
| ((id↔ ⊗ | |
| ((swap⋆ ⊚ dist ⊚ (swap⋆ ⊕ swap⋆)) ⊚ | |
| (id↔ ⊕ (swap₊ ⊗ id↔)) ⊚ (swap⋆ ⊕ swap⋆) ⊚ factor ⊚ swap⋆)) | |
| ⊕ (id↔ ⊗ (swap₊ ⊗ id↔))) | |
| ⊚ factor ⊚ assocl⋆ ⊚ (swap⋆ ⊗ id↔) ⊚ assocr⋆) | |
| ⊕ id↔) | |
| ⊚ | |
| (((id↔ ⊗ ((dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ (swap₊ ⊗ id↔))) | |
| ⊚ | |
| (assocl⋆ ⊚ | |
| ((swap⋆ ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ swap⋆) ⊗ id↔) ⊚ | |
| assocr⋆) | |
| ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₂ (inj₂ (- (tt , 𝔽 , 𝕋))) ⟧⟫ | |
| ∷ | |
| ⟪ ⇐ ∣ | |
| ((id↔ ⊕ | |
| (id↔ ⊗ | |
| (id↔ ⊚ ((swap₊ ⊗ id↔) ⊕ id↔) ⊚ (swap⋆ ⊕ swap⋆) ⊚ factor ⊚ swap⋆))) | |
| ⊕ id↔) | |
| ⊚ | |
| (factor ⊕ id↔) ⊚ | |
| ((assocl⋆ ⊚ | |
| (swap⋆ ⊗ id↔) ⊚ | |
| assocr⋆ ⊚ | |
| dist ⊚ | |
| ((id↔ ⊗ | |
| ((swap⋆ ⊚ dist ⊚ (swap⋆ ⊕ swap⋆)) ⊚ | |
| (id↔ ⊕ (swap₊ ⊗ id↔)) ⊚ (swap⋆ ⊕ swap⋆) ⊚ factor ⊚ swap⋆)) | |
| ⊕ (id↔ ⊗ (swap₊ ⊗ id↔))) | |
| ⊚ factor ⊚ assocl⋆ ⊚ (swap⋆ ⊗ id↔) ⊚ assocr⋆) | |
| ⊕ id↔) | |
| ⊚ | |
| (((id↔ ⊗ ((dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ (swap₊ ⊗ id↔))) | |
| ⊚ | |
| (assocl⋆ ⊚ | |
| ((swap⋆ ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ swap⋆) ⊗ id↔) ⊚ | |
| assocr⋆) | |
| ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₂ (inj₂ (- (tt , 𝔽 , 𝕋))) ⟧⟫ | |
| ∷ | |
| ⟪ ⇐ ∣ | |
| ((id↔ ⊕ | |
| (id↔ ⊗ | |
| ((id↔ ⊕ id↔) ⊚ | |
| ((swap₊ ⊗ id↔) ⊕ id↔) ⊚ (swap⋆ ⊕ swap⋆) ⊚ factor ⊚ swap⋆))) | |
| ⊕ id↔) | |
| ⊚ | |
| (factor ⊕ id↔) ⊚ | |
| ((assocl⋆ ⊚ | |
| (swap⋆ ⊗ id↔) ⊚ | |
| assocr⋆ ⊚ | |
| dist ⊚ | |
| ((id↔ ⊗ | |
| ((swap⋆ ⊚ dist ⊚ (swap⋆ ⊕ swap⋆)) ⊚ | |
| (id↔ ⊕ (swap₊ ⊗ id↔)) ⊚ (swap⋆ ⊕ swap⋆) ⊚ factor ⊚ swap⋆)) | |
| ⊕ (id↔ ⊗ (swap₊ ⊗ id↔))) | |
| ⊚ factor ⊚ assocl⋆ ⊚ (swap⋆ ⊗ id↔) ⊚ assocr⋆) | |
| ⊕ id↔) | |
| ⊚ | |
| (((id↔ ⊗ ((dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ (swap₊ ⊗ id↔))) | |
| ⊚ | |
| (assocl⋆ ⊚ | |
| ((swap⋆ ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ swap⋆) ⊗ id↔) ⊚ | |
| assocr⋆) | |
| ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₂ (inj₂ (- (tt , 𝔽 , 𝕋))) ⟧⟫ | |
| ∷ | |
| ⟪ ⇐ ∣ | |
| ((id↔ ⊕ | |
| (id↔ ⊗ | |
| ((id↔ ⊕ swap⋆) ⊚ | |
| ((swap₊ ⊗ id↔) ⊕ id↔) ⊚ (swap⋆ ⊕ swap⋆) ⊚ factor ⊚ swap⋆))) | |
| ⊕ id↔) | |
| ⊚ | |
| (factor ⊕ id↔) ⊚ | |
| ((assocl⋆ ⊚ | |
| (swap⋆ ⊗ id↔) ⊚ | |
| assocr⋆ ⊚ | |
| dist ⊚ | |
| ((id↔ ⊗ | |
| ((swap⋆ ⊚ dist ⊚ (swap⋆ ⊕ swap⋆)) ⊚ | |
| (id↔ ⊕ (swap₊ ⊗ id↔)) ⊚ (swap⋆ ⊕ swap⋆) ⊚ factor ⊚ swap⋆)) | |
| ⊕ (id↔ ⊗ (swap₊ ⊗ id↔))) | |
| ⊚ factor ⊚ assocl⋆ ⊚ (swap⋆ ⊗ id↔) ⊚ assocr⋆) | |
| ⊕ id↔) | |
| ⊚ | |
| (((id↔ ⊗ ((dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ (swap₊ ⊗ id↔))) | |
| ⊚ | |
| (assocl⋆ ⊚ | |
| ((swap⋆ ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ swap⋆) ⊗ id↔) ⊚ | |
| assocr⋆) | |
| ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₂ (inj₂ (- (tt , 𝔽 , 𝕋))) ⟧⟫ | |
| ∷ | |
| ⟪ ⇐ ∣ | |
| ((id↔ ⊕ | |
| (id↔ ⊗ | |
| ((swap⋆ ⊕ swap⋆) ⊚ | |
| ((swap₊ ⊗ id↔) ⊕ id↔) ⊚ (swap⋆ ⊕ swap⋆) ⊚ factor ⊚ swap⋆))) | |
| ⊕ id↔) | |
| ⊚ | |
| (factor ⊕ id↔) ⊚ | |
| ((assocl⋆ ⊚ | |
| (swap⋆ ⊗ id↔) ⊚ | |
| assocr⋆ ⊚ | |
| dist ⊚ | |
| ((id↔ ⊗ | |
| ((swap⋆ ⊚ dist ⊚ (swap⋆ ⊕ swap⋆)) ⊚ | |
| (id↔ ⊕ (swap₊ ⊗ id↔)) ⊚ (swap⋆ ⊕ swap⋆) ⊚ factor ⊚ swap⋆)) | |
| ⊕ (id↔ ⊗ (swap₊ ⊗ id↔))) | |
| ⊚ factor ⊚ assocl⋆ ⊚ (swap⋆ ⊗ id↔) ⊚ assocr⋆) | |
| ⊕ id↔) | |
| ⊚ | |
| (((id↔ ⊗ ((dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ (swap₊ ⊗ id↔))) | |
| ⊚ | |
| (assocl⋆ ⊚ | |
| ((swap⋆ ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ swap⋆) ⊗ id↔) ⊚ | |
| assocr⋆) | |
| ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₂ (inj₂ (- (tt , 𝔽 , 𝕋))) ⟧⟫ | |
| ∷ | |
| ⟪ ⇐ ∣ | |
| ((id↔ ⊕ | |
| (id↔ ⊗ | |
| ((id↔ ⊚ (swap⋆ ⊕ swap⋆)) ⊚ | |
| ((swap₊ ⊗ id↔) ⊕ id↔) ⊚ (swap⋆ ⊕ swap⋆) ⊚ factor ⊚ swap⋆))) | |
| ⊕ id↔) | |
| ⊚ | |
| (factor ⊕ id↔) ⊚ | |
| ((assocl⋆ ⊚ | |
| (swap⋆ ⊗ id↔) ⊚ | |
| assocr⋆ ⊚ | |
| dist ⊚ | |
| ((id↔ ⊗ | |
| ((swap⋆ ⊚ dist ⊚ (swap⋆ ⊕ swap⋆)) ⊚ | |
| (id↔ ⊕ (swap₊ ⊗ id↔)) ⊚ (swap⋆ ⊕ swap⋆) ⊚ factor ⊚ swap⋆)) | |
| ⊕ (id↔ ⊗ (swap₊ ⊗ id↔))) | |
| ⊚ factor ⊚ assocl⋆ ⊚ (swap⋆ ⊗ id↔) ⊚ assocr⋆) | |
| ⊕ id↔) | |
| ⊚ | |
| (((id↔ ⊗ ((dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ (swap₊ ⊗ id↔))) | |
| ⊚ | |
| (assocl⋆ ⊚ | |
| ((swap⋆ ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ swap⋆) ⊗ id↔) ⊚ | |
| assocr⋆) | |
| ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₂ (inj₂ (- (tt , 𝔽 , 𝕋))) ⟧⟫ | |
| ∷ | |
| ⟪ ⇐ ∣ | |
| ((id↔ ⊕ | |
| (id↔ ⊗ | |
| ((dist ⊚ (swap⋆ ⊕ swap⋆)) ⊚ | |
| ((swap₊ ⊗ id↔) ⊕ id↔) ⊚ (swap⋆ ⊕ swap⋆) ⊚ factor ⊚ swap⋆))) | |
| ⊕ id↔) | |
| ⊚ | |
| (factor ⊕ id↔) ⊚ | |
| ((assocl⋆ ⊚ | |
| (swap⋆ ⊗ id↔) ⊚ | |
| assocr⋆ ⊚ | |
| dist ⊚ | |
| ((id↔ ⊗ | |
| ((swap⋆ ⊚ dist ⊚ (swap⋆ ⊕ swap⋆)) ⊚ | |
| (id↔ ⊕ (swap₊ ⊗ id↔)) ⊚ (swap⋆ ⊕ swap⋆) ⊚ factor ⊚ swap⋆)) | |
| ⊕ (id↔ ⊗ (swap₊ ⊗ id↔))) | |
| ⊚ factor ⊚ assocl⋆ ⊚ (swap⋆ ⊗ id↔) ⊚ assocr⋆) | |
| ⊕ id↔) | |
| ⊚ | |
| (((id↔ ⊗ ((dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ (swap₊ ⊗ id↔))) | |
| ⊚ | |
| (assocl⋆ ⊚ | |
| ((swap⋆ ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ swap⋆) ⊗ id↔) ⊚ | |
| assocr⋆) | |
| ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₂ (inj₂ (- (tt , 𝔽 , 𝕋))) ⟧⟫ | |
| ∷ | |
| ⟪ ⇐ ∣ | |
| ((id↔ ⊕ | |
| (id↔ ⊗ | |
| ((id↔ ⊚ dist ⊚ (swap⋆ ⊕ swap⋆)) ⊚ | |
| ((swap₊ ⊗ id↔) ⊕ id↔) ⊚ (swap⋆ ⊕ swap⋆) ⊚ factor ⊚ swap⋆))) | |
| ⊕ id↔) | |
| ⊚ | |
| (factor ⊕ id↔) ⊚ | |
| ((assocl⋆ ⊚ | |
| (swap⋆ ⊗ id↔) ⊚ | |
| assocr⋆ ⊚ | |
| dist ⊚ | |
| ((id↔ ⊗ | |
| ((swap⋆ ⊚ dist ⊚ (swap⋆ ⊕ swap⋆)) ⊚ | |
| (id↔ ⊕ (swap₊ ⊗ id↔)) ⊚ (swap⋆ ⊕ swap⋆) ⊚ factor ⊚ swap⋆)) | |
| ⊕ (id↔ ⊗ (swap₊ ⊗ id↔))) | |
| ⊚ factor ⊚ assocl⋆ ⊚ (swap⋆ ⊗ id↔) ⊚ assocr⋆) | |
| ⊕ id↔) | |
| ⊚ | |
| (((id↔ ⊗ ((dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ (swap₊ ⊗ id↔))) | |
| ⊚ | |
| (assocl⋆ ⊚ | |
| ((swap⋆ ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ swap⋆) ⊗ id↔) ⊚ | |
| assocr⋆) | |
| ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₂ (inj₂ (- (tt , 𝔽 , 𝕋))) ⟧⟫ | |
| ∷ | |
| ⟪ ⇐ ∣ | |
| ((id↔ ⊕ | |
| (id↔ ⊗ | |
| ((swap⋆ ⊚ dist ⊚ (swap⋆ ⊕ swap⋆)) ⊚ | |
| ((swap₊ ⊗ id↔) ⊕ id↔) ⊚ (swap⋆ ⊕ swap⋆) ⊚ factor ⊚ swap⋆))) | |
| ⊕ id↔) | |
| ⊚ | |
| (factor ⊕ id↔) ⊚ | |
| ((assocl⋆ ⊚ | |
| (swap⋆ ⊗ id↔) ⊚ | |
| assocr⋆ ⊚ | |
| dist ⊚ | |
| ((id↔ ⊗ | |
| ((swap⋆ ⊚ dist ⊚ (swap⋆ ⊕ swap⋆)) ⊚ | |
| (id↔ ⊕ (swap₊ ⊗ id↔)) ⊚ (swap⋆ ⊕ swap⋆) ⊚ factor ⊚ swap⋆)) | |
| ⊕ (id↔ ⊗ (swap₊ ⊗ id↔))) | |
| ⊚ factor ⊚ assocl⋆ ⊚ (swap⋆ ⊗ id↔) ⊚ assocr⋆) | |
| ⊕ id↔) | |
| ⊚ | |
| (((id↔ ⊗ ((dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ (swap₊ ⊗ id↔))) | |
| ⊚ | |
| (assocl⋆ ⊚ | |
| ((swap⋆ ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ swap⋆) ⊗ id↔) ⊚ | |
| assocr⋆) | |
| ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₂ (inj₂ (- (tt , 𝔽 , 𝕋))) ⟧⟫ | |
| ∷ | |
| ⟪ ⇐ ∣ | |
| ((id↔ ⊕ | |
| (id↔ ⊗ | |
| (id↔ ⊚ | |
| (swap⋆ ⊚ dist ⊚ (swap⋆ ⊕ swap⋆)) ⊚ | |
| ((swap₊ ⊗ id↔) ⊕ id↔) ⊚ (swap⋆ ⊕ swap⋆) ⊚ factor ⊚ swap⋆))) | |
| ⊕ id↔) | |
| ⊚ | |
| (factor ⊕ id↔) ⊚ | |
| ((assocl⋆ ⊚ | |
| (swap⋆ ⊗ id↔) ⊚ | |
| assocr⋆ ⊚ | |
| dist ⊚ | |
| ((id↔ ⊗ | |
| ((swap⋆ ⊚ dist ⊚ (swap⋆ ⊕ swap⋆)) ⊚ | |
| (id↔ ⊕ (swap₊ ⊗ id↔)) ⊚ (swap⋆ ⊕ swap⋆) ⊚ factor ⊚ swap⋆)) | |
| ⊕ (id↔ ⊗ (swap₊ ⊗ id↔))) | |
| ⊚ factor ⊚ assocl⋆ ⊚ (swap⋆ ⊗ id↔) ⊚ assocr⋆) | |
| ⊕ id↔) | |
| ⊚ | |
| (((id↔ ⊗ ((dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ (swap₊ ⊗ id↔))) | |
| ⊚ | |
| (assocl⋆ ⊚ | |
| ((swap⋆ ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ swap⋆) ⊗ id↔) ⊚ | |
| assocr⋆) | |
| ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₂ (inj₂ (- (tt , 𝔽 , 𝕋))) ⟧⟫ | |
| ∷ | |
| ⟪ ⇐ ∣ | |
| ((id↔ ⊕ | |
| (id↔ ⊗ | |
| ((id↔ ⊗ id↔) ⊚ | |
| (swap⋆ ⊚ dist ⊚ (swap⋆ ⊕ swap⋆)) ⊚ | |
| ((swap₊ ⊗ id↔) ⊕ id↔) ⊚ (swap⋆ ⊕ swap⋆) ⊚ factor ⊚ swap⋆))) | |
| ⊕ id↔) | |
| ⊚ | |
| (factor ⊕ id↔) ⊚ | |
| ((assocl⋆ ⊚ | |
| (swap⋆ ⊗ id↔) ⊚ | |
| assocr⋆ ⊚ | |
| dist ⊚ | |
| ((id↔ ⊗ | |
| ((swap⋆ ⊚ dist ⊚ (swap⋆ ⊕ swap⋆)) ⊚ | |
| (id↔ ⊕ (swap₊ ⊗ id↔)) ⊚ (swap⋆ ⊕ swap⋆) ⊚ factor ⊚ swap⋆)) | |
| ⊕ (id↔ ⊗ (swap₊ ⊗ id↔))) | |
| ⊚ factor ⊚ assocl⋆ ⊚ (swap⋆ ⊗ id↔) ⊚ assocr⋆) | |
| ⊕ id↔) | |
| ⊚ | |
| (((id↔ ⊗ ((dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ (swap₊ ⊗ id↔))) | |
| ⊚ | |
| (assocl⋆ ⊚ | |
| ((swap⋆ ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ swap⋆) ⊗ id↔) ⊚ | |
| assocr⋆) | |
| ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₂ (inj₂ (- (tt , 𝔽 , 𝕋))) ⟧⟫ | |
| ∷ | |
| ⟪ ⇐ ∣ | |
| ((id↔ ⊕ | |
| (id↔ ⊗ | |
| ((id↔ ⊗ swap₊) ⊚ | |
| (swap⋆ ⊚ dist ⊚ (swap⋆ ⊕ swap⋆)) ⊚ | |
| ((swap₊ ⊗ id↔) ⊕ id↔) ⊚ (swap⋆ ⊕ swap⋆) ⊚ factor ⊚ swap⋆))) | |
| ⊕ id↔) | |
| ⊚ | |
| (factor ⊕ id↔) ⊚ | |
| ((assocl⋆ ⊚ | |
| (swap⋆ ⊗ id↔) ⊚ | |
| assocr⋆ ⊚ | |
| dist ⊚ | |
| ((id↔ ⊗ | |
| ((swap⋆ ⊚ dist ⊚ (swap⋆ ⊕ swap⋆)) ⊚ | |
| (id↔ ⊕ (swap₊ ⊗ id↔)) ⊚ (swap⋆ ⊕ swap⋆) ⊚ factor ⊚ swap⋆)) | |
| ⊕ (id↔ ⊗ (swap₊ ⊗ id↔))) | |
| ⊚ factor ⊚ assocl⋆ ⊚ (swap⋆ ⊗ id↔) ⊚ assocr⋆) | |
| ⊕ id↔) | |
| ⊚ | |
| (((id↔ ⊗ ((dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ (swap₊ ⊗ id↔))) | |
| ⊚ | |
| (assocl⋆ ⊚ | |
| ((swap⋆ ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ swap⋆) ⊗ id↔) ⊚ | |
| assocr⋆) | |
| ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₂ (inj₂ (- (tt , 𝔽 , 𝕋))) ⟧⟫ | |
| ∷ | |
| ⟪ ⇐ ∣ | |
| id↔ ⊚ | |
| ((id↔ ⊕ | |
| (id↔ ⊗ | |
| ((id↔ ⊗ swap₊) ⊚ | |
| (swap⋆ ⊚ dist ⊚ (swap⋆ ⊕ swap⋆)) ⊚ | |
| ((swap₊ ⊗ id↔) ⊕ id↔) ⊚ (swap⋆ ⊕ swap⋆) ⊚ factor ⊚ swap⋆))) | |
| ⊕ id↔) | |
| ⊚ | |
| (factor ⊕ id↔) ⊚ | |
| ((assocl⋆ ⊚ | |
| (swap⋆ ⊗ id↔) ⊚ | |
| assocr⋆ ⊚ | |
| dist ⊚ | |
| ((id↔ ⊗ | |
| ((swap⋆ ⊚ dist ⊚ (swap⋆ ⊕ swap⋆)) ⊚ | |
| (id↔ ⊕ (swap₊ ⊗ id↔)) ⊚ (swap⋆ ⊕ swap⋆) ⊚ factor ⊚ swap⋆)) | |
| ⊕ (id↔ ⊗ (swap₊ ⊗ id↔))) | |
| ⊚ factor ⊚ assocl⋆ ⊚ (swap⋆ ⊗ id↔) ⊚ assocr⋆) | |
| ⊕ id↔) | |
| ⊚ | |
| (((id↔ ⊗ ((dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ (swap₊ ⊗ id↔))) | |
| ⊚ | |
| (assocl⋆ ⊚ | |
| ((swap⋆ ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ swap⋆) ⊗ id↔) ⊚ | |
| assocr⋆) | |
| ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₂ (inj₂ (- (tt , 𝔽 , 𝕋))) ⟧⟫ | |
| ∷ | |
| ⟪ ⇐ ∣ | |
| assocl₊ ⊚ | |
| ((id↔ ⊕ | |
| (id↔ ⊗ | |
| ((id↔ ⊗ swap₊) ⊚ | |
| (swap⋆ ⊚ dist ⊚ (swap⋆ ⊕ swap⋆)) ⊚ | |
| ((swap₊ ⊗ id↔) ⊕ id↔) ⊚ (swap⋆ ⊕ swap⋆) ⊚ factor ⊚ swap⋆))) | |
| ⊕ id↔) | |
| ⊚ | |
| (factor ⊕ id↔) ⊚ | |
| ((assocl⋆ ⊚ | |
| (swap⋆ ⊗ id↔) ⊚ | |
| assocr⋆ ⊚ | |
| dist ⊚ | |
| ((id↔ ⊗ | |
| ((swap⋆ ⊚ dist ⊚ (swap⋆ ⊕ swap⋆)) ⊚ | |
| (id↔ ⊕ (swap₊ ⊗ id↔)) ⊚ (swap⋆ ⊕ swap⋆) ⊚ factor ⊚ swap⋆)) | |
| ⊕ (id↔ ⊗ (swap₊ ⊗ id↔))) | |
| ⊚ factor ⊚ assocl⋆ ⊚ (swap⋆ ⊗ id↔) ⊚ assocr⋆) | |
| ⊕ id↔) | |
| ⊚ | |
| (((id↔ ⊗ ((dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ (swap₊ ⊗ id↔))) | |
| ⊚ | |
| (assocl⋆ ⊚ | |
| ((swap⋆ ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ swap⋆) ⊗ id↔) ⊚ | |
| assocr⋆) | |
| ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₂ (inj₂ (inj₂ (- (tt , 𝔽 , 𝕋)))) ⟧⟫ | |
| ∷ | |
| ⟪ ⇐ ∣ | |
| (id↔ ⊚ assocl₊) ⊚ | |
| ((id↔ ⊕ | |
| (id↔ ⊗ | |
| ((id↔ ⊗ swap₊) ⊚ | |
| (swap⋆ ⊚ dist ⊚ (swap⋆ ⊕ swap⋆)) ⊚ | |
| ((swap₊ ⊗ id↔) ⊕ id↔) ⊚ (swap⋆ ⊕ swap⋆) ⊚ factor ⊚ swap⋆))) | |
| ⊕ id↔) | |
| ⊚ | |
| (factor ⊕ id↔) ⊚ | |
| ((assocl⋆ ⊚ | |
| (swap⋆ ⊗ id↔) ⊚ | |
| assocr⋆ ⊚ | |
| dist ⊚ | |
| ((id↔ ⊗ | |
| ((swap⋆ ⊚ dist ⊚ (swap⋆ ⊕ swap⋆)) ⊚ | |
| (id↔ ⊕ (swap₊ ⊗ id↔)) ⊚ (swap⋆ ⊕ swap⋆) ⊚ factor ⊚ swap⋆)) | |
| ⊕ (id↔ ⊗ (swap₊ ⊗ id↔))) | |
| ⊚ factor ⊚ assocl⋆ ⊚ (swap⋆ ⊗ id↔) ⊚ assocr⋆) | |
| ⊕ id↔) | |
| ⊚ | |
| (((id↔ ⊗ ((dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ (swap₊ ⊗ id↔))) | |
| ⊚ | |
| (assocl⋆ ⊚ | |
| ((swap⋆ ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ swap⋆) ⊗ id↔) ⊚ | |
| assocr⋆) | |
| ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₂ (inj₂ (inj₂ (- (tt , 𝔽 , 𝕋)))) ⟧⟫ | |
| ∷ | |
| ⟪ ⇐ ∣ | |
| ((id↔ ⊕ id↔) ⊚ assocl₊) ⊚ | |
| ((id↔ ⊕ | |
| (id↔ ⊗ | |
| ((id↔ ⊗ swap₊) ⊚ | |
| (swap⋆ ⊚ dist ⊚ (swap⋆ ⊕ swap⋆)) ⊚ | |
| ((swap₊ ⊗ id↔) ⊕ id↔) ⊚ (swap⋆ ⊕ swap⋆) ⊚ factor ⊚ swap⋆))) | |
| ⊕ id↔) | |
| ⊚ | |
| (factor ⊕ id↔) ⊚ | |
| ((assocl⋆ ⊚ | |
| (swap⋆ ⊗ id↔) ⊚ | |
| assocr⋆ ⊚ | |
| dist ⊚ | |
| ((id↔ ⊗ | |
| ((swap⋆ ⊚ dist ⊚ (swap⋆ ⊕ swap⋆)) ⊚ | |
| (id↔ ⊕ (swap₊ ⊗ id↔)) ⊚ (swap⋆ ⊕ swap⋆) ⊚ factor ⊚ swap⋆)) | |
| ⊕ (id↔ ⊗ (swap₊ ⊗ id↔))) | |
| ⊚ factor ⊚ assocl⋆ ⊚ (swap⋆ ⊗ id↔) ⊚ assocr⋆) | |
| ⊕ id↔) | |
| ⊚ | |
| (((id↔ ⊗ ((dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ (swap₊ ⊗ id↔))) | |
| ⊚ | |
| (assocl⋆ ⊚ | |
| ((swap⋆ ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ swap⋆) ⊗ id↔) ⊚ | |
| assocr⋆) | |
| ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₂ (inj₂ (inj₂ (- (tt , 𝔽 , 𝕋)))) ⟧⟫ | |
| ∷ | |
| ⟪ ⇐ ∣ | |
| ((id↔ ⊕ assocr₊) ⊚ assocl₊) ⊚ | |
| ((id↔ ⊕ | |
| (id↔ ⊗ | |
| ((id↔ ⊗ swap₊) ⊚ | |
| (swap⋆ ⊚ dist ⊚ (swap⋆ ⊕ swap⋆)) ⊚ | |
| ((swap₊ ⊗ id↔) ⊕ id↔) ⊚ (swap⋆ ⊕ swap⋆) ⊚ factor ⊚ swap⋆))) | |
| ⊕ id↔) | |
| ⊚ | |
| (factor ⊕ id↔) ⊚ | |
| ((assocl⋆ ⊚ | |
| (swap⋆ ⊗ id↔) ⊚ | |
| assocr⋆ ⊚ | |
| dist ⊚ | |
| ((id↔ ⊗ | |
| ((swap⋆ ⊚ dist ⊚ (swap⋆ ⊕ swap⋆)) ⊚ | |
| (id↔ ⊕ (swap₊ ⊗ id↔)) ⊚ (swap⋆ ⊕ swap⋆) ⊚ factor ⊚ swap⋆)) | |
| ⊕ (id↔ ⊗ (swap₊ ⊗ id↔))) | |
| ⊚ factor ⊚ assocl⋆ ⊚ (swap⋆ ⊗ id↔) ⊚ assocr⋆) | |
| ⊕ id↔) | |
| ⊚ | |
| (((id↔ ⊗ ((dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ (swap₊ ⊗ id↔))) | |
| ⊚ | |
| (assocl⋆ ⊚ | |
| ((swap⋆ ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ swap⋆) ⊗ id↔) ⊚ | |
| assocr⋆) | |
| ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₂ (inj₂ (- (tt , 𝔽 , 𝕋))) ⟧⟫ | |
| ∷ | |
| ⟪ ⇐ ∣ | |
| ((id↔ ⊕ (id↔ ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| ((id↔ ⊕ | |
| (id↔ ⊗ | |
| ((id↔ ⊗ swap₊) ⊚ | |
| (swap⋆ ⊚ dist ⊚ (swap⋆ ⊕ swap⋆)) ⊚ | |
| ((swap₊ ⊗ id↔) ⊕ id↔) ⊚ (swap⋆ ⊕ swap⋆) ⊚ factor ⊚ swap⋆))) | |
| ⊕ id↔) | |
| ⊚ | |
| (factor ⊕ id↔) ⊚ | |
| ((assocl⋆ ⊚ | |
| (swap⋆ ⊗ id↔) ⊚ | |
| assocr⋆ ⊚ | |
| dist ⊚ | |
| ((id↔ ⊗ | |
| ((swap⋆ ⊚ dist ⊚ (swap⋆ ⊕ swap⋆)) ⊚ | |
| (id↔ ⊕ (swap₊ ⊗ id↔)) ⊚ (swap⋆ ⊕ swap⋆) ⊚ factor ⊚ swap⋆)) | |
| ⊕ (id↔ ⊗ (swap₊ ⊗ id↔))) | |
| ⊚ factor ⊚ assocl⋆ ⊚ (swap⋆ ⊗ id↔) ⊚ assocr⋆) | |
| ⊕ id↔) | |
| ⊚ | |
| (((id↔ ⊗ ((dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ (swap₊ ⊗ id↔))) | |
| ⊚ | |
| (assocl⋆ ⊚ | |
| ((swap⋆ ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ swap⋆) ⊗ id↔) ⊚ | |
| assocr⋆) | |
| ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₂ (inj₂ (- (tt , 𝔽 , 𝕋))) ⟧⟫ | |
| ∷ | |
| ⟪ ⇐ ∣ | |
| ((id↔ ⊕ ((id↔ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| ((id↔ ⊕ | |
| (id↔ ⊗ | |
| ((id↔ ⊗ swap₊) ⊚ | |
| (swap⋆ ⊚ dist ⊚ (swap⋆ ⊕ swap⋆)) ⊚ | |
| ((swap₊ ⊗ id↔) ⊕ id↔) ⊚ (swap⋆ ⊕ swap⋆) ⊚ factor ⊚ swap⋆))) | |
| ⊕ id↔) | |
| ⊚ | |
| (factor ⊕ id↔) ⊚ | |
| ((assocl⋆ ⊚ | |
| (swap⋆ ⊗ id↔) ⊚ | |
| assocr⋆ ⊚ | |
| dist ⊚ | |
| ((id↔ ⊗ | |
| ((swap⋆ ⊚ dist ⊚ (swap⋆ ⊕ swap⋆)) ⊚ | |
| (id↔ ⊕ (swap₊ ⊗ id↔)) ⊚ (swap⋆ ⊕ swap⋆) ⊚ factor ⊚ swap⋆)) | |
| ⊕ (id↔ ⊗ (swap₊ ⊗ id↔))) | |
| ⊚ factor ⊚ assocl⋆ ⊚ (swap⋆ ⊗ id↔) ⊚ assocr⋆) | |
| ⊕ id↔) | |
| ⊚ | |
| (((id↔ ⊗ ((dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ (swap₊ ⊗ id↔))) | |
| ⊚ | |
| (assocl⋆ ⊚ | |
| ((swap⋆ ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ swap⋆) ⊗ id↔) ⊚ | |
| assocr⋆) | |
| ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₂ (inj₂ (- (tt , 𝔽 , 𝕋))) ⟧⟫ | |
| ∷ | |
| ⟪ ⇐ ∣ | |
| ((id↔ ⊕ ((swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| ((id↔ ⊕ | |
| (id↔ ⊗ | |
| ((id↔ ⊗ swap₊) ⊚ | |
| (swap⋆ ⊚ dist ⊚ (swap⋆ ⊕ swap⋆)) ⊚ | |
| ((swap₊ ⊗ id↔) ⊕ id↔) ⊚ (swap⋆ ⊕ swap⋆) ⊚ factor ⊚ swap⋆))) | |
| ⊕ id↔) | |
| ⊚ | |
| (factor ⊕ id↔) ⊚ | |
| ((assocl⋆ ⊚ | |
| (swap⋆ ⊗ id↔) ⊚ | |
| assocr⋆ ⊚ | |
| dist ⊚ | |
| ((id↔ ⊗ | |
| ((swap⋆ ⊚ dist ⊚ (swap⋆ ⊕ swap⋆)) ⊚ | |
| (id↔ ⊕ (swap₊ ⊗ id↔)) ⊚ (swap⋆ ⊕ swap⋆) ⊚ factor ⊚ swap⋆)) | |
| ⊕ (id↔ ⊗ (swap₊ ⊗ id↔))) | |
| ⊚ factor ⊚ assocl⋆ ⊚ (swap⋆ ⊗ id↔) ⊚ assocr⋆) | |
| ⊕ id↔) | |
| ⊚ | |
| (((id↔ ⊗ ((dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ (swap₊ ⊗ id↔))) | |
| ⊚ | |
| (assocl⋆ ⊚ | |
| ((swap⋆ ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ swap⋆) ⊗ id↔) ⊚ | |
| assocr⋆) | |
| ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₂ (inj₂ (- (tt , 𝔽 , 𝕋))) ⟧⟫ | |
| ∷ | |
| ⟪ ⇐ ∣ | |
| ((id↔ ⊕ (id↔ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| ((id↔ ⊕ | |
| (id↔ ⊗ | |
| ((id↔ ⊗ swap₊) ⊚ | |
| (swap⋆ ⊚ dist ⊚ (swap⋆ ⊕ swap⋆)) ⊚ | |
| ((swap₊ ⊗ id↔) ⊕ id↔) ⊚ (swap⋆ ⊕ swap⋆) ⊚ factor ⊚ swap⋆))) | |
| ⊕ id↔) | |
| ⊚ | |
| (factor ⊕ id↔) ⊚ | |
| ((assocl⋆ ⊚ | |
| (swap⋆ ⊗ id↔) ⊚ | |
| assocr⋆ ⊚ | |
| dist ⊚ | |
| ((id↔ ⊗ | |
| ((swap⋆ ⊚ dist ⊚ (swap⋆ ⊕ swap⋆)) ⊚ | |
| (id↔ ⊕ (swap₊ ⊗ id↔)) ⊚ (swap⋆ ⊕ swap⋆) ⊚ factor ⊚ swap⋆)) | |
| ⊕ (id↔ ⊗ (swap₊ ⊗ id↔))) | |
| ⊚ factor ⊚ assocl⋆ ⊚ (swap⋆ ⊗ id↔) ⊚ assocr⋆) | |
| ⊕ id↔) | |
| ⊚ | |
| (((id↔ ⊗ ((dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ (swap₊ ⊗ id↔))) | |
| ⊚ | |
| (assocl⋆ ⊚ | |
| ((swap⋆ ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ swap⋆) ⊗ id↔) ⊚ | |
| assocr⋆) | |
| ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₂ (inj₂ (- (tt , 𝔽 , 𝕋))) ⟧⟫ | |
| ∷ | |
| ⟪ ⇐ ∣ | |
| ((id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| ((id↔ ⊕ | |
| (id↔ ⊗ | |
| ((id↔ ⊗ swap₊) ⊚ | |
| (swap⋆ ⊚ dist ⊚ (swap⋆ ⊕ swap⋆)) ⊚ | |
| ((swap₊ ⊗ id↔) ⊕ id↔) ⊚ (swap⋆ ⊕ swap⋆) ⊚ factor ⊚ swap⋆))) | |
| ⊕ id↔) | |
| ⊚ | |
| (factor ⊕ id↔) ⊚ | |
| ((assocl⋆ ⊚ | |
| (swap⋆ ⊗ id↔) ⊚ | |
| assocr⋆ ⊚ | |
| dist ⊚ | |
| ((id↔ ⊗ | |
| ((swap⋆ ⊚ dist ⊚ (swap⋆ ⊕ swap⋆)) ⊚ | |
| (id↔ ⊕ (swap₊ ⊗ id↔)) ⊚ (swap⋆ ⊕ swap⋆) ⊚ factor ⊚ swap⋆)) | |
| ⊕ (id↔ ⊗ (swap₊ ⊗ id↔))) | |
| ⊚ factor ⊚ assocl⋆ ⊚ (swap⋆ ⊗ id↔) ⊚ assocr⋆) | |
| ⊕ id↔) | |
| ⊚ | |
| (((id↔ ⊗ ((dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ (swap₊ ⊗ id↔))) | |
| ⊚ | |
| (assocl⋆ ⊚ | |
| ((swap⋆ ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ swap⋆) ⊗ id↔) ⊚ | |
| assocr⋆) | |
| ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₂ (inj₂ (inj₂ (- (tt , 𝔽 , 𝕋)))) ⟧⟫ | |
| ∷ | |
| ⟪ ⇐ ∣ | |
| (id↔ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| ((id↔ ⊕ | |
| (id↔ ⊗ | |
| ((id↔ ⊗ swap₊) ⊚ | |
| (swap⋆ ⊚ dist ⊚ (swap⋆ ⊕ swap⋆)) ⊚ | |
| ((swap₊ ⊗ id↔) ⊕ id↔) ⊚ (swap⋆ ⊕ swap⋆) ⊚ factor ⊚ swap⋆))) | |
| ⊕ id↔) | |
| ⊚ | |
| (factor ⊕ id↔) ⊚ | |
| ((assocl⋆ ⊚ | |
| (swap⋆ ⊗ id↔) ⊚ | |
| assocr⋆ ⊚ | |
| dist ⊚ | |
| ((id↔ ⊗ | |
| ((swap⋆ ⊚ dist ⊚ (swap⋆ ⊕ swap⋆)) ⊚ | |
| (id↔ ⊕ (swap₊ ⊗ id↔)) ⊚ (swap⋆ ⊕ swap⋆) ⊚ factor ⊚ swap⋆)) | |
| ⊕ (id↔ ⊗ (swap₊ ⊗ id↔))) | |
| ⊚ factor ⊚ assocl⋆ ⊚ (swap⋆ ⊗ id↔) ⊚ assocr⋆) | |
| ⊕ id↔) | |
| ⊚ | |
| (((id↔ ⊗ ((dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ (swap₊ ⊗ id↔))) | |
| ⊚ | |
| (assocl⋆ ⊚ | |
| ((swap⋆ ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ swap⋆) ⊗ id↔) ⊚ | |
| assocr⋆) | |
| ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₂ (inj₂ (inj₂ (- (tt , 𝔽 , 𝕋)))) ⟧⟫ | |
| ∷ | |
| ⟪ ⇐ ∣ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| ((id↔ ⊕ | |
| (id↔ ⊗ | |
| ((id↔ ⊗ swap₊) ⊚ | |
| (swap⋆ ⊚ dist ⊚ (swap⋆ ⊕ swap⋆)) ⊚ | |
| ((swap₊ ⊗ id↔) ⊕ id↔) ⊚ (swap⋆ ⊕ swap⋆) ⊚ factor ⊚ swap⋆))) | |
| ⊕ id↔) | |
| ⊚ | |
| (factor ⊕ id↔) ⊚ | |
| ((assocl⋆ ⊚ | |
| (swap⋆ ⊗ id↔) ⊚ | |
| assocr⋆ ⊚ | |
| dist ⊚ | |
| ((id↔ ⊗ | |
| ((swap⋆ ⊚ dist ⊚ (swap⋆ ⊕ swap⋆)) ⊚ | |
| (id↔ ⊕ (swap₊ ⊗ id↔)) ⊚ (swap⋆ ⊕ swap⋆) ⊚ factor ⊚ swap⋆)) | |
| ⊕ (id↔ ⊗ (swap₊ ⊗ id↔))) | |
| ⊚ factor ⊚ assocl⋆ ⊚ (swap⋆ ⊗ id↔) ⊚ assocr⋆) | |
| ⊕ id↔) | |
| ⊚ | |
| (((id↔ ⊗ ((dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ (swap₊ ⊗ id↔))) | |
| ⊚ | |
| (assocl⋆ ⊚ | |
| ((swap⋆ ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ swap⋆) ⊗ id↔) ⊚ | |
| assocr⋆) | |
| ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₂ (inj₂ (- (tt , 𝔽 , 𝕋))) ⟧⟫ | |
| ∷ | |
| ⟪ ⇐ ∣ | |
| id↔ ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| ((id↔ ⊕ | |
| (id↔ ⊗ | |
| ((id↔ ⊗ swap₊) ⊚ | |
| (swap⋆ ⊚ dist ⊚ (swap⋆ ⊕ swap⋆)) ⊚ | |
| ((swap₊ ⊗ id↔) ⊕ id↔) ⊚ (swap⋆ ⊕ swap⋆) ⊚ factor ⊚ swap⋆))) | |
| ⊕ id↔) | |
| ⊚ | |
| (factor ⊕ id↔) ⊚ | |
| ((assocl⋆ ⊚ | |
| (swap⋆ ⊗ id↔) ⊚ | |
| assocr⋆ ⊚ | |
| dist ⊚ | |
| ((id↔ ⊗ | |
| ((swap⋆ ⊚ dist ⊚ (swap⋆ ⊕ swap⋆)) ⊚ | |
| (id↔ ⊕ (swap₊ ⊗ id↔)) ⊚ (swap⋆ ⊕ swap⋆) ⊚ factor ⊚ swap⋆)) | |
| ⊕ (id↔ ⊗ (swap₊ ⊗ id↔))) | |
| ⊚ factor ⊚ assocl⋆ ⊚ (swap⋆ ⊗ id↔) ⊚ assocr⋆) | |
| ⊕ id↔) | |
| ⊚ | |
| (((id↔ ⊗ ((dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ (swap₊ ⊗ id↔))) | |
| ⊚ | |
| (assocl⋆ ⊚ | |
| ((swap⋆ ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ swap⋆) ⊗ id↔) ⊚ | |
| assocr⋆) | |
| ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₂ (inj₂ (- (tt , 𝔽 , 𝕋))) ⟧⟫ | |
| ∷ | |
| ⟪ ⇐ ∣ | |
| (id↔ ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| ((id↔ ⊕ | |
| (id↔ ⊗ | |
| ((id↔ ⊗ swap₊) ⊚ | |
| (swap⋆ ⊚ dist ⊚ (swap⋆ ⊕ swap⋆)) ⊚ | |
| ((swap₊ ⊗ id↔) ⊕ id↔) ⊚ (swap⋆ ⊕ swap⋆) ⊚ factor ⊚ swap⋆))) | |
| ⊕ id↔) | |
| ⊚ | |
| (factor ⊕ id↔) ⊚ | |
| ((assocl⋆ ⊚ | |
| (swap⋆ ⊗ id↔) ⊚ | |
| assocr⋆ ⊚ | |
| dist ⊚ | |
| ((id↔ ⊗ | |
| ((swap⋆ ⊚ dist ⊚ (swap⋆ ⊕ swap⋆)) ⊚ | |
| (id↔ ⊕ (swap₊ ⊗ id↔)) ⊚ (swap⋆ ⊕ swap⋆) ⊚ factor ⊚ swap⋆)) | |
| ⊕ (id↔ ⊗ (swap₊ ⊗ id↔))) | |
| ⊚ factor ⊚ assocl⋆ ⊚ (swap⋆ ⊗ id↔) ⊚ assocr⋆) | |
| ⊕ id↔) | |
| ⊚ | |
| (((id↔ ⊗ ((dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ (swap₊ ⊗ id↔))) | |
| ⊚ | |
| (assocl⋆ ⊚ | |
| ((swap⋆ ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ swap⋆) ⊗ id↔) ⊚ | |
| assocr⋆) | |
| ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₂ (inj₂ (- (tt , 𝔽 , 𝕋))) ⟧⟫ | |
| ∷ | |
| ⟪ ⇒ ∣ | |
| (id↔ ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| ((id↔ ⊕ | |
| (id↔ ⊗ | |
| ((id↔ ⊗ swap₊) ⊚ | |
| (swap⋆ ⊚ dist ⊚ (swap⋆ ⊕ swap⋆)) ⊚ | |
| ((swap₊ ⊗ id↔) ⊕ id↔) ⊚ (swap⋆ ⊕ swap⋆) ⊚ factor ⊚ swap⋆))) | |
| ⊕ id↔) | |
| ⊚ | |
| (factor ⊕ id↔) ⊚ | |
| ((assocl⋆ ⊚ | |
| (swap⋆ ⊗ id↔) ⊚ | |
| assocr⋆ ⊚ | |
| dist ⊚ | |
| ((id↔ ⊗ | |
| ((swap⋆ ⊚ dist ⊚ (swap⋆ ⊕ swap⋆)) ⊚ | |
| (id↔ ⊕ (swap₊ ⊗ id↔)) ⊚ (swap⋆ ⊕ swap⋆) ⊚ factor ⊚ swap⋆)) | |
| ⊕ (id↔ ⊗ (swap₊ ⊗ id↔))) | |
| ⊚ factor ⊚ assocl⋆ ⊚ (swap⋆ ⊗ id↔) ⊚ assocr⋆) | |
| ⊕ id↔) | |
| ⊚ | |
| (((id↔ ⊗ ((dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ (swap₊ ⊗ id↔))) | |
| ⊚ | |
| (assocl⋆ ⊚ | |
| ((swap⋆ ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ swap⋆) ⊗ id↔) ⊚ | |
| assocr⋆) | |
| ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₂ (inj₁ (tt , 𝔽 , 𝕋)) ⟧⟫ | |
| ∷ | |
| ⟪ ⇒ ∣ | |
| id↔ ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| ((id↔ ⊕ | |
| (id↔ ⊗ | |
| ((id↔ ⊗ swap₊) ⊚ | |
| (swap⋆ ⊚ dist ⊚ (swap⋆ ⊕ swap⋆)) ⊚ | |
| ((swap₊ ⊗ id↔) ⊕ id↔) ⊚ (swap⋆ ⊕ swap⋆) ⊚ factor ⊚ swap⋆))) | |
| ⊕ id↔) | |
| ⊚ | |
| (factor ⊕ id↔) ⊚ | |
| ((assocl⋆ ⊚ | |
| (swap⋆ ⊗ id↔) ⊚ | |
| assocr⋆ ⊚ | |
| dist ⊚ | |
| ((id↔ ⊗ | |
| ((swap⋆ ⊚ dist ⊚ (swap⋆ ⊕ swap⋆)) ⊚ | |
| (id↔ ⊕ (swap₊ ⊗ id↔)) ⊚ (swap⋆ ⊕ swap⋆) ⊚ factor ⊚ swap⋆)) | |
| ⊕ (id↔ ⊗ (swap₊ ⊗ id↔))) | |
| ⊚ factor ⊚ assocl⋆ ⊚ (swap⋆ ⊗ id↔) ⊚ assocr⋆) | |
| ⊕ id↔) | |
| ⊚ | |
| (((id↔ ⊗ ((dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ (swap₊ ⊗ id↔))) | |
| ⊚ | |
| (assocl⋆ ⊚ | |
| ((swap⋆ ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ swap⋆) ⊗ id↔) ⊚ | |
| assocr⋆) | |
| ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₂ (inj₁ (tt , 𝔽 , 𝕋)) ⟧⟫ | |
| ∷ | |
| ⟪ ⇒ ∣ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| ((id↔ ⊕ | |
| (id↔ ⊗ | |
| ((id↔ ⊗ swap₊) ⊚ | |
| (swap⋆ ⊚ dist ⊚ (swap⋆ ⊕ swap⋆)) ⊚ | |
| ((swap₊ ⊗ id↔) ⊕ id↔) ⊚ (swap⋆ ⊕ swap⋆) ⊚ factor ⊚ swap⋆))) | |
| ⊕ id↔) | |
| ⊚ | |
| (factor ⊕ id↔) ⊚ | |
| ((assocl⋆ ⊚ | |
| (swap⋆ ⊗ id↔) ⊚ | |
| assocr⋆ ⊚ | |
| dist ⊚ | |
| ((id↔ ⊗ | |
| ((swap⋆ ⊚ dist ⊚ (swap⋆ ⊕ swap⋆)) ⊚ | |
| (id↔ ⊕ (swap₊ ⊗ id↔)) ⊚ (swap⋆ ⊕ swap⋆) ⊚ factor ⊚ swap⋆)) | |
| ⊕ (id↔ ⊗ (swap₊ ⊗ id↔))) | |
| ⊚ factor ⊚ assocl⋆ ⊚ (swap⋆ ⊗ id↔) ⊚ assocr⋆) | |
| ⊕ id↔) | |
| ⊚ | |
| (((id↔ ⊗ ((dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ (swap₊ ⊗ id↔))) | |
| ⊚ | |
| (assocl⋆ ⊚ | |
| ((swap⋆ ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ swap⋆) ⊗ id↔) ⊚ | |
| assocr⋆) | |
| ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₂ (inj₁ (tt , 𝔽 , 𝕋)) ⟧⟫ | |
| ∷ | |
| ⟪ ⇒ ∣ | |
| (id↔ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| ((id↔ ⊕ | |
| (id↔ ⊗ | |
| ((id↔ ⊗ swap₊) ⊚ | |
| (swap⋆ ⊚ dist ⊚ (swap⋆ ⊕ swap⋆)) ⊚ | |
| ((swap₊ ⊗ id↔) ⊕ id↔) ⊚ (swap⋆ ⊕ swap⋆) ⊚ factor ⊚ swap⋆))) | |
| ⊕ id↔) | |
| ⊚ | |
| (factor ⊕ id↔) ⊚ | |
| ((assocl⋆ ⊚ | |
| (swap⋆ ⊗ id↔) ⊚ | |
| assocr⋆ ⊚ | |
| dist ⊚ | |
| ((id↔ ⊗ | |
| ((swap⋆ ⊚ dist ⊚ (swap⋆ ⊕ swap⋆)) ⊚ | |
| (id↔ ⊕ (swap₊ ⊗ id↔)) ⊚ (swap⋆ ⊕ swap⋆) ⊚ factor ⊚ swap⋆)) | |
| ⊕ (id↔ ⊗ (swap₊ ⊗ id↔))) | |
| ⊚ factor ⊚ assocl⋆ ⊚ (swap⋆ ⊗ id↔) ⊚ assocr⋆) | |
| ⊕ id↔) | |
| ⊚ | |
| (((id↔ ⊗ ((dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ (swap₊ ⊗ id↔))) | |
| ⊚ | |
| (assocl⋆ ⊚ | |
| ((swap⋆ ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ swap⋆) ⊗ id↔) ⊚ | |
| assocr⋆) | |
| ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₂ (inj₂ (inj₁ (tt , 𝔽 , 𝕋))) ⟧⟫ | |
| ∷ | |
| ⟪ ⇒ ∣ | |
| ((id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| ((id↔ ⊕ | |
| (id↔ ⊗ | |
| ((id↔ ⊗ swap₊) ⊚ | |
| (swap⋆ ⊚ dist ⊚ (swap⋆ ⊕ swap⋆)) ⊚ | |
| ((swap₊ ⊗ id↔) ⊕ id↔) ⊚ (swap⋆ ⊕ swap⋆) ⊚ factor ⊚ swap⋆))) | |
| ⊕ id↔) | |
| ⊚ | |
| (factor ⊕ id↔) ⊚ | |
| ((assocl⋆ ⊚ | |
| (swap⋆ ⊗ id↔) ⊚ | |
| assocr⋆ ⊚ | |
| dist ⊚ | |
| ((id↔ ⊗ | |
| ((swap⋆ ⊚ dist ⊚ (swap⋆ ⊕ swap⋆)) ⊚ | |
| (id↔ ⊕ (swap₊ ⊗ id↔)) ⊚ (swap⋆ ⊕ swap⋆) ⊚ factor ⊚ swap⋆)) | |
| ⊕ (id↔ ⊗ (swap₊ ⊗ id↔))) | |
| ⊚ factor ⊚ assocl⋆ ⊚ (swap⋆ ⊗ id↔) ⊚ assocr⋆) | |
| ⊕ id↔) | |
| ⊚ | |
| (((id↔ ⊗ ((dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ (swap₊ ⊗ id↔))) | |
| ⊚ | |
| (assocl⋆ ⊚ | |
| ((swap⋆ ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ swap⋆) ⊗ id↔) ⊚ | |
| assocr⋆) | |
| ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₂ (inj₂ (inj₁ (tt , 𝔽 , 𝕋))) ⟧⟫ | |
| ∷ | |
| ⟪ ⇒ ∣ | |
| ((id↔ ⊕ (id↔ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| ((id↔ ⊕ | |
| (id↔ ⊗ | |
| ((id↔ ⊗ swap₊) ⊚ | |
| (swap⋆ ⊚ dist ⊚ (swap⋆ ⊕ swap⋆)) ⊚ | |
| ((swap₊ ⊗ id↔) ⊕ id↔) ⊚ (swap⋆ ⊕ swap⋆) ⊚ factor ⊚ swap⋆))) | |
| ⊕ id↔) | |
| ⊚ | |
| (factor ⊕ id↔) ⊚ | |
| ((assocl⋆ ⊚ | |
| (swap⋆ ⊗ id↔) ⊚ | |
| assocr⋆ ⊚ | |
| dist ⊚ | |
| ((id↔ ⊗ | |
| ((swap⋆ ⊚ dist ⊚ (swap⋆ ⊕ swap⋆)) ⊚ | |
| (id↔ ⊕ (swap₊ ⊗ id↔)) ⊚ (swap⋆ ⊕ swap⋆) ⊚ factor ⊚ swap⋆)) | |
| ⊕ (id↔ ⊗ (swap₊ ⊗ id↔))) | |
| ⊚ factor ⊚ assocl⋆ ⊚ (swap⋆ ⊗ id↔) ⊚ assocr⋆) | |
| ⊕ id↔) | |
| ⊚ | |
| (((id↔ ⊗ ((dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ (swap₊ ⊗ id↔))) | |
| ⊚ | |
| (assocl⋆ ⊚ | |
| ((swap⋆ ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ swap⋆) ⊗ id↔) ⊚ | |
| assocr⋆) | |
| ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₂ (inj₁ (inj₂ (tt , 𝔽 , 𝕋))) ⟧⟫ | |
| ∷ | |
| ⟪ ⇒ ∣ | |
| ((id↔ ⊕ ((swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| ((id↔ ⊕ | |
| (id↔ ⊗ | |
| ((id↔ ⊗ swap₊) ⊚ | |
| (swap⋆ ⊚ dist ⊚ (swap⋆ ⊕ swap⋆)) ⊚ | |
| ((swap₊ ⊗ id↔) ⊕ id↔) ⊚ (swap⋆ ⊕ swap⋆) ⊚ factor ⊚ swap⋆))) | |
| ⊕ id↔) | |
| ⊚ | |
| (factor ⊕ id↔) ⊚ | |
| ((assocl⋆ ⊚ | |
| (swap⋆ ⊗ id↔) ⊚ | |
| assocr⋆ ⊚ | |
| dist ⊚ | |
| ((id↔ ⊗ | |
| ((swap⋆ ⊚ dist ⊚ (swap⋆ ⊕ swap⋆)) ⊚ | |
| (id↔ ⊕ (swap₊ ⊗ id↔)) ⊚ (swap⋆ ⊕ swap⋆) ⊚ factor ⊚ swap⋆)) | |
| ⊕ (id↔ ⊗ (swap₊ ⊗ id↔))) | |
| ⊚ factor ⊚ assocl⋆ ⊚ (swap⋆ ⊗ id↔) ⊚ assocr⋆) | |
| ⊕ id↔) | |
| ⊚ | |
| (((id↔ ⊗ ((dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ (swap₊ ⊗ id↔))) | |
| ⊚ | |
| (assocl⋆ ⊚ | |
| ((swap⋆ ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ swap⋆) ⊗ id↔) ⊚ | |
| assocr⋆) | |
| ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₂ (inj₁ (inj₂ (tt , 𝔽 , 𝕋))) ⟧⟫ | |
| ∷ | |
| ⟪ ⇒ ∣ | |
| ((id↔ ⊕ ((id↔ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| ((id↔ ⊕ | |
| (id↔ ⊗ | |
| ((id↔ ⊗ swap₊) ⊚ | |
| (swap⋆ ⊚ dist ⊚ (swap⋆ ⊕ swap⋆)) ⊚ | |
| ((swap₊ ⊗ id↔) ⊕ id↔) ⊚ (swap⋆ ⊕ swap⋆) ⊚ factor ⊚ swap⋆))) | |
| ⊕ id↔) | |
| ⊚ | |
| (factor ⊕ id↔) ⊚ | |
| ((assocl⋆ ⊚ | |
| (swap⋆ ⊗ id↔) ⊚ | |
| assocr⋆ ⊚ | |
| dist ⊚ | |
| ((id↔ ⊗ | |
| ((swap⋆ ⊚ dist ⊚ (swap⋆ ⊕ swap⋆)) ⊚ | |
| (id↔ ⊕ (swap₊ ⊗ id↔)) ⊚ (swap⋆ ⊕ swap⋆) ⊚ factor ⊚ swap⋆)) | |
| ⊕ (id↔ ⊗ (swap₊ ⊗ id↔))) | |
| ⊚ factor ⊚ assocl⋆ ⊚ (swap⋆ ⊗ id↔) ⊚ assocr⋆) | |
| ⊕ id↔) | |
| ⊚ | |
| (((id↔ ⊗ ((dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ (swap₊ ⊗ id↔))) | |
| ⊚ | |
| (assocl⋆ ⊚ | |
| ((swap⋆ ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ swap⋆) ⊗ id↔) ⊚ | |
| assocr⋆) | |
| ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₂ (inj₁ (inj₁ (tt , 𝔽 , 𝕋))) ⟧⟫ | |
| ∷ | |
| ⟪ ⇒ ∣ | |
| ((id↔ ⊕ (id↔ ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| ((id↔ ⊕ | |
| (id↔ ⊗ | |
| ((id↔ ⊗ swap₊) ⊚ | |
| (swap⋆ ⊚ dist ⊚ (swap⋆ ⊕ swap⋆)) ⊚ | |
| ((swap₊ ⊗ id↔) ⊕ id↔) ⊚ (swap⋆ ⊕ swap⋆) ⊚ factor ⊚ swap⋆))) | |
| ⊕ id↔) | |
| ⊚ | |
| (factor ⊕ id↔) ⊚ | |
| ((assocl⋆ ⊚ | |
| (swap⋆ ⊗ id↔) ⊚ | |
| assocr⋆ ⊚ | |
| dist ⊚ | |
| ((id↔ ⊗ | |
| ((swap⋆ ⊚ dist ⊚ (swap⋆ ⊕ swap⋆)) ⊚ | |
| (id↔ ⊕ (swap₊ ⊗ id↔)) ⊚ (swap⋆ ⊕ swap⋆) ⊚ factor ⊚ swap⋆)) | |
| ⊕ (id↔ ⊗ (swap₊ ⊗ id↔))) | |
| ⊚ factor ⊚ assocl⋆ ⊚ (swap⋆ ⊗ id↔) ⊚ assocr⋆) | |
| ⊕ id↔) | |
| ⊚ | |
| (((id↔ ⊗ ((dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ (swap₊ ⊗ id↔))) | |
| ⊚ | |
| (assocl⋆ ⊚ | |
| ((swap⋆ ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ swap⋆) ⊗ id↔) ⊚ | |
| assocr⋆) | |
| ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₂ (inj₁ (inj₁ (tt , 𝔽 , 𝕋))) ⟧⟫ | |
| ∷ | |
| ⟪ ⇒ ∣ | |
| ((id↔ ⊕ assocr₊) ⊚ assocl₊) ⊚ | |
| ((id↔ ⊕ | |
| (id↔ ⊗ | |
| ((id↔ ⊗ swap₊) ⊚ | |
| (swap⋆ ⊚ dist ⊚ (swap⋆ ⊕ swap⋆)) ⊚ | |
| ((swap₊ ⊗ id↔) ⊕ id↔) ⊚ (swap⋆ ⊕ swap⋆) ⊚ factor ⊚ swap⋆))) | |
| ⊕ id↔) | |
| ⊚ | |
| (factor ⊕ id↔) ⊚ | |
| ((assocl⋆ ⊚ | |
| (swap⋆ ⊗ id↔) ⊚ | |
| assocr⋆ ⊚ | |
| dist ⊚ | |
| ((id↔ ⊗ | |
| ((swap⋆ ⊚ dist ⊚ (swap⋆ ⊕ swap⋆)) ⊚ | |
| (id↔ ⊕ (swap₊ ⊗ id↔)) ⊚ (swap⋆ ⊕ swap⋆) ⊚ factor ⊚ swap⋆)) | |
| ⊕ (id↔ ⊗ (swap₊ ⊗ id↔))) | |
| ⊚ factor ⊚ assocl⋆ ⊚ (swap⋆ ⊗ id↔) ⊚ assocr⋆) | |
| ⊕ id↔) | |
| ⊚ | |
| (((id↔ ⊗ ((dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ (swap₊ ⊗ id↔))) | |
| ⊚ | |
| (assocl⋆ ⊚ | |
| ((swap⋆ ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ swap⋆) ⊗ id↔) ⊚ | |
| assocr⋆) | |
| ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₂ (inj₁ (inj₁ (tt , 𝔽 , 𝕋))) ⟧⟫ | |
| ∷ | |
| ⟪ ⇒ ∣ | |
| ((id↔ ⊕ id↔) ⊚ assocl₊) ⊚ | |
| ((id↔ ⊕ | |
| (id↔ ⊗ | |
| ((id↔ ⊗ swap₊) ⊚ | |
| (swap⋆ ⊚ dist ⊚ (swap⋆ ⊕ swap⋆)) ⊚ | |
| ((swap₊ ⊗ id↔) ⊕ id↔) ⊚ (swap⋆ ⊕ swap⋆) ⊚ factor ⊚ swap⋆))) | |
| ⊕ id↔) | |
| ⊚ | |
| (factor ⊕ id↔) ⊚ | |
| ((assocl⋆ ⊚ | |
| (swap⋆ ⊗ id↔) ⊚ | |
| assocr⋆ ⊚ | |
| dist ⊚ | |
| ((id↔ ⊗ | |
| ((swap⋆ ⊚ dist ⊚ (swap⋆ ⊕ swap⋆)) ⊚ | |
| (id↔ ⊕ (swap₊ ⊗ id↔)) ⊚ (swap⋆ ⊕ swap⋆) ⊚ factor ⊚ swap⋆)) | |
| ⊕ (id↔ ⊗ (swap₊ ⊗ id↔))) | |
| ⊚ factor ⊚ assocl⋆ ⊚ (swap⋆ ⊗ id↔) ⊚ assocr⋆) | |
| ⊕ id↔) | |
| ⊚ | |
| (((id↔ ⊗ ((dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ (swap₊ ⊗ id↔))) | |
| ⊚ | |
| (assocl⋆ ⊚ | |
| ((swap⋆ ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ swap⋆) ⊗ id↔) ⊚ | |
| assocr⋆) | |
| ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₂ (inj₁ (tt , 𝔽 , 𝕋)) ⟧⟫ | |
| ∷ | |
| ⟪ ⇒ ∣ | |
| (id↔ ⊚ assocl₊) ⊚ | |
| ((id↔ ⊕ | |
| (id↔ ⊗ | |
| ((id↔ ⊗ swap₊) ⊚ | |
| (swap⋆ ⊚ dist ⊚ (swap⋆ ⊕ swap⋆)) ⊚ | |
| ((swap₊ ⊗ id↔) ⊕ id↔) ⊚ (swap⋆ ⊕ swap⋆) ⊚ factor ⊚ swap⋆))) | |
| ⊕ id↔) | |
| ⊚ | |
| (factor ⊕ id↔) ⊚ | |
| ((assocl⋆ ⊚ | |
| (swap⋆ ⊗ id↔) ⊚ | |
| assocr⋆ ⊚ | |
| dist ⊚ | |
| ((id↔ ⊗ | |
| ((swap⋆ ⊚ dist ⊚ (swap⋆ ⊕ swap⋆)) ⊚ | |
| (id↔ ⊕ (swap₊ ⊗ id↔)) ⊚ (swap⋆ ⊕ swap⋆) ⊚ factor ⊚ swap⋆)) | |
| ⊕ (id↔ ⊗ (swap₊ ⊗ id↔))) | |
| ⊚ factor ⊚ assocl⋆ ⊚ (swap⋆ ⊗ id↔) ⊚ assocr⋆) | |
| ⊕ id↔) | |
| ⊚ | |
| (((id↔ ⊗ ((dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ (swap₊ ⊗ id↔))) | |
| ⊚ | |
| (assocl⋆ ⊚ | |
| ((swap⋆ ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ swap⋆) ⊗ id↔) ⊚ | |
| assocr⋆) | |
| ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₂ (inj₁ (tt , 𝔽 , 𝕋)) ⟧⟫ | |
| ∷ | |
| ⟪ ⇒ ∣ | |
| assocl₊ ⊚ | |
| ((id↔ ⊕ | |
| (id↔ ⊗ | |
| ((id↔ ⊗ swap₊) ⊚ | |
| (swap⋆ ⊚ dist ⊚ (swap⋆ ⊕ swap⋆)) ⊚ | |
| ((swap₊ ⊗ id↔) ⊕ id↔) ⊚ (swap⋆ ⊕ swap⋆) ⊚ factor ⊚ swap⋆))) | |
| ⊕ id↔) | |
| ⊚ | |
| (factor ⊕ id↔) ⊚ | |
| ((assocl⋆ ⊚ | |
| (swap⋆ ⊗ id↔) ⊚ | |
| assocr⋆ ⊚ | |
| dist ⊚ | |
| ((id↔ ⊗ | |
| ((swap⋆ ⊚ dist ⊚ (swap⋆ ⊕ swap⋆)) ⊚ | |
| (id↔ ⊕ (swap₊ ⊗ id↔)) ⊚ (swap⋆ ⊕ swap⋆) ⊚ factor ⊚ swap⋆)) | |
| ⊕ (id↔ ⊗ (swap₊ ⊗ id↔))) | |
| ⊚ factor ⊚ assocl⋆ ⊚ (swap⋆ ⊗ id↔) ⊚ assocr⋆) | |
| ⊕ id↔) | |
| ⊚ | |
| (((id↔ ⊗ ((dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ (swap₊ ⊗ id↔))) | |
| ⊚ | |
| (assocl⋆ ⊚ | |
| ((swap⋆ ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ swap⋆) ⊗ id↔) ⊚ | |
| assocr⋆) | |
| ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₂ (inj₁ (tt , 𝔽 , 𝕋)) ⟧⟫ | |
| ∷ | |
| ⟪ ⇒ ∣ | |
| id↔ ⊚ | |
| ((id↔ ⊕ | |
| (id↔ ⊗ | |
| ((id↔ ⊗ swap₊) ⊚ | |
| (swap⋆ ⊚ dist ⊚ (swap⋆ ⊕ swap⋆)) ⊚ | |
| ((swap₊ ⊗ id↔) ⊕ id↔) ⊚ (swap⋆ ⊕ swap⋆) ⊚ factor ⊚ swap⋆))) | |
| ⊕ id↔) | |
| ⊚ | |
| (factor ⊕ id↔) ⊚ | |
| ((assocl⋆ ⊚ | |
| (swap⋆ ⊗ id↔) ⊚ | |
| assocr⋆ ⊚ | |
| dist ⊚ | |
| ((id↔ ⊗ | |
| ((swap⋆ ⊚ dist ⊚ (swap⋆ ⊕ swap⋆)) ⊚ | |
| (id↔ ⊕ (swap₊ ⊗ id↔)) ⊚ (swap⋆ ⊕ swap⋆) ⊚ factor ⊚ swap⋆)) | |
| ⊕ (id↔ ⊗ (swap₊ ⊗ id↔))) | |
| ⊚ factor ⊚ assocl⋆ ⊚ (swap⋆ ⊗ id↔) ⊚ assocr⋆) | |
| ⊕ id↔) | |
| ⊚ | |
| (((id↔ ⊗ ((dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ (swap₊ ⊗ id↔))) | |
| ⊚ | |
| (assocl⋆ ⊚ | |
| ((swap⋆ ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ swap⋆) ⊗ id↔) ⊚ | |
| assocr⋆) | |
| ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₁ (inj₂ (tt , 𝔽 , 𝕋)) ⟧⟫ | |
| ∷ | |
| ⟪ ⇒ ∣ | |
| ((id↔ ⊕ | |
| (id↔ ⊗ | |
| ((id↔ ⊗ swap₊) ⊚ | |
| (swap⋆ ⊚ dist ⊚ (swap⋆ ⊕ swap⋆)) ⊚ | |
| ((swap₊ ⊗ id↔) ⊕ id↔) ⊚ (swap⋆ ⊕ swap⋆) ⊚ factor ⊚ swap⋆))) | |
| ⊕ id↔) | |
| ⊚ | |
| (factor ⊕ id↔) ⊚ | |
| ((assocl⋆ ⊚ | |
| (swap⋆ ⊗ id↔) ⊚ | |
| assocr⋆ ⊚ | |
| dist ⊚ | |
| ((id↔ ⊗ | |
| ((swap⋆ ⊚ dist ⊚ (swap⋆ ⊕ swap⋆)) ⊚ | |
| (id↔ ⊕ (swap₊ ⊗ id↔)) ⊚ (swap⋆ ⊕ swap⋆) ⊚ factor ⊚ swap⋆)) | |
| ⊕ (id↔ ⊗ (swap₊ ⊗ id↔))) | |
| ⊚ factor ⊚ assocl⋆ ⊚ (swap⋆ ⊗ id↔) ⊚ assocr⋆) | |
| ⊕ id↔) | |
| ⊚ | |
| (((id↔ ⊗ ((dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ (swap₊ ⊗ id↔))) | |
| ⊚ | |
| (assocl⋆ ⊚ | |
| ((swap⋆ ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ swap⋆) ⊗ id↔) ⊚ | |
| assocr⋆) | |
| ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₁ (inj₂ (tt , 𝔽 , 𝕋)) ⟧⟫ | |
| ∷ | |
| ⟪ ⇒ ∣ | |
| ((id↔ ⊕ | |
| (id↔ ⊗ | |
| ((id↔ ⊗ id↔) ⊚ | |
| (swap⋆ ⊚ dist ⊚ (swap⋆ ⊕ swap⋆)) ⊚ | |
| ((swap₊ ⊗ id↔) ⊕ id↔) ⊚ (swap⋆ ⊕ swap⋆) ⊚ factor ⊚ swap⋆))) | |
| ⊕ id↔) | |
| ⊚ | |
| (factor ⊕ id↔) ⊚ | |
| ((assocl⋆ ⊚ | |
| (swap⋆ ⊗ id↔) ⊚ | |
| assocr⋆ ⊚ | |
| dist ⊚ | |
| ((id↔ ⊗ | |
| ((swap⋆ ⊚ dist ⊚ (swap⋆ ⊕ swap⋆)) ⊚ | |
| (id↔ ⊕ (swap₊ ⊗ id↔)) ⊚ (swap⋆ ⊕ swap⋆) ⊚ factor ⊚ swap⋆)) | |
| ⊕ (id↔ ⊗ (swap₊ ⊗ id↔))) | |
| ⊚ factor ⊚ assocl⋆ ⊚ (swap⋆ ⊗ id↔) ⊚ assocr⋆) | |
| ⊕ id↔) | |
| ⊚ | |
| (((id↔ ⊗ ((dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ (swap₊ ⊗ id↔))) | |
| ⊚ | |
| (assocl⋆ ⊚ | |
| ((swap⋆ ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ swap⋆) ⊗ id↔) ⊚ | |
| assocr⋆) | |
| ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₁ (inj₂ (tt , 𝔽 , 𝔽)) ⟧⟫ | |
| ∷ | |
| ⟪ ⇒ ∣ | |
| ((id↔ ⊕ | |
| (id↔ ⊗ | |
| (id↔ ⊚ | |
| (swap⋆ ⊚ dist ⊚ (swap⋆ ⊕ swap⋆)) ⊚ | |
| ((swap₊ ⊗ id↔) ⊕ id↔) ⊚ (swap⋆ ⊕ swap⋆) ⊚ factor ⊚ swap⋆))) | |
| ⊕ id↔) | |
| ⊚ | |
| (factor ⊕ id↔) ⊚ | |
| ((assocl⋆ ⊚ | |
| (swap⋆ ⊗ id↔) ⊚ | |
| assocr⋆ ⊚ | |
| dist ⊚ | |
| ((id↔ ⊗ | |
| ((swap⋆ ⊚ dist ⊚ (swap⋆ ⊕ swap⋆)) ⊚ | |
| (id↔ ⊕ (swap₊ ⊗ id↔)) ⊚ (swap⋆ ⊕ swap⋆) ⊚ factor ⊚ swap⋆)) | |
| ⊕ (id↔ ⊗ (swap₊ ⊗ id↔))) | |
| ⊚ factor ⊚ assocl⋆ ⊚ (swap⋆ ⊗ id↔) ⊚ assocr⋆) | |
| ⊕ id↔) | |
| ⊚ | |
| (((id↔ ⊗ ((dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ (swap₊ ⊗ id↔))) | |
| ⊚ | |
| (assocl⋆ ⊚ | |
| ((swap⋆ ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ swap⋆) ⊗ id↔) ⊚ | |
| assocr⋆) | |
| ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₁ (inj₂ (tt , 𝔽 , 𝔽)) ⟧⟫ | |
| ∷ | |
| ⟪ ⇒ ∣ | |
| ((id↔ ⊕ | |
| (id↔ ⊗ | |
| ((swap⋆ ⊚ dist ⊚ (swap⋆ ⊕ swap⋆)) ⊚ | |
| ((swap₊ ⊗ id↔) ⊕ id↔) ⊚ (swap⋆ ⊕ swap⋆) ⊚ factor ⊚ swap⋆))) | |
| ⊕ id↔) | |
| ⊚ | |
| (factor ⊕ id↔) ⊚ | |
| ((assocl⋆ ⊚ | |
| (swap⋆ ⊗ id↔) ⊚ | |
| assocr⋆ ⊚ | |
| dist ⊚ | |
| ((id↔ ⊗ | |
| ((swap⋆ ⊚ dist ⊚ (swap⋆ ⊕ swap⋆)) ⊚ | |
| (id↔ ⊕ (swap₊ ⊗ id↔)) ⊚ (swap⋆ ⊕ swap⋆) ⊚ factor ⊚ swap⋆)) | |
| ⊕ (id↔ ⊗ (swap₊ ⊗ id↔))) | |
| ⊚ factor ⊚ assocl⋆ ⊚ (swap⋆ ⊗ id↔) ⊚ assocr⋆) | |
| ⊕ id↔) | |
| ⊚ | |
| (((id↔ ⊗ ((dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ (swap₊ ⊗ id↔))) | |
| ⊚ | |
| (assocl⋆ ⊚ | |
| ((swap⋆ ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ swap⋆) ⊗ id↔) ⊚ | |
| assocr⋆) | |
| ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₁ (inj₂ (tt , 𝔽 , 𝔽)) ⟧⟫ | |
| ∷ | |
| ⟪ ⇒ ∣ | |
| ((id↔ ⊕ | |
| (id↔ ⊗ | |
| ((id↔ ⊚ dist ⊚ (swap⋆ ⊕ swap⋆)) ⊚ | |
| ((swap₊ ⊗ id↔) ⊕ id↔) ⊚ (swap⋆ ⊕ swap⋆) ⊚ factor ⊚ swap⋆))) | |
| ⊕ id↔) | |
| ⊚ | |
| (factor ⊕ id↔) ⊚ | |
| ((assocl⋆ ⊚ | |
| (swap⋆ ⊗ id↔) ⊚ | |
| assocr⋆ ⊚ | |
| dist ⊚ | |
| ((id↔ ⊗ | |
| ((swap⋆ ⊚ dist ⊚ (swap⋆ ⊕ swap⋆)) ⊚ | |
| (id↔ ⊕ (swap₊ ⊗ id↔)) ⊚ (swap⋆ ⊕ swap⋆) ⊚ factor ⊚ swap⋆)) | |
| ⊕ (id↔ ⊗ (swap₊ ⊗ id↔))) | |
| ⊚ factor ⊚ assocl⋆ ⊚ (swap⋆ ⊗ id↔) ⊚ assocr⋆) | |
| ⊕ id↔) | |
| ⊚ | |
| (((id↔ ⊗ ((dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ (swap₊ ⊗ id↔))) | |
| ⊚ | |
| (assocl⋆ ⊚ | |
| ((swap⋆ ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ swap⋆) ⊗ id↔) ⊚ | |
| assocr⋆) | |
| ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₁ (inj₂ (tt , 𝔽 , 𝔽)) ⟧⟫ | |
| ∷ | |
| ⟪ ⇒ ∣ | |
| ((id↔ ⊕ | |
| (id↔ ⊗ | |
| ((dist ⊚ (swap⋆ ⊕ swap⋆)) ⊚ | |
| ((swap₊ ⊗ id↔) ⊕ id↔) ⊚ (swap⋆ ⊕ swap⋆) ⊚ factor ⊚ swap⋆))) | |
| ⊕ id↔) | |
| ⊚ | |
| (factor ⊕ id↔) ⊚ | |
| ((assocl⋆ ⊚ | |
| (swap⋆ ⊗ id↔) ⊚ | |
| assocr⋆ ⊚ | |
| dist ⊚ | |
| ((id↔ ⊗ | |
| ((swap⋆ ⊚ dist ⊚ (swap⋆ ⊕ swap⋆)) ⊚ | |
| (id↔ ⊕ (swap₊ ⊗ id↔)) ⊚ (swap⋆ ⊕ swap⋆) ⊚ factor ⊚ swap⋆)) | |
| ⊕ (id↔ ⊗ (swap₊ ⊗ id↔))) | |
| ⊚ factor ⊚ assocl⋆ ⊚ (swap⋆ ⊗ id↔) ⊚ assocr⋆) | |
| ⊕ id↔) | |
| ⊚ | |
| (((id↔ ⊗ ((dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ (swap₊ ⊗ id↔))) | |
| ⊚ | |
| (assocl⋆ ⊚ | |
| ((swap⋆ ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ swap⋆) ⊗ id↔) ⊚ | |
| assocr⋆) | |
| ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₁ (inj₂ (tt , 𝔽 , 𝔽)) ⟧⟫ | |
| ∷ | |
| ⟪ ⇒ ∣ | |
| ((id↔ ⊕ | |
| (id↔ ⊗ | |
| ((id↔ ⊚ (swap⋆ ⊕ swap⋆)) ⊚ | |
| ((swap₊ ⊗ id↔) ⊕ id↔) ⊚ (swap⋆ ⊕ swap⋆) ⊚ factor ⊚ swap⋆))) | |
| ⊕ id↔) | |
| ⊚ | |
| (factor ⊕ id↔) ⊚ | |
| ((assocl⋆ ⊚ | |
| (swap⋆ ⊗ id↔) ⊚ | |
| assocr⋆ ⊚ | |
| dist ⊚ | |
| ((id↔ ⊗ | |
| ((swap⋆ ⊚ dist ⊚ (swap⋆ ⊕ swap⋆)) ⊚ | |
| (id↔ ⊕ (swap₊ ⊗ id↔)) ⊚ (swap⋆ ⊕ swap⋆) ⊚ factor ⊚ swap⋆)) | |
| ⊕ (id↔ ⊗ (swap₊ ⊗ id↔))) | |
| ⊚ factor ⊚ assocl⋆ ⊚ (swap⋆ ⊗ id↔) ⊚ assocr⋆) | |
| ⊕ id↔) | |
| ⊚ | |
| (((id↔ ⊗ ((dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ (swap₊ ⊗ id↔))) | |
| ⊚ | |
| (assocl⋆ ⊚ | |
| ((swap⋆ ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ swap⋆) ⊗ id↔) ⊚ | |
| assocr⋆) | |
| ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₁ (inj₂ (tt , inj₁ (tt , 𝔽))) ⟧⟫ | |
| ∷ | |
| ⟪ ⇒ ∣ | |
| ((id↔ ⊕ | |
| (id↔ ⊗ | |
| ((swap⋆ ⊕ swap⋆) ⊚ | |
| ((swap₊ ⊗ id↔) ⊕ id↔) ⊚ (swap⋆ ⊕ swap⋆) ⊚ factor ⊚ swap⋆))) | |
| ⊕ id↔) | |
| ⊚ | |
| (factor ⊕ id↔) ⊚ | |
| ((assocl⋆ ⊚ | |
| (swap⋆ ⊗ id↔) ⊚ | |
| assocr⋆ ⊚ | |
| dist ⊚ | |
| ((id↔ ⊗ | |
| ((swap⋆ ⊚ dist ⊚ (swap⋆ ⊕ swap⋆)) ⊚ | |
| (id↔ ⊕ (swap₊ ⊗ id↔)) ⊚ (swap⋆ ⊕ swap⋆) ⊚ factor ⊚ swap⋆)) | |
| ⊕ (id↔ ⊗ (swap₊ ⊗ id↔))) | |
| ⊚ factor ⊚ assocl⋆ ⊚ (swap⋆ ⊗ id↔) ⊚ assocr⋆) | |
| ⊕ id↔) | |
| ⊚ | |
| (((id↔ ⊗ ((dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ (swap₊ ⊗ id↔))) | |
| ⊚ | |
| (assocl⋆ ⊚ | |
| ((swap⋆ ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ swap⋆) ⊗ id↔) ⊚ | |
| assocr⋆) | |
| ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₁ (inj₂ (tt , inj₁ (tt , 𝔽))) ⟧⟫ | |
| ∷ | |
| ⟪ ⇒ ∣ | |
| ((id↔ ⊕ | |
| (id↔ ⊗ | |
| ((id↔ ⊕ swap⋆) ⊚ | |
| ((swap₊ ⊗ id↔) ⊕ id↔) ⊚ (swap⋆ ⊕ swap⋆) ⊚ factor ⊚ swap⋆))) | |
| ⊕ id↔) | |
| ⊚ | |
| (factor ⊕ id↔) ⊚ | |
| ((assocl⋆ ⊚ | |
| (swap⋆ ⊗ id↔) ⊚ | |
| assocr⋆ ⊚ | |
| dist ⊚ | |
| ((id↔ ⊗ | |
| ((swap⋆ ⊚ dist ⊚ (swap⋆ ⊕ swap⋆)) ⊚ | |
| (id↔ ⊕ (swap₊ ⊗ id↔)) ⊚ (swap⋆ ⊕ swap⋆) ⊚ factor ⊚ swap⋆)) | |
| ⊕ (id↔ ⊗ (swap₊ ⊗ id↔))) | |
| ⊚ factor ⊚ assocl⋆ ⊚ (swap⋆ ⊗ id↔) ⊚ assocr⋆) | |
| ⊕ id↔) | |
| ⊚ | |
| (((id↔ ⊗ ((dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ (swap₊ ⊗ id↔))) | |
| ⊚ | |
| (assocl⋆ ⊚ | |
| ((swap⋆ ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ swap⋆) ⊗ id↔) ⊚ | |
| assocr⋆) | |
| ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₁ (inj₂ (tt , inj₁ (𝔽 , tt))) ⟧⟫ | |
| ∷ | |
| ⟪ ⇒ ∣ | |
| ((id↔ ⊕ | |
| (id↔ ⊗ | |
| ((id↔ ⊕ id↔) ⊚ | |
| ((swap₊ ⊗ id↔) ⊕ id↔) ⊚ (swap⋆ ⊕ swap⋆) ⊚ factor ⊚ swap⋆))) | |
| ⊕ id↔) | |
| ⊚ | |
| (factor ⊕ id↔) ⊚ | |
| ((assocl⋆ ⊚ | |
| (swap⋆ ⊗ id↔) ⊚ | |
| assocr⋆ ⊚ | |
| dist ⊚ | |
| ((id↔ ⊗ | |
| ((swap⋆ ⊚ dist ⊚ (swap⋆ ⊕ swap⋆)) ⊚ | |
| (id↔ ⊕ (swap₊ ⊗ id↔)) ⊚ (swap⋆ ⊕ swap⋆) ⊚ factor ⊚ swap⋆)) | |
| ⊕ (id↔ ⊗ (swap₊ ⊗ id↔))) | |
| ⊚ factor ⊚ assocl⋆ ⊚ (swap⋆ ⊗ id↔) ⊚ assocr⋆) | |
| ⊕ id↔) | |
| ⊚ | |
| (((id↔ ⊗ ((dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ (swap₊ ⊗ id↔))) | |
| ⊚ | |
| (assocl⋆ ⊚ | |
| ((swap⋆ ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ swap⋆) ⊗ id↔) ⊚ | |
| assocr⋆) | |
| ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₁ (inj₂ (tt , inj₁ (𝔽 , tt))) ⟧⟫ | |
| ∷ | |
| ⟪ ⇒ ∣ | |
| ((id↔ ⊕ | |
| (id↔ ⊗ | |
| (id↔ ⊚ ((swap₊ ⊗ id↔) ⊕ id↔) ⊚ (swap⋆ ⊕ swap⋆) ⊚ factor ⊚ swap⋆))) | |
| ⊕ id↔) | |
| ⊚ | |
| (factor ⊕ id↔) ⊚ | |
| ((assocl⋆ ⊚ | |
| (swap⋆ ⊗ id↔) ⊚ | |
| assocr⋆ ⊚ | |
| dist ⊚ | |
| ((id↔ ⊗ | |
| ((swap⋆ ⊚ dist ⊚ (swap⋆ ⊕ swap⋆)) ⊚ | |
| (id↔ ⊕ (swap₊ ⊗ id↔)) ⊚ (swap⋆ ⊕ swap⋆) ⊚ factor ⊚ swap⋆)) | |
| ⊕ (id↔ ⊗ (swap₊ ⊗ id↔))) | |
| ⊚ factor ⊚ assocl⋆ ⊚ (swap⋆ ⊗ id↔) ⊚ assocr⋆) | |
| ⊕ id↔) | |
| ⊚ | |
| (((id↔ ⊗ ((dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ (swap₊ ⊗ id↔))) | |
| ⊚ | |
| (assocl⋆ ⊚ | |
| ((swap⋆ ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ swap⋆) ⊗ id↔) ⊚ | |
| assocr⋆) | |
| ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₁ (inj₂ (tt , inj₁ (𝔽 , tt))) ⟧⟫ | |
| ∷ | |
| ⟪ ⇒ ∣ | |
| ((id↔ ⊕ | |
| (id↔ ⊗ (((swap₊ ⊗ id↔) ⊕ id↔) ⊚ (swap⋆ ⊕ swap⋆) ⊚ factor ⊚ swap⋆))) | |
| ⊕ id↔) | |
| ⊚ | |
| (factor ⊕ id↔) ⊚ | |
| ((assocl⋆ ⊚ | |
| (swap⋆ ⊗ id↔) ⊚ | |
| assocr⋆ ⊚ | |
| dist ⊚ | |
| ((id↔ ⊗ | |
| ((swap⋆ ⊚ dist ⊚ (swap⋆ ⊕ swap⋆)) ⊚ | |
| (id↔ ⊕ (swap₊ ⊗ id↔)) ⊚ (swap⋆ ⊕ swap⋆) ⊚ factor ⊚ swap⋆)) | |
| ⊕ (id↔ ⊗ (swap₊ ⊗ id↔))) | |
| ⊚ factor ⊚ assocl⋆ ⊚ (swap⋆ ⊗ id↔) ⊚ assocr⋆) | |
| ⊕ id↔) | |
| ⊚ | |
| (((id↔ ⊗ ((dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ (swap₊ ⊗ id↔))) | |
| ⊚ | |
| (assocl⋆ ⊚ | |
| ((swap⋆ ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ swap⋆) ⊗ id↔) ⊚ | |
| assocr⋆) | |
| ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₁ (inj₂ (tt , inj₁ (𝔽 , tt))) ⟧⟫ | |
| ∷ | |
| ⟪ ⇒ ∣ | |
| ((id↔ ⊕ | |
| (id↔ ⊗ (((id↔ ⊗ id↔) ⊕ id↔) ⊚ (swap⋆ ⊕ swap⋆) ⊚ factor ⊚ swap⋆))) | |
| ⊕ id↔) | |
| ⊚ | |
| (factor ⊕ id↔) ⊚ | |
| ((assocl⋆ ⊚ | |
| (swap⋆ ⊗ id↔) ⊚ | |
| assocr⋆ ⊚ | |
| dist ⊚ | |
| ((id↔ ⊗ | |
| ((swap⋆ ⊚ dist ⊚ (swap⋆ ⊕ swap⋆)) ⊚ | |
| (id↔ ⊕ (swap₊ ⊗ id↔)) ⊚ (swap⋆ ⊕ swap⋆) ⊚ factor ⊚ swap⋆)) | |
| ⊕ (id↔ ⊗ (swap₊ ⊗ id↔))) | |
| ⊚ factor ⊚ assocl⋆ ⊚ (swap⋆ ⊗ id↔) ⊚ assocr⋆) | |
| ⊕ id↔) | |
| ⊚ | |
| (((id↔ ⊗ ((dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ (swap₊ ⊗ id↔))) | |
| ⊚ | |
| (assocl⋆ ⊚ | |
| ((swap⋆ ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ swap⋆) ⊗ id↔) ⊚ | |
| assocr⋆) | |
| ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₁ (inj₂ (tt , inj₁ (𝕋 , tt))) ⟧⟫ | |
| ∷ | |
| ⟪ ⇒ ∣ | |
| ((id↔ ⊕ (id↔ ⊗ ((id↔ ⊕ id↔) ⊚ (swap⋆ ⊕ swap⋆) ⊚ factor ⊚ swap⋆))) ⊕ | |
| id↔) | |
| ⊚ | |
| (factor ⊕ id↔) ⊚ | |
| ((assocl⋆ ⊚ | |
| (swap⋆ ⊗ id↔) ⊚ | |
| assocr⋆ ⊚ | |
| dist ⊚ | |
| ((id↔ ⊗ | |
| ((swap⋆ ⊚ dist ⊚ (swap⋆ ⊕ swap⋆)) ⊚ | |
| (id↔ ⊕ (swap₊ ⊗ id↔)) ⊚ (swap⋆ ⊕ swap⋆) ⊚ factor ⊚ swap⋆)) | |
| ⊕ (id↔ ⊗ (swap₊ ⊗ id↔))) | |
| ⊚ factor ⊚ assocl⋆ ⊚ (swap⋆ ⊗ id↔) ⊚ assocr⋆) | |
| ⊕ id↔) | |
| ⊚ | |
| (((id↔ ⊗ ((dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ (swap₊ ⊗ id↔))) | |
| ⊚ | |
| (assocl⋆ ⊚ | |
| ((swap⋆ ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ swap⋆) ⊗ id↔) ⊚ | |
| assocr⋆) | |
| ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₁ (inj₂ (tt , inj₁ (𝕋 , tt))) ⟧⟫ | |
| ∷ | |
| ⟪ ⇒ ∣ | |
| ((id↔ ⊕ (id↔ ⊗ (id↔ ⊚ (swap⋆ ⊕ swap⋆) ⊚ factor ⊚ swap⋆))) ⊕ id↔) ⊚ | |
| (factor ⊕ id↔) ⊚ | |
| ((assocl⋆ ⊚ | |
| (swap⋆ ⊗ id↔) ⊚ | |
| assocr⋆ ⊚ | |
| dist ⊚ | |
| ((id↔ ⊗ | |
| ((swap⋆ ⊚ dist ⊚ (swap⋆ ⊕ swap⋆)) ⊚ | |
| (id↔ ⊕ (swap₊ ⊗ id↔)) ⊚ (swap⋆ ⊕ swap⋆) ⊚ factor ⊚ swap⋆)) | |
| ⊕ (id↔ ⊗ (swap₊ ⊗ id↔))) | |
| ⊚ factor ⊚ assocl⋆ ⊚ (swap⋆ ⊗ id↔) ⊚ assocr⋆) | |
| ⊕ id↔) | |
| ⊚ | |
| (((id↔ ⊗ ((dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ (swap₊ ⊗ id↔))) | |
| ⊚ | |
| (assocl⋆ ⊚ | |
| ((swap⋆ ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ swap⋆) ⊗ id↔) ⊚ | |
| assocr⋆) | |
| ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₁ (inj₂ (tt , inj₁ (𝕋 , tt))) ⟧⟫ | |
| ∷ | |
| ⟪ ⇒ ∣ | |
| ((id↔ ⊕ (id↔ ⊗ ((swap⋆ ⊕ swap⋆) ⊚ factor ⊚ swap⋆))) ⊕ id↔) ⊚ | |
| (factor ⊕ id↔) ⊚ | |
| ((assocl⋆ ⊚ | |
| (swap⋆ ⊗ id↔) ⊚ | |
| assocr⋆ ⊚ | |
| dist ⊚ | |
| ((id↔ ⊗ | |
| ((swap⋆ ⊚ dist ⊚ (swap⋆ ⊕ swap⋆)) ⊚ | |
| (id↔ ⊕ (swap₊ ⊗ id↔)) ⊚ (swap⋆ ⊕ swap⋆) ⊚ factor ⊚ swap⋆)) | |
| ⊕ (id↔ ⊗ (swap₊ ⊗ id↔))) | |
| ⊚ factor ⊚ assocl⋆ ⊚ (swap⋆ ⊗ id↔) ⊚ assocr⋆) | |
| ⊕ id↔) | |
| ⊚ | |
| (((id↔ ⊗ ((dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ (swap₊ ⊗ id↔))) | |
| ⊚ | |
| (assocl⋆ ⊚ | |
| ((swap⋆ ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ swap⋆) ⊗ id↔) ⊚ | |
| assocr⋆) | |
| ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₁ (inj₂ (tt , inj₁ (𝕋 , tt))) ⟧⟫ | |
| ∷ | |
| ⟪ ⇒ ∣ | |
| ((id↔ ⊕ (id↔ ⊗ ((id↔ ⊕ swap⋆) ⊚ factor ⊚ swap⋆))) ⊕ id↔) ⊚ | |
| (factor ⊕ id↔) ⊚ | |
| ((assocl⋆ ⊚ | |
| (swap⋆ ⊗ id↔) ⊚ | |
| assocr⋆ ⊚ | |
| dist ⊚ | |
| ((id↔ ⊗ | |
| ((swap⋆ ⊚ dist ⊚ (swap⋆ ⊕ swap⋆)) ⊚ | |
| (id↔ ⊕ (swap₊ ⊗ id↔)) ⊚ (swap⋆ ⊕ swap⋆) ⊚ factor ⊚ swap⋆)) | |
| ⊕ (id↔ ⊗ (swap₊ ⊗ id↔))) | |
| ⊚ factor ⊚ assocl⋆ ⊚ (swap⋆ ⊗ id↔) ⊚ assocr⋆) | |
| ⊕ id↔) | |
| ⊚ | |
| (((id↔ ⊗ ((dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ (swap₊ ⊗ id↔))) | |
| ⊚ | |
| (assocl⋆ ⊚ | |
| ((swap⋆ ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ swap⋆) ⊗ id↔) ⊚ | |
| assocr⋆) | |
| ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₁ (inj₂ (tt , inj₁ (tt , 𝕋))) ⟧⟫ | |
| ∷ | |
| ⟪ ⇒ ∣ | |
| ((id↔ ⊕ (id↔ ⊗ ((id↔ ⊕ id↔) ⊚ factor ⊚ swap⋆))) ⊕ id↔) ⊚ | |
| (factor ⊕ id↔) ⊚ | |
| ((assocl⋆ ⊚ | |
| (swap⋆ ⊗ id↔) ⊚ | |
| assocr⋆ ⊚ | |
| dist ⊚ | |
| ((id↔ ⊗ | |
| ((swap⋆ ⊚ dist ⊚ (swap⋆ ⊕ swap⋆)) ⊚ | |
| (id↔ ⊕ (swap₊ ⊗ id↔)) ⊚ (swap⋆ ⊕ swap⋆) ⊚ factor ⊚ swap⋆)) | |
| ⊕ (id↔ ⊗ (swap₊ ⊗ id↔))) | |
| ⊚ factor ⊚ assocl⋆ ⊚ (swap⋆ ⊗ id↔) ⊚ assocr⋆) | |
| ⊕ id↔) | |
| ⊚ | |
| (((id↔ ⊗ ((dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ (swap₊ ⊗ id↔))) | |
| ⊚ | |
| (assocl⋆ ⊚ | |
| ((swap⋆ ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ swap⋆) ⊗ id↔) ⊚ | |
| assocr⋆) | |
| ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₁ (inj₂ (tt , inj₁ (tt , 𝕋))) ⟧⟫ | |
| ∷ | |
| ⟪ ⇒ ∣ | |
| ((id↔ ⊕ (id↔ ⊗ (id↔ ⊚ factor ⊚ swap⋆))) ⊕ id↔) ⊚ | |
| (factor ⊕ id↔) ⊚ | |
| ((assocl⋆ ⊚ | |
| (swap⋆ ⊗ id↔) ⊚ | |
| assocr⋆ ⊚ | |
| dist ⊚ | |
| ((id↔ ⊗ | |
| ((swap⋆ ⊚ dist ⊚ (swap⋆ ⊕ swap⋆)) ⊚ | |
| (id↔ ⊕ (swap₊ ⊗ id↔)) ⊚ (swap⋆ ⊕ swap⋆) ⊚ factor ⊚ swap⋆)) | |
| ⊕ (id↔ ⊗ (swap₊ ⊗ id↔))) | |
| ⊚ factor ⊚ assocl⋆ ⊚ (swap⋆ ⊗ id↔) ⊚ assocr⋆) | |
| ⊕ id↔) | |
| ⊚ | |
| (((id↔ ⊗ ((dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ (swap₊ ⊗ id↔))) | |
| ⊚ | |
| (assocl⋆ ⊚ | |
| ((swap⋆ ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ swap⋆) ⊗ id↔) ⊚ | |
| assocr⋆) | |
| ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₁ (inj₂ (tt , inj₁ (tt , 𝕋))) ⟧⟫ | |
| ∷ | |
| ⟪ ⇒ ∣ | |
| ((id↔ ⊕ (id↔ ⊗ (factor ⊚ swap⋆))) ⊕ id↔) ⊚ | |
| (factor ⊕ id↔) ⊚ | |
| ((assocl⋆ ⊚ | |
| (swap⋆ ⊗ id↔) ⊚ | |
| assocr⋆ ⊚ | |
| dist ⊚ | |
| ((id↔ ⊗ | |
| ((swap⋆ ⊚ dist ⊚ (swap⋆ ⊕ swap⋆)) ⊚ | |
| (id↔ ⊕ (swap₊ ⊗ id↔)) ⊚ (swap⋆ ⊕ swap⋆) ⊚ factor ⊚ swap⋆)) | |
| ⊕ (id↔ ⊗ (swap₊ ⊗ id↔))) | |
| ⊚ factor ⊚ assocl⋆ ⊚ (swap⋆ ⊗ id↔) ⊚ assocr⋆) | |
| ⊕ id↔) | |
| ⊚ | |
| (((id↔ ⊗ ((dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ (swap₊ ⊗ id↔))) | |
| ⊚ | |
| (assocl⋆ ⊚ | |
| ((swap⋆ ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ swap⋆) ⊗ id↔) ⊚ | |
| assocr⋆) | |
| ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₁ (inj₂ (tt , inj₁ (tt , 𝕋))) ⟧⟫ | |
| ∷ | |
| ⟪ ⇒ ∣ | |
| ((id↔ ⊕ (id↔ ⊗ (id↔ ⊚ swap⋆))) ⊕ id↔) ⊚ | |
| (factor ⊕ id↔) ⊚ | |
| ((assocl⋆ ⊚ | |
| (swap⋆ ⊗ id↔) ⊚ | |
| assocr⋆ ⊚ | |
| dist ⊚ | |
| ((id↔ ⊗ | |
| ((swap⋆ ⊚ dist ⊚ (swap⋆ ⊕ swap⋆)) ⊚ | |
| (id↔ ⊕ (swap₊ ⊗ id↔)) ⊚ (swap⋆ ⊕ swap⋆) ⊚ factor ⊚ swap⋆)) | |
| ⊕ (id↔ ⊗ (swap₊ ⊗ id↔))) | |
| ⊚ factor ⊚ assocl⋆ ⊚ (swap⋆ ⊗ id↔) ⊚ assocr⋆) | |
| ⊕ id↔) | |
| ⊚ | |
| (((id↔ ⊗ ((dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ (swap₊ ⊗ id↔))) | |
| ⊚ | |
| (assocl⋆ ⊚ | |
| ((swap⋆ ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ swap⋆) ⊗ id↔) ⊚ | |
| assocr⋆) | |
| ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₁ (inj₂ (tt , 𝔽 , 𝕋)) ⟧⟫ | |
| ∷ | |
| ⟪ ⇒ ∣ | |
| ((id↔ ⊕ (id↔ ⊗ swap⋆)) ⊕ id↔) ⊚ | |
| (factor ⊕ id↔) ⊚ | |
| ((assocl⋆ ⊚ | |
| (swap⋆ ⊗ id↔) ⊚ | |
| assocr⋆ ⊚ | |
| dist ⊚ | |
| ((id↔ ⊗ | |
| ((swap⋆ ⊚ dist ⊚ (swap⋆ ⊕ swap⋆)) ⊚ | |
| (id↔ ⊕ (swap₊ ⊗ id↔)) ⊚ (swap⋆ ⊕ swap⋆) ⊚ factor ⊚ swap⋆)) | |
| ⊕ (id↔ ⊗ (swap₊ ⊗ id↔))) | |
| ⊚ factor ⊚ assocl⋆ ⊚ (swap⋆ ⊗ id↔) ⊚ assocr⋆) | |
| ⊕ id↔) | |
| ⊚ | |
| (((id↔ ⊗ ((dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ (swap₊ ⊗ id↔))) | |
| ⊚ | |
| (assocl⋆ ⊚ | |
| ((swap⋆ ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ swap⋆) ⊗ id↔) ⊚ | |
| assocr⋆) | |
| ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₁ (inj₂ (tt , 𝔽 , 𝕋)) ⟧⟫ | |
| ∷ | |
| ⟪ ⇒ ∣ | |
| ((id↔ ⊕ (id↔ ⊗ id↔)) ⊕ id↔) ⊚ | |
| (factor ⊕ id↔) ⊚ | |
| ((assocl⋆ ⊚ | |
| (swap⋆ ⊗ id↔) ⊚ | |
| assocr⋆ ⊚ | |
| dist ⊚ | |
| ((id↔ ⊗ | |
| ((swap⋆ ⊚ dist ⊚ (swap⋆ ⊕ swap⋆)) ⊚ | |
| (id↔ ⊕ (swap₊ ⊗ id↔)) ⊚ (swap⋆ ⊕ swap⋆) ⊚ factor ⊚ swap⋆)) | |
| ⊕ (id↔ ⊗ (swap₊ ⊗ id↔))) | |
| ⊚ factor ⊚ assocl⋆ ⊚ (swap⋆ ⊗ id↔) ⊚ assocr⋆) | |
| ⊕ id↔) | |
| ⊚ | |
| (((id↔ ⊗ ((dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ (swap₊ ⊗ id↔))) | |
| ⊚ | |
| (assocl⋆ ⊚ | |
| ((swap⋆ ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ swap⋆) ⊗ id↔) ⊚ | |
| assocr⋆) | |
| ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₁ (inj₂ (tt , 𝕋 , 𝔽)) ⟧⟫ | |
| ∷ | |
| ⟪ ⇒ ∣ | |
| ((id↔ ⊕ id↔) ⊕ id↔) ⊚ | |
| (factor ⊕ id↔) ⊚ | |
| ((assocl⋆ ⊚ | |
| (swap⋆ ⊗ id↔) ⊚ | |
| assocr⋆ ⊚ | |
| dist ⊚ | |
| ((id↔ ⊗ | |
| ((swap⋆ ⊚ dist ⊚ (swap⋆ ⊕ swap⋆)) ⊚ | |
| (id↔ ⊕ (swap₊ ⊗ id↔)) ⊚ (swap⋆ ⊕ swap⋆) ⊚ factor ⊚ swap⋆)) | |
| ⊕ (id↔ ⊗ (swap₊ ⊗ id↔))) | |
| ⊚ factor ⊚ assocl⋆ ⊚ (swap⋆ ⊗ id↔) ⊚ assocr⋆) | |
| ⊕ id↔) | |
| ⊚ | |
| (((id↔ ⊗ ((dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ (swap₊ ⊗ id↔))) | |
| ⊚ | |
| (assocl⋆ ⊚ | |
| ((swap⋆ ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ swap⋆) ⊗ id↔) ⊚ | |
| assocr⋆) | |
| ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₁ (inj₂ (tt , 𝕋 , 𝔽)) ⟧⟫ | |
| ∷ | |
| ⟪ ⇒ ∣ | |
| (id↔ ⊕ id↔) ⊚ | |
| (factor ⊕ id↔) ⊚ | |
| ((assocl⋆ ⊚ | |
| (swap⋆ ⊗ id↔) ⊚ | |
| assocr⋆ ⊚ | |
| dist ⊚ | |
| ((id↔ ⊗ | |
| ((swap⋆ ⊚ dist ⊚ (swap⋆ ⊕ swap⋆)) ⊚ | |
| (id↔ ⊕ (swap₊ ⊗ id↔)) ⊚ (swap⋆ ⊕ swap⋆) ⊚ factor ⊚ swap⋆)) | |
| ⊕ (id↔ ⊗ (swap₊ ⊗ id↔))) | |
| ⊚ factor ⊚ assocl⋆ ⊚ (swap⋆ ⊗ id↔) ⊚ assocr⋆) | |
| ⊕ id↔) | |
| ⊚ | |
| (((id↔ ⊗ ((dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ (swap₊ ⊗ id↔))) | |
| ⊚ | |
| (assocl⋆ ⊚ | |
| ((swap⋆ ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ swap⋆) ⊗ id↔) ⊚ | |
| assocr⋆) | |
| ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₁ (inj₂ (tt , 𝕋 , 𝔽)) ⟧⟫ | |
| ∷ | |
| ⟪ ⇒ ∣ | |
| id↔ ⊚ | |
| (factor ⊕ id↔) ⊚ | |
| ((assocl⋆ ⊚ | |
| (swap⋆ ⊗ id↔) ⊚ | |
| assocr⋆ ⊚ | |
| dist ⊚ | |
| ((id↔ ⊗ | |
| ((swap⋆ ⊚ dist ⊚ (swap⋆ ⊕ swap⋆)) ⊚ | |
| (id↔ ⊕ (swap₊ ⊗ id↔)) ⊚ (swap⋆ ⊕ swap⋆) ⊚ factor ⊚ swap⋆)) | |
| ⊕ (id↔ ⊗ (swap₊ ⊗ id↔))) | |
| ⊚ factor ⊚ assocl⋆ ⊚ (swap⋆ ⊗ id↔) ⊚ assocr⋆) | |
| ⊕ id↔) | |
| ⊚ | |
| (((id↔ ⊗ ((dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ (swap₊ ⊗ id↔))) | |
| ⊚ | |
| (assocl⋆ ⊚ | |
| ((swap⋆ ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ swap⋆) ⊗ id↔) ⊚ | |
| assocr⋆) | |
| ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₁ (inj₂ (tt , 𝕋 , 𝔽)) ⟧⟫ | |
| ∷ | |
| ⟪ ⇒ ∣ | |
| (factor ⊕ id↔) ⊚ | |
| ((assocl⋆ ⊚ | |
| (swap⋆ ⊗ id↔) ⊚ | |
| assocr⋆ ⊚ | |
| dist ⊚ | |
| ((id↔ ⊗ | |
| ((swap⋆ ⊚ dist ⊚ (swap⋆ ⊕ swap⋆)) ⊚ | |
| (id↔ ⊕ (swap₊ ⊗ id↔)) ⊚ (swap⋆ ⊕ swap⋆) ⊚ factor ⊚ swap⋆)) | |
| ⊕ (id↔ ⊗ (swap₊ ⊗ id↔))) | |
| ⊚ factor ⊚ assocl⋆ ⊚ (swap⋆ ⊗ id↔) ⊚ assocr⋆) | |
| ⊕ id↔) | |
| ⊚ | |
| (((id↔ ⊗ ((dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ (swap₊ ⊗ id↔))) | |
| ⊚ | |
| (assocl⋆ ⊚ | |
| ((swap⋆ ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ swap⋆) ⊗ id↔) ⊚ | |
| assocr⋆) | |
| ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₁ (inj₂ (tt , 𝕋 , 𝔽)) ⟧⟫ | |
| ∷ | |
| ⟪ ⇒ ∣ | |
| (id↔ ⊕ id↔) ⊚ | |
| ((assocl⋆ ⊚ | |
| (swap⋆ ⊗ id↔) ⊚ | |
| assocr⋆ ⊚ | |
| dist ⊚ | |
| ((id↔ ⊗ | |
| ((swap⋆ ⊚ dist ⊚ (swap⋆ ⊕ swap⋆)) ⊚ | |
| (id↔ ⊕ (swap₊ ⊗ id↔)) ⊚ (swap⋆ ⊕ swap⋆) ⊚ factor ⊚ swap⋆)) | |
| ⊕ (id↔ ⊗ (swap₊ ⊗ id↔))) | |
| ⊚ factor ⊚ assocl⋆ ⊚ (swap⋆ ⊗ id↔) ⊚ assocr⋆) | |
| ⊕ id↔) | |
| ⊚ | |
| (((id↔ ⊗ ((dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ (swap₊ ⊗ id↔))) | |
| ⊚ | |
| (assocl⋆ ⊚ | |
| ((swap⋆ ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ swap⋆) ⊗ id↔) ⊚ | |
| assocr⋆) | |
| ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₁ (𝕋 , 𝕋 , 𝔽) ⟧⟫ | |
| ∷ | |
| ⟪ ⇒ ∣ | |
| id↔ ⊚ | |
| ((assocl⋆ ⊚ | |
| (swap⋆ ⊗ id↔) ⊚ | |
| assocr⋆ ⊚ | |
| dist ⊚ | |
| ((id↔ ⊗ | |
| ((swap⋆ ⊚ dist ⊚ (swap⋆ ⊕ swap⋆)) ⊚ | |
| (id↔ ⊕ (swap₊ ⊗ id↔)) ⊚ (swap⋆ ⊕ swap⋆) ⊚ factor ⊚ swap⋆)) | |
| ⊕ (id↔ ⊗ (swap₊ ⊗ id↔))) | |
| ⊚ factor ⊚ assocl⋆ ⊚ (swap⋆ ⊗ id↔) ⊚ assocr⋆) | |
| ⊕ id↔) | |
| ⊚ | |
| (((id↔ ⊗ ((dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ (swap₊ ⊗ id↔))) | |
| ⊚ | |
| (assocl⋆ ⊚ | |
| ((swap⋆ ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ swap⋆) ⊗ id↔) ⊚ | |
| assocr⋆) | |
| ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₁ (𝕋 , 𝕋 , 𝔽) ⟧⟫ | |
| ∷ | |
| ⟪ ⇒ ∣ | |
| ((assocl⋆ ⊚ | |
| (swap⋆ ⊗ id↔) ⊚ | |
| assocr⋆ ⊚ | |
| dist ⊚ | |
| ((id↔ ⊗ | |
| ((swap⋆ ⊚ dist ⊚ (swap⋆ ⊕ swap⋆)) ⊚ | |
| (id↔ ⊕ (swap₊ ⊗ id↔)) ⊚ (swap⋆ ⊕ swap⋆) ⊚ factor ⊚ swap⋆)) | |
| ⊕ (id↔ ⊗ (swap₊ ⊗ id↔))) | |
| ⊚ factor ⊚ assocl⋆ ⊚ (swap⋆ ⊗ id↔) ⊚ assocr⋆) | |
| ⊕ id↔) | |
| ⊚ | |
| (((id↔ ⊗ ((dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ (swap₊ ⊗ id↔))) | |
| ⊚ | |
| (assocl⋆ ⊚ | |
| ((swap⋆ ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ swap⋆) ⊗ id↔) ⊚ | |
| assocr⋆) | |
| ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₁ (𝕋 , 𝕋 , 𝔽) ⟧⟫ | |
| ∷ | |
| ⟪ ⇒ ∣ | |
| ((id↔ ⊚ | |
| (swap⋆ ⊗ id↔) ⊚ | |
| assocr⋆ ⊚ | |
| dist ⊚ | |
| ((id↔ ⊗ | |
| ((swap⋆ ⊚ dist ⊚ (swap⋆ ⊕ swap⋆)) ⊚ | |
| (id↔ ⊕ (swap₊ ⊗ id↔)) ⊚ (swap⋆ ⊕ swap⋆) ⊚ factor ⊚ swap⋆)) | |
| ⊕ (id↔ ⊗ (swap₊ ⊗ id↔))) | |
| ⊚ factor ⊚ assocl⋆ ⊚ (swap⋆ ⊗ id↔) ⊚ assocr⋆) | |
| ⊕ id↔) | |
| ⊚ | |
| (((id↔ ⊗ ((dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ (swap₊ ⊗ id↔))) | |
| ⊚ | |
| (assocl⋆ ⊚ | |
| ((swap⋆ ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ swap⋆) ⊗ id↔) ⊚ | |
| assocr⋆) | |
| ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₁ ((𝕋 , 𝕋) , 𝔽) ⟧⟫ | |
| ∷ | |
| ⟪ ⇒ ∣ | |
| (((swap⋆ ⊗ id↔) ⊚ | |
| assocr⋆ ⊚ | |
| dist ⊚ | |
| ((id↔ ⊗ | |
| ((swap⋆ ⊚ dist ⊚ (swap⋆ ⊕ swap⋆)) ⊚ | |
| (id↔ ⊕ (swap₊ ⊗ id↔)) ⊚ (swap⋆ ⊕ swap⋆) ⊚ factor ⊚ swap⋆)) | |
| ⊕ (id↔ ⊗ (swap₊ ⊗ id↔))) | |
| ⊚ factor ⊚ assocl⋆ ⊚ (swap⋆ ⊗ id↔) ⊚ assocr⋆) | |
| ⊕ id↔) | |
| ⊚ | |
| (((id↔ ⊗ ((dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ (swap₊ ⊗ id↔))) | |
| ⊚ | |
| (assocl⋆ ⊚ | |
| ((swap⋆ ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ swap⋆) ⊗ id↔) ⊚ | |
| assocr⋆) | |
| ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₁ ((𝕋 , 𝕋) , 𝔽) ⟧⟫ | |
| ∷ | |
| ⟪ ⇒ ∣ | |
| (((id↔ ⊗ id↔) ⊚ | |
| assocr⋆ ⊚ | |
| dist ⊚ | |
| ((id↔ ⊗ | |
| ((swap⋆ ⊚ dist ⊚ (swap⋆ ⊕ swap⋆)) ⊚ | |
| (id↔ ⊕ (swap₊ ⊗ id↔)) ⊚ (swap⋆ ⊕ swap⋆) ⊚ factor ⊚ swap⋆)) | |
| ⊕ (id↔ ⊗ (swap₊ ⊗ id↔))) | |
| ⊚ factor ⊚ assocl⋆ ⊚ (swap⋆ ⊗ id↔) ⊚ assocr⋆) | |
| ⊕ id↔) | |
| ⊚ | |
| (((id↔ ⊗ ((dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ (swap₊ ⊗ id↔))) | |
| ⊚ | |
| (assocl⋆ ⊚ | |
| ((swap⋆ ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ swap⋆) ⊗ id↔) ⊚ | |
| assocr⋆) | |
| ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₁ ((𝕋 , 𝕋) , 𝔽) ⟧⟫ | |
| ∷ | |
| ⟪ ⇒ ∣ | |
| ((id↔ ⊚ | |
| assocr⋆ ⊚ | |
| dist ⊚ | |
| ((id↔ ⊗ | |
| ((swap⋆ ⊚ dist ⊚ (swap⋆ ⊕ swap⋆)) ⊚ | |
| (id↔ ⊕ (swap₊ ⊗ id↔)) ⊚ (swap⋆ ⊕ swap⋆) ⊚ factor ⊚ swap⋆)) | |
| ⊕ (id↔ ⊗ (swap₊ ⊗ id↔))) | |
| ⊚ factor ⊚ assocl⋆ ⊚ (swap⋆ ⊗ id↔) ⊚ assocr⋆) | |
| ⊕ id↔) | |
| ⊚ | |
| (((id↔ ⊗ ((dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ (swap₊ ⊗ id↔))) | |
| ⊚ | |
| (assocl⋆ ⊚ | |
| ((swap⋆ ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ swap⋆) ⊗ id↔) ⊚ | |
| assocr⋆) | |
| ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₁ ((𝕋 , 𝕋) , 𝔽) ⟧⟫ | |
| ∷ | |
| ⟪ ⇒ ∣ | |
| ((assocr⋆ ⊚ | |
| dist ⊚ | |
| ((id↔ ⊗ | |
| ((swap⋆ ⊚ dist ⊚ (swap⋆ ⊕ swap⋆)) ⊚ | |
| (id↔ ⊕ (swap₊ ⊗ id↔)) ⊚ (swap⋆ ⊕ swap⋆) ⊚ factor ⊚ swap⋆)) | |
| ⊕ (id↔ ⊗ (swap₊ ⊗ id↔))) | |
| ⊚ factor ⊚ assocl⋆ ⊚ (swap⋆ ⊗ id↔) ⊚ assocr⋆) | |
| ⊕ id↔) | |
| ⊚ | |
| (((id↔ ⊗ ((dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ (swap₊ ⊗ id↔))) | |
| ⊚ | |
| (assocl⋆ ⊚ | |
| ((swap⋆ ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ swap⋆) ⊗ id↔) ⊚ | |
| assocr⋆) | |
| ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₁ ((𝕋 , 𝕋) , 𝔽) ⟧⟫ | |
| ∷ | |
| ⟪ ⇒ ∣ | |
| ((id↔ ⊚ | |
| dist ⊚ | |
| ((id↔ ⊗ | |
| ((swap⋆ ⊚ dist ⊚ (swap⋆ ⊕ swap⋆)) ⊚ | |
| (id↔ ⊕ (swap₊ ⊗ id↔)) ⊚ (swap⋆ ⊕ swap⋆) ⊚ factor ⊚ swap⋆)) | |
| ⊕ (id↔ ⊗ (swap₊ ⊗ id↔))) | |
| ⊚ factor ⊚ assocl⋆ ⊚ (swap⋆ ⊗ id↔) ⊚ assocr⋆) | |
| ⊕ id↔) | |
| ⊚ | |
| (((id↔ ⊗ ((dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ (swap₊ ⊗ id↔))) | |
| ⊚ | |
| (assocl⋆ ⊚ | |
| ((swap⋆ ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ swap⋆) ⊗ id↔) ⊚ | |
| assocr⋆) | |
| ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₁ (𝕋 , 𝕋 , 𝔽) ⟧⟫ | |
| ∷ | |
| ⟪ ⇒ ∣ | |
| ((dist ⊚ | |
| ((id↔ ⊗ | |
| ((swap⋆ ⊚ dist ⊚ (swap⋆ ⊕ swap⋆)) ⊚ | |
| (id↔ ⊕ (swap₊ ⊗ id↔)) ⊚ (swap⋆ ⊕ swap⋆) ⊚ factor ⊚ swap⋆)) | |
| ⊕ (id↔ ⊗ (swap₊ ⊗ id↔))) | |
| ⊚ factor ⊚ assocl⋆ ⊚ (swap⋆ ⊗ id↔) ⊚ assocr⋆) | |
| ⊕ id↔) | |
| ⊚ | |
| (((id↔ ⊗ ((dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ (swap₊ ⊗ id↔))) | |
| ⊚ | |
| (assocl⋆ ⊚ | |
| ((swap⋆ ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ swap⋆) ⊗ id↔) ⊚ | |
| assocr⋆) | |
| ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₁ (𝕋 , 𝕋 , 𝔽) ⟧⟫ | |
| ∷ | |
| ⟪ ⇒ ∣ | |
| ((id↔ ⊚ | |
| ((id↔ ⊗ | |
| ((swap⋆ ⊚ dist ⊚ (swap⋆ ⊕ swap⋆)) ⊚ | |
| (id↔ ⊕ (swap₊ ⊗ id↔)) ⊚ (swap⋆ ⊕ swap⋆) ⊚ factor ⊚ swap⋆)) | |
| ⊕ (id↔ ⊗ (swap₊ ⊗ id↔))) | |
| ⊚ factor ⊚ assocl⋆ ⊚ (swap⋆ ⊗ id↔) ⊚ assocr⋆) | |
| ⊕ id↔) | |
| ⊚ | |
| (((id↔ ⊗ ((dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ (swap₊ ⊗ id↔))) | |
| ⊚ | |
| (assocl⋆ ⊚ | |
| ((swap⋆ ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ swap⋆) ⊗ id↔) ⊚ | |
| assocr⋆) | |
| ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₁ (inj₂ (tt , 𝕋 , 𝔽)) ⟧⟫ | |
| ∷ | |
| ⟪ ⇒ ∣ | |
| ((((id↔ ⊗ | |
| ((swap⋆ ⊚ dist ⊚ (swap⋆ ⊕ swap⋆)) ⊚ | |
| (id↔ ⊕ (swap₊ ⊗ id↔)) ⊚ (swap⋆ ⊕ swap⋆) ⊚ factor ⊚ swap⋆)) | |
| ⊕ (id↔ ⊗ (swap₊ ⊗ id↔))) | |
| ⊚ factor ⊚ assocl⋆ ⊚ (swap⋆ ⊗ id↔) ⊚ assocr⋆) | |
| ⊕ id↔) | |
| ⊚ | |
| (((id↔ ⊗ ((dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ (swap₊ ⊗ id↔))) | |
| ⊚ | |
| (assocl⋆ ⊚ | |
| ((swap⋆ ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ swap⋆) ⊗ id↔) ⊚ | |
| assocr⋆) | |
| ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₁ (inj₂ (tt , 𝕋 , 𝔽)) ⟧⟫ | |
| ∷ | |
| ⟪ ⇒ ∣ | |
| ((((id↔ ⊗ | |
| ((id↔ ⊚ dist ⊚ (swap⋆ ⊕ swap⋆)) ⊚ | |
| (id↔ ⊕ (swap₊ ⊗ id↔)) ⊚ (swap⋆ ⊕ swap⋆) ⊚ factor ⊚ swap⋆)) | |
| ⊕ (id↔ ⊗ (swap₊ ⊗ id↔))) | |
| ⊚ factor ⊚ assocl⋆ ⊚ (swap⋆ ⊗ id↔) ⊚ assocr⋆) | |
| ⊕ id↔) | |
| ⊚ | |
| (((id↔ ⊗ ((dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ (swap₊ ⊗ id↔))) | |
| ⊚ | |
| (assocl⋆ ⊚ | |
| ((swap⋆ ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ swap⋆) ⊗ id↔) ⊚ | |
| assocr⋆) | |
| ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₁ (inj₂ (tt , 𝕋 , 𝔽)) ⟧⟫ | |
| ∷ | |
| ⟪ ⇒ ∣ | |
| ((((id↔ ⊗ | |
| ((dist ⊚ (swap⋆ ⊕ swap⋆)) ⊚ | |
| (id↔ ⊕ (swap₊ ⊗ id↔)) ⊚ (swap⋆ ⊕ swap⋆) ⊚ factor ⊚ swap⋆)) | |
| ⊕ (id↔ ⊗ (swap₊ ⊗ id↔))) | |
| ⊚ factor ⊚ assocl⋆ ⊚ (swap⋆ ⊗ id↔) ⊚ assocr⋆) | |
| ⊕ id↔) | |
| ⊚ | |
| (((id↔ ⊗ ((dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ (swap₊ ⊗ id↔))) | |
| ⊚ | |
| (assocl⋆ ⊚ | |
| ((swap⋆ ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ swap⋆) ⊗ id↔) ⊚ | |
| assocr⋆) | |
| ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₁ (inj₂ (tt , 𝕋 , 𝔽)) ⟧⟫ | |
| ∷ | |
| ⟪ ⇒ ∣ | |
| ((((id↔ ⊗ | |
| ((id↔ ⊚ (swap⋆ ⊕ swap⋆)) ⊚ | |
| (id↔ ⊕ (swap₊ ⊗ id↔)) ⊚ (swap⋆ ⊕ swap⋆) ⊚ factor ⊚ swap⋆)) | |
| ⊕ (id↔ ⊗ (swap₊ ⊗ id↔))) | |
| ⊚ factor ⊚ assocl⋆ ⊚ (swap⋆ ⊗ id↔) ⊚ assocr⋆) | |
| ⊕ id↔) | |
| ⊚ | |
| (((id↔ ⊗ ((dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ (swap₊ ⊗ id↔))) | |
| ⊚ | |
| (assocl⋆ ⊚ | |
| ((swap⋆ ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ swap⋆) ⊗ id↔) ⊚ | |
| assocr⋆) | |
| ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₁ (inj₂ (tt , 𝕋 , 𝔽)) ⟧⟫ | |
| ∷ | |
| ⟪ ⇒ ∣ | |
| ((((id↔ ⊗ | |
| ((swap⋆ ⊕ swap⋆) ⊚ | |
| (id↔ ⊕ (swap₊ ⊗ id↔)) ⊚ (swap⋆ ⊕ swap⋆) ⊚ factor ⊚ swap⋆)) | |
| ⊕ (id↔ ⊗ (swap₊ ⊗ id↔))) | |
| ⊚ factor ⊚ assocl⋆ ⊚ (swap⋆ ⊗ id↔) ⊚ assocr⋆) | |
| ⊕ id↔) | |
| ⊚ | |
| (((id↔ ⊗ ((dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ (swap₊ ⊗ id↔))) | |
| ⊚ | |
| (assocl⋆ ⊚ | |
| ((swap⋆ ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ swap⋆) ⊗ id↔) ⊚ | |
| assocr⋆) | |
| ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₁ (inj₂ (tt , 𝕋 , 𝔽)) ⟧⟫ | |
| ∷ | |
| ⟪ ⇒ ∣ | |
| ((((id↔ ⊗ | |
| ((id↔ ⊕ swap⋆) ⊚ | |
| (id↔ ⊕ (swap₊ ⊗ id↔)) ⊚ (swap⋆ ⊕ swap⋆) ⊚ factor ⊚ swap⋆)) | |
| ⊕ (id↔ ⊗ (swap₊ ⊗ id↔))) | |
| ⊚ factor ⊚ assocl⋆ ⊚ (swap⋆ ⊗ id↔) ⊚ assocr⋆) | |
| ⊕ id↔) | |
| ⊚ | |
| (((id↔ ⊗ ((dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ (swap₊ ⊗ id↔))) | |
| ⊚ | |
| (assocl⋆ ⊚ | |
| ((swap⋆ ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ swap⋆) ⊗ id↔) ⊚ | |
| assocr⋆) | |
| ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₁ (inj₂ (tt , 𝕋 , 𝔽)) ⟧⟫ | |
| ∷ | |
| ⟪ ⇒ ∣ | |
| ((((id↔ ⊗ | |
| ((id↔ ⊕ id↔) ⊚ | |
| (id↔ ⊕ (swap₊ ⊗ id↔)) ⊚ (swap⋆ ⊕ swap⋆) ⊚ factor ⊚ swap⋆)) | |
| ⊕ (id↔ ⊗ (swap₊ ⊗ id↔))) | |
| ⊚ factor ⊚ assocl⋆ ⊚ (swap⋆ ⊗ id↔) ⊚ assocr⋆) | |
| ⊕ id↔) | |
| ⊚ | |
| (((id↔ ⊗ ((dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ (swap₊ ⊗ id↔))) | |
| ⊚ | |
| (assocl⋆ ⊚ | |
| ((swap⋆ ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ swap⋆) ⊗ id↔) ⊚ | |
| assocr⋆) | |
| ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₁ (inj₂ (tt , 𝕋 , 𝔽)) ⟧⟫ | |
| ∷ | |
| ⟪ ⇒ ∣ | |
| ((((id↔ ⊗ | |
| (id↔ ⊚ (id↔ ⊕ (swap₊ ⊗ id↔)) ⊚ (swap⋆ ⊕ swap⋆) ⊚ factor ⊚ swap⋆)) | |
| ⊕ (id↔ ⊗ (swap₊ ⊗ id↔))) | |
| ⊚ factor ⊚ assocl⋆ ⊚ (swap⋆ ⊗ id↔) ⊚ assocr⋆) | |
| ⊕ id↔) | |
| ⊚ | |
| (((id↔ ⊗ ((dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ (swap₊ ⊗ id↔))) | |
| ⊚ | |
| (assocl⋆ ⊚ | |
| ((swap⋆ ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ swap⋆) ⊗ id↔) ⊚ | |
| assocr⋆) | |
| ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₁ (inj₂ (tt , 𝕋 , 𝔽)) ⟧⟫ | |
| ∷ | |
| ⟪ ⇒ ∣ | |
| ((((id↔ ⊗ | |
| ((id↔ ⊕ (swap₊ ⊗ id↔)) ⊚ (swap⋆ ⊕ swap⋆) ⊚ factor ⊚ swap⋆)) | |
| ⊕ (id↔ ⊗ (swap₊ ⊗ id↔))) | |
| ⊚ factor ⊚ assocl⋆ ⊚ (swap⋆ ⊗ id↔) ⊚ assocr⋆) | |
| ⊕ id↔) | |
| ⊚ | |
| (((id↔ ⊗ ((dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ (swap₊ ⊗ id↔))) | |
| ⊚ | |
| (assocl⋆ ⊚ | |
| ((swap⋆ ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ swap⋆) ⊗ id↔) ⊚ | |
| assocr⋆) | |
| ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₁ (inj₂ (tt , 𝕋 , 𝔽)) ⟧⟫ | |
| ∷ | |
| ⟪ ⇒ ∣ | |
| ((((id↔ ⊗ ((id↔ ⊕ (id↔ ⊗ id↔)) ⊚ (swap⋆ ⊕ swap⋆) ⊚ factor ⊚ swap⋆)) | |
| ⊕ (id↔ ⊗ (swap₊ ⊗ id↔))) | |
| ⊚ factor ⊚ assocl⋆ ⊚ (swap⋆ ⊗ id↔) ⊚ assocr⋆) | |
| ⊕ id↔) | |
| ⊚ | |
| (((id↔ ⊗ ((dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ (swap₊ ⊗ id↔))) | |
| ⊚ | |
| (assocl⋆ ⊚ | |
| ((swap⋆ ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ swap⋆) ⊗ id↔) ⊚ | |
| assocr⋆) | |
| ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₁ (inj₂ (tt , 𝕋 , 𝔽)) ⟧⟫ | |
| ∷ | |
| ⟪ ⇒ ∣ | |
| ((((id↔ ⊗ ((id↔ ⊕ id↔) ⊚ (swap⋆ ⊕ swap⋆) ⊚ factor ⊚ swap⋆)) ⊕ | |
| (id↔ ⊗ (swap₊ ⊗ id↔))) | |
| ⊚ factor ⊚ assocl⋆ ⊚ (swap⋆ ⊗ id↔) ⊚ assocr⋆) | |
| ⊕ id↔) | |
| ⊚ | |
| (((id↔ ⊗ ((dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ (swap₊ ⊗ id↔))) | |
| ⊚ | |
| (assocl⋆ ⊚ | |
| ((swap⋆ ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ swap⋆) ⊗ id↔) ⊚ | |
| assocr⋆) | |
| ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₁ (inj₂ (tt , 𝕋 , 𝔽)) ⟧⟫ | |
| ∷ | |
| ⟪ ⇒ ∣ | |
| ((((id↔ ⊗ (id↔ ⊚ (swap⋆ ⊕ swap⋆) ⊚ factor ⊚ swap⋆)) ⊕ | |
| (id↔ ⊗ (swap₊ ⊗ id↔))) | |
| ⊚ factor ⊚ assocl⋆ ⊚ (swap⋆ ⊗ id↔) ⊚ assocr⋆) | |
| ⊕ id↔) | |
| ⊚ | |
| (((id↔ ⊗ ((dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ (swap₊ ⊗ id↔))) | |
| ⊚ | |
| (assocl⋆ ⊚ | |
| ((swap⋆ ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ swap⋆) ⊗ id↔) ⊚ | |
| assocr⋆) | |
| ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₁ (inj₂ (tt , 𝕋 , 𝔽)) ⟧⟫ | |
| ∷ | |
| ⟪ ⇒ ∣ | |
| ((((id↔ ⊗ ((swap⋆ ⊕ swap⋆) ⊚ factor ⊚ swap⋆)) ⊕ | |
| (id↔ ⊗ (swap₊ ⊗ id↔))) | |
| ⊚ factor ⊚ assocl⋆ ⊚ (swap⋆ ⊗ id↔) ⊚ assocr⋆) | |
| ⊕ id↔) | |
| ⊚ | |
| (((id↔ ⊗ ((dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ (swap₊ ⊗ id↔))) | |
| ⊚ | |
| (assocl⋆ ⊚ | |
| ((swap⋆ ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ swap⋆) ⊗ id↔) ⊚ | |
| assocr⋆) | |
| ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₁ (inj₂ (tt , 𝕋 , 𝔽)) ⟧⟫ | |
| ∷ | |
| ⟪ ⇒ ∣ | |
| ((((id↔ ⊗ ((id↔ ⊕ swap⋆) ⊚ factor ⊚ swap⋆)) ⊕ | |
| (id↔ ⊗ (swap₊ ⊗ id↔))) | |
| ⊚ factor ⊚ assocl⋆ ⊚ (swap⋆ ⊗ id↔) ⊚ assocr⋆) | |
| ⊕ id↔) | |
| ⊚ | |
| (((id↔ ⊗ ((dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ (swap₊ ⊗ id↔))) | |
| ⊚ | |
| (assocl⋆ ⊚ | |
| ((swap⋆ ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ swap⋆) ⊗ id↔) ⊚ | |
| assocr⋆) | |
| ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₁ (inj₂ (tt , 𝕋 , 𝔽)) ⟧⟫ | |
| ∷ | |
| ⟪ ⇒ ∣ | |
| ((((id↔ ⊗ ((id↔ ⊕ id↔) ⊚ factor ⊚ swap⋆)) ⊕ (id↔ ⊗ (swap₊ ⊗ id↔))) | |
| ⊚ factor ⊚ assocl⋆ ⊚ (swap⋆ ⊗ id↔) ⊚ assocr⋆) | |
| ⊕ id↔) | |
| ⊚ | |
| (((id↔ ⊗ ((dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ (swap₊ ⊗ id↔))) | |
| ⊚ | |
| (assocl⋆ ⊚ | |
| ((swap⋆ ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ swap⋆) ⊗ id↔) ⊚ | |
| assocr⋆) | |
| ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₁ (inj₂ (tt , 𝕋 , 𝔽)) ⟧⟫ | |
| ∷ | |
| ⟪ ⇒ ∣ | |
| ((((id↔ ⊗ (id↔ ⊚ factor ⊚ swap⋆)) ⊕ (id↔ ⊗ (swap₊ ⊗ id↔))) ⊚ | |
| factor ⊚ assocl⋆ ⊚ (swap⋆ ⊗ id↔) ⊚ assocr⋆) | |
| ⊕ id↔) | |
| ⊚ | |
| (((id↔ ⊗ ((dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ (swap₊ ⊗ id↔))) | |
| ⊚ | |
| (assocl⋆ ⊚ | |
| ((swap⋆ ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ swap⋆) ⊗ id↔) ⊚ | |
| assocr⋆) | |
| ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₁ (inj₂ (tt , 𝕋 , 𝔽)) ⟧⟫ | |
| ∷ | |
| ⟪ ⇒ ∣ | |
| ((((id↔ ⊗ (factor ⊚ swap⋆)) ⊕ (id↔ ⊗ (swap₊ ⊗ id↔))) ⊚ | |
| factor ⊚ assocl⋆ ⊚ (swap⋆ ⊗ id↔) ⊚ assocr⋆) | |
| ⊕ id↔) | |
| ⊚ | |
| (((id↔ ⊗ ((dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ (swap₊ ⊗ id↔))) | |
| ⊚ | |
| (assocl⋆ ⊚ | |
| ((swap⋆ ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ swap⋆) ⊗ id↔) ⊚ | |
| assocr⋆) | |
| ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₁ (inj₂ (tt , 𝕋 , 𝔽)) ⟧⟫ | |
| ∷ | |
| ⟪ ⇒ ∣ | |
| ((((id↔ ⊗ (id↔ ⊚ swap⋆)) ⊕ (id↔ ⊗ (swap₊ ⊗ id↔))) ⊚ | |
| factor ⊚ assocl⋆ ⊚ (swap⋆ ⊗ id↔) ⊚ assocr⋆) | |
| ⊕ id↔) | |
| ⊚ | |
| (((id↔ ⊗ ((dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ (swap₊ ⊗ id↔))) | |
| ⊚ | |
| (assocl⋆ ⊚ | |
| ((swap⋆ ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ swap⋆) ⊗ id↔) ⊚ | |
| assocr⋆) | |
| ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₁ (inj₂ (tt , 𝕋 , 𝔽)) ⟧⟫ | |
| ∷ | |
| ⟪ ⇒ ∣ | |
| ((((id↔ ⊗ swap⋆) ⊕ (id↔ ⊗ (swap₊ ⊗ id↔))) ⊚ | |
| factor ⊚ assocl⋆ ⊚ (swap⋆ ⊗ id↔) ⊚ assocr⋆) | |
| ⊕ id↔) | |
| ⊚ | |
| (((id↔ ⊗ ((dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ (swap₊ ⊗ id↔))) | |
| ⊚ | |
| (assocl⋆ ⊚ | |
| ((swap⋆ ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ swap⋆) ⊗ id↔) ⊚ | |
| assocr⋆) | |
| ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₁ (inj₂ (tt , 𝕋 , 𝔽)) ⟧⟫ | |
| ∷ | |
| ⟪ ⇒ ∣ | |
| ((((id↔ ⊗ id↔) ⊕ (id↔ ⊗ (swap₊ ⊗ id↔))) ⊚ | |
| factor ⊚ assocl⋆ ⊚ (swap⋆ ⊗ id↔) ⊚ assocr⋆) | |
| ⊕ id↔) | |
| ⊚ | |
| (((id↔ ⊗ ((dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ (swap₊ ⊗ id↔))) | |
| ⊚ | |
| (assocl⋆ ⊚ | |
| ((swap⋆ ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ swap⋆) ⊗ id↔) ⊚ | |
| assocr⋆) | |
| ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₁ (inj₂ (tt , 𝕋 , 𝔽)) ⟧⟫ | |
| ∷ | |
| ⟪ ⇒ ∣ | |
| (((id↔ ⊕ (id↔ ⊗ (swap₊ ⊗ id↔))) ⊚ | |
| factor ⊚ assocl⋆ ⊚ (swap⋆ ⊗ id↔) ⊚ assocr⋆) | |
| ⊕ id↔) | |
| ⊚ | |
| (((id↔ ⊗ ((dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ (swap₊ ⊗ id↔))) | |
| ⊚ | |
| (assocl⋆ ⊚ | |
| ((swap⋆ ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ swap⋆) ⊗ id↔) ⊚ | |
| assocr⋆) | |
| ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₁ (inj₂ (tt , 𝕋 , 𝔽)) ⟧⟫ | |
| ∷ | |
| ⟪ ⇒ ∣ | |
| (((id↔ ⊕ (id↔ ⊗ (id↔ ⊗ id↔))) ⊚ | |
| factor ⊚ assocl⋆ ⊚ (swap⋆ ⊗ id↔) ⊚ assocr⋆) | |
| ⊕ id↔) | |
| ⊚ | |
| (((id↔ ⊗ ((dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ (swap₊ ⊗ id↔))) | |
| ⊚ | |
| (assocl⋆ ⊚ | |
| ((swap⋆ ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ swap⋆) ⊗ id↔) ⊚ | |
| assocr⋆) | |
| ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₁ (inj₂ (tt , 𝔽 , 𝔽)) ⟧⟫ | |
| ∷ | |
| ⟪ ⇒ ∣ | |
| (((id↔ ⊕ (id↔ ⊗ id↔)) ⊚ factor ⊚ assocl⋆ ⊚ (swap⋆ ⊗ id↔) ⊚ assocr⋆) | |
| ⊕ id↔) | |
| ⊚ | |
| (((id↔ ⊗ ((dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ (swap₊ ⊗ id↔))) | |
| ⊚ | |
| (assocl⋆ ⊚ | |
| ((swap⋆ ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ swap⋆) ⊗ id↔) ⊚ | |
| assocr⋆) | |
| ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₁ (inj₂ (tt , 𝔽 , 𝔽)) ⟧⟫ | |
| ∷ | |
| ⟪ ⇒ ∣ | |
| (((id↔ ⊕ id↔) ⊚ factor ⊚ assocl⋆ ⊚ (swap⋆ ⊗ id↔) ⊚ assocr⋆) ⊕ id↔) | |
| ⊚ | |
| (((id↔ ⊗ ((dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ (swap₊ ⊗ id↔))) | |
| ⊚ | |
| (assocl⋆ ⊚ | |
| ((swap⋆ ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ swap⋆) ⊗ id↔) ⊚ | |
| assocr⋆) | |
| ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₁ (inj₂ (tt , 𝔽 , 𝔽)) ⟧⟫ | |
| ∷ | |
| ⟪ ⇒ ∣ | |
| ((id↔ ⊚ factor ⊚ assocl⋆ ⊚ (swap⋆ ⊗ id↔) ⊚ assocr⋆) ⊕ id↔) ⊚ | |
| (((id↔ ⊗ ((dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ (swap₊ ⊗ id↔))) | |
| ⊚ | |
| (assocl⋆ ⊚ | |
| ((swap⋆ ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ swap⋆) ⊗ id↔) ⊚ | |
| assocr⋆) | |
| ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₁ (inj₂ (tt , 𝔽 , 𝔽)) ⟧⟫ | |
| ∷ | |
| ⟪ ⇒ ∣ | |
| ((factor ⊚ assocl⋆ ⊚ (swap⋆ ⊗ id↔) ⊚ assocr⋆) ⊕ id↔) ⊚ | |
| (((id↔ ⊗ ((dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ (swap₊ ⊗ id↔))) | |
| ⊚ | |
| (assocl⋆ ⊚ | |
| ((swap⋆ ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ swap⋆) ⊗ id↔) ⊚ | |
| assocr⋆) | |
| ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₁ (inj₂ (tt , 𝔽 , 𝔽)) ⟧⟫ | |
| ∷ | |
| ⟪ ⇒ ∣ | |
| ((id↔ ⊚ assocl⋆ ⊚ (swap⋆ ⊗ id↔) ⊚ assocr⋆) ⊕ id↔) ⊚ | |
| (((id↔ ⊗ ((dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ (swap₊ ⊗ id↔))) | |
| ⊚ | |
| (assocl⋆ ⊚ | |
| ((swap⋆ ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ swap⋆) ⊗ id↔) ⊚ | |
| assocr⋆) | |
| ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₁ (𝕋 , 𝔽 , 𝔽) ⟧⟫ | |
| ∷ | |
| ⟪ ⇒ ∣ | |
| ((assocl⋆ ⊚ (swap⋆ ⊗ id↔) ⊚ assocr⋆) ⊕ id↔) ⊚ | |
| (((id↔ ⊗ ((dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ (swap₊ ⊗ id↔))) | |
| ⊚ | |
| (assocl⋆ ⊚ | |
| ((swap⋆ ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ swap⋆) ⊗ id↔) ⊚ | |
| assocr⋆) | |
| ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₁ (𝕋 , 𝔽 , 𝔽) ⟧⟫ | |
| ∷ | |
| ⟪ ⇒ ∣ | |
| ((id↔ ⊚ (swap⋆ ⊗ id↔) ⊚ assocr⋆) ⊕ id↔) ⊚ | |
| (((id↔ ⊗ ((dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ (swap₊ ⊗ id↔))) | |
| ⊚ | |
| (assocl⋆ ⊚ | |
| ((swap⋆ ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ swap⋆) ⊗ id↔) ⊚ | |
| assocr⋆) | |
| ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₁ ((𝕋 , 𝔽) , 𝔽) ⟧⟫ | |
| ∷ | |
| ⟪ ⇒ ∣ | |
| (((swap⋆ ⊗ id↔) ⊚ assocr⋆) ⊕ id↔) ⊚ | |
| (((id↔ ⊗ ((dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ (swap₊ ⊗ id↔))) | |
| ⊚ | |
| (assocl⋆ ⊚ | |
| ((swap⋆ ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ swap⋆) ⊗ id↔) ⊚ | |
| assocr⋆) | |
| ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₁ ((𝕋 , 𝔽) , 𝔽) ⟧⟫ | |
| ∷ | |
| ⟪ ⇒ ∣ | |
| (((id↔ ⊗ id↔) ⊚ assocr⋆) ⊕ id↔) ⊚ | |
| (((id↔ ⊗ ((dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ (swap₊ ⊗ id↔))) | |
| ⊚ | |
| (assocl⋆ ⊚ | |
| ((swap⋆ ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ swap⋆) ⊗ id↔) ⊚ | |
| assocr⋆) | |
| ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₁ ((𝔽 , 𝕋) , 𝔽) ⟧⟫ | |
| ∷ | |
| ⟪ ⇒ ∣ | |
| ((id↔ ⊚ assocr⋆) ⊕ id↔) ⊚ | |
| (((id↔ ⊗ ((dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ (swap₊ ⊗ id↔))) | |
| ⊚ | |
| (assocl⋆ ⊚ | |
| ((swap⋆ ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ swap⋆) ⊗ id↔) ⊚ | |
| assocr⋆) | |
| ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₁ ((𝔽 , 𝕋) , 𝔽) ⟧⟫ | |
| ∷ | |
| ⟪ ⇒ ∣ | |
| (assocr⋆ ⊕ id↔) ⊚ | |
| (((id↔ ⊗ ((dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ (swap₊ ⊗ id↔))) | |
| ⊚ | |
| (assocl⋆ ⊚ | |
| ((swap⋆ ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ swap⋆) ⊗ id↔) ⊚ | |
| assocr⋆) | |
| ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₁ ((𝔽 , 𝕋) , 𝔽) ⟧⟫ | |
| ∷ | |
| ⟪ ⇒ ∣ | |
| (id↔ ⊕ id↔) ⊚ | |
| (((id↔ ⊗ ((dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ (swap₊ ⊗ id↔))) | |
| ⊚ | |
| (assocl⋆ ⊚ | |
| ((swap⋆ ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ swap⋆) ⊗ id↔) ⊚ | |
| assocr⋆) | |
| ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₁ (𝔽 , 𝕋 , 𝔽) ⟧⟫ | |
| ∷ | |
| ⟪ ⇒ ∣ | |
| id↔ ⊚ | |
| (((id↔ ⊗ ((dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ (swap₊ ⊗ id↔))) | |
| ⊚ | |
| (assocl⋆ ⊚ | |
| ((swap⋆ ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ swap⋆) ⊗ id↔) ⊚ | |
| assocr⋆) | |
| ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₁ (𝔽 , 𝕋 , 𝔽) ⟧⟫ | |
| ∷ | |
| ⟪ ⇒ ∣ | |
| (((id↔ ⊗ ((dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ (swap₊ ⊗ id↔))) | |
| ⊚ | |
| (assocl⋆ ⊚ | |
| ((swap⋆ ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ swap⋆) ⊗ id↔) ⊚ | |
| assocr⋆) | |
| ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₁ (𝔽 , 𝕋 , 𝔽) ⟧⟫ | |
| ∷ | |
| ⟪ ⇒ ∣ | |
| (((id↔ ⊗ ((id↔ ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ (swap₊ ⊗ id↔))) | |
| ⊚ | |
| (assocl⋆ ⊚ | |
| ((swap⋆ ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ swap⋆) ⊗ id↔) ⊚ | |
| assocr⋆) | |
| ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₁ (𝔽 , inj₂ (tt , 𝔽)) ⟧⟫ | |
| ∷ | |
| ⟪ ⇒ ∣ | |
| (((id↔ ⊗ (((id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ (swap₊ ⊗ id↔))) ⊚ | |
| (assocl⋆ ⊚ | |
| ((swap⋆ ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ swap⋆) ⊗ id↔) ⊚ | |
| assocr⋆) | |
| ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₁ (𝔽 , inj₂ (tt , 𝔽)) ⟧⟫ | |
| ∷ | |
| ⟪ ⇒ ∣ | |
| (((id↔ ⊗ (((id↔ ⊕ (id↔ ⊗ id↔)) ⊚ factor) ⊚ (swap₊ ⊗ id↔))) ⊚ | |
| (assocl⋆ ⊚ | |
| ((swap⋆ ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ swap⋆) ⊗ id↔) ⊚ | |
| assocr⋆) | |
| ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₁ (𝔽 , inj₂ (tt , 𝕋)) ⟧⟫ | |
| ∷ | |
| ⟪ ⇒ ∣ | |
| (((id↔ ⊗ (((id↔ ⊕ id↔) ⊚ factor) ⊚ (swap₊ ⊗ id↔))) ⊚ | |
| (assocl⋆ ⊚ | |
| ((swap⋆ ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ swap⋆) ⊗ id↔) ⊚ | |
| assocr⋆) | |
| ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₁ (𝔽 , inj₂ (tt , 𝕋)) ⟧⟫ | |
| ∷ | |
| ⟪ ⇒ ∣ | |
| (((id↔ ⊗ ((id↔ ⊚ factor) ⊚ (swap₊ ⊗ id↔))) ⊚ | |
| (assocl⋆ ⊚ | |
| ((swap⋆ ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ swap⋆) ⊗ id↔) ⊚ | |
| assocr⋆) | |
| ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₁ (𝔽 , inj₂ (tt , 𝕋)) ⟧⟫ | |
| ∷ | |
| ⟪ ⇒ ∣ | |
| (((id↔ ⊗ (factor ⊚ (swap₊ ⊗ id↔))) ⊚ | |
| (assocl⋆ ⊚ | |
| ((swap⋆ ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ swap⋆) ⊗ id↔) ⊚ | |
| assocr⋆) | |
| ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₁ (𝔽 , inj₂ (tt , 𝕋)) ⟧⟫ | |
| ∷ | |
| ⟪ ⇒ ∣ | |
| (((id↔ ⊗ (id↔ ⊚ (swap₊ ⊗ id↔))) ⊚ | |
| (assocl⋆ ⊚ | |
| ((swap⋆ ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ swap⋆) ⊗ id↔) ⊚ | |
| assocr⋆) | |
| ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₁ (𝔽 , 𝕋 , 𝕋) ⟧⟫ | |
| ∷ | |
| ⟪ ⇒ ∣ | |
| (((id↔ ⊗ (swap₊ ⊗ id↔)) ⊚ | |
| (assocl⋆ ⊚ | |
| ((swap⋆ ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ swap⋆) ⊗ id↔) ⊚ | |
| assocr⋆) | |
| ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₁ (𝔽 , 𝕋 , 𝕋) ⟧⟫ | |
| ∷ | |
| ⟪ ⇒ ∣ | |
| (((id↔ ⊗ (id↔ ⊗ id↔)) ⊚ | |
| (assocl⋆ ⊚ | |
| ((swap⋆ ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ swap⋆) ⊗ id↔) ⊚ | |
| assocr⋆) | |
| ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₁ (𝔽 , 𝔽 , 𝕋) ⟧⟫ | |
| ∷ | |
| ⟪ ⇒ ∣ | |
| (((id↔ ⊗ id↔) ⊚ | |
| (assocl⋆ ⊚ | |
| ((swap⋆ ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ swap⋆) ⊗ id↔) ⊚ | |
| assocr⋆) | |
| ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₁ (𝔽 , 𝔽 , 𝕋) ⟧⟫ | |
| ∷ | |
| ⟪ ⇒ ∣ | |
| ((id↔ ⊚ | |
| (assocl⋆ ⊚ | |
| ((swap⋆ ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ swap⋆) ⊗ id↔) ⊚ | |
| assocr⋆) | |
| ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₁ (𝔽 , 𝔽 , 𝕋) ⟧⟫ | |
| ∷ | |
| ⟪ ⇒ ∣ | |
| (((assocl⋆ ⊚ | |
| ((swap⋆ ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ swap⋆) ⊗ id↔) ⊚ | |
| assocr⋆) | |
| ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₁ (𝔽 , 𝔽 , 𝕋) ⟧⟫ | |
| ∷ | |
| ⟪ ⇒ ∣ | |
| (((id↔ ⊚ | |
| ((swap⋆ ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ swap⋆) ⊗ id↔) ⊚ | |
| assocr⋆) | |
| ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₁ ((𝔽 , 𝔽) , 𝕋) ⟧⟫ | |
| ∷ | |
| ⟪ ⇒ ∣ | |
| (((((swap⋆ ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ swap⋆) ⊗ | |
| id↔) | |
| ⊚ assocr⋆) | |
| ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₁ ((𝔽 , 𝔽) , 𝕋) ⟧⟫ | |
| ∷ | |
| ⟪ ⇒ ∣ | |
| (((((id↔ ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ swap⋆) ⊗ id↔) | |
| ⊚ assocr⋆) | |
| ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₁ ((𝔽 , 𝔽) , 𝕋) ⟧⟫ | |
| ∷ | |
| ⟪ ⇒ ∣ | |
| ((((((dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ swap⋆) ⊗ id↔) ⊚ | |
| assocr⋆) | |
| ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₁ ((𝔽 , 𝔽) , 𝕋) ⟧⟫ | |
| ∷ | |
| ⟪ ⇒ ∣ | |
| ((((((id↔ ⊚ (id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ swap⋆) ⊗ id↔) ⊚ | |
| assocr⋆) | |
| ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₁ (inj₁ (tt , 𝔽) , 𝕋) ⟧⟫ | |
| ∷ | |
| ⟪ ⇒ ∣ | |
| (((((((id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor) ⊚ swap⋆) ⊗ id↔) ⊚ assocr⋆) ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₁ (inj₁ (tt , 𝔽) , 𝕋) ⟧⟫ | |
| ∷ | |
| ⟪ ⇒ ∣ | |
| (((((((id↔ ⊕ (id↔ ⊗ id↔)) ⊚ factor) ⊚ swap⋆) ⊗ id↔) ⊚ assocr⋆) ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₁ (inj₁ (tt , 𝔽) , 𝕋) ⟧⟫ | |
| ∷ | |
| ⟪ ⇒ ∣ | |
| (((((((id↔ ⊕ id↔) ⊚ factor) ⊚ swap⋆) ⊗ id↔) ⊚ assocr⋆) ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₁ (inj₁ (tt , 𝔽) , 𝕋) ⟧⟫ | |
| ∷ | |
| ⟪ ⇒ ∣ | |
| ((((((id↔ ⊚ factor) ⊚ swap⋆) ⊗ id↔) ⊚ assocr⋆) ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₁ (inj₁ (tt , 𝔽) , 𝕋) ⟧⟫ | |
| ∷ | |
| ⟪ ⇒ ∣ | |
| (((((factor ⊚ swap⋆) ⊗ id↔) ⊚ assocr⋆) ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₁ (inj₁ (tt , 𝔽) , 𝕋) ⟧⟫ | |
| ∷ | |
| ⟪ ⇒ ∣ | |
| (((((id↔ ⊚ swap⋆) ⊗ id↔) ⊚ assocr⋆) ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₁ ((𝔽 , 𝔽) , 𝕋) ⟧⟫ | |
| ∷ | |
| ⟪ ⇒ ∣ | |
| ((((swap⋆ ⊗ id↔) ⊚ assocr⋆) ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₁ ((𝔽 , 𝔽) , 𝕋) ⟧⟫ | |
| ∷ | |
| ⟪ ⇒ ∣ | |
| ((((id↔ ⊗ id↔) ⊚ assocr⋆) ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₁ ((𝔽 , 𝔽) , 𝕋) ⟧⟫ | |
| ∷ | |
| ⟪ ⇒ ∣ | |
| (((id↔ ⊚ assocr⋆) ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₁ ((𝔽 , 𝔽) , 𝕋) ⟧⟫ | |
| ∷ | |
| ⟪ ⇒ ∣ | |
| ((assocr⋆ ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₁ ((𝔽 , 𝔽) , 𝕋) ⟧⟫ | |
| ∷ | |
| ⟪ ⇒ ∣ | |
| ((id↔ ⊚ | |
| (id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor))) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₁ (𝔽 , 𝔽 , 𝕋) ⟧⟫ | |
| ∷ | |
| ⟪ ⇒ ∣ | |
| ((id↔ ⊗ ((swap₊ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor)) | |
| ⊕ id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₁ (𝔽 , 𝔽 , 𝕋) ⟧⟫ | |
| ∷ | |
| ⟪ ⇒ ∣ | |
| ((id↔ ⊗ ((id↔ ⊗ id↔) ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor)) ⊕ | |
| id↔) | |
| ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₁ (𝔽 , 𝕋 , 𝕋) ⟧⟫ | |
| ∷ | |
| ⟪ ⇒ ∣ | |
| ((id↔ ⊗ (id↔ ⊚ (dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor)) ⊕ id↔) ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₁ (𝔽 , 𝕋 , 𝕋) ⟧⟫ | |
| ∷ | |
| ⟪ ⇒ ∣ | |
| ((id↔ ⊗ ((dist ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor)) ⊕ id↔) ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₁ (𝔽 , 𝕋 , 𝕋) ⟧⟫ | |
| ∷ | |
| ⟪ ⇒ ∣ | |
| ((id↔ ⊗ ((id↔ ⊚ (id↔ ⊕ (id↔ ⊗ swap₊))) ⊚ factor)) ⊕ id↔) ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₁ (𝔽 , inj₂ (tt , 𝕋)) ⟧⟫ | |
| ∷ | |
| ⟪ ⇒ ∣ | |
| ((id↔ ⊗ ((id↔ ⊕ (id↔ ⊗ swap₊)) ⊚ factor)) ⊕ id↔) ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₁ (𝔽 , inj₂ (tt , 𝕋)) ⟧⟫ | |
| ∷ | |
| ⟪ ⇒ ∣ | |
| ((id↔ ⊗ ((id↔ ⊕ (id↔ ⊗ id↔)) ⊚ factor)) ⊕ id↔) ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₁ (𝔽 , inj₂ (tt , 𝔽)) ⟧⟫ | |
| ∷ | |
| ⟪ ⇒ ∣ | |
| ((id↔ ⊗ ((id↔ ⊕ id↔) ⊚ factor)) ⊕ id↔) ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₁ (𝔽 , inj₂ (tt , 𝔽)) ⟧⟫ | |
| ∷ | |
| ⟪ ⇒ ∣ | |
| ((id↔ ⊗ (id↔ ⊚ factor)) ⊕ id↔) ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₁ (𝔽 , inj₂ (tt , 𝔽)) ⟧⟫ | |
| ∷ | |
| ⟪ ⇒ ∣ | |
| ((id↔ ⊗ factor) ⊕ id↔) ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₁ (𝔽 , inj₂ (tt , 𝔽)) ⟧⟫ | |
| ∷ | |
| ⟪ ⇒ ∣ | |
| ((id↔ ⊗ id↔) ⊕ id↔) ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₁ (𝔽 , 𝕋 , 𝔽) ⟧⟫ | |
| ∷ | |
| ⟪ ⇒ ∣ | |
| (id↔ ⊕ id↔) ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₁ (𝔽 , 𝕋 , 𝔽) ⟧⟫ | |
| ∷ | |
| ⟪ ⇒ ∣ | |
| id↔ ⊚ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₁ (𝔽 , 𝕋 , 𝔽) ⟧⟫ | |
| ∷ | |
| ⟪ ⇒ ∣ | |
| (dist ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₁ (𝔽 , 𝕋 , 𝔽) ⟧⟫ | |
| ∷ | |
| ⟪ ⇒ ∣ | |
| (id↔ ⊕ id↔) ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₁ (inj₁ (tt , 𝕋 , 𝔽)) ⟧⟫ | |
| ∷ | |
| ⟪ ⇒ ∣ | |
| id↔ ⊚ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₁ (inj₁ (tt , 𝕋 , 𝔽)) ⟧⟫ | |
| ∷ | |
| ⟪ ⇒ ∣ | |
| (assocr₊ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₁ (inj₁ (tt , 𝕋 , 𝔽)) ⟧⟫ | |
| ∷ | |
| ⟪ ⇒ ∣ | |
| (id↔ ⊚ (id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₁ (tt , 𝕋 , 𝔽) ⟧⟫ | |
| ∷ | |
| ⟪ ⇒ ∣ | |
| ((id↔ ⊕ (assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₁ (tt , 𝕋 , 𝔽) ⟧⟫ | |
| ∷ | |
| ⟪ ⇒ ∣ | |
| ((id↔ ⊕ (id↔ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₁ (tt , 𝕋 , 𝔽) ⟧⟫ | |
| ∷ | |
| ⟪ ⇒ ∣ | |
| ((id↔ ⊕ ((swap₊ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₁ (tt , 𝕋 , 𝔽) ⟧⟫ | |
| ∷ | |
| ⟪ ⇒ ∣ | |
| ((id↔ ⊕ ((id↔ ⊕ id↔) ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₁ (tt , 𝕋 , 𝔽) ⟧⟫ | |
| ∷ | |
| ⟪ ⇒ ∣ | |
| ((id↔ ⊕ (id↔ ⊚ assocr₊)) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₁ (tt , 𝕋 , 𝔽) ⟧⟫ | |
| ∷ | |
| ⟪ ⇒ ∣ | |
| ((id↔ ⊕ assocr₊) ⊚ assocl₊) ⊚ | |
| (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor | |
| ⟦ inj₁ (tt , 𝕋 , 𝔽) ⟧⟫ | |
| ∷ | |
| ⟪ ⇒ ∣ | |
| ((id↔ ⊕ id↔) ⊚ assocl₊) ⊚ (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor ⟦ | |
| inj₁ (tt , 𝕋 , 𝔽) ⟧⟫ | |
| ∷ | |
| ⟪ ⇒ ∣ (id↔ ⊚ assocl₊) ⊚ (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor ⟦ | |
| inj₁ (tt , 𝕋 , 𝔽) ⟧⟫ | |
| ∷ | |
| ⟪ ⇒ ∣ assocl₊ ⊚ (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor ⟦ | |
| inj₁ (tt , 𝕋 , 𝔽) ⟧⟫ | |
| ∷ | |
| ⟪ ⇒ ∣ id↔ ⊚ (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor ⟦ | |
| inj₁ (inj₁ (tt , 𝕋 , 𝔽)) ⟧⟫ | |
| ∷ | |
| ⟪ ⇒ ∣ (id↔ ⊕ ε) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor ⟦ | |
| inj₁ (inj₁ (tt , 𝕋 , 𝔽)) ⟧⟫ | |
| ∷ | |
| ⟪ ⇒ ∣ (id↔ ⊕ id↔) ⊚ (swap₊ ⊚ unite₊l) ⊚ factor ⟦ | |
| inj₁ (inj₁ (tt , 𝕋 , 𝔽)) ⟧⟫ | |
| ∷ | |
| ⟪ ⇒ ∣ id↔ ⊚ (swap₊ ⊚ unite₊l) ⊚ factor ⟦ inj₁ (inj₁ (tt , 𝕋 , 𝔽)) | |
| ⟧⟫ | |
| ∷ | |
| ⟪ ⇒ ∣ (swap₊ ⊚ unite₊l) ⊚ factor ⟦ inj₁ (inj₁ (tt , 𝕋 , 𝔽)) ⟧⟫ ∷ | |
| ⟪ ⇒ ∣ (id↔ ⊚ unite₊l) ⊚ factor ⟦ inj₂ (inj₁ (tt , 𝕋 , 𝔽)) ⟧⟫ ∷ | |
| ⟪ ⇒ ∣ unite₊l ⊚ factor ⟦ inj₂ (inj₁ (tt , 𝕋 , 𝔽)) ⟧⟫ ∷ | |
| ⟪ ⇒ ∣ id↔ ⊚ factor ⟦ inj₁ (tt , 𝕋 , 𝔽) ⟧⟫ ∷ | |
| ⟪ ⇒ ∣ factor ⟦ inj₁ (tt , 𝕋 , 𝔽) ⟧⟫ ∷ ⟪ ⇒ ∣ id↔ ⟦ 𝔽 , 𝕋 , 𝔽 ⟧⟫ ∷ [] |
Sign up for free
to join this conversation on GitHub.
Already have an account?
Sign in to comment