Created
May 19, 2020 17:35
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⟪ ⇒ ∣ | |
(uniti₊l ⊚ swap₊) ⊚ | |
(id↔ ⊕ η) ⊚ | |
(assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊) ⊚ (id↔ ⊕ ε) ⊚ swap₊ ⊚ unite₊l | |
⟦ 𝔽 ⟧⟫ | |
∷ | |
⟪ ⇒ ∣ | |
(id↔ ⊚ swap₊) ⊚ | |
(id↔ ⊕ η) ⊚ | |
(assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊) ⊚ (id↔ ⊕ ε) ⊚ swap₊ ⊚ unite₊l | |
⟦ inj₂ 𝔽 ⟧⟫ | |
∷ | |
⟪ ⇒ ∣ | |
swap₊ ⊚ | |
(id↔ ⊕ η) ⊚ | |
(assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊) ⊚ (id↔ ⊕ ε) ⊚ swap₊ ⊚ unite₊l | |
⟦ inj₂ 𝔽 ⟧⟫ | |
∷ | |
⟪ ⇒ ∣ | |
id↔ ⊚ | |
(id↔ ⊕ η) ⊚ | |
(assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊) ⊚ (id↔ ⊕ ε) ⊚ swap₊ ⊚ unite₊l | |
⟦ inj₁ 𝔽 ⟧⟫ | |
∷ | |
⟪ ⇒ ∣ | |
(id↔ ⊕ η) ⊚ | |
(assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊) ⊚ (id↔ ⊕ ε) ⊚ swap₊ ⊚ unite₊l | |
⟦ inj₁ 𝔽 ⟧⟫ | |
∷ | |
⟪ ⇒ ∣ | |
(id↔ ⊕ id↔) ⊚ | |
(assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊) ⊚ (id↔ ⊕ ε) ⊚ swap₊ ⊚ unite₊l | |
⟦ inj₁ 𝔽 ⟧⟫ | |
∷ | |
⟪ ⇒ ∣ | |
id↔ ⊚ | |
(assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊) ⊚ (id↔ ⊕ ε) ⊚ swap₊ ⊚ unite₊l | |
⟦ inj₁ 𝔽 ⟧⟫ | |
∷ | |
⟪ ⇒ ∣ | |
(assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊) ⊚ (id↔ ⊕ ε) ⊚ swap₊ ⊚ unite₊l ⟦ | |
inj₁ 𝔽 ⟧⟫ | |
∷ | |
⟪ ⇒ ∣ (id↔ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊) ⊚ (id↔ ⊕ ε) ⊚ swap₊ ⊚ unite₊l | |
⟦ inj₁ (inj₁ 𝔽) ⟧⟫ | |
∷ | |
⟪ ⇒ ∣ ((swap₊ ⊕ id↔) ⊚ assocr₊) ⊚ (id↔ ⊕ ε) ⊚ swap₊ ⊚ unite₊l ⟦ | |
inj₁ (inj₁ 𝔽) ⟧⟫ | |
∷ | |
⟪ ⇒ ∣ ((id↔ ⊕ id↔) ⊚ assocr₊) ⊚ (id↔ ⊕ ε) ⊚ swap₊ ⊚ unite₊l ⟦ | |
inj₁ (inj₂ 𝔽) ⟧⟫ | |
∷ | |
⟪ ⇒ ∣ (id↔ ⊚ assocr₊) ⊚ (id↔ ⊕ ε) ⊚ swap₊ ⊚ unite₊l ⟦ inj₁ (inj₂ 𝔽) | |
⟧⟫ | |
∷ | |
⟪ ⇒ ∣ assocr₊ ⊚ (id↔ ⊕ ε) ⊚ swap₊ ⊚ unite₊l ⟦ inj₁ (inj₂ 𝔽) ⟧⟫ ∷ | |
⟪ ⇒ ∣ id↔ ⊚ (id↔ ⊕ ε) ⊚ swap₊ ⊚ unite₊l ⟦ inj₂ (inj₁ 𝔽) ⟧⟫ ∷ | |
⟪ ⇒ ∣ (id↔ ⊕ ε) ⊚ swap₊ ⊚ unite₊l ⟦ inj₂ (inj₁ 𝔽) ⟧⟫ ∷ | |
⟪ ⇐ ∣ (id↔ ⊕ ε) ⊚ swap₊ ⊚ unite₊l ⟦ inj₂ (inj₂ (- 𝔽)) ⟧⟫ ∷ | |
⟪ ⇐ ∣ id↔ ⊚ (id↔ ⊕ ε) ⊚ swap₊ ⊚ unite₊l ⟦ inj₂ (inj₂ (- 𝔽)) ⟧⟫ ∷ | |
⟪ ⇐ ∣ assocr₊ ⊚ (id↔ ⊕ ε) ⊚ swap₊ ⊚ unite₊l ⟦ inj₂ (- 𝔽) ⟧⟫ ∷ | |
⟪ ⇐ ∣ (id↔ ⊚ assocr₊) ⊚ (id↔ ⊕ ε) ⊚ swap₊ ⊚ unite₊l ⟦ inj₂ (- 𝔽) ⟧⟫ | |
∷ | |
⟪ ⇐ ∣ ((id↔ ⊕ id↔) ⊚ assocr₊) ⊚ (id↔ ⊕ ε) ⊚ swap₊ ⊚ unite₊l ⟦ | |
inj₂ (- 𝔽) ⟧⟫ | |
∷ | |
⟪ ⇐ ∣ ((swap₊ ⊕ id↔) ⊚ assocr₊) ⊚ (id↔ ⊕ ε) ⊚ swap₊ ⊚ unite₊l ⟦ | |
inj₂ (- 𝔽) ⟧⟫ | |
∷ | |
⟪ ⇐ ∣ (id↔ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊) ⊚ (id↔ ⊕ ε) ⊚ swap₊ ⊚ unite₊l | |
⟦ inj₂ (- 𝔽) ⟧⟫ | |
∷ | |
⟪ ⇐ ∣ | |
(assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊) ⊚ (id↔ ⊕ ε) ⊚ swap₊ ⊚ unite₊l ⟦ | |
inj₂ (inj₂ (- 𝔽)) ⟧⟫ | |
∷ | |
⟪ ⇐ ∣ | |
id↔ ⊚ | |
(assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊) ⊚ (id↔ ⊕ ε) ⊚ swap₊ ⊚ unite₊l | |
⟦ inj₂ (inj₂ (- 𝔽)) ⟧⟫ | |
∷ | |
⟪ ⇐ ∣ | |
(id↔ ⊕ id↔) ⊚ | |
(assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊) ⊚ (id↔ ⊕ ε) ⊚ swap₊ ⊚ unite₊l | |
⟦ inj₂ (inj₂ (- 𝔽)) ⟧⟫ | |
∷ | |
⟪ ⇒ ∣ | |
(id↔ ⊕ id↔) ⊚ | |
(assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊) ⊚ (id↔ ⊕ ε) ⊚ swap₊ ⊚ unite₊l | |
⟦ inj₂ (inj₁ 𝔽) ⟧⟫ | |
∷ | |
⟪ ⇒ ∣ | |
id↔ ⊚ | |
(assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊) ⊚ (id↔ ⊕ ε) ⊚ swap₊ ⊚ unite₊l | |
⟦ inj₂ (inj₁ 𝔽) ⟧⟫ | |
∷ | |
⟪ ⇒ ∣ | |
(assocl₊ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊) ⊚ (id↔ ⊕ ε) ⊚ swap₊ ⊚ unite₊l ⟦ | |
inj₂ (inj₁ 𝔽) ⟧⟫ | |
∷ | |
⟪ ⇒ ∣ (id↔ ⊚ (swap₊ ⊕ id↔) ⊚ assocr₊) ⊚ (id↔ ⊕ ε) ⊚ swap₊ ⊚ unite₊l | |
⟦ inj₁ (inj₂ 𝔽) ⟧⟫ | |
∷ | |
⟪ ⇒ ∣ ((swap₊ ⊕ id↔) ⊚ assocr₊) ⊚ (id↔ ⊕ ε) ⊚ swap₊ ⊚ unite₊l ⟦ | |
inj₁ (inj₂ 𝔽) ⟧⟫ | |
∷ | |
⟪ ⇒ ∣ ((id↔ ⊕ id↔) ⊚ assocr₊) ⊚ (id↔ ⊕ ε) ⊚ swap₊ ⊚ unite₊l ⟦ | |
inj₁ (inj₁ 𝔽) ⟧⟫ | |
∷ | |
⟪ ⇒ ∣ (id↔ ⊚ assocr₊) ⊚ (id↔ ⊕ ε) ⊚ swap₊ ⊚ unite₊l ⟦ inj₁ (inj₁ 𝔽) | |
⟧⟫ | |
∷ | |
⟪ ⇒ ∣ assocr₊ ⊚ (id↔ ⊕ ε) ⊚ swap₊ ⊚ unite₊l ⟦ inj₁ (inj₁ 𝔽) ⟧⟫ ∷ | |
⟪ ⇒ ∣ id↔ ⊚ (id↔ ⊕ ε) ⊚ swap₊ ⊚ unite₊l ⟦ inj₁ 𝔽 ⟧⟫ ∷ | |
⟪ ⇒ ∣ (id↔ ⊕ ε) ⊚ swap₊ ⊚ unite₊l ⟦ inj₁ 𝔽 ⟧⟫ ∷ | |
⟪ ⇒ ∣ (id↔ ⊕ id↔) ⊚ swap₊ ⊚ unite₊l ⟦ inj₁ 𝔽 ⟧⟫ ∷ | |
⟪ ⇒ ∣ id↔ ⊚ swap₊ ⊚ unite₊l ⟦ inj₁ 𝔽 ⟧⟫ ∷ | |
⟪ ⇒ ∣ swap₊ ⊚ unite₊l ⟦ inj₁ 𝔽 ⟧⟫ ∷ | |
⟪ ⇒ ∣ id↔ ⊚ unite₊l ⟦ inj₂ 𝔽 ⟧⟫ ∷ | |
⟪ ⇒ ∣ unite₊l ⟦ inj₂ 𝔽 ⟧⟫ ∷ ⟪ ⇒ ∣ id↔ ⟦ 𝔽 ⟧⟫ ∷ [] |
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