Created
August 13, 2023 14:30
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| canonical-elements⇒type-like : is-set Carrier → canonical-elements → type-like c | |
| canonical-elements⇒type-like set | |
| record { canon = canon | |
| ; canon-≈ = canon-≈ | |
| ; canon-≡ = canon-≡ } | |
| = | |
| record { type-like-to = Σ _ λ a → canon a ≡ a | |
| ; type-like-≅ = record { iso = record { _⟨$⟩_ = λ a → canon a , canon-≡ _ _ (canon-≈ a) | |
| ; cong = λ s → Σ-≡ (canon-≡ _ _ s) set } | |
| ; inv = record { _⟨$⟩_ = fst | |
| ; cong = λ s → Setoid.reflexive A (≡-cong fst s) } | |
| ; iso-inv = λ y → Σ-≡ (snd y) set | |
| ; inv-iso = canon-≈ } } |
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