12 lines
455 B
Agda
12 lines
455 B
Agda
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module Equivalence where
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open import Data.Product using (_×_; Σ; _,_; proj₁; proj₂)
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open import Relation.Binary.Definitions
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open import Relation.Binary.PropositionalEquality as Eq using (_≡_; sym)
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record IsEquivalence {a} (A : Set a) (_≈_ : A → A → Set a) : Set a where
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field
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≈-refl : {a : A} → a ≈ a
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≈-sym : {a b : A} → a ≈ b → b ≈ a
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≈-trans : {a b c : A} → a ≈ b → b ≈ c → a ≈ c
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