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https://github.com/Smaug123/agdaproofs
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19 lines
679 B
Agda
19 lines
679 B
Agda
{-# OPTIONS --safe --warning=error --without-K #-}
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open import LogicalFormulae
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open import Setoids.Setoids
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open import Functions
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open import Agda.Primitive using (Level; lzero; lsuc; _⊔_)
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open import Numbers.Naturals.Naturals
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open import Sets.FinSet
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open import Groups.Definition
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open import Sets.EquivalenceRelations
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open import Groups.Homomorphisms.Definition
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open import Groups.Lemmas
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module Groups.Homomorphisms.Examples where
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identityHom : {a b : _} {A : Set a} {S : Setoid {a} {b} A} {_+A_ : A → A → A} (G : Group S _+A_) → GroupHom G G id
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GroupHom.groupHom (identityHom {S = S} G) = Equivalence.reflexive (Setoid.eq S)
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GroupHom.wellDefined (identityHom G) = id
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