mirror of
https://github.com/Smaug123/agdaproofs
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28 lines
941 B
Agda
28 lines
941 B
Agda
{-# OPTIONS --safe --warning=error --without-K #-}
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open import LogicalFormulae
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open import Groups.Groups
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open import Groups.Homomorphisms.Definition
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open import Groups.Definition
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open import Numbers.Naturals.Naturals
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open import Setoids.Orders
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open import Setoids.Setoids
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open import Functions
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open import Sets.EquivalenceRelations
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open import Rings.Definition
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open import Rings.Homomorphisms.Definition
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open import Agda.Primitive using (Level; lzero; lsuc; _⊔_)
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module Rings.Isomorphisms.Definition {a b c d : _} {A : Set a} {S : Setoid {a} {b} A} {_+1_ _*1_ : A → A → A} (R1 : Ring S _+1_ _*1_) {B : Set c} {T : Setoid {c} {d} B} {_+2_ _*2_ : B → B → B} (R2 : Ring T _+2_ _*2_) where
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record RingIso (f : A → B) : Set (a ⊔ b ⊔ c ⊔ d) where
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field
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ringHom : RingHom R1 R2 f
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bijective : SetoidBijection S T f
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record RingsIsomorphic : Set (a ⊔ b ⊔ c ⊔ d) where
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field
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f : A → B
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iso : RingIso f
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