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https://github.com/Smaug123/agdaproofs
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19 lines
758 B
Agda
19 lines
758 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 Groups.Homomorphisms.Definition
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module Groups.Subgroups.Definition where
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record Subgroup {a} {b} {c} {d} {A : Set a} {B : Set c} {S : Setoid {a} {b} A} {T : Setoid {c} {d} B} {_·A_ : A → A → A} {_·B_ : B → B → B} (G : Group S _·A_) (H : Group T _·B_) {f : B → A} (hom : GroupHom H G f) : Set (a ⊔ b ⊔ c ⊔ d) where
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open Setoid T renaming (_∼_ to _∼G_)
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open Setoid S renaming (_∼_ to _∼H_)
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field
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fInj : SetoidInjection T S f
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