GroupHomLawArgs

Mathlib.Algebra.Group.Basic

Packages

Module

Theorem

750

Declarations

1016

信頼境界外の sidecar

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Statement

forall (G : Sort u), forall (oneG : G), forall (mulG : forall (a : G), forall (b : G), G), forall (invG : forall (a : G), G), forall (H : Sort v), forall (oneH : H), forall (mulH : forall (a : H), forall (b : H), H), forall (invH : forall (a : H), H), forall (f : forall (x : G), H), Prop

Proof term

fun G => fun oneG => fun mulG => fun invG => fun H => fun oneH => fun mulH => fun invH => fun f => forall (P : Prop), forall (mk : forall (hom_mul_law : forall (a : G), forall (b : G), @Eq.{v} H (f (mulG a b)) (mulH (f a) (f b))), forall (hom_one_law : @Eq.{v} H (f oneG) oneH), forall (hom_inv_law : forall (a : G), @Eq.{v} H (f (invG a)) (invH (f a))), P), P