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声明

ker_quot_mul_mk

Mathlib.Algebra.Group.Kernel.Quotient.Group

2

模块

63

定理

750

声明

1016

非可信 sidecar

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陈述

forall (G : Sort succ u), forall (oneG : G), forall (mulG : forall (a : G), forall (b : G), G), forall (invG : forall (a : G), G), forall (H : Sort succ 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), forall (hom_args : @GroupHomLawArgs.{succ u,succ v} G oneG mulG invG H oneH mulH invH f), forall (a : G), forall (b : G), @Eq.{succ u} (@KerQuot.{u,v} G H f) (@KerQuotMul.{u,v} G oneG mulG invG H oneH mulH invH f hom_args (@KerQuotMk.{u,v} G H f a) (@KerQuotMk.{u,v} G H f b)) (@KerQuotMk.{u,v} G H f (mulG a b))

证明项

fun G => fun oneG => fun mulG => fun invG => fun H => fun oneH => fun mulH => fun invH => fun f => fun hom_args => fun a => fun b => @Eq.refl.{succ u} (@KerQuot.{u,v} G H f) (@KerQuotMk.{u,v} G H f (mulG a b))

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