声明
ker_quot_mul_mk
Mathlib.Algebra.Group.Kernel.Quotient.Group
包
2
模块
63
定理
750
声明
1016
非可信 sidecar
源文本和展示 overlay 属于展示元数据。可信证据是签名证书和 checker 结果。
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))
常量
Mathlib.Algebra.Group.Basic.GroupHomLawArgs
Interface hash: sha256:2991d80d7b6ba372e78a2481565ce13cd1438fdfe94ebda3febafcb8b0123ac2
Mathlib.Algebra.Group.Kernel.Quotient.KerQuot
Interface hash: sha256:860face55dbec0818c0d0aed68c1fe0e65dd7de77271f509ba95949348c0b9f4
Mathlib.Algebra.Group.Kernel.Quotient.KerQuotMk
Interface hash: sha256:cfd6d6eb23d69447f314fe61ac82546f06ebea9e29f9141aca0ae7f6c6f22e43
Mathlib.Algebra.Group.Kernel.Quotient.Group.KerQuotMul
Interface hash: sha256:7b8ac2149d20d1c059a8b939e8702d2e70720e6a3b8962f81a0c1d0a564403a8
Std.Logic.Eq.Eq
Interface hash: sha256:ca4f8520fd678a809c3ebf0bc7fa38d3063ca4d231e79d567de888685449a015