返回 NPA
声明
FirstIsoQuotientMulInvEvidence
Mathlib.Algebra.Group.FirstIsomorphism.Image
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), Prop证明项
inductive FirstIsoQuotientMulInvEvidence.{u,v} : 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), Prop where | mk : 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 (law : forall (q : @KerQuot.{u,v} G H f), @Eq.{succ u} (@KerQuot.{u,v} G H f) (@KerQuotMul.{u,v} G oneG mulG invG H oneH mulH invH f hom_args q (@KerQuotInv.{u,v} G oneG mulG invG H oneH mulH invH f hom_args q)) (@KerQuotOne.{u,v} G oneG H f)), @FirstIsoQuotientMulInvEvidence.{u,v} G oneG mulG invG H oneH mulH invH f hom_args