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声明
image_one
Mathlib.Algebra.Group.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 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), forall (hom_args : @GroupHomLawArgs.{u,v} G oneG mulG invG H oneH mulH invH f), @ImagePred.{u,v} G H f oneH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 (P : Prop) => fun (mk : forall (a : G), forall (h : @Eq.{v} H (f a) oneH), P) => mk oneG (@hom_one.{u,v} G oneG mulG invG H oneH mulH invH f hom_args)