声明
second_iso_phi_mul
Mathlib.Algebra.Group.SecondIsomorphism.Map
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 (one : G), forall (mul : forall (a : G), forall (b : G), G), forall (inv : forall (a : G), G), forall (N : forall (x : G), Prop), forall (group_args : @GroupLawArgs.{succ u} G one mul inv), forall (normal_args : @NormalSubgroupLawArgs.{succ u} G one mul inv N), forall (Hpred : forall (x : G), Prop), forall (h_args : @SubgroupLawArgs.{succ u} G one mul inv Hpred), forall (a : G), forall (b : G), forall (ha : Hpred a), forall (hb : Hpred b), @Eq.{succ u} (@NormalQuot.{u} G one mul inv N group_args normal_args) (@NormalQuotMul.{u} G one mul inv N group_args normal_args (@SecondIsoPhi.{u} G one mul inv N group_args normal_args Hpred a ha) (@SecondIsoPhi.{u} G one mul inv N group_args normal_args Hpred b hb)) (@SecondIsoPhi.{u} G one mul inv N group_args normal_args Hpred (mul a b) (@subgroup_mul_closed.{succ u} G one mul inv Hpred h_args a b ha hb))
证明项
fun G => fun one => fun mul => fun inv => fun N => fun group_args => fun normal_args => fun Hpred => fun h_args => fun a => fun b => fun ha => fun hb => @Eq.refl.{succ u} (@NormalQuot.{u} G one mul inv N group_args normal_args) (@NormalQuotMk.{u} G one mul inv N group_args normal_args (mul a b))
常量
Mathlib.Algebra.Group.Basic.GroupLawArgs
Interface hash: sha256:2d87332e5e2af4c4567f00f441f3a30fa8780563655728bc695cf467701fd8db
Mathlib.Algebra.Group.Quotient.NormalQuot
Interface hash: sha256:ac0d31805001e1ea1fe46e644b7187eb3e256364063df8dec29e9007eb5b31e4
Mathlib.Algebra.Group.Quotient.Group.NormalQuotMul
Interface hash: sha256:95284af9f36887cea051b9a93b81e820a0a72e0051f49a837fe897a74c13ee7f
Mathlib.Algebra.Group.SecondIsomorphism.Map.SecondIsoPhi
Interface hash: sha256:11191a2774229a7c804a8ee3feb1f034a6638450f99aa4698bf9ae564bc3eea9
Mathlib.Algebra.Group.Subgroup.NormalSubgroupLawArgs
Interface hash: sha256:808ae35e6b38f18f2fa58c14eebebbc2e93b11d1887b258bff2cea4daf9d9fb8
Mathlib.Algebra.Group.Subgroup.SubgroupLawArgs
Interface hash: sha256:ab8653cb757048257bdb25d2e3319a7cc9476c36a6a5c1e17a97e8bdc2962a8c
Mathlib.Algebra.Group.Subgroup.subgroup_mul_closed
Interface hash: sha256:d1aeb37c9b746adae67b74c8c29b7becbcd4f3db639c992a60241ef19d43624f
Std.Logic.Eq.Eq
Interface hash: sha256:ca4f8520fd678a809c3ebf0bc7fa38d3063ca4d231e79d567de888685449a015