声明
third_iso_hn_intro
Mathlib.Algebra.Group.ThirdIsomorphism
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 (Hpred : forall (x : G), Prop), forall (group_args : @GroupLawArgs.{succ u} G one mul inv), forall (n_normal : @NormalSubgroupLawArgs.{succ u} G one mul inv N), forall (q : @NormalQuot.{u} G one mul inv N group_args n_normal), forall (h : G), forall (hh : Hpred h), forall (eq_q : @Eq.{succ u} (@NormalQuot.{u} G one mul inv N group_args n_normal) (@NormalQuotMk.{u} G one mul inv N group_args n_normal h) q), @ThirdIsoHNPred.{u} G one mul inv N Hpred group_args n_normal q
证明项
fun G => fun one => fun mul => fun inv => fun N => fun Hpred => fun group_args => fun n_normal => fun q => fun h => fun hh => fun eq_q => fun (P : Prop) => fun (mk : forall (h2 : G), forall (hh2 : Hpred h2), forall (eq_q2 : @Eq.{succ u} (@NormalQuot.{u} G one mul inv N group_args n_normal) (@NormalQuotMk.{u} G one mul inv N group_args n_normal h2) q), P) => mk h hh eq_q
常量
Mathlib.Algebra.Group.Basic.GroupLawArgs
Interface hash: sha256:2d87332e5e2af4c4567f00f441f3a30fa8780563655728bc695cf467701fd8db
Mathlib.Algebra.Group.Quotient.NormalQuot
Interface hash: sha256:ac0d31805001e1ea1fe46e644b7187eb3e256364063df8dec29e9007eb5b31e4
Mathlib.Algebra.Group.Quotient.NormalQuotMk
Interface hash: sha256:4a730a1db38d5b5362787ead7697f2eff1ea187c9a89ef87923ebc0d611bfd41
Mathlib.Algebra.Group.Subgroup.NormalSubgroupLawArgs
Interface hash: sha256:808ae35e6b38f18f2fa58c14eebebbc2e93b11d1887b258bff2cea4daf9d9fb8
Mathlib.Algebra.Group.ThirdIsomorphism.ThirdIsoHNPred
Interface hash: sha256:d4724b690f4e929f791d6802240197184865343339581435b8e61004fd172159
Std.Logic.Eq.Eq
Interface hash: sha256:ca4f8520fd678a809c3ebf0bc7fa38d3063ca4d231e79d567de888685449a015