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声明

correspondence_containment_evidence

Mathlib.Algebra.Group.Correspondence

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 (n_normal : @NormalSubgroupLawArgs.{succ u} G one mul inv N), forall (K : forall (q : @NormalQuot.{u} G one mul inv N group_args n_normal), Prop), forall (k_args : @SubgroupLawArgs.{succ u} (@NormalQuot.{u} G one mul inv N group_args n_normal) (@NormalQuotOne.{u} G one mul inv N group_args n_normal) (@NormalQuotMul.{u} G one mul inv N group_args n_normal) (@NormalQuotInv.{u} G one mul inv N group_args n_normal) K), @CorrespondenceContainmentEvidence.{u} G one mul inv N group_args n_normal K k_args

证明项

fun G => fun one => fun mul => fun inv => fun N => fun group_args => fun n_normal => fun K => fun k_args => @CorrespondenceContainmentEvidence.mk.{u} G one mul inv N group_args n_normal K k_args (@correspondence_preimage_contains_normal.{u} G one mul inv N group_args n_normal K k_args)

常量