CorrespondenceImageSubgroupEvidence

Mathlib.Algebra.Group.Correspondence

Packages

Module

Theorem

750

Declarations

1016

信頼境界外の sidecar

Source text や表示 overlay は提示用メタデータです。信頼する証拠は署名済み証明書と checker の結果です。

Statement

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), Prop

Proof term

inductive CorrespondenceImageSubgroupEvidence.{u} : 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), Prop where | mk : 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 (image_one : @CorrespondenceImagePred.{u} G one mul inv N Hpred group_args n_normal (@NormalQuotOne.{u} G one mul inv N group_args n_normal)), forall (image_mul_closed : forall (a : @NormalQuot.{u} G one mul inv N group_args n_normal), forall (b : @NormalQuot.{u} G one mul inv N group_args n_normal), forall (ha : @CorrespondenceImagePred.{u} G one mul inv N Hpred group_args n_normal a), forall (hb : @CorrespondenceImagePred.{u} G one mul inv N Hpred group_args n_normal b), @CorrespondenceImagePred.{u} G one mul inv N Hpred group_args n_normal (@NormalQuotMul.{u} G one mul inv N group_args n_normal a b)), forall (image_inv_closed : forall (a : @NormalQuot.{u} G one mul inv N group_args n_normal), forall (ha : @CorrespondenceImagePred.{u} G one mul inv N Hpred group_args n_normal a), @CorrespondenceImagePred.{u} G one mul inv N Hpred group_args n_normal (@NormalQuotInv.{u} G one mul inv N group_args n_normal a)), @CorrespondenceImageSubgroupEvidence.{u} G one mul inv N Hpred group_args n_normal