SecondIsoProductQuotPred

Mathlib.Algebra.Group.SecondIsomorphism.Image

Packages

Module

Theorem

750

Declarations

1016

信頼境界外の sidecar

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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 (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 (q : @NormalQuot.{u} G one mul inv N group_args normal_args), Prop

Proof term

fun G => fun one => fun mul => fun inv => fun N => fun group_args => fun normal_args => fun Hpred => fun q => forall (P : Prop), forall (mk : forall (x : G), forall (hx : @SubgroupProductPred.{succ u} G mul Hpred N x), forall (eq_q : @Eq.{succ u} (@NormalQuot.{u} G one mul inv N group_args normal_args) (@NormalQuotMk.{u} G one mul inv N group_args normal_args x) q), P), P