SecondIsoKernelEvidence

Mathlib.Algebra.Group.SecondIsomorphism

Packages

Module

Theorems

750

Declarations

1016

Untrusted 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), Prop

Proof term

fun G => fun one => fun mul => fun inv => fun N => fun group_args => fun normal_args => fun Hpred => forall (P : Prop), forall (mk : forall (to_inter : forall (h : G), forall (hh : Hpred h), forall (hk : @SecondIsoKernelPred.{u} G one mul inv N h), @SubgroupInterPred.{succ u} G Hpred N h), forall (to_kernel : forall (h : G), forall (hi : @SubgroupInterPred.{succ u} G Hpred N h), @SecondIsoKernelPred.{u} G one mul inv N h), P), P