second_iso_inter_to_kernel

Mathlib.Algebra.Group.SecondIsomorphism.Kernel

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 (h : G), forall (hi : @SubgroupInterPred.{succ u} G Hpred N h), @SecondIsoKernelPred.{u} G one mul inv N h

Proof term

fun G => fun one => fun mul => fun inv => fun N => fun group_args => fun normal_args => fun Hpred => fun h => fun hi => @normal_rel_one_of_mem.{succ u} G one mul inv group_args N normal_args h (@subgroup_inter_right.{succ u} G Hpred N h hi)

Constants

Mathlib.Algebra.Group.Basic.GroupLawArgs

Interface hash: sha256:2d87332e5e2af4c4567f00f441f3a30fa8780563655728bc695cf467701fd8db

Mathlib.Algebra.Group.SecondIsomorphism.Kernel.SecondIsoKernelPred

Interface hash: sha256:8fe4f911cbf7acecccee18520857743066a2f7c44a366855bd7b718f9f0793ea

Mathlib.Algebra.Group.Subgroup.NormalSubgroupLawArgs

Interface hash: sha256:808ae35e6b38f18f2fa58c14eebebbc2e93b11d1887b258bff2cea4daf9d9fb8

Mathlib.Algebra.Group.Subgroup.SubgroupInterPred

Interface hash: sha256:1dd799b430071044f579b518d434bdc6772cebff542702f6197e3513ed8db34a