second_iso_kernel_sound

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 (hh : Hpred h), forall (hk : @SecondIsoKernelPred.{u} G one mul inv N h), @Eq.{succ u} (@NormalQuot.{u} G one mul inv N group_args normal_args) (@SecondIsoPhi.{u} G one mul inv N group_args normal_args Hpred h hh) (@NormalQuotOne.{u} G one mul inv N group_args normal_args)

Proof term

fun G => fun one => fun mul => fun inv => fun N => fun group_args => fun normal_args => fun Hpred => fun h => fun hh => fun hk => @normal_quot_sound.{u} G one mul inv N group_args normal_args h one hk

Constants

Mathlib.Algebra.Group.Basic.GroupLawArgs

Interface hash: sha256:2d87332e5e2af4c4567f00f441f3a30fa8780563655728bc695cf467701fd8db

Mathlib.Algebra.Group.Quotient.NormalQuot

Interface hash: sha256:ac0d31805001e1ea1fe46e644b7187eb3e256364063df8dec29e9007eb5b31e4

Mathlib.Algebra.Group.Quotient.Group.NormalQuotOne

Interface hash: sha256:696d111c03bd74b79a622454c0959bdc5f47662e1c695264f160a2d73d1ef910

Mathlib.Algebra.Group.SecondIsomorphism.Kernel.SecondIsoKernelPred

Interface hash: sha256:8fe4f911cbf7acecccee18520857743066a2f7c44a366855bd7b718f9f0793ea

Mathlib.Algebra.Group.SecondIsomorphism.Map.SecondIsoPhi

Interface hash: sha256:11191a2774229a7c804a8ee3feb1f034a6638450f99aa4698bf9ae564bc3eea9

Mathlib.Algebra.Group.Subgroup.NormalSubgroupLawArgs

Interface hash: sha256:808ae35e6b38f18f2fa58c14eebebbc2e93b11d1887b258bff2cea4daf9d9fb8

Std.Logic.Eq.Eq

Interface hash: sha256:ca4f8520fd678a809c3ebf0bc7fa38d3063ca4d231e79d567de888685449a015