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Declaration

third_iso_phi_mul

Mathlib.Algebra.Group.ThirdIsomorphism

Packages

2

Module

63

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), forall (h_normal : @NormalSubgroupLawArgs.{succ u} G one mul inv Hpred), forall (n_le_h : forall (x : G), forall (hn : N x), Hpred x), forall (a : G), forall (b : G), @Eq.{succ u} (@NormalQuot.{u} G one mul inv Hpred group_args h_normal) (@ThirdIsoPhi.{u} G one mul inv N Hpred group_args n_normal h_normal n_le_h (@NormalQuotMk.{u} G one mul inv N group_args n_normal (mul a b))) (@NormalQuotMul.{u} G one mul inv Hpred group_args h_normal (@ThirdIsoPhi.{u} G one mul inv N Hpred group_args n_normal h_normal n_le_h (@NormalQuotMk.{u} G one mul inv N group_args n_normal a)) (@ThirdIsoPhi.{u} G one mul inv N Hpred group_args n_normal h_normal n_le_h (@NormalQuotMk.{u} G one mul inv N group_args n_normal b)))

Proof term

fun G => fun one => fun mul => fun inv => fun N => fun Hpred => fun group_args => fun n_normal => fun h_normal => fun n_le_h => fun a => fun b => @Eq.refl.{succ u} (@NormalQuot.{u} G one mul inv Hpred group_args h_normal) (@NormalQuotMk.{u} G one mul inv Hpred group_args h_normal (mul a b))

Constants