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Declaration

second_iso_phi_mul

Mathlib.Algebra.Group.SecondIsomorphism.Map

Packages

2

Module

63

Theorems

750

Declarations

1016

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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_args : @SubgroupLawArgs.{succ u} G one mul inv Hpred), forall (a : G), forall (b : G), forall (ha : Hpred a), forall (hb : Hpred b), @Eq.{succ u} (@NormalQuot.{u} G one mul inv N group_args normal_args) (@NormalQuotMul.{u} G one mul inv N group_args normal_args (@SecondIsoPhi.{u} G one mul inv N group_args normal_args Hpred a ha) (@SecondIsoPhi.{u} G one mul inv N group_args normal_args Hpred b hb)) (@SecondIsoPhi.{u} G one mul inv N group_args normal_args Hpred (mul a b) (@subgroup_mul_closed.{succ u} G one mul inv Hpred h_args a b ha hb))

Proof term

fun G => fun one => fun mul => fun inv => fun N => fun group_args => fun normal_args => fun Hpred => fun h_args => fun a => fun b => fun ha => fun hb => @Eq.refl.{succ u} (@NormalQuot.{u} G one mul inv N group_args normal_args) (@NormalQuotMk.{u} G one mul inv N group_args normal_args (mul a b))

Constants