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Declaration

normal_rel_one_to_mem

Mathlib.Algebra.Group.Subgroup

Packages

2

Module

63

Theorems

750

Declarations

1016

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Statement

forall (G : Sort u), forall (one : G), forall (mul : forall (a : G), forall (b : G), G), forall (inv : forall (a : G), G), forall (group_args : @GroupLawArgs.{u} G one mul inv), forall (N : forall (x : G), Prop), forall (normal_args : @NormalSubgroupLawArgs.{u} G one mul inv N), forall (h : G), forall (hk : @NormalRel.{u} G one mul inv N h one), N h

Proof term

fun G => fun one => fun mul => fun inv => fun group_args => fun N => fun normal_args => fun h => fun hk => @eq_subst.{u} G N (inv (inv h)) h (@group_inv_inv.{u} G one mul inv group_args h) (@subgroup_inv_closed.{u} G one mul inv N (@normal_subgroup_laws.{u} G one mul inv N normal_args) (inv h) (@eq_subst.{u} G N (mul (inv h) one) (inv h) (@group_mul_one.{u} G one mul inv group_args (inv h)) hk))

Constants