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Declaration

normal_rel_refl

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 (a : G), @NormalRel.{u} G one mul inv N a a

Proof term

fun G => fun one => fun mul => fun inv => fun group_args => fun N => fun normal_args => fun a => @eq_subst.{u} G N one (mul (inv a) a) (@eq_symm.{u} G (mul (inv a) a) one (@group_inv_mul.{u} G one mul inv group_args a)) (@subgroup_one.{u} G one mul inv N (@normal_subgroup_laws.{u} G one mul inv N normal_args))

Constants