normal_rel_refl

Mathlib.Algebra.Group.Subgroup

Packages

Module

Theorem

750

Declarations

1016

信頼境界外の sidecar

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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

Mathlib.Algebra.Group.Basic.GroupLawArgs

Interface hash: sha256:2d87332e5e2af4c4567f00f441f3a30fa8780563655728bc695cf467701fd8db

Mathlib.Algebra.Group.Subgroup.NormalRel

Interface hash: sha256:9846c2dd7eb15da07ecbeb78644532226c8ce50cf7ddf9c0f7a2bd5cbb7bc58e

Mathlib.Algebra.Group.Subgroup.NormalSubgroupLawArgs

Interface hash: sha256:808ae35e6b38f18f2fa58c14eebebbc2e93b11d1887b258bff2cea4daf9d9fb8