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Declaration
normal_conj_closed
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 (N : forall (x : G), Prop), forall (normal_args : @NormalSubgroupLawArgs.{u} G one mul inv N), forall (g : G), forall (n : G), forall (hn : N n), N (mul (mul g n) (inv g))Proof term
fun G => fun one => fun mul => fun inv => fun N => fun normal_args => fun g => fun n => fun hn => normal_args (N (mul (mul g n) (inv g))) (fun (subgroup_laws : @SubgroupLawArgs.{u} G one mul inv N) => fun (conj_closed : forall (g : G), forall (n : G), forall (hn : N n), N (mul (mul g n) (inv g))) => conj_closed g n hn)