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Declaration
normal_inv_conj_closed
Mathlib.Algebra.Group.Subgroup
Packages
2
Module
63
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 (g : G), forall (n : G), forall (hn : N n), N (mul (mul (inv g) n) g)Proof term
fun G => fun one => fun mul => fun inv => fun group_args => fun N => fun normal_args => fun g => fun n => fun hn => @eq_subst.{u} G N (mul (mul (inv g) n) (inv (inv g))) (mul (mul (inv g) n) g) (@eq_congr_arg.{u,u} G G (fun (z : G) => mul (mul (inv g) n) z) (inv (inv g)) g (@group_inv_inv.{u} G one mul inv group_args g)) (@normal_conj_closed.{u} G one mul inv N normal_args (inv g) n hn)