normal_rel_one_of_mem

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

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