third_iso_hn_one

forall (G : Sort succ 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 (Hpred : forall (x : G), Prop), forall (group_args : @GroupLawArgs.{succ u} G one mul inv), forall (n_normal : @NormalSubgroupLawArgs.{succ u} G one mul inv N), forall (h_normal : @NormalSubgroupLawArgs.{succ u} G one mul inv Hpred), @ThirdIsoHNPred.{u} G one mul inv N Hpred group_args n_normal (@ThirdIsoGNOne.{u} G one mul inv N group_args n_normal)

fun G => fun one => fun mul => fun inv => fun N => fun Hpred => fun group_args => fun n_normal => fun h_normal => @third_iso_hn_intro.{u} G one mul inv N Hpred group_args n_normal (@ThirdIsoGNOne.{u} G one mul inv N group_args n_normal) one (@subgroup_one.{succ u} G one mul inv Hpred (@normal_subgroup_laws.{succ u} G one mul inv Hpred h_normal)) (@Eq.refl.{succ u} (@ThirdIsoGN.{u} G one mul inv N group_args n_normal) (@ThirdIsoGNOne.{u} G one mul inv N group_args n_normal))