CorrespondenceImageSubgroupMk

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 (P : Prop), Prop

fun G => fun one => fun mul => fun inv => fun N => fun Hpred => fun group_args => fun n_normal => fun P => forall (one_mem : @CorrespondenceImagePred.{u} G one mul inv N Hpred group_args n_normal (@NormalQuotOne.{u} G one mul inv N group_args n_normal)), forall (mul_closed : forall (a : @NormalQuot.{u} G one mul inv N group_args n_normal), forall (b : @NormalQuot.{u} G one mul inv N group_args n_normal), forall (ha : @CorrespondenceImagePred.{u} G one mul inv N Hpred group_args n_normal a), forall (hb : @CorrespondenceImagePred.{u} G one mul inv N Hpred group_args n_normal b), @CorrespondenceImagePred.{u} G one mul inv N Hpred group_args n_normal (@NormalQuotMul.{u} G one mul inv N group_args n_normal a b)), forall (inv_closed : forall (a : @NormalQuot.{u} G one mul inv N group_args n_normal), forall (ha : @CorrespondenceImagePred.{u} G one mul inv N Hpred group_args n_normal a), @CorrespondenceImagePred.{u} G one mul inv N Hpred group_args n_normal (@NormalQuotInv.{u} G one mul inv N group_args n_normal a)), P