correspondence_image_intro

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 (q : @NormalQuot.{u} G one mul inv N group_args n_normal), forall (h : G), forall (hh : Hpred h), forall (eq_q : @Eq.{succ u} (@NormalQuot.{u} G one mul inv N group_args n_normal) (@NormalQuotMk.{u} G one mul inv N group_args n_normal h) q), @CorrespondenceImagePred.{u} G one mul inv N Hpred group_args n_normal q

fun G => fun one => fun mul => fun inv => fun N => fun Hpred => fun group_args => fun n_normal => fun q => fun h => fun hh => fun eq_q => fun (P : Prop) => fun (mk : forall (h2 : G), forall (hh2 : Hpred h2), forall (eq_q2 : @Eq.{succ u} (@NormalQuot.{u} G one mul inv N group_args n_normal) (@NormalQuotMk.{u} G one mul inv N group_args n_normal h2) q), P) => mk h hh eq_q