second_iso_kernel_evidence

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 (group_args : @GroupLawArgs.{succ u} G one mul inv), forall (normal_args : @NormalSubgroupLawArgs.{succ u} G one mul inv N), forall (Hpred : forall (x : G), Prop), @SecondIsoKernelEvidence.{u} G one mul inv N group_args normal_args Hpred

fun G => fun one => fun mul => fun inv => fun N => fun group_args => fun normal_args => fun Hpred => fun (P : Prop) => fun (mk : forall (to_inter : forall (h : G), forall (hh : Hpred h), forall (hk : @SecondIsoKernelPred.{u} G one mul inv N h), @SubgroupInterPred.{succ u} G Hpred N h), forall (to_kernel : forall (h : G), forall (hi : @SubgroupInterPred.{succ u} G Hpred N h), @SecondIsoKernelPred.{u} G one mul inv N h), P) => mk (@second_iso_kernel_to_inter.{u} G one mul inv N group_args normal_args Hpred) (@second_iso_inter_to_kernel.{u} G one mul inv N group_args normal_args Hpred)