FirstIsoImageGroupEvidence

forall (G : Sort succ u), forall (oneG : G), forall (mulG : forall (a : G), forall (b : G), G), forall (invG : forall (a : G), G), forall (H : Sort succ v), forall (oneH : H), forall (mulH : forall (a : H), forall (b : H), H), forall (invH : forall (a : H), H), forall (f : forall (x : G), H), forall (hom_args : @GroupHomLawArgs.{succ u,succ v} G oneG mulG invG H oneH mulH invH f), Prop

inductive FirstIsoImageGroupEvidence.{u,v} : forall (G : Sort succ u), forall (oneG : G), forall (mulG : forall (a : G), forall (b : G), G), forall (invG : forall (a : G), G), forall (H : Sort succ v), forall (oneH : H), forall (mulH : forall (a : H), forall (b : H), H), forall (invH : forall (a : H), H), forall (f : forall (x : G), H), forall (hom_args : @GroupHomLawArgs.{succ u,succ v} G oneG mulG invG H oneH mulH invH f), Prop where | mk : forall (G : Sort succ u), forall (oneG : G), forall (mulG : forall (a : G), forall (b : G), G), forall (invG : forall (a : G), G), forall (H : Sort succ v), forall (oneH : H), forall (mulH : forall (a : H), forall (b : H), H), forall (invH : forall (a : H), H), forall (f : forall (x : G), H), forall (hom_args : @GroupHomLawArgs.{succ u,succ v} G oneG mulG invG H oneH mulH invH f), forall (one_member : @ImagePred.{succ u,succ v} G H f oneH), forall (mul_closed : forall (x : H), forall (y : H), forall (hx : @ImagePred.{succ u,succ v} G H f x), forall (hy : @ImagePred.{succ u,succ v} G H f y), @ImagePred.{succ u,succ v} G H f (mulH x y)), forall (inv_closed : forall (y : H), forall (hy : @ImagePred.{succ u,succ v} G H f y), @ImagePred.{succ u,succ v} G H f (invH y)), @FirstIsoImageGroupEvidence.{u,v} G oneG mulG invG H oneH mulH invH f hom_args