
theorem
  for C,D being Category, F being Functor of C,D, I being Indexing of D
  for T being TargetCat of I holds rng (I*F) is Subcategory of T
proof
  let C,D be Category;
  let F be Functor of C,D;
  let I be Indexing of D;
  let T be TargetCat of I;
  T is TargetCat of I*F by Th24;
  hence thesis by Th14;
end;
