
theorem
  for C being Category, I being Indexing of C for T being TargetCat of I
  , D being Categorial Category for F being Functor of T,D holds rng (F*I) is
  Subcategory of Image F
proof
  let C be Category;
  let I be Indexing of C;
  let T be TargetCat of I, D be Categorial Category;
  let F be Functor of T,D;
  Image F is TargetCat of F*I by Th28;
  hence thesis by Th14;
end;
