End IndexedFamilyFacts.
Section IndexedFamilyToFamily.
(* relation to families of subsets of T *)
Variable T:Type.
Variable A:Type.
Variable F:IndexedFamily A T.
Definition ImageFamily : Family T :=
Im Full_set F.

(* Specifications: *)
Lemma indexed_to_family_union: IndexedUnion F = FamilyUnion ImageFamily.
Lemma indexed_to_family_intersection:
IndexedIntersection F = FamilyIntersection ImageFamily.