proposition: Theorem Noetherian_contains_Noetherian : forall (U:Type) (R R':Relation U), Noetherian U R -> contains U R R' -> Noetherian U R'.
proof: Proof. unfold Noetherian at 2. intros U R R' H' H'0 x. elim (H' x); auto with sets. Qed.
imports: Relations_1 Relations_1_facts Relations_2 Relations_2_facts Relations_3