proposition: Lemma rclo4_dist clo (MON: monotone4 clo) (DIST: forall r1 r2, clo (r1 \4/ r2) <4= (clo r1 \4/ clo r2)): forall r1 r2, rclo4 clo (r1 \4/ r2) <4= (rclo4 clo r1 \4/ rclo4 clo r2).
proof: Proof. intros. induction PR. + destruct IN; [left|right]; apply rclo4_base, H. + assert (REL: clo (rclo4 clo r1 \4/ rclo4 clo r2) x0 x1 x2 x3). { eapply MON. apply IN. apply H. } apply DIST in REL. destruct REL; [left|right]; apply rclo4_clo, H0. Qed.
imports: Program.Basics Paco(paco4 pacotac)