proposition: Lemma rclo9_dist clo (MON: monotone9 clo) (DIST: forall r1 r2, clo (r1 \9/ r2) <9= (clo r1 \9/ clo r2)): forall r1 r2, rclo9 clo (r1 \9/ r2) <9= (rclo9 clo r1 \9/ rclo9 clo r2).
proof: Proof. intros. induction PR. + destruct IN; [left|right]; apply rclo9_base, H. + assert (REL: clo (rclo9 clo r1 \9/ rclo9 clo r2) x0 x1 x2 x3 x4 x5 x6 x7 x8). { eapply MON. apply IN. apply H. } apply DIST in REL. destruct REL; [left|right]; apply rclo9_clo, H0. Qed.
imports: Program.Basics Paco(paco9 pacotac)