proposition: Lemma rclo13_dist clo (MON: monotone13 clo) (DIST: forall r1 r2, clo (r1 \13/ r2) <13= (clo r1 \13/ clo r2)): forall r1 r2, rclo13 clo (r1 \13/ r2) <13= (rclo13 clo r1 \13/ rclo13 clo r2).
proof: Proof. intros. induction PR. + destruct IN; [left|right]; apply rclo13_base, H. + assert (REL: clo (rclo13 clo r1 \13/ rclo13 clo r2) x0 x1 x2 x3 x4 x5 x6 x7 x8 x9 x10 x11 x12). { eapply MON. apply IN. apply H. } apply DIST in REL. destruct REL; [left|right]; apply rclo13_clo, H0. Qed.
imports: Program.Basics Paco(paco13 pacotac)