proposition: Lemma rclo8_dist clo (MON: monotone8 clo) (DIST: forall r1 r2, clo (r1 \8/ r2) <8= (clo r1 \8/ clo r2)): forall r1 r2, rclo8 clo (r1 \8/ r2) <8= (rclo8 clo r1 \8/ rclo8 clo r2).
proof: Proof. intros. induction PR. + destruct IN; [left|right]; apply rclo8_base, H. + assert (REL: clo (rclo8 clo r1 \8/ rclo8 clo r2) x0 x1 x2 x3 x4 x5 x6 x7). { eapply MON. apply IN. apply H. } apply DIST in REL. destruct REL; [left|right]; apply rclo8_clo, H0. Qed.
imports: Program.Basics Paco(paco8 pacotac)