proposition: Lemma rclo5_dist clo (MON: monotone5 clo) (DIST: forall r1 r2, clo (r1 \5/ r2) <5= (clo r1 \5/ clo r2)): forall r1 r2, rclo5 clo (r1 \5/ r2) <5= (rclo5 clo r1 \5/ rclo5 clo r2).
proof: Proof. intros. induction PR. + destruct IN; [left|right]; apply rclo5_base, H. + assert (REL: clo (rclo5 clo r1 \5/ rclo5 clo r2) x0 x1 x2 x3 x4). { eapply MON. apply IN. apply H. } apply DIST in REL. destruct REL; [left|right]; apply rclo5_clo, H0. Qed.
imports: Program.Basics Paco(paco5 pacotac)