proposition: Lemma rclo6_dist clo (MON: monotone6 clo) (DIST: forall r1 r2, clo (r1 \6/ r2) <6= (clo r1 \6/ clo r2)): forall r1 r2, rclo6 clo (r1 \6/ r2) <6= (rclo6 clo r1 \6/ rclo6 clo r2).
proof: Proof. intros. induction PR. + destruct IN; [left|right]; apply rclo6_base, H. + assert (REL: clo (rclo6 clo r1 \6/ rclo6 clo r2) x0 x1 x2 x3 x4 x5). { eapply MON. apply IN. apply H. } apply DIST in REL. destruct REL; [left|right]; apply rclo6_clo, H0. Qed.
imports: Program.Basics Paco(paco6 pacotac)