proposition: Lemma rclo7_dist clo (MON: monotone7 clo) (DIST: forall r1 r2, clo (r1 \7/ r2) <7= (clo r1 \7/ clo r2)): forall r1 r2, rclo7 clo (r1 \7/ r2) <7= (rclo7 clo r1 \7/ rclo7 clo r2).
proof: Proof. intros. induction PR. + destruct IN; [left|right]; apply rclo7_base, H. + assert (REL: clo (rclo7 clo r1 \7/ rclo7 clo r2) x0 x1 x2 x3 x4 x5 x6). { eapply MON. apply IN. apply H. } apply DIST in REL. destruct REL; [left|right]; apply rclo7_clo, H0. Qed.
imports: Program.Basics Paco(paco7 pacotac)