proposition: Lemma gpaco9_compat_init clo (CMP: compatible9 gf clo): gpaco9 gf clo bot9 bot9 <9= paco9 gf bot9.
proof: Proof. intros. destruct PR. revert x0 x1 x2 x3 x4 x5 x6 x7 x8 IN. pcofix CIH. intros. pstep. eapply gf_mon; [| right; apply CIH, rclo9_rclo, PR]. apply compat9_compat with (gf:=gf). apply rclo9_compat. apply gf_mon. apply CMP. eapply rclo9_mon. apply IN. intros. destruct PR; [|contradiction]. _punfold H; [..|apply gpaco9_def_mon, gf_mon]. eapply gpaco9_def_mon. apply gf_mon. apply H. intros. destruct PR; [|destruct H0; contradiction]. left. apply H0. Qed.
imports: Program.Basics Paco(paco9 pacotac)