proposition: Lemma gpaco0_compat_init clo (CMP: compatible0 gf clo): gpaco0 gf clo bot0 bot0 <0= paco0 gf bot0.
proof: Proof. intros. destruct PR. revert IN. pcofix CIH. intros. pstep. eapply gf_mon; [| right; apply CIH, rclo0_rclo, PR]. apply compat0_compat with (gf:=gf). apply rclo0_compat. apply gf_mon. apply CMP. eapply rclo0_mon. apply IN. intros. destruct PR; [|contradiction]. _punfold H; [..|apply gpaco0_def_mon, gf_mon]. eapply gpaco0_def_mon. apply gf_mon. apply H. intros. destruct PR; [|destruct H0; contradiction]. left. apply H0. Qed.
imports: Program.Basics Paco(paco0 pacotac)