proposition: Lemma gpaco5_compat_init clo (CMP: compatible5 gf clo): gpaco5 gf clo bot5 bot5 <5= paco5 gf bot5.
proof: Proof. intros. destruct PR. revert x0 x1 x2 x3 x4 IN. pcofix CIH. intros. pstep. eapply gf_mon; [| right; apply CIH, rclo5_rclo, PR]. apply compat5_compat with (gf:=gf). apply rclo5_compat. apply gf_mon. apply CMP. eapply rclo5_mon. apply IN. intros. destruct PR; [|contradiction]. _punfold H; [..|apply gpaco5_def_mon, gf_mon]. eapply gpaco5_def_mon. apply gf_mon. apply H. intros. destruct PR; [|destruct H0; contradiction]. left. apply H0. Qed.
imports: Program.Basics Paco(paco5 pacotac)