proposition: Lemma gpaco4_compat_init clo (CMP: compatible4 gf clo): gpaco4 gf clo bot4 bot4 <4= paco4 gf bot4.
proof: Proof. intros. destruct PR. revert x0 x1 x2 x3 IN. pcofix CIH. intros. pstep. eapply gf_mon; [| right; apply CIH, rclo4_rclo, PR]. apply compat4_compat with (gf:=gf). apply rclo4_compat. apply gf_mon. apply CMP. eapply rclo4_mon. apply IN. intros. destruct PR; [|contradiction]. _punfold H; [..|apply gpaco4_def_mon, gf_mon]. eapply gpaco4_def_mon. apply gf_mon. apply H. intros. destruct PR; [|destruct H0; contradiction]. left. apply H0. Qed.
imports: Program.Basics Paco(paco4 pacotac)