proposition: Lemma gpaco8_compat_init clo (CMP: compatible8 gf clo): gpaco8 gf clo bot8 bot8 <8= paco8 gf bot8.
proof: Proof. intros. destruct PR. revert x0 x1 x2 x3 x4 x5 x6 x7 IN. pcofix CIH. intros. pstep. eapply gf_mon; [| right; apply CIH, rclo8_rclo, PR]. apply compat8_compat with (gf:=gf). apply rclo8_compat. apply gf_mon. apply CMP. eapply rclo8_mon. apply IN. intros. destruct PR; [|contradiction]. _punfold H; [..|apply gpaco8_def_mon, gf_mon]. eapply gpaco8_def_mon. apply gf_mon. apply H. intros. destruct PR; [|destruct H0; contradiction]. left. apply H0. Qed.
imports: Program.Basics Paco(paco8 pacotac)