proposition: Lemma gpaco12_compat_init clo (CMP: compatible12 gf clo): gpaco12 gf clo bot12 bot12 <12= paco12 gf bot12.
proof: Proof. intros. destruct PR. revert x0 x1 x2 x3 x4 x5 x6 x7 x8 x9 x10 x11 IN. pcofix CIH. intros. pstep. eapply gf_mon; [| right; apply CIH, rclo12_rclo, PR]. apply compat12_compat with (gf:=gf). apply rclo12_compat. apply gf_mon. apply CMP. eapply rclo12_mon. apply IN. intros. destruct PR; [|contradiction]. _punfold H; [..|apply gpaco12_def_mon, gf_mon]. eapply gpaco12_def_mon. apply gf_mon. apply H. intros. destruct PR; [|destruct H0; contradiction]. left. apply H0. Qed.
imports: Program.Basics Paco(paco12 pacotac)