proposition: Lemma gpaco13_compat_init clo (CMP: compatible13 gf clo): gpaco13 gf clo bot13 bot13 <13= paco13 gf bot13.
proof: Proof. intros. destruct PR. revert x0 x1 x2 x3 x4 x5 x6 x7 x8 x9 x10 x11 x12 IN. pcofix CIH. intros. pstep. eapply gf_mon; [| right; apply CIH, rclo13_rclo, PR]. apply compat13_compat with (gf:=gf). apply rclo13_compat. apply gf_mon. apply CMP. eapply rclo13_mon. apply IN. intros. destruct PR; [|contradiction]. _punfold H; [..|apply gpaco13_def_mon, gf_mon]. eapply gpaco13_def_mon. apply gf_mon. apply H. intros. destruct PR; [|destruct H0; contradiction]. left. apply H0. Qed.
imports: Program.Basics Paco(paco13 pacotac)