proposition: Lemma gpaco10_compat_init clo (CMP: compatible10 gf clo): gpaco10 gf clo bot10 bot10 <10= paco10 gf bot10.
proof: Proof. intros. destruct PR. revert x0 x1 x2 x3 x4 x5 x6 x7 x8 x9 IN. pcofix CIH. intros. pstep. eapply gf_mon; [| right; apply CIH, rclo10_rclo, PR]. apply compat10_compat with (gf:=gf). apply rclo10_compat. apply gf_mon. apply CMP. eapply rclo10_mon. apply IN. intros. destruct PR; [|contradiction]. _punfold H; [..|apply gpaco10_def_mon, gf_mon]. eapply gpaco10_def_mon. apply gf_mon. apply H. intros. destruct PR; [|destruct H0; contradiction]. left. apply H0. Qed.
imports: Program.Basics Paco(paco10 pacotac)