proposition: Lemma gpaco2_compat_init clo (CMP: compatible2 gf clo): gpaco2 gf clo bot2 bot2 <2= paco2 gf bot2.
proof: Proof. intros. destruct PR. revert x0 x1 IN. pcofix CIH. intros. pstep. eapply gf_mon; [| right; apply CIH, rclo2_rclo, PR]. apply compat2_compat with (gf:=gf). apply rclo2_compat. apply gf_mon. apply CMP. eapply rclo2_mon. apply IN. intros. destruct PR; [|contradiction]. _punfold H; [..|apply gpaco2_def_mon, gf_mon]. eapply gpaco2_def_mon. apply gf_mon. apply H. intros. destruct PR; [|destruct H0; contradiction]. left. apply H0. Qed.
imports: Program.Basics Paco(paco2 pacotac)