proposition: Lemma Fix_prop_to_gc : forall A B (E:binary B) (F:(A->B)->(A->B)) (f:A-->B), Fix_prop (partial_equiv E) (lesser_fixed_point E F) (partialize F) f -> generally_consistent_partial_fixed_point E F f.
proof: Proof. Proof using. introv [Ff Uf]. split. rewrite~ partial_fixed_point_definitions. intros f' Ff'. forwards~ [_ ?]: (Uf f'). rewrite~ partial_fixed_point_definitions in Ff'. Qed.
imports: TLC(LibTactics LibLogic LibReflect LibEpsilon LibInt LibProd LibSum LibOperation LibRelation LibWf LibOrder LibMin)