fact: Definition CForall_prop {A: Type} (P: A -> Prop) (l: list A): (forall x, In x l -> P x) IFF CForall P l.
imports: Coq.Arith.Compare_dec CoRN.logic.CornBasics Coq.ZArith.ZArith Coq.setoid_ring.ZArithRing Coq.Arith.Wf_nat Coq(Lia)