proposition: Lemma nForall (T : System) (f : Formula) (v : nat): SysPrf T (exH v, ~ f)%fol -> SysPrf T (~ (allH v, f))%fol.
proof: Proof. apply (nForall LNN). Qed.
imports: Coq(Arith Ensembles List) LibHyps(LibHyps) hydras(MoreLibHyps NewNotations)