proposition: Lemma nForall (T : System) (f : Formula) (v : nat) : SysPrf T (exH v, ~ f)%nt -> SysPrf T (~ (allH v, f))%nt.
proof: Proof. apply (nForall LNT). Qed.
imports: Coq(Arith Ensembles List) hydras.Ackermann(Languages folProof folProp folLogic3)