proposition: Theorem ppc_nZ : forall a b c : Term A n, ~ zeroP (A:=A) A0 eqA (n:=n) a -> ~ zeroP (A:=A) A0 eqA (n:=n) b -> ~ zeroP (A:=A) A0 eqA (n:=n) (ppc a b).
proof: Proof. Proof using plusA multA minusA invA divA cs. intros a b; case a; case b; simpl in |- *; auto. Qed.
imports: Coq(Relation_Definitions List) Buchberger(CoefStructure moreCoefStructure OrderStructure) Buchberger(Monomials Term)