proposition: Theorem multTerm_ltT_r : forall m1 m2 m3, ltT m1 m2 -> ltT (multTerm multA m1 m3) (multTerm multA m2 m3).
proof: Proof. Proof using os. intros a b c; case a; case b; case c; unfold ltT in |- *; simpl in |- *; auto. intros; apply ltM_plusr with (1 := os); auto. Qed.
imports: Coq(Lexicographic_Exponentiation Relation_Definitions) Coq(Inverse_Image Inclusion List Relation_Operators) Buchberger(Relation_Operators_compat Monomials) Buchberger(Term CoefStructure OrderStructure)