proposition: Lemma add_max_distr_l n m p : max (p + n) (p + m) = p + max n m.
proof: Proof. apply max_monotone. intros x x'. apply add_le_mono_l. Qed.
imports: BinNums Eqdep_dec EqdepFacts RelationClasses Morphisms Setoid Equalities Orders OrdersFacts GenericMinMax PeanoNat BinPosDef