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