proposition: Lemma succ_min_distr n m : succ (min n m) = min (succ n) (succ m).
proof: Proof. symmetry. apply min_monotone. intros x x'. apply succ_le_mono. Qed.
imports: BinNums Eqdep_dec EqdepFacts RelationClasses Morphisms Setoid Equalities Orders OrdersFacts GenericMinMax PeanoNat BinPosDef