proposition: Lemma add_min_distr_r n m p : min (n + p) (m + p) == min n m + p.
proof: Proof. destruct (le_ge_cases n m); [rewrite 2 min_l | rewrite 2 min_r]; now rewrite <- ?add_le_mono_r. Qed.
imports: ZAxioms ZMulOrder GenericMinMax