n ≤ m, n0 ≤ n, n0 ≤ m, n0 ≤ max(m, n) ⊦ m = max(m, n)
Used simplifier rules: Max-right: ⊦ ¬ m < n → max(m, n) = m;%lels: ⊦ ¬ m < n ↔ n ≤ m; from specification nat