Used simplifier rules: Min-left: ⊦ m < n → min(m, n) = m;%Min-right: ⊦ ¬ m < n → min(m, n) = n;% ⊦ m ≠ n → (m ≤ n ↔ m < n); (s)% ⊦ m < n → ¬ n < m; (s) Used formulas: m < n