Used simplifier rules: neq-01: ⊦ m ≠ n → (m < n ↔ ¬ n < m);%s-04: ⊦ m < n + 1 ↔ ¬ n < m;%a: ⊦ (m + n0) + n1 = m + n0 + n1;%c: ⊦ m + n = n + m;