Used simplifier rules: l: ⊦ m + n < m + n0 ↔ n < n0;%ls-04: ⊦ m < n ↔ ¬(m = n ∨ n < m);%ls-02: ⊦ m < n → ¬ n < m;%a: ⊦ (m + n0) + n1 = m + n0 + n1;%c: ⊦ m + n = n + m;