Used simplifier rules: add-not-less: ⊦ ¬ n∞ + n∞1 < n∞1;%add-assoc: ⊦ (n∞ + n∞1) + n∞2 = n∞ + n∞1 + n∞2;%add-comm: ⊦ n∞1 + n∞2 = n∞2 + n∞1;