Used simplifier rules: div-eq-zero: ⊦ 0 < i ∧ 0 < j → (i / j = 0 ↔ i < j);% ⊦ i < j → (j ≤ i ↔ false); (as)% ⊦ i < j ↔ ¬ j ≤ i; (ss)