0 < j, 0 < i, i < j ⊦ 1 ≠ j ∧ ¬ j < 1
Used simplifier rules: trans: ⊦ i < j ∧ j < j0 → i < j0;%l: ⊦ ¬ i < j ↔ ¬ ¬(i = j ∨ j < i);