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Proof step 24 from proof equality-02 (previous step)

i * j0 = i0 * j, 0 < j, 0 < j0, 0 ≤ i ⊦ i = 0, rational(i, j) = rational(i0, j0), 0 ≠ i ∧ ¬ i0 ≤ 0

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Rule argument

Additional information

Used simplifier rules: ⊦ i < j ∧ 0 ≤ i → 0 < j; (forward)% ⊦ j ≤ i ∧ i ≤ 0 → j ≤ 0; (forward)% ⊦ i ≤ j ∧ j < j0 → i < j0; (forward)% ⊦ i ≠ j → (i ≤ j ↔ i < j);