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Proof step 8 from proof ls (previous step)

i1 * i + j0 = i0 * j + j1, 0 < i0, j0 < j, 0 < j, 0 < i, i1 < i0, j0 < i, j1 < j, 0 < i1 * i + j0, 0 ≤ i1, 0 ≤ j0, i ≤ j, 0 ≤ j1 ⊦

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 9:
i1 * i + j0 = i0 * j + j1, j1 < j, j0 < i, i1 < i0, 0 < i, 0 < j, j0 < j, 0 < i0 * j + j1, 0 < i0, i ≤ j, 0 ≤ j0, 0 ≤ i1, 0 ≤ j1 ⊦

Rule argument

Additional information

Used simplifier rules: forward-le-01: ⊦ i ≤ j ∧ 0 ≤ i → 0 ≤ j; (forward) from specification int-abs%forward-le-05: ⊦ i < j ∧ 0 ≤ i → 0 < j; (forward) from specification int-abs