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Proof step 7 from proof estimate-01 (previous step)

0 ≤ j1, i1 < i0, j1 < j, 1 < i, 0 < i, 0 < j, 0 < i0, i1 ≤ j0, j0 < i0, j < i ⊦ i1 * j + j1 < i * i0

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 8:
0 ≤ j1, i1 < i0, j1 < j, 1 < i, 0 < i, 0 < j, 0 < i0, i1 ≤ j0, j0 < i0, j < i, i * i0 ≤ i1 * j + j1 ⊦

Rule argument

Additional information

Used simplifier rules: lels: ⊦ ¬ i < j ↔ j ≤ i; from specification int-abs