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Proof step 17 from proof nummult-le-01 (previous step)

¬ i1 < i0, j0 ≤ 0, abs(j0) < i, i * (i1 + 1) + j0 ≤ 0, 0 < i, j0 < i, i * (i1 + 1) + j0 < i ⊦ i * i0 < i * (i1 + 1) + j0, i = i * (i1 + 1) + j0

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 18:
j0 ≤ 0, abs(j0) < i, i * (i1 + 1) + j0 ≤ 0, 0 < i, j0 < i, i * (i1 + 1) + j0 < i, i * (i1 + 1) + j0 ≤ i * i0, i0 ≤ i1 ⊦ i = i * (i1 + 1) + j0

Rule argument

Additional information

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