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Proof step 7 from proof nummult-le-03 (previous step)

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

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 8:
abs(j0) < i, 0 < i, j0 < i, i1 * i + j0 < 0, i0 < i1, i1 * i + j0 ≤ i * i0, j0 ≤ 0 ⊦

Rule argument

Additional information

Used simplifier rules: ⊦ i ≤ j ↔ ¬ j < i; (ss)