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Proof step 14 from proof nummult-le-02 (previous step)

0 < i, j0 < i, i2 < i0, 0 ≤ i + i2 * i + j0, 0 ≤ j0, ~1 ≤ i2 * i + j0 ⊦ i2 * i + j0 < i * i0

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 15:
i2 < i0, j0 < i, 0 < i, ~1 ≤ i2 * i + j0, 0 ≤ j0, 0 ≤ i + i2 * i + j0, i * i0 ≤ i2 * i + j0 ⊦

Rule argument

Additional information

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