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Proof step 10 from proof nummult-le-02 (previous step)

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

User applied rule case distinction

And obtained the following new goals

Proof step 11:
0 < i, j0 < i, i2 * i + j0 < i * i0, 0 ≤ i + i2 * i + j0, 0 ≤ j0, ~1 ≤ i2 * i + j0 ⊦ i2 < i0
Proof step 14:
0 < i, j0 < i, i2 < i0, 0 ≤ i + i2 * i + j0, 0 ≤ j0, ~1 ≤ i2 * i + j0 ⊦ i2 * i + j0 < i * i0

Rule argument

pos: right 1

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