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Proof step 8 from proof modeqp-copied (previous step)

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

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 9:
i < i0, j0 < j, j1 < j, 0 < j, 0 ≤ j0, 0 ≤ j1, i0 * j + j1 ≤ i * j + j0 ⊦ i = i0

Rule argument

Additional information

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