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Proof step 2 from proof mult-split-mod (previous step)

0 < j, 0 ≤ i, 0 ≤ i0 ⊦ i / j * i0 + (i0 * i % j) / j = (i0 * i) / j

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 3:
0 < j, 0 ≤ i0, 0 ≤ i ⊦ i / j * i0 + (i0 * i % j) / j = (i0 * i) / j

Rule argument

Additional information

Used simplifier rules: forward-le-01: ⊦ i ≤ j ∧ 0 ≤ i → 0 ≤ j; (forward) from specification int-abs%forward-le-05: ⊦ i < j ∧ 0 ≤ i → 0 < j; (forward) from specification int-abs