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Proof step 2 from proof mod-mult-pos-01 (previous step)

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

Heuristic simplifier applied rule simplifier

And obtained the following new goals

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