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Proof step 3 from proof mod-pot-shift-pos (previous step)

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

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Rule argument

Additional information

Used simplifier rules: forward-le-05: ⊦ i < j ∧ 0 ≤ i → 0 < j; (forward) from specification int-abs%lels-02: ⊦ i ≠ j → (i ≤ j ↔ i < j); from specification int-abs