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Proof step 1 from proof mod-neg-01 (conclusion)

j ≠ 0 ⊦ ~ i % j = ~(i % j)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 2:
⊦ j = 0, i % j + ~ i % j = 0

Rule argument

Additional information

Used simplifier rules: negeq: ⊦ ~ i = j ↔ i + j = 0; from specification int-abs