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Proof step 1 from proof modeq-neg (conclusion)

i0 * j + j0 < 0, 0 < j, j0 < 0 ⊦ (i0 * j + j0) % j = j0 % j

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 2:
i0 * j + j0 < 0, 0 < j, j0 < 0 ⊦ (i0 * j + j0) % j = j0 % j

Rule argument

Additional information

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