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Proof step 2 from proof mod-pred-neg-01 (previous step)

i < 0, 0 < j ⊦ i % j = (i - 1) % j + 1, (i - 1) % j = 0

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 3:
0 < j, i < 0 ⊦ (i - 1) % j = 0, i % j = (i - 1) % j + 1

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