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Proof step 4 from proof div-mod-eq (previous step)

¬ 0 ≤ i % j ⊦ j = 0, i |/| j * j + i |%| j = i

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 5:
i % j < 0 ⊦ j = 0, i |/| j * j + i |%| j = i

Rule argument

Additional information

Used simplifier rules: forward-le-02: ⊦ j < i ∧ i ≤ 0 → j < 0; (forward) from specification int-abs%lels-01: ⊦ ¬ i ≤ j ↔ j < i; from specification int-abs