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Proof step 4 from proof zero-04 (previous step)

i / i0 + j / i0 < i0, i / i0 + j / i0 < i + j, 0 ≤ i + j, i / i0 + j / i0 < 0, 0 < i0, (i / i0 + j / i0) + 1 < i0 ⊦ 0 < i0 ∧ i < 0

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Rule argument

Additional information

Used simplifier rules: forward-lsle: ⊦ i < j ∧ j ≤ j0 → i < j0; (forward) from specification int-abs%lels: ⊦ ¬ i < j ↔ j ≤ i; from specification int-abs