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Proof step 1 from proof div-le-modzero (conclusion)

⊦ i % j = 0 ∧ 0 < j → (i0 ≤ i / j ↔ i0 * j ≤ i)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 2:
i % j = 0, 0 < j ⊦ i0 ≤ i / j ↔ i0 * j ≤ i

Rule argument

Additional information

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