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Proof step 1 from proof le-norest (conclusion)

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

Heuristic simplifier applied rule simplifier

And obtained the following new goals

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

Rule argument

Additional information

Used simplifier rules: forward-le-05: ⊦ i < j ∧ 0 ≤ i → 0 < j; (forward) from specification int-abs%forward-le-01: ⊦ i ≤ j ∧ 0 ≤ i → 0 ≤ j; (forward) from specification int-abs