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Proof step 2 from proof div-mult-nls-est-01 (previous step)

i * i0 < j, 0 < i, 0 ≤ j ⊦ i0 ≤ j / i

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 3:
i * i0 < j, j / i < i0, 0 < i, 0 ≤ j ⊦

Rule argument

Additional information

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