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Proof step 2 from proof estimate-01 (previous step)

j0 < i0, j < i, 0 < j, 0 < i0, 0 < i ⊦ j0 < (i * i0) / j

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 3:
j < i, j0 < i0, 0 < i, 0 < i0, 0 < j, 1 < i, (i * i0) / j < i0, (i * i0) / j ≤ j0 ⊦

Rule argument

Additional information

Used simplifier rules: forward-le-05: ⊦ i < j ∧ 0 ≤ i → 0 < j; (forward) from specification int-abs%forward-pos: ⊦ i < j ∧ 0 < i → 0 < j ∧ 1 < j; (forward) from specification int-basic1%forward-lels: ⊦ i ≤ j ∧ j < j0 → i < j0; (forward) from specification int-abs% ⊦ i < j ↔ ¬ j ≤ i; (ss)