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Proof step 1 from proof lsf-02 (conclusion)

⊦ i / j < i / i0 ∧ 0 < j ∧ 0 < i0 ∧ i < 0 → j < i0

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 2:
i < i0, i < j, i < 0, 0 < i0, i0 ≤ j, i / j < i / i0, 0 < j, i + 1 < i0, i + 1 < j ⊦

Rule argument

Additional information

Used simplifier rules: forward-lsle: ⊦ i < j ∧ j ≤ j0 → i < j0; (forward) from specification int-abs%succ-01: ⊦ i +1 = i + 1; from specification int-basic2%forward-le-05: ⊦ i < j ∧ 0 ≤ i → 0 < j; (forward) from specification int-abs%forward-le-02: ⊦ j < i ∧ i ≤ 0 → j < 0; (forward) from specification int-abs%trans: ⊦ i < j ∧ j < j0 → i < j0; (forward) from specification int-basic1%lf-01: ⊦ i < j ∧ j < i0 → i +1 < i0; (forward) from specification int-basic1%forward-le: ⊦ i ≤ j ∧ 0 < i → 0 < j; (forward) from specification int-abs%lels: ⊦ ¬ i < j ↔ j ≤ i; from specification int-abs