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Proof step 1 from proof div-ls-pos-mon (conclusion)

i < i0 / j, i0 ≤ i1, 0 ≤ i0, 0 < j ⊦ i < i1 / j

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 2:
i < i0 / j, i0 ≤ i1, i1 / j ≤ i, 0 ≤ i1, 0 ≤ i0, 0 < j, i1 / j < i0 / j ⊦

Rule argument

Additional information

Used simplifier rules: forward-lele: ⊦ j ≤ j0 ∧ j0 ≤ j1 → j ≤ j1; (forward) from specification int-abs%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%forward-lels: ⊦ i ≤ j ∧ j < j0 → i < j0; (forward) from specification int-abs%lels: ⊦ ¬ i < j ↔ j ≤ i; from specification int-abs