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Proof step 1 from proof mods-ls-04 (conclusion)

⊦ j0 < j ∧ 0 ≤ i ∧ 0 ≤ i0 ∧ 0 ≤ j0 → (i * j + j0 < i0 * j ↔ i < i0)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 2:
j0 < j, 0 ≤ i, 0 ≤ i0, 0 ≤ j0, 0 < j ⊦ i * j + j0 < i0 * j ↔ i < i0

Rule argument

Additional information

Used simplifier rules: forward-le-01: ⊦ i ≤ j ∧ 0 ≤ i → 0 ≤ j; (forward) from specification int-abs%forward-lels: ⊦ i ≤ j ∧ j < j0 → i < j0; (forward) from specification int-abs