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Proof step 5 from proof mods-ls-04 (previous step)

0 < j, j0 < j, 0 ≤ i, 0 ≤ i0, 0 ≤ j0 ⊦ i * j + j0 < i0 * j ↔ i < i0, i < i0 ∧ 0 ≤ j0 ∧ j0 < j

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 6:
j0 < j, 0 < j, i * j + j0 < i0 * j, 0 ≤ j0, 0 ≤ i0, i0 ≤ i, 0 ≤ i ⊦

Rule argument

Additional information

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