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Proof step 8 from proof square-ls-02 (previous step)

i < j, 0 ≤ i, 0 ≤ j ⊦ i * i + i < j * j + j

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 9:
i < j, 0 ≤ i, 0 ≤ j, j * j + j ≤ i * i + i, 0 < j ⊦

Rule argument

Additional information

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