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Proof step 7 from proof square-eq-01 (previous step)

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

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 8:
i * i + i = j * j + j, j < i, 0 < i, 0 ≤ j, 0 ≤ i ⊦

Rule argument

Additional information

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