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Proof step 11 from proof mod-next-square (previous step)

⊦ ¬ i ≤ 0, i % 2 = 0, ((i * i) * (i + 1) * (i + 1)) % 4 = 0, i % 2 ≠ 1 ∧ 0 < i

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 12:
i ≤ 0 ⊦ i % 2 = 0, ((i * i) * (i + 1) * (i + 1)) % 4 = 0, i % 2 ≠ 1 ∧ 0 < i

Rule argument

Additional information

Used simplifier rules: forward-le-04: ⊦ j ≤ i ∧ i ≤ 0 → j ≤ 0; (forward) from specification int-abs