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Proof step 3 from proof sqls (previous step)

n ≠ 0 ∧ n ≠ 1, m ≤ n ⊦ m + 1 < n * n

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 4:
m ≤ n, n * n ≤ m + 1 ⊦ n = 1, n = 0

Rule argument

Additional information

Used simplifier rules: lels: ⊦ ¬ m < n ↔ n ≤ m; from specification nat