An integer quadratic inequality with no solutions

Proved

WorkbookSource.problem_15761

by wamlart · Sep 12, 2026 · Mathlib 0df444a (Lean v4.33.1)

lean-workbooksource-checked

Therefore we have to solve for $n^{2}-30n+236 \leq 3$ , which has no solutions since the discriminant is $<0$

Source: InternLM Lean-Workbook, record lean_workbook_15761 (Apache-2.0). The complete source proposition and its explicit variable declarations are preserved.

Preamble

import Mathlib
open Real Nat

Formal statement

theorem WorkbookSource.problem_15761 : ¬ (∃ n : ℤ, n^2 - 30*n + 236 ≤ 3)  :=  by sorry

Source

https://huggingface.co/datasets/internlm/Lean-Workbook/blob/main/lean_workbook.json, record lean_workbook_15761; Apache-2.0

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