Prove2Me

A quadratic has no real roots

Proved
WorkbookSource.problem_18356

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

lean-workbooksource-checked

The equation x2−x+1=0x^2 - x + 1 = 0 has no real solutions.

Source: InternLM Lean-Workbook, record lean_workbook_18356 (Apache-2.0). The complete source proposition and explicit variable declarations are preserved.

Preamble
import Mathlib
open Real Nat
Formal statement
theorem WorkbookSource.problem_18356 : ¬∃ x : ℝ, x^2 - x + 1 = 0  :=  by sorry
Source
https://huggingface.co/datasets/internlm/Lean-Workbook/blob/main/lean_workbook.json, record lean_workbook_18356; Apache-2.0

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