The complete zero set of a quadratic function

Proved

WorkbookSource.problem_49830

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

lean-workbooksource-checked

Find the solutions for $f(x)=0$ where $f(x)=x^2-2x$ .

Source: InternLM Lean-Workbook, record lean_workbook_49830 (Apache-2.0). The complete source proposition and explicit variable declarations are preserved.

Preamble

import Mathlib
open Real Nat

Formal statement

theorem WorkbookSource.problem_49830 (f : ℝ → ℝ) (x : ℝ) (f_def : f x = x^2 - 2*x) : f x = 0 ↔ x = 0 ∨ x = 2  :=  by sorry

Source

https://huggingface.co/datasets/internlm/Lean-Workbook/blob/main/lean_workbook.json, record lean_workbook_49830; Apache-2.0

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