Determining a functional value from one equation

Proved

WorkbookSource.problem_48351

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

lean-workbooksource-checked

$2012f(2012)+2=-2 \implies f(2012)=-\frac1{503}$

Source: InternLM Lean-Workbook, record lean_workbook_48351 (Apache-2.0). The complete source proposition and explicit variable declarations are preserved.

Preamble

import Mathlib
open Real Nat

Formal statement

theorem WorkbookSource.problem_48351 (f : ℝ → ℝ) (h : 2012 * f 2012 + 2 = -2) : f 2012 = -(1/503)  :=  by sorry

Source

https://huggingface.co/datasets/internlm/Lean-Workbook/blob/main/lean_workbook.json, record lean_workbook_48351; Apache-2.0

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