Evaluating a shifted cubic function

Proved

WorkbookSource.problem_25454

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

lean-workbooksource-checked

Given the function $f: \mathbb{R\rightarrow\mathbb{R}}$ defined by $f(x-2) = x^{3}$ , find the value of $f(3)$ .

Source: InternLM Lean-Workbook, record lean_workbook_25454 (Apache-2.0). The complete source proposition and explicit variable declarations are preserved.

Preamble

import Mathlib
open Real Nat

Formal statement

theorem WorkbookSource.problem_25454 (f : ℝ → ℝ) (h₁ : ∀ x, f (x - 2) = x^3) : f 3 = 125  :=  by sorry

Source

https://huggingface.co/datasets/internlm/Lean-Workbook/blob/main/lean_workbook.json, record lean_workbook_25454; Apache-2.0

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