A difference of two cubes

Proved

WorkbookSource.problem_5606

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

lean-workbooksource-checked

Find the value of $a^n - b^n$ given $a = 4$ , $b = 2$ , and $n = 3$

Source: InternLM Lean-Workbook, record lean_workbook_5606 (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_5606 (a b n : ℕ) (hab : a = 4 ∧ b = 2) (hn : n = 3) : a^n - b^n = 56  :=  by sorry

Source

https://huggingface.co/datasets/internlm/Lean-Workbook/blob/main/lean_workbook.json, record lean_workbook_5606; Apache-2.0

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