Evaluating a mixed monomial at reciprocal numbers

Proved

WorkbookSource.problem_3359

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

lean-workbooksource-checked

If $x = \frac34$ and $y = \frac43$ , find the value of $\frac12x^6y^7$ .

Source: InternLM Lean-Workbook, record lean_workbook_3359 (Apache-2.0). The complete source proposition and explicit variable declarations are preserved.

Preamble

import Mathlib
open Real Nat

Formal statement

theorem WorkbookSource.problem_3359 (x y : ℝ) (hx : x = 3/4) (hy : y = 4/3) : (1/2)*x^6*y^7 = 2/3  :=  by sorry

Source

https://huggingface.co/datasets/internlm/Lean-Workbook/blob/main/lean_workbook.json, record lean_workbook_3359; Apache-2.0

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