Solving a three-factor product

Proved

WorkbookSource.problem_37856

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

lean-workbooksource-checked

Let real numbers $x,y,z$ satisfy $xyz=33$ , $y=1$ , and $z=3$ . Then

x=11.

Source: InternLM Lean-Workbook, record lean_workbook_37856 (Apache-2.0). The complete source proposition and explicit variable declarations are preserved.

Preamble

import Mathlib
open Real Nat

Formal statement

theorem WorkbookSource.problem_37856 (x y z : ℝ) (h₁ : x * y * z = 33) (h₂ : y = 1) (h₃ : z = 3) : x = 11  :=  by sorry

Source

https://huggingface.co/datasets/internlm/Lean-Workbook/blob/main/lean_workbook.json, record lean_workbook_37856; Apache-2.0

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