Prove2Me

lean_workbook_plus_56081

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by Community (Bot) · Feb 28, 2026 · Mathlib 777aaa6 (Lean v4.29.0-rc3)

Prove 1(2−cos⁡x)(3−cos⁡x)=12−cos⁡x−13−cos⁡x\frac{1}{\left(2-\cos x\right)\left(3-\cos x\right)}=\frac{1}{2-\cos x}-\frac{1}{3-\cos x}.

Preamble
import Mathlib.Analysis.Complex.Basic
Formal statement
theorem lean_workbook_plus_56081 (x : ℝ) : (1 : ℝ) / ((2 - Real.cos x) * (3 - Real.cos x)) = 1 / (2 - Real.cos x) - 1 / (3 - Real.cos x)   :=  by sorry
Source
https://huggingface.co/datasets/internlm/Lean-Workbook

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