lean_workbook_plus_50645

Disproved

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

Split the function using partial fractions as $\frac {x}{(x - 4)(x - 5)} = \frac {5}{x - 5} - \frac {1}{x - 4}$

Preamble

import Mathlib.Analysis.Complex.Basic

Formal statement

theorem lean_workbook_plus_50645 (x : ℝ) (hx : x ≠ 4 ∧ x ≠ 5) : x / (x - 4) / (x - 5) = 5 / (x - 5) - 1 / (x - 4)   :=  by sorry

Source