lean_workbook_plus_31473

Proved

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

$P_1=\frac{1}{16}+\frac{15}{32}P_1\Rightarrow \frac{17}{32}P_1=\frac{1}{16}\Rightarrow P_1=\frac{2}{17}$ .

Preamble

import Mathlib.Analysis.Complex.Basic

Formal statement

theorem lean_workbook_plus_31473  (p₁ : ℝ)
  (h₀ : p₁ = 1 / 16 + 15 / 32 * p₁) :
  p₁ = 2 / 17   :=  by sorry

Source