lean_workbook_plus_10794

Proved

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

Case 2: Do you mean, find $\frac{1}{2a} +\frac{1}{2b}$ \nIf yes then, \n $\frac{1}{2a} +\frac{1}{2b} =\frac{1}{2} (\frac{1}{a} +\frac{1}{b}) => \frac{1}{2} (\frac{a+b}{ab})$ \nnow, $ab=\frac{7}{2}$ and $a+b=4$ \n $\frac{1}{2} (\frac{a+b}{ab}) =\boxed{\frac{4}{7}}$

Preamble

import Mathlib.Analysis.Complex.Basic

Formal statement

theorem lean_workbook_plus_10794  (a b : ℝ)
  (h₀ : a + b = 4)
  (h₁ : a * b = 7 / 2) :
  1 / (2 * a) + 1 / (2 * b) = 4 / 7   :=  by sorry

Source

https://huggingface.co/datasets/internlm/Lean-Workbook

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