lean_workbook_plus_72830

Proved

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

Let $m,n,p,q \in \mathbb{R}$ such that $n \neq 0, q \neq 0$ and $n+q \neq 0$ . Then $\\frac{m}{n} = \\frac{p}{q} = r \Rightarrow \\frac{m+p}{n+q} = r$

Preamble

import Mathlib.Analysis.Complex.Basic

Formal statement

theorem lean_workbook_plus_72830  (m n p q r : ℝ)
  (h₀ : n ≠ 0 ∧ q ≠ 0 ∧ n + q ≠ 0)
  (h₁ : m / n = r)
  (h₂ : p / q = r) :
  (m + p) / (n + q) = r   :=  by sorry

Source

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

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