Prove2Me

lean_workbook_plus_74925

Proved

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

Given (p−rq−s)=−1\left ( \frac{p-r}{q-s}\right)=-1, prove that ∣p−r∣=∣q−s∣|p-r|=|q-s|.

Preamble
import Mathlib.Analysis.Complex.Basic
Formal statement
theorem lean_workbook_plus_74925 (p q r s : ℝ) : ((p - r) / (q - s)) = -1 → |p - r| = |q - s|   :=  by sorry
Source
https://huggingface.co/datasets/internlm/Lean-Workbook

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