lean_workbook_plus_7177

Proved

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

If $(a,b,c)$ is a solution then $(k a, k b, k c)$ is also a solution

Preamble

import Mathlib.Analysis.Complex.Basic

Formal statement

theorem lean_workbook_plus_7177 {a b c : ℝ} (h : a^2 + b^2 = c^2) : ∃ k : ℝ, k^2 * a^2 + k^2 * b^2 = k^2 * c^2   :=  by sorry

Source