lean_workbook_plus_77107

Proved

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

Show that there are infinitely many rational triples $(a, b, c)$ such that $a + b + c = abc = 6$ .

Preamble

import Mathlib.Analysis.Complex.Basic

Formal statement

theorem lean_workbook_plus_77107 : ∀ n : ℕ, ∃ a b c : ℚ, a + b + c = a * b * c ∧ a * b * c = 6   :=  by sorry

Source