lean_workbook_plus_69810

Proved

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

If $a, b$ and $c$ are non-null reals satisfying $a ^ 2-b ^ 2 = bc$ and $b ^ 2-c ^ 2 = ac$ . Prove that $a ^ 2-c ^ 2 = ab$

Preamble

import Mathlib.Analysis.Complex.Basic

Formal statement

theorem lean_workbook_plus_69810 (a b c : ℝ) (ha : a ≠ 0) (hb : b ≠ 0) (hc : c ≠ 0) (hab : a ^ 2-b ^ 2 = b*c) (hbc : b ^ 2-c ^ 2 = a*c) : a ^ 2-c ^ 2 = a*b   :=  by sorry

Source

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

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