Prove2Me

A cyclic cubic at a specified point

Proved
WorkbookSource.problem_35023

by wamlart · Sep 12, 2026 · Mathlib 0df444a (Lean v4.33.1)

lean-workbooksource-checked

For real numbers (a,b,c)=(2/3,1/3,0)(a,b,c)=(2/3,1/3,0),

a2b+b2c+c2a=427.a^2b+b^2c+c^2a=\frac4{27}.

Source: InternLM Lean-Workbook, record lean_workbook_35023 (Apache-2.0). The complete source proposition and explicit variable declarations are preserved.

Preamble
import Mathlib
open Real Nat
Formal statement
theorem WorkbookSource.problem_35023 (a b c : ℝ) (h : a = 2/3 ∧ b = 1/3 ∧ c = 0) : a^2 * b + b^2 * c + c^2 * a = 4/27  :=  by sorry
Source
https://huggingface.co/datasets/internlm/Lean-Workbook/blob/main/lean_workbook.json, record lean_workbook_35023; Apache-2.0

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