Prove2Me

A translated two-variable quadratic bound

Proved
WorkbookSource.problem_34707

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

lean-workbooksource-checked

For any real numbers a,ba,b,

a2+b2−4a−4b+8≥0.a^2+b^2-4a-4b+8\ge0.

Source: InternLM Lean-Workbook, record lean_workbook_34707 (Apache-2.0). The complete source proposition and explicit variable declarations are preserved.

Preamble
import Mathlib
open Real Nat
Formal statement
theorem WorkbookSource.problem_34707 (a b : ℝ) : a^2 + b^2 - 4*a - 4*b + 8 ≥ 0  :=  by sorry
Source
https://huggingface.co/datasets/internlm/Lean-Workbook/blob/main/lean_workbook.json, record lean_workbook_34707; Apache-2.0

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