A sum of three specified squares

Proved

WorkbookSource.problem_41120

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

lean-workbooksource-checked

For real numbers $a=14$ , $b=1$ , and $c=15$ ,

a^2+b^2+c^2=422.

Source: InternLM Lean-Workbook, record lean_workbook_41120 (Apache-2.0). The complete source proposition and explicit variable declarations are preserved.

Preamble

import Mathlib
open Real Nat

Formal statement

theorem WorkbookSource.problem_41120 (a b c : ℝ) (h₁ : a = 14) (h₂ : b = 1) (h₃ : c = 15) : a^2 + b^2 + c^2 = 422  :=  by sorry

Source

https://huggingface.co/datasets/internlm/Lean-Workbook/blob/main/lean_workbook.json, record lean_workbook_41120; Apache-2.0

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