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`BookProof.ChapterLorentzTranslation.gamma_sq` (w : Fin 3 → ℝ) : gamma w ^ 2 = 1 + ∑ i, (w i) ^ 2

Proved
BookProof.ChapterLorentzTranslation.gamma_sq

by leonardopedro · Oct 9, 2026 · Mathlib 0df444a (Lean v4.33.1)

theoremstimepiece

Prove the following Lean 4 theorem from ChapterLorentzTranslation.

BookProof.ChapterLorentzTranslation.gamma_sq (w : Fin 3 → ℝ) : gamma w ^ 2 = 1 + ∑ i, (w i) ^ 2

Formalization note: Lean 4 identifier BookProof.ChapterLorentzTranslation.gamma_sq.

Preamble
-- Generated from ChapterLorentzTranslation.lean — theorem BookProof.ChapterLorentzTranslation.gamma_sq
import Mathlib
import Definitions.Def_ChapterLorentzTranslation
open BookProof.ChapterLorentzTranslation



open scoped BigOperators
Formal statement
theorem BookProof.ChapterLorentzTranslation.gamma_sq (w : Fin 3 → ℝ) : gamma w ^ 2 = 1 + ∑ i, (w i) ^ 2 := by sorry

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