`BookProof.ChapterLorentzTranslation.transPhase_add` (M : ℝ) (w : Fin 3 → ℝ) (x0 y0 : ℝ) (xs ys : Fin 3 → ℝ) : transPhase M w (x0 + y0) (xs + ys) = transPhase M w x0 xs * transPhas

Proved

BookProof.ChapterLorentzTranslation.transPhase_add

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

theoremstimepiece

Prove the following Lean 4 theorem from ChapterLorentzTranslation.

BookProof.ChapterLorentzTranslation.transPhase_add (M : ℝ) (w : Fin 3 → ℝ) (x0 y0 : ℝ) (xs ys : Fin 3 → ℝ) : transPhase M w (x0 + y0) (xs + ys) = transPhase M w x0 xs * transPhase M w y0 ys

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

Preamble

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



open scoped BigOperators

Formal statement

theorem BookProof.ChapterLorentzTranslation.transPhase_add (M : ℝ) (w : Fin 3 → ℝ) (x0 y0 : ℝ) (xs ys : Fin 3 → ℝ) :
    transPhase M w (x0 + y0) (xs + ys) = transPhase M w x0 xs * transPhase M w y0 ys := by sorry

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