`BookProof.ChapterLorentzTranslation.transPhase_rest` (M : ℝ) (x0 : ℝ) (xs : Fin 3 → ℝ) : transPhase M (fun _ => 0) x0 xs = Complex.exp (Complex.I * (M : ℂ) * (x0 : ℂ))

Proved

BookProof.ChapterLorentzTranslation.transPhase_rest

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

theoremstimepiece

Prove the following Lean 4 theorem from ChapterLorentzTranslation.

BookProof.ChapterLorentzTranslation.transPhase_rest (M : ℝ) (x0 : ℝ) (xs : Fin 3 → ℝ) : transPhase M (fun _ => 0) x0 xs = Complex.exp (Complex.I * (M : ℂ) * (x0 : ℂ))

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

Preamble

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



open scoped BigOperators

Formal statement

theorem BookProof.ChapterLorentzTranslation.transPhase_rest (M : ℝ) (x0 : ℝ) (xs : Fin 3 → ℝ) :
    transPhase M (fun _ => 0) x0 xs = Complex.exp (Complex.I * (M : ℂ) * (x0 : ℂ)) := by sorry

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