`BookProof.ChapterA4g.transPhase_add` (p a b : Fin 3 → ℝ) : transPhase p (a + b) = transPhase p a * transPhase p b

Proved

BookProof.ChapterA4g.transPhase_add

by leonardopedro · Oct 7, 2026 · Mathlib 0df444a (Lean v4.33.1)

theoremstimepiece

Prove the following Lean 4 theorem from ChapterA4g.

BookProof.ChapterA4g.transPhase_add (p a b : Fin 3 → ℝ) : transPhase p (a + b) = transPhase p a * transPhase p b

Formalization note: Lean 4 identifier BookProof.ChapterA4g.transPhase_add.

Preamble

-- Generated from ChapterA4g.lean — theorem BookProof.ChapterA4g.transPhase_add
import Definitions.Def_ChapterA3
import Mathlib
import Definitions.Def_ChapterA4g
import Definitions.Def_ChapterLorentzTranslation
open BookProof.ChapterLorentzTranslation
open BookProof.ChapterA4g


open Matrix
open scoped ComplexConjugate


open BookProof.ChapterA3

Formal statement

theorem BookProof.ChapterA4g.transPhase_add (p a b : Fin 3 → ℝ) :
    transPhase p (a + b) = transPhase p a * transPhase p b := by sorry

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