`BookProof.ChapterLorentzTranslation.properTime_add` (w : Fin 3 → ℝ) (x0 y0 : ℝ) (xs ys : Fin 3 → ℝ) : properTime w (x0 + y0) (xs + ys) = properTime w x0 xs + properTime w y0 ys

Proved

BookProof.ChapterLorentzTranslation.properTime_add

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

theoremstimepiece

Prove the following Lean 4 theorem from ChapterLorentzTranslation.

BookProof.ChapterLorentzTranslation.properTime_add (w : Fin 3 → ℝ) (x0 y0 : ℝ) (xs ys : Fin 3 → ℝ) : properTime w (x0 + y0) (xs + ys) = properTime w x0 xs + properTime w y0 ys

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

Preamble

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



open scoped BigOperators

Formal statement

theorem BookProof.ChapterLorentzTranslation.properTime_add (w : Fin 3 → ℝ) (x0 y0 : ℝ) (xs ys : Fin 3 → ℝ) :
    properTime w (x0 + y0) (xs + ys) = properTime w x0 xs + properTime w y0 ys := by sorry

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