`BookProof.ChapterGravitySplit.spatialPart_add_timePart` (v x : Fin 4 → ℝ) : spatialPart v x + timePart v x = x

Proved

BookProof.ChapterGravitySplit.spatialPart_add_timePart

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

theoremstimepiece

Prove the following Lean 4 theorem from ChapterGravitySplit.

BookProof.ChapterGravitySplit.spatialPart_add_timePart (v x : Fin 4 → ℝ) : spatialPart v x + timePart v x = x

Formalization note: Lean 4 identifier BookProof.ChapterGravitySplit.spatialPart_add_timePart.

Preamble

-- Generated from ChapterGravitySplit.lean — theorem BookProof.ChapterGravitySplit.spatialPart_add_timePart
import Mathlib
import Definitions.Def_ChapterGravitySplit
import Definitions.Def_ChapterGravityProjector
import Definitions.Def_ChapterGravityTimeProj
open BookProof.ChapterGravityProjector
open BookProof.ChapterGravityTimeProj
open BookProof.ChapterGravitySplit



open Matrix
open scoped BigOperators
open BookProof.ChapterGravityProjector
open BookProof.ChapterGravityTimeProj

Formal statement

theorem BookProof.ChapterGravitySplit.spatialPart_add_timePart (v x : Fin 4 → ℝ) :
    spatialPart v x + timePart v x = x := by sorry

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