`BookProof.ChapterGravityProjector.spatialProj_idempotent` (v : Fin 4 → ℝ) (hv : minkSq v = -1) : spatialProj v * spatialProj v = spatialProj v

Proved

BookProof.ChapterGravityProjector.spatialProj_idempotent

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

theoremstimepiece

Prove the following Lean 4 theorem from ChapterGravityProjector.

BookProof.ChapterGravityProjector.spatialProj_idempotent (v : Fin 4 → ℝ) (hv : minkSq v = -1) : spatialProj v * spatialProj v = spatialProj v

Formalization note: Lean 4 identifier BookProof.ChapterGravityProjector.spatialProj_idempotent.

Preamble

-- Generated from ChapterGravityProjector.lean — theorem BookProof.ChapterGravityProjector.spatialProj_idempotent
import Mathlib
import Definitions.Def_ChapterGravityProjector
open BookProof.ChapterGravityProjector



open Matrix
open scoped BigOperators

Formal statement

theorem BookProof.ChapterGravityProjector.spatialProj_idempotent (v : Fin 4 → ℝ) (hv : minkSq v = -1) :
    spatialProj v * spatialProj v = spatialProj v := by sorry

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