`BookProof.ChapterWignerOrbitClassification.eq_zero_of_energy_zero` {p : Fin 4 → ℝ} (hmass : 0 ≤ minkSq p) (h0 : p 0 = 0) : ∀ i, p i = 0

Proved

BookProof.ChapterWignerOrbitClassification.eq_zero_of_energy_zero

by leonardopedro · Oct 10, 2026 · Mathlib 0df444a (Lean v4.33.1)

theoremstimepiece

Prove the following Lean 4 theorem from ChapterWignerOrbitClassification.

BookProof.ChapterWignerOrbitClassification.eq_zero_of_energy_zero {p : Fin 4 → ℝ} (hmass : 0 ≤ minkSq p) (h0 : p 0 = 0) : ∀ i, p i = 0

Formalization note: Lean 4 identifier BookProof.ChapterWignerOrbitClassification.eq_zero_of_energy_zero.

Preamble

-- Generated from ChapterWignerOrbitClassification.lean — theorem BookProof.ChapterWignerOrbitClassification.eq_zero_of_energy_zero
import Definitions.Def_ChapterWignerLittleGroup
import Definitions.Def_ChapterWignerLittleGroupOrbits
import Mathlib
import Definitions.Def_ChapterWignerOrbitClassification
import Definitions.Def_ChapterGravityProjector
open BookProof.ChapterGravityProjector
open BookProof.ChapterWignerOrbitClassification


open Matrix Complex


open BookProof.ChapterWignerLittleGroup BookProof.ChapterWignerLittleGroupOrbits

Formal statement

theorem BookProof.ChapterWignerOrbitClassification.eq_zero_of_energy_zero {p : Fin 4 → ℝ} (hmass : 0 ≤ minkSq p) (h0 : p 0 = 0) :
    ∀ i, p i = 0 := by sorry

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