`BookProof.ChapterWignerOrbitClassification.sameOrbit_of_zero` {p q : Fin 4 → ℝ} (hp : ∀ i, p i = 0) (hq : ∀ i, q i = 0) : SameOrbit p q

Proved

BookProof.ChapterWignerOrbitClassification.sameOrbit_of_zero

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

theoremstimepiece

Prove the following Lean 4 theorem from ChapterWignerOrbitClassification.

BookProof.ChapterWignerOrbitClassification.sameOrbit_of_zero {p q : Fin 4 → ℝ} (hp : ∀ i, p i = 0) (hq : ∀ i, q i = 0) : SameOrbit p q

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

Preamble

-- Generated from ChapterWignerOrbitClassification.lean — theorem BookProof.ChapterWignerOrbitClassification.sameOrbit_of_zero
import Definitions.Def_ChapterWignerLittleGroupOrbits
import Mathlib
import Definitions.Def_ChapterWignerOrbitClassification
import Definitions.Def_ChapterWignerLittleGroup
open BookProof.ChapterWignerLittleGroup
open BookProof.ChapterWignerOrbitClassification


open Matrix Complex


open BookProof.ChapterWignerLittleGroup BookProof.ChapterWignerLittleGroupOrbits

Formal statement

theorem BookProof.ChapterWignerOrbitClassification.sameOrbit_of_zero {p q : Fin 4 → ℝ} (hp : ∀ i, p i = 0) (hq : ∀ i, q i = 0) :
    SameOrbit p q := by sorry

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