`BookProof.HermiteStrichartzQG.qg3D_symmetric` (xi : ℕ → Fin 3 → ℝ) (xiY V : ℕ → ℝ) : SymmetricOn hermiteCore (qg3DHermiteHamiltonian xi xiY V)

Proved

BookProof.HermiteStrichartzQG.qg3D_symmetric

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

theoremstimepiece

Prove the following Lean 4 theorem from ChapterStrichartzHermiteQG.

BookProof.HermiteStrichartzQG.qg3D_symmetric (xi : ℕ → Fin 3 → ℝ) (xiY V : ℕ → ℝ) : SymmetricOn hermiteCore (qg3DHermiteHamiltonian xi xiY V)

Formalization note: Lean 4 identifier BookProof.HermiteStrichartzQG.qg3D_symmetric.

Preamble

-- Generated from ChapterStrichartzHermiteQG.lean — theorem BookProof.HermiteStrichartzQG.qg3D_symmetric
import Definitions.Def_ChapterHermiteFunctions
import Definitions.Def_ChapterFarisLavine
import Definitions.Def_ChapterQuantumGravityDensitized
import Mathlib
import Definitions.Def_ChapterStrichartzHermiteQG
import Definitions.Def_ChapterFarisLavineCore
open BookProof.HermiteStrichartzQG



open MeasureTheory BookProof.HermiteCore BookProof.FarisLavine
open BookProof.QuantumGravityDensitized

Formal statement

theorem BookProof.HermiteStrichartzQG.qg3D_symmetric (xi : ℕ → Fin 3 → ℝ) (xiY V : ℕ → ℝ) :
    SymmetricOn hermiteCore (qg3DHermiteHamiltonian xi xiY V) := by sorry

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