`BookProof.HermiteStrichartzQG.oscillatorOp_hermiteLp` (n : ℕ) : hermiteCoreOp oscillatorSymbol ⟨hermiteLp n, hermiteLp_mem_hermiteCore n⟩ = (((n : ℝ) + 1 / 2 : ℝ) : ℂ) • hermiteLp

Proved

BookProof.HermiteStrichartzQG.oscillatorOp_hermiteLp

by leonardopedro · Oct 11, 2026 · Mathlib 0df444a (Lean v4.33.1)

theoremstimepiece

Prove the following Lean 4 theorem from ChapterStrichartzHermiteQG.

BookProof.HermiteStrichartzQG.oscillatorOp_hermiteLp (n : ℕ) : hermiteCoreOp oscillatorSymbol ⟨hermiteLp n, hermiteLp_mem_hermiteCore n⟩ = (((n : ℝ) + 1 / 2 : ℝ) : ℂ) • hermiteLp n

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

Preamble

-- Generated from ChapterStrichartzHermiteQG.lean — theorem BookProof.HermiteStrichartzQG.oscillatorOp_hermiteLp
import Definitions.Def_ChapterFarisLavine
import Definitions.Def_ChapterQuantumGravityDensitized
import Mathlib
import Definitions.Def_ChapterStrichartzHermiteQG
import Definitions.Def_ChapterHermiteFunctions
import Theorems.Thm_BookProof_HermiteStrichartzQG_hermiteLp_mem_hermiteCore
open BookProof.HermiteCore
open BookProof.HermiteStrichartzQG



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

Formal statement

theorem BookProof.HermiteStrichartzQG.oscillatorOp_hermiteLp (n : ℕ) :
    hermiteCoreOp oscillatorSymbol ⟨hermiteLp n, hermiteLp_mem_hermiteCore n⟩
      = (((n : ℝ) + 1 / 2 : ℝ) : ℂ) • hermiteLp n := by sorry

View graph