`BookProof.HermiteStrichartzQG.hermiteCoreOp_hermiteLp` (lam : ℕ → ℝ) (n : ℕ) : hermiteCoreOp lam ⟨hermiteLp n, hermiteLp_mem_hermiteCore n⟩ = ((lam n : ℂ)) • hermiteLp n

Proved

BookProof.HermiteStrichartzQG.hermiteCoreOp_hermiteLp

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

theoremstimepiece

Prove the following Lean 4 theorem from ChapterStrichartzHermiteQG.

BookProof.HermiteStrichartzQG.hermiteCoreOp_hermiteLp (lam : ℕ → ℝ) (n : ℕ) : hermiteCoreOp lam ⟨hermiteLp n, hermiteLp_mem_hermiteCore n⟩ = ((lam n : ℂ)) • hermiteLp n

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

Preamble

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



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

Formal statement

theorem BookProof.HermiteStrichartzQG.hermiteCoreOp_hermiteLp (lam : ℕ → ℝ) (n : ℕ) :
    hermiteCoreOp lam ⟨hermiteLp n, hermiteLp_mem_hermiteCore n⟩
      = ((lam n : ℂ)) • hermiteLp n := by sorry

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