`BookProof.ScalarDGamma.dense_fockSectorDom` (n : ℕ) : Dense ((fockSectorDom Hs ⊤ n : Submodule ℂ (fockSector Hs n)) : Set (fockSector Hs n))

Proved

BookProof.ScalarDGamma.dense_fockSectorDom

by leonardopedro · Oct 25, 2026 · Mathlib 0df444a (Lean v4.33.1)

theoremstimepiece

Prove the following Lean 4 theorem from ChapterScalarDGammaEsa.

BookProof.ScalarDGamma.dense_fockSectorDom (n : ℕ) : Dense ((fockSectorDom Hs ⊤ n : Submodule ℂ (fockSector Hs n)) : Set (fockSector Hs n))

Formalization note: Lean 4 identifier BookProof.ScalarDGamma.dense_fockSectorDom.

Preamble

-- Generated from ChapterScalarDGammaEsa.lean — theorem BookProof.ScalarDGamma.dense_fockSectorDom
import Definitions.Def_ChapterFarisLavine
import Mathlib
import Definitions.Def_ChapterScalarDGammaEsa
import Definitions.Def_ChapterGraphCoreTransfer
import Definitions.Def_ChapterTensorGraphCore
import Definitions.Def_ChapterSecondQuantizationCoreEsa
import Definitions.Def_ChapterGroupAverageEsa
import Definitions.Def_ChapterPermutationSectorEsa
import Definitions.Def_ChapterScalarDGammaEsa
open BookProof.GraphCore
open BookProof.TensorCore
open BookProof.ScalarDGamma



open scoped TensorProduct
open BookProof.FarisLavine BookProof.GraphCore BookProof.TensorCore
open BookProof.SecondQuantizationCore

noncomputable section

variable (Hs : IPSpace) (c : ℝ)

Formal statement

theorem BookProof.ScalarDGamma.dense_fockSectorDom (n : ℕ) :
    Dense ((fockSectorDom Hs ⊤ n : Submodule ℂ (fockSector Hs n)) :
      Set (fockSector Hs n)) := by sorry

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