`BookProof.ScalarDGamma.essentiallySelfAdjointOn_fockSectorDom_scalar` (n : ℕ) : EssentiallySelfAdjointOn (fockSectorDom Hs ⊤ n) (fockSectorOp Hs ⊤ (scalarOp Hs c) n)

Proved

BookProof.ScalarDGamma.essentiallySelfAdjointOn_fockSectorDom_scalar

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

theoremstimepiece

Prove the following Lean 4 theorem from ChapterScalarDGammaEsa.

BookProof.ScalarDGamma.essentiallySelfAdjointOn_fockSectorDom_scalar (n : ℕ) : EssentiallySelfAdjointOn (fockSectorDom Hs ⊤ n) (fockSectorOp Hs ⊤ (scalarOp Hs c) n)

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

Preamble

-- Generated from ChapterScalarDGammaEsa.lean — theorem BookProof.ScalarDGamma.essentiallySelfAdjointOn_fockSectorDom_scalar
import Definitions.Def_ChapterFarisLavine
import Definitions.Def_ChapterGraphCoreTransfer
import Mathlib
import Definitions.Def_ChapterScalarDGammaEsa
import Definitions.Def_ChapterFarisLavineCore
import Definitions.Def_ChapterTensorGraphCore
import Definitions.Def_ChapterSecondQuantizationCoreEsa
import Definitions.Def_ChapterPermutationSectorEsa
import Definitions.Def_ChapterScalarDGammaEsa
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.essentiallySelfAdjointOn_fockSectorDom_scalar (n : ℕ) :
    EssentiallySelfAdjointOn (fockSectorDom Hs ⊤ n) (fockSectorOp Hs ⊤ (scalarOp Hs c) n) := by sorry

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