`BookProof.QgCouplingDGammaSum.dGammaOp_diagCol_essentiallySelfAdjoint` {lam : ℕ → ℝ} (hlam : ∀ k, 0 ≤ lam k) : EssentiallySelfAdjointOn (lpFiniteModes Conf) (dGammaOp (diagCol lam

Proved

BookProof.QgCouplingDGammaSum.dGammaOp_diagCol_essentiallySelfAdjoint

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

theoremstimepiece

Prove the following Lean 4 theorem from ChapterQgCouplingDGammaSum.

BookProof.QgCouplingDGammaSum.dGammaOp_diagCol_essentiallySelfAdjoint {lam : ℕ → ℝ} (hlam : ∀ k, 0 ≤ lam k) : EssentiallySelfAdjointOn (lpFiniteModes Conf) (dGammaOp (diagCol lam))

Formalization note: Lean 4 identifier BookProof.QgCouplingDGammaSum.dGammaOp_diagCol_essentiallySelfAdjoint.

Preamble

-- Generated from ChapterQgCouplingDGammaSum.lean — theorem BookProof.QgCouplingDGammaSum.dGammaOp_diagCol_essentiallySelfAdjoint
import Definitions.Def_ChapterNavierStokesAffineFiberEsa
import Definitions.Def_ChapterFarisLavine
import Definitions.Def_ChapterFriedrichsExtension
import Definitions.Def_ChapterYangMillsFriedrichs
import Mathlib
import Definitions.Def_ChapterQgCouplingDGammaSum
import Definitions.Def_ChapterFarisLavineCore
import Definitions.Def_ChapterFockOneParticleGap
import Definitions.Def_ChapterFockSecondQuantization
import Definitions.Def_ChapterNavierStokesEsa
import Definitions.Def_ChapterNavierStokesIkebeKato
open BookProof.FockOneParticleGap
open BookProof.FockSecondQuantization
open BookProof.NavierStokesFlow.IkebeKato
open BookProof.QgCouplingDGammaSum



open BookProof.FockSecondQuantization
open BookProof.NavierStokesFlow BookProof.NavierStokesFlow.IkebeKato
open BookProof.FarisLavine BookProof.FriedrichsExtension BookProof.YangMillsFriedrichs

noncomputable section

variable {ι : Type*}

Formal statement

theorem BookProof.QgCouplingDGammaSum.dGammaOp_diagCol_essentiallySelfAdjoint {lam : ℕ → ℝ} (hlam : ∀ k, 0 ≤ lam k) :
    EssentiallySelfAdjointOn (lpFiniteModes Conf) (dGammaOp (diagCol lam)) := by sorry

View graph