{col : ℕ → (ℕ →₀ ℂ)} (hherm : IsHermCol col) (hpos : IsPosCol col) : ∃ (Dom : Submodule ℂ Fock) (A : Dom →ₗ[ℂ] Fock), IsPositiveSelfAdjointExtension (dGammaOp col) A

Proved

BookProof.FockSecondQuantization.dGamma_friedrichs_extension

by leonardopedro · Sep 12, 2026 · Mathlib 0df444a (Lean v4.33.1)

timepiece

Lean 4 theorem BookProof.FockSecondQuantization.dGamma_friedrichs_extension (module BookProof.FockSecondQuantization), source chapter BookProof/ChapterFockSecondQuantization.lean.

Preamble

-- Generated from ChapterFockSecondQuantization.lean — theorem BookProof.FockSecondQuantization.dGamma_friedrichs_extension
import Mathlib
import Definitions.Def_ChapterFockSecondQuantization
open BookProof.FockSecondQuantization







open BookProof.NavierStokesFlow BookProof.NavierStokesFlow.IkebeKato
open BookProof.FarisLavine BookProof.YangMillsFriedrichs
open BookProof.HermiteGalerkin BookProof.FriedrichsExtension
open BookProof.HashimotoShiftInvert

noncomputable section

Formal statement

theorem BookProof.FockSecondQuantization.dGamma_friedrichs_extension {col : ℕ → (ℕ →₀ ℂ)} (hherm : IsHermCol col)
    (hpos : IsPosCol col) :
    ∃ (Dom : Submodule ℂ Fock) (A : Dom →ₗ[ℂ] Fock),
      IsPositiveSelfAdjointExtension (dGammaOp col) A := by sorry

Source

https://github.com/leonardopedrio/timepiece/blob/61595bc/BookProof/ChapterFockSecondQuantization.lean

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