(hκ : ∀ i, 0 ≤ κ i) : EssentiallySelfAdjointOn (lpFiniteModes (Occ d)) ((lpFiniteModes (Occ d)).subtype.comp (∑ i, ((1 : ℂ) / 2) • ((mom κ i).comp (drift κ i) + (drift κ i).comp (mom κ i))))
ProvedBookProof.NavierStokesFlow.FockCanonical.fock_canonical_essentiallySelfAdjointOn_corenavier-stokesoperator-algebrastimepiece
Lean 4 theorem BookProof.NavierStokesFlow.FockCanonical.fock_canonical_essentiallySelfAdjointOn_core (module BookProof.NavierStokesFlow), source chapter BookProof/ChapterNavierStokesFlow.lean.
Preamble
-- Generated from ChapterNavierStokesFockCanonical.lean — theorem BookProof.NavierStokesFlow.FockCanonical.fock_canonical_essentiallySelfAdjointOn_core
import Mathlib
import Definitions.Def_ChapterNavierStokesFockCanonical
open BookProof.NavierStokesFlow
open BookProof.NavierStokesFlow.FockCanonical
open scoped ENNReal
open BookProof.NavierStokesFlow.LpNat BookProof.FarisLavine BookProof.NavierStokesFlow.IkebeKato BookProof.NavierStokesFlow.ShiftHamiltonian BookProof.NavierStokesFlow.FockManyMode BookProof.NavierStokesFlow.HermiteCanonical
variable {d : ℕ} {κ : Fin d → ℝ}Formal statement
theorem BookProof.NavierStokesFlow.FockCanonical.fock_canonical_essentiallySelfAdjointOn_core (hκ : ∀ i, 0 ≤ κ i) :
EssentiallySelfAdjointOn (lpFiniteModes (Occ d))
((lpFiniteModes (Occ d)).subtype.comp
(∑ i, ((1 : ℂ) / 2) • ((mom κ i).comp (drift κ i) + (drift κ i).comp (mom κ i)))) := by sorrySource