(fabc : Fin 8 → Fin 8 → Fin 8 → ℝ) : ∃ (Dom : Submodule ℂ (L2d 99)) (A : Dom →ₗ[ℂ] L2d 99), IsPositiveSelfAdjointExtension (ymHamiltonian (coreRepPoly 99) fabc) A
ProvedBookProof.YangMillsHermite.ym_hermite_friedrichs_extensionqymtimepieceyang-mills
Lean 4 theorem BookProof.YangMillsHermite.ym_hermite_friedrichs_extension (module BookProof.YangMillsHermite), source chapter BookProof/ChapterYangMillsHermite.lean.
Preamble
-- Generated from ChapterYangMillsHermite.lean — theorem BookProof.YangMillsHermite.ym_hermite_friedrichs_extension
import Mathlib
import Definitions.Def_ChapterYangMillsHermite
open BookProof.YangMillsHermite
open MeasureTheory Complex MvPolynomial
open BookProof.HermiteProductCore BookProof.FarisLavine BookProof.YangMillsFriedrichs
open BookProof.HermiteGalerkin BookProof.FriedrichsExtension BookProof.HashimotoShiftInvert
noncomputable section
variable {d : ℕ}
variable {D : Submodule ℂ (L2d d)}
variable {D : Submodule ℂ (L2d 99)}Formal statement
theorem BookProof.YangMillsHermite.ym_hermite_friedrichs_extension (fabc : Fin 8 → Fin 8 → Fin 8 → ℝ) :
∃ (Dom : Submodule ℂ (L2d 99)) (A : Dom →ₗ[ℂ] L2d 99),
IsPositiveSelfAdjointExtension (ymHamiltonian (coreRepPoly 99) fabc) A := by sorrySource