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(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

Proved
BookProof.YangMillsHermite.ym_hermite_friedrichs_extension

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

qymtimepieceyang-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 sorry
Source
https://github.com/leonardopedro/timepiece/blob/61595bc/BookProof/ChapterYangMillsHermite.lean

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