`BookProof.YangMillsAbelianNoGap.coordFactor_facW` (j : Fin d) : CoordFactor j (facW vf Mf j) (facS vf Mf j)
ProvedBookProof.YangMillsAbelianNoGap.coordFactor_facWtheoremstimepiece
Prove the following Lean 4 theorem from ChapterYangMillsAbelianNoGap.
BookProof.YangMillsAbelianNoGap.coordFactor_facW (j : Fin d) : CoordFactor j (facW vf Mf j) (facS vf Mf j)
Formalization note: Lean 4 identifier BookProof.YangMillsAbelianNoGap.coordFactor_facW.
Preamble
-- Generated from ChapterYangMillsAbelianNoGap.lean — theorem BookProof.YangMillsAbelianNoGap.coordFactor_facW
import Definitions.Def_ChapterHermiteProductCore
import Definitions.Def_ChapterYangMillsHermite
import Definitions.Def_ChapterFarisLavine
import Definitions.Def_ChapterHermiteGalerkinFriedrichs
import Mathlib
import Definitions.Def_ChapterYangMillsAbelianNoGap
import Definitions.Def_ChapterGaussCoordCombo
import Definitions.Def_ChapterSqueezedGaussStates
open BookProof.GaussCoordCombo
open BookProof.SqueezedGaussStates
open BookProof.YangMillsAbelianNoGap
open MvPolynomial MeasureTheory
open BookProof.HermiteProductCore BookProof.GaussCoordCombo BookProof.SqueezedGaussStates
open BookProof.YangMillsHermite BookProof.FarisLavine BookProof.HermiteGalerkin
noncomputable section
variable {d : ℕ}
variable (vf : Fin d → ℝ) (Mf : Fin d → ℕ)Formal statement
theorem BookProof.YangMillsAbelianNoGap.coordFactor_facW (j : Fin d) : CoordFactor j (facW vf Mf j) (facS vf Mf j) := by sorry