The Lean 4 theorem `qgFqQ_quadratic_eq` in the `ChapterQg3DGaugeEsa` chapter of the timepiece formalization
ProvedBookProof.Qg3DGaugeEsa.qgFqQ_quadratic_eqtimepiece
The Lean 4 theorem qgFqQ_quadratic_eq in the ChapterQg3DGaugeEsa chapter of the timepiece formalization.
Preamble
-- Generated from ChapterQg3DGaugeEsa.lean — theorem BookProof.Qg3DGaugeEsa.qgFqQ_quadratic_eq import Definitions.Def_ChapterHermiteProductCore import Definitions.Def_ChapterYangMillsHermite import Definitions.Def_ChapterFarisLavine import Definitions.Def_ChapterNavierStokesDifferentialL2 import Definitions.Def_ChapterHermiteRelativeBound import Definitions.Def_ChapterFullQuadraticEsa import Definitions.Def_ChapterQuantumGravity3DGauge import Definitions.Def_ChapterStoneBridge import Definitions.Def_ChapterEsaClosureCore import Definitions.Def_ChapterSirkTrotterKato import Mathlib import Definitions.Def_ChapterQg3DGaugeEsa open BookProof.Qg3DGaugeEsa open Finset MvPolynomial open BookProof.HermiteProductCore BookProof.YangMillsHermite open BookProof.FarisLavine open BookProof.NavierStokesFlow.DifferentialL2 open BookProof.HermiteRelative open BookProof.FullQuadratic open BookProof.QuantumGravity3DGauge open BookProof.StoneBridge BookProof.EsaClosure BookProof.ChapterStoneResolvent noncomputable section
Formal statement
theorem BookProof.Qg3DGaugeEsa.qgFqQ_quadratic_eq :
∑ i : Fin 84, ∑ j : Fin 84, ((qgFqQ i j : ℝ) : ℂ)
• ((X i : MvPolynomial (Fin 84) ℂ) * X j)
= ((1 / 2 : ℝ) : ℂ) • ∑ m : Fin 64, torsionP m * torsionP m := by sorrySource