The Lean 4 theorem `qg3DDensity_densitized` in the `ChapterQuantumGravity3DGauge` chapter of the timepiece formalization
ProvedBookProof.QuantumGravity3DGauge.qg3DDensity_densitizedtimepiece
The Lean 4 theorem qg3DDensity_densitized in the ChapterQuantumGravity3DGauge chapter of the timepiece formalization.
Preamble
-- Generated from ChapterQuantumGravity3DGauge.lean — theorem BookProof.QuantumGravity3DGauge.qg3DDensity_densitized import Mathlib import Definitions.Def_ChapterQuantumGravity3DGauge open BookProof.QuantumGravity3DGauge open MeasureTheory Complex MvPolynomial Filter Topology open BookProof.HermiteProductCore BookProof.YangMillsHermite BookProof.YangMillsFriedrichs open BookProof.FarisLavine BookProof.FriedrichsExtension BookProof.HermiteGalerkin open BookProof.HashimotoShiftInvert BookProof.QuantumGravityDensitized noncomputable section
Formal statement
theorem BookProof.QuantumGravity3DGauge.qg3DDensity_densitized (e s p : ℝ) (he : 0 < e) :
qg3DDensity e s p = 1 / 16 * (s / densY e) ^ 2 - 1 / 24 * (p / densY e) ^ 2 := by sorrySource