The Lean 4 theorem `idxE_injective` in the `ChapterQuantumGravity3DGauge` chapter of the timepiece formalization

Proved

BookProof.QuantumGravity3DGauge.idxE_injective

by leonardopedro · Sep 22, 2026 · Mathlib 0df444a (Lean v4.33.1)

timepiece

The Lean 4 theorem idxE_injective in the ChapterQuantumGravity3DGauge chapter of the timepiece formalization.

Preamble

-- Generated from ChapterQuantumGravity3DGauge.lean — theorem BookProof.QuantumGravity3DGauge.idxE_injective
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.idxE_injective : Function.Injective (fun q : Fin 4 × Fin 4 => idxE q.1 q.2) := by sorry

Source

https://github.com/leonardopedro/timepiece/blob/61595bc/BookProof/ChapterQuantumGravity3DGauge.lean

View graph