The Lean 4 theorem `sum_single_X` in the `ChapterQg3DGaugeEsa` chapter of the timepiece formalization
ProvedBookProof.Qg3DGaugeEsa.sum_single_Xtimepiece
The Lean 4 theorem sum_single_X in the ChapterQg3DGaugeEsa chapter of the timepiece formalization.
Preamble
-- Generated from ChapterQg3DGaugeEsa.lean — theorem BookProof.Qg3DGaugeEsa.sum_single_X 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.sum_single_X (c : Fin 84) :
∑ i : Fin 84, ((if i = c then (1 : ℝ) else 0 : ℝ) : ℂ) • (X i : MvPolynomial (Fin 84) ℂ)
= X c := by sorrySource