The Lean 4 theorem `sum_single_block` in the `ChapterQgOuterFockEsa` chapter of the timepiece formalization
ProvedBookProof.QgOuterFock.sum_single_blocktimepiece
The Lean 4 theorem sum_single_block in the ChapterQgOuterFockEsa chapter of the timepiece formalization.
Preamble
-- Generated from ChapterQgOuterFockEsa.lean — theorem BookProof.QgOuterFock.sum_single_block import Mathlib import Definitions.Def_ChapterQgOuterFockEsa open BookProof.QgOuterFock 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.Qg3DGaugeEsa open BookProof.QgHermiteOscillator open BookProof.DirectSumEsa open BookProof.StoneBridge BookProof.EsaClosure BookProof.ChapterStoneResolvent noncomputable section
Formal statement
theorem BookProof.QgOuterFock.sum_single_block {n : ℕ} (p : Fin n) (c : Fin 84) :
∑ i : Fin 84, ((if i = c then (1 : ℝ) else 0 : ℝ) : ℂ)
• (X (pcoord p i) : MvPolynomial (Fin (n * 84)) ℂ) = X (pcoord p c) := by sorrySource