The Lean 4 theorem `conj_polyEval` in the `ChapterQgHermiteFriedrichs` chapter of the timepiece formalization
ProvedBookProof.QgHermiteFriedrichs.conj_polyEvaltimepiece
The Lean 4 theorem conj_polyEval in the ChapterQgHermiteFriedrichs chapter of the timepiece formalization.
Preamble
-- Generated from ChapterQgHermiteFriedrichs.lean — theorem BookProof.QgHermiteFriedrichs.conj_polyEval
import Mathlib
import Definitions.Def_ChapterQgHermiteFriedrichs
import Definitions.Def_ChapterSirkBandLedger
open BookProof.QgHermiteFriedrichs
open MeasureTheory Complex MvPolynomial
open BookProof.HermiteProductCore BookProof.QgHermiteCore BookProof.Starobinsky
open BookProof.FarisLavine BookProof.YangMillsFriedrichs BookProof.FriedrichsExtension
noncomputable section
variable {d : ℕ}Formal statement
theorem BookProof.QgHermiteFriedrichs.conj_polyEval (p : MvPolynomial (Fin d) ℂ) (x : Vd d) :
(starRingEnd ℂ) (MvPolynomial.eval (fun i => ((x i : ℝ) : ℂ)) p)
= MvPolynomial.eval (fun i => ((x i : ℝ) : ℂ)) (cpoly p) := by sorrySource