`BookProof.NsLagrangianDet.ev_conjP` (y : DIdx K → ℝ) (p : MvPolynomial (DIdx K) ℂ) : ev y (conjP p) = (starRingEnd ℂ) (ev y p)

Proved

BookProof.NsLagrangianDet.ev_conjP

by leonardopedro · Oct 10, 2026 · Mathlib 0df444a (Lean v4.33.1)

theoremstimepiece

Prove the following Lean 4 theorem from ChapterNsLagrangianDetConvolution.

BookProof.NsLagrangianDet.ev_conjP (y : DIdx K → ℝ) (p : MvPolynomial (DIdx K) ℂ) : ev y (conjP p) = (starRingEnd ℂ) (ev y p)

Formalization note: Lean 4 identifier BookProof.NsLagrangianDet.ev_conjP.

Preamble

-- Generated from ChapterNsLagrangianDetConvolution.lean — theorem BookProof.NsLagrangianDet.ev_conjP
import Mathlib
import Definitions.Def_ChapterNsLagrangianDetConvolution
open BookProof.NsLagrangianDet



open MvPolynomial Matrix

noncomputable section

variable {K : Type*} [Fintype K]

Formal statement

theorem BookProof.NsLagrangianDet.ev_conjP (y : DIdx K → ℝ) (p : MvPolynomial (DIdx K) ℂ) :
    ev y (conjP p) = (starRingEnd ℂ) (ev y p) := by sorry

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