The Lean 4 theorem `quadPolyMat_rotPoly` in the `ChapterQuadraticRotationEsa` chapter of the timepiece formalization

-- Generated from ChapterQuadraticRotationEsa.lean — theorem BookProof.QuadraticRotation.quadPolyMat_rotPoly
import Definitions.Def_ChapterHermiteProductCore
import Definitions.Def_ChapterHermiteProductBasis
import Definitions.Def_ChapterFarisLavine
import Mathlib
import Definitions.Def_ChapterQuadraticRotationEsa
import Definitions.Def_ChapterHyperbolicQuadraticEsa
import Definitions.Def_ChapterNavierStokesDifferentialL2
open BookProof.HyperbolicQuadratic
open BookProof.NavierStokesFlow.DifferentialL2
open BookProof.QuadraticRotation



open MeasureTheory MvPolynomial Matrix
open BookProof.HermiteProductCore BookProof.HermiteProductBasis
open BookProof.FarisLavine
open BookProof.NavierStokesFlow.DifferentialL2
open BookProof.HyperbolicQuadratic

noncomputable section

variable {d : ℕ}

theorem BookProof.QuadraticRotation.quadPolyMat_rotPoly {O : Matrix (Fin d) (Fin d) ℝ} (hO : Oᵀ * O = 1)
    (c : Fin d → ℝ) (p : MvPolynomial (Fin d) ℂ) :
    quadPolyMat (rotConj O c) (rotPoly O p) = rotPoly O (quadPoly c p) := by sorry