The Lean 4 theorem `rotConj_eq` in the `ChapterQuadraticRotationEsa` chapter of the timepiece formalization
ProvedBookProof.QuadraticRotation.rotConj_eqformalizationtimepiece
Formal statement of BookProof.QuadraticRotation.rotConj_eq from the timepiece Lean 4 formalization.
Preamble
-- Generated from ChapterQuadraticRotationEsa.lean — theorem BookProof.QuadraticRotation.rotConj_eq
import Definitions.Def_ChapterHermiteProductCore
import Definitions.Def_ChapterHermiteProductBasis
import Definitions.Def_ChapterFarisLavine
import Definitions.Def_ChapterNavierStokesDifferentialL2
import Definitions.Def_ChapterHyperbolicQuadraticEsa
import Mathlib
import Definitions.Def_ChapterQuadraticRotationEsa
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}Formal statement
theorem BookProof.QuadraticRotation.rotConj_eq (O : Matrix (Fin d) (Fin d) ℝ) (c : Fin d → ℝ) :
rotConj O c = O * Matrix.diagonal c * Oᵀ := by sorrySource