`BookProof.FullQuadratic.fqExch_hermitian` (P Q S : Fin d → Fin d → ℝ) (i j : Fin d) : (starRingEnd ℂ) (fqExch P Q S i j) = fqExch P Q S j i
ProvedBookProof.FullQuadratic.fqExch_hermitiantheoremstimepiece
Prove the following Lean 4 theorem from ChapterFullQuadraticEsa.
BookProof.FullQuadratic.fqExch_hermitian (P Q S : Fin d → Fin d → ℝ) (i j : Fin d) : (starRingEnd ℂ) (fqExch P Q S i j) = fqExch P Q S j i
Formalization note: Lean 4 identifier BookProof.FullQuadratic.fqExch_hermitian.
Preamble
-- Generated from ChapterFullQuadraticEsa.lean — theorem BookProof.FullQuadratic.fqExch_hermitian
import Definitions.Def_ChapterHermiteProductCore
import Definitions.Def_ChapterHermiteProductBasis
import Definitions.Def_ChapterFarisLavine
import Definitions.Def_ChapterHyperbolicQuadraticEsa
import Definitions.Def_ChapterNavierStokesDifferentialL2
import Definitions.Def_ChapterHermiteRelativeBound
import Definitions.Def_ChapterQuadratureEsa
import Definitions.Def_ChapterCarlemanTwoStep
import Definitions.Def_ChapterCarlemanSimplex
import Definitions.Def_ChapterModeQuadraticEsa
import Definitions.Def_ChapterStoneBridge
import Definitions.Def_ChapterEsaClosureCore
import Definitions.Def_ChapterSirkTrotterKato
import Mathlib
import Definitions.Def_ChapterFullQuadraticEsa
import Definitions.Def_ChapterGaussCoreQuadBounds
open BookProof.FullQuadratic
open Finset MeasureTheory MvPolynomial
open BookProof.HermiteProductCore BookProof.HermiteProductBasis
open BookProof.FarisLavine
open BookProof.HyperbolicQuadratic
open BookProof.NavierStokesFlow.DifferentialL2
open BookProof.HermiteRelative
open BookProof.QuadratureEsa
open BookProof.StoneBridge BookProof.EsaClosure BookProof.ChapterStoneResolvent
noncomputable section
variable {d : ℕ}Formal statement
theorem BookProof.FullQuadratic.fqExch_hermitian (P Q S : Fin d → Fin d → ℝ) (i j : Fin d) :
(starRingEnd ℂ) (fqExch P Q S i j) = fqExch P Q S j i := by sorry