`BookProof.ScalaronFock.qgScalaronModeFock_symmetric` : SymmetricOn (modeFockCore a b M alpha Rc phi) (qgScalaronModeFockHamiltonian a b M alpha Rc phi)

-- Generated from ChapterScalaronFockEsa.lean — theorem BookProof.ScalaronFock.qgScalaronModeFock_symmetric
import Definitions.Def_ChapterStarobinskyPotential
import Definitions.Def_ChapterDirectSumEsa
import Definitions.Def_ChapterStoneBridge
import Definitions.Def_ChapterEsaClosureCore
import Definitions.Def_ChapterQuantumGravityDensitized
import Definitions.Def_ChapterSirkTrotterKato
import Mathlib
import Definitions.Def_ChapterScalaronFockEsa
import Definitions.Def_ChapterFarisLavine
import Definitions.Def_ChapterFarisLavineCore
import Definitions.Def_ChapterScalaronCoreEsa
open BookProof.FarisLavine
open BookProof.ScalaronEsa
open BookProof.ScalaronFock


open Filter Topology MeasureTheory SchwartzMap


open BookProof.FarisLavine BookProof.Starobinsky BookProof.ScalaronEsa
open BookProof.DirectSumEsa BookProof.StoneBridge BookProof.EsaClosure
open BookProof.QuantumGravityDensitized BookProof.ChapterStoneResolvent

noncomputable section

variable {E : ℕ → Type*} [∀ n, NormedAddCommGroup (E n)] [∀ n, InnerProductSpace ℝ (E n)]
  [∀ n, FiniteDimensional ℝ (E n)] [∀ n, MeasurableSpace (E n)] [∀ n, BorelSpace (E n)]
variable (a b : ℕ → ℕ → ℝ) (M alpha : ℝ) (Rc phi : ℕ → ℕ → ℝ)

theorem BookProof.ScalaronFock.qgScalaronModeFock_symmetric :
    SymmetricOn (modeFockCore a b M alpha Rc phi)
      (qgScalaronModeFockHamiltonian a b M alpha Rc phi) := by sorry