`BookProof.ScalaronFock.modeFockCore_dense` : Dense ((modeFockCore a b M alpha Rc phi : Submodule ℂ modeFock) : Set modeFock)
ProvedBookProof.ScalaronFock.modeFockCore_densetheoremstimepiece
Prove the following Lean 4 theorem from ChapterScalaronFockEsa.
BookProof.ScalaronFock.modeFockCore_dense : Dense ((modeFockCore a b M alpha Rc phi : Submodule ℂ modeFock) : Set modeFock)
Formalization note: Lean 4 identifier BookProof.ScalaronFock.modeFockCore_dense.
Preamble
-- Generated from ChapterScalaronFockEsa.lean — theorem BookProof.ScalaronFock.modeFockCore_dense
import Definitions.Def_ChapterStarobinskyPotential
import Definitions.Def_ChapterDirectSumEsa
import Definitions.Def_ChapterStoneBridge
import Definitions.Def_ChapterEsaClosureCore
import Definitions.Def_ChapterSirkTrotterKato
import Mathlib
import Definitions.Def_ChapterScalaronFockEsa
import Definitions.Def_ChapterFarisLavine
import Definitions.Def_ChapterQuantumGravityDensitized
import Definitions.Def_ChapterScalaronCoreEsa
open BookProof.FarisLavine
open BookProof.QuantumGravityDensitized
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)Formal statement
theorem BookProof.ScalaronFock.modeFockCore_dense :
Dense ((modeFockCore a b M alpha Rc phi : Submodule ℂ modeFock) : Set modeFock) := by sorry