`BookProof.VielbeinFock.vielbeinFockCore_dense` (d : ℕ) : Dense ((vielbeinFockCore d : Submodule ℂ (vielbeinFock d)) : Set (vielbeinFock d))

Proved

BookProof.VielbeinFock.vielbeinFockCore_dense

by leonardopedro · Oct 10, 2026 · Mathlib 0df444a (Lean v4.33.1)

theoremstimepiece

Prove the following Lean 4 theorem from ChapterVielbeinFiberFock.

BookProof.VielbeinFock.vielbeinFockCore_dense (d : ℕ) : Dense ((vielbeinFockCore d : Submodule ℂ (vielbeinFock d)) : Set (vielbeinFock d))

Formalization note: Lean 4 identifier BookProof.VielbeinFock.vielbeinFockCore_dense.

Preamble

-- Generated from ChapterVielbeinFiberFock.lean — theorem BookProof.VielbeinFock.vielbeinFockCore_dense
import Definitions.Def_ChapterStarobinskyPotential
import Definitions.Def_ChapterScalaronCoreEsa
import Definitions.Def_ChapterScalaronFockEsa
import Definitions.Def_ChapterDirectSumEsa
import Definitions.Def_ChapterStoneBridge
import Definitions.Def_ChapterEsaClosureCore
import Definitions.Def_ChapterFarisLavine
import Definitions.Def_ChapterSirkTrotterKato
import Mathlib
import Definitions.Def_ChapterVielbeinFiberFock
open BookProof.VielbeinFock


open Filter Topology MeasureTheory


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

noncomputable section

Formal statement

theorem BookProof.VielbeinFock.vielbeinFockCore_dense (d : ℕ) :
    Dense ((vielbeinFockCore d : Submodule ℂ (vielbeinFock d)) : Set (vielbeinFock d)) := by sorry

View graph