`BookProof.NavierStokesFlow.AffineBlock.affBlockH_domain_dense` : Dense ((lpFiniteModes (ℕ × J) : Submodule ℂ (L2I (ℕ × J))) : Set (L2I (ℕ × J)))

Proved

BookProof.NavierStokesFlow.AffineBlock.affBlockH_domain_dense

by leonardopedro · Oct 17, 2026 · Mathlib 0df444a (Lean v4.33.1)

theoremstimepiece

Prove the following Lean 4 theorem from ChapterNavierStokesAffineBlockEsa.

BookProof.NavierStokesFlow.AffineBlock.affBlockH_domain_dense : Dense ((lpFiniteModes (ℕ × J) : Submodule ℂ (L2I (ℕ × J))) : Set (L2I (ℕ × J)))

Formalization note: Lean 4 identifier BookProof.NavierStokesFlow.AffineBlock.affBlockH_domain_dense.

Preamble

-- Generated from ChapterNavierStokesAffineBlockEsa.lean — theorem BookProof.NavierStokesFlow.AffineBlock.affBlockH_domain_dense
import Mathlib
import Definitions.Def_ChapterNavierStokesAffineBlockEsa
import Definitions.Def_ChapterNavierStokesEsa
import Definitions.Def_ChapterNavierStokesIkebeKato
import Definitions.Def_ChapterNavierStokesAffineFiberEsa
open BookProof.NavierStokesFlow
open BookProof.NavierStokesFlow
open BookProof.NavierStokesFlow.AffineBlock


open scoped ENNReal



open LpNat BookProof.FarisLavine IkebeKato HermiteFarisLavine ShiftHamiltonian AffineFiber BilinearEsa

variable {J : Type*}

Formal statement

theorem BookProof.NavierStokesFlow.AffineBlock.affBlockH_domain_dense :
    Dense ((lpFiniteModes (ℕ × J) : Submodule ℂ (L2I (ℕ × J))) : Set (L2I (ℕ × J))) := by sorry

View graph