`BookProof.NavierStokesFlow.BilinearEsa.blockVec_mem_maxDom` (κ : J → ℝ) (v : lpFiniteModes (ℕ × J)) (j : J) : (blockVec ((v : L2I (ℕ × J))) j) ∈ maxDom (oscSymbol (κ j))

Proved

BookProof.NavierStokesFlow.BilinearEsa.blockVec_mem_maxDom

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

theoremstimepiece

Prove the following Lean 4 theorem from ChapterNavierStokesBilinearEsa.

BookProof.NavierStokesFlow.BilinearEsa.blockVec_mem_maxDom (κ : J → ℝ) (v : lpFiniteModes (ℕ × J)) (j : J) : (blockVec ((v : L2I (ℕ × J))) j) ∈ maxDom (oscSymbol (κ j))

Formalization note: Lean 4 identifier BookProof.NavierStokesFlow.BilinearEsa.blockVec_mem_maxDom.

Preamble

-- Generated from ChapterNavierStokesBilinearEsa.lean — theorem BookProof.NavierStokesFlow.BilinearEsa.blockVec_mem_maxDom
import Mathlib
import Definitions.Def_ChapterNavierStokesBilinearEsa
import Definitions.Def_ChapterNavierStokesEsa
import Definitions.Def_ChapterNavierStokesHermiteFarisLavine
import Definitions.Def_ChapterNavierStokesIkebeKato
import Definitions.Def_ChapterNavierStokesAffineFiberEsa
open BookProof.NavierStokesFlow
open BookProof.NavierStokesFlow
open BookProof.NavierStokesFlow
open BookProof.NavierStokesFlow.BilinearEsa


open scoped ENNReal



open LpNat BookProof.FarisLavine IkebeKato HermiteFarisLavine

variable {J : Type*}

Formal statement

theorem BookProof.NavierStokesFlow.BilinearEsa.blockVec_mem_maxDom (κ : J → ℝ) (v : lpFiniteModes (ℕ × J)) (j : J) :
    (blockVec ((v : L2I (ℕ × J))) j) ∈ maxDom (oscSymbol (κ j)) := by sorry

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