`BookProof.NavierStokesFlow.MomentumEsa.fockComparison_core` (n : ℕ → ℝ) (x : maxDom (fockSymbol n)) (ε : ℝ) (hε : 0 < ε) : ∃ y : maxDom (fockSymbol n), (y : L2I Config) ∈ lpFinite

Proved

BookProof.NavierStokesFlow.MomentumEsa.fockComparison_core

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

theoremstimepiece

Prove the following Lean 4 theorem from ChapterNavierStokesMomentumEsa.

BookProof.NavierStokesFlow.MomentumEsa.fockComparison_core (n : ℕ → ℝ) (x : maxDom (fockSymbol n)) (ε : ℝ) (hε : 0 < ε) : ∃ y : maxDom (fockSymbol n), (y : L2I Config) ∈ lpFiniteModes Config ∧ ‖(y : L2I Config) - (x : L2I Config)‖ < ε ∧ ‖diagMax (fockSymbol n) y - diagMax (fockSymbol n) x‖ < ε

Formalization note: Lean 4 identifier BookProof.NavierStokesFlow.MomentumEsa.fockComparison_core.

Preamble

-- Generated from ChapterNavierStokesMomentumEsa.lean — theorem BookProof.NavierStokesFlow.MomentumEsa.fockComparison_core
import Mathlib
import Definitions.Def_ChapterNavierStokesMomentumEsa
import Definitions.Def_ChapterNavierStokesEsa
import Definitions.Def_ChapterNavierStokesIkebeKato
import Definitions.Def_ChapterNavierStokesAffineFiberEsa
open BookProof.NavierStokesFlow
open BookProof.NavierStokesFlow
open BookProof.NavierStokesFlow.MomentumEsa




open LpNat BookProof.FarisLavine IkebeKato FarisLavineLift DiagonalEsa

variable {ι : Type*}

Formal statement

theorem BookProof.NavierStokesFlow.MomentumEsa.fockComparison_core (n : ℕ → ℝ) (x : maxDom (fockSymbol n)) (ε : ℝ) (hε : 0 < ε) :
    ∃ y : maxDom (fockSymbol n), (y : L2I Config) ∈ lpFiniteModes Config ∧
      ‖(y : L2I Config) - (x : L2I Config)‖ < ε ∧
        ‖diagMax (fockSymbol n) y - diagMax (fockSymbol n) x‖ < ε := by sorry

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