`BookProof.NavierStokesFlow.Carleman.tridiag_hasZeroDeficiencyOn_of_carleman` (c : ℕ → ℂ) (hcar : ¬ Summable fun n => 1 / ‖c n‖) : HasZeroDeficiencyOn (lpFiniteModes ℕ) (tridiagOp

Proved

BookProof.NavierStokesFlow.Carleman.tridiag_hasZeroDeficiencyOn_of_carleman

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

theoremstimepiece

Prove the following Lean 4 theorem from ChapterNavierStokesCarleman.

BookProof.NavierStokesFlow.Carleman.tridiag_hasZeroDeficiencyOn_of_carleman (c : ℕ → ℂ) (hcar : ¬ Summable fun n => 1 / ‖c n‖) : HasZeroDeficiencyOn (lpFiniteModes ℕ) (tridiagOp c)

Formalization note: Lean 4 identifier BookProof.NavierStokesFlow.Carleman.tridiag_hasZeroDeficiencyOn_of_carleman.

Preamble

-- Generated from ChapterNavierStokesCarleman.lean — theorem BookProof.NavierStokesFlow.Carleman.tridiag_hasZeroDeficiencyOn_of_carleman
import Mathlib
import Definitions.Def_ChapterNavierStokesCarleman
import Definitions.Def_ChapterNavierStokesDeficiency
import Definitions.Def_ChapterNavierStokesEsa
import Definitions.Def_ChapterNavierStokesFlow
import Definitions.Def_ChapterNavierStokesAffineFiberEsa
open BookProof.NavierStokesFlow
open BookProof.NavierStokesFlow.JacobiDeficiency
open BookProof.NavierStokesFlow
open BookProof.NavierStokesFlow
open BookProof.NavierStokesFlow.Carleman


open scoped ENNReal



open LpNat DiagonalEsa FullEsa

Formal statement

theorem BookProof.NavierStokesFlow.Carleman.tridiag_hasZeroDeficiencyOn_of_carleman (c : ℕ → ℂ)
    (hcar : ¬ Summable fun n => 1 / ‖c n‖) :
    HasZeroDeficiencyOn (lpFiniteModes ℕ) (tridiagOp c) := by sorry

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