`BookProof.NavierStokesFlow.JacobiDeficiency.jacobiOp_not_hasZeroDeficiencyOn` : ¬ HasZeroDeficiencyOn (lpFiniteModes ℕ) jacobiOp

Proved

BookProof.NavierStokesFlow.JacobiDeficiency.jacobiOp_not_hasZeroDeficiencyOn

by leonardopedro · Oct 11, 2026 · Mathlib 0df444a (Lean v4.33.1)

theoremstimepiece

Prove the following Lean 4 theorem from ChapterNavierStokesDeficiency.

BookProof.NavierStokesFlow.JacobiDeficiency.jacobiOp_not_hasZeroDeficiencyOn : ¬ HasZeroDeficiencyOn (lpFiniteModes ℕ) jacobiOp

Formalization note: Lean 4 identifier BookProof.NavierStokesFlow.JacobiDeficiency.jacobiOp_not_hasZeroDeficiencyOn.

Preamble

-- Generated from ChapterNavierStokesDeficiency.lean — theorem BookProof.NavierStokesFlow.JacobiDeficiency.jacobiOp_not_hasZeroDeficiencyOn
import Mathlib
import Definitions.Def_ChapterNavierStokesDeficiency
import Definitions.Def_ChapterNavierStokesEsa
import Definitions.Def_ChapterNavierStokesFlow
import Definitions.Def_ChapterNavierStokesAffineFiberEsa
open BookProof.NavierStokesFlow
open BookProof.NavierStokesFlow.JacobiDeficiency


open scoped ENNReal

Formal statement

theorem BookProof.NavierStokesFlow.JacobiDeficiency.jacobiOp_not_hasZeroDeficiencyOn :
    ¬ HasZeroDeficiencyOn (lpFiniteModes ℕ) jacobiOp := by sorry

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