`BookProof.NavierStokesFlow.MomentumPerturbation.exists_commForm_ne_zero` : ∃ x : maxDom linSymbol, commForm (pertHam linSymbol (eState 0) (eState 1)) (diagMax linSymbol) x ≠ 0

Proved

BookProof.NavierStokesFlow.MomentumPerturbation.exists_commForm_ne_zero

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

theoremstimepiece

Prove the following Lean 4 theorem from ChapterNavierStokesMomentumPerturbation.

BookProof.NavierStokesFlow.MomentumPerturbation.exists_commForm_ne_zero : ∃ x : maxDom linSymbol, commForm (pertHam linSymbol (eState 0) (eState 1)) (diagMax linSymbol) x ≠ 0

Formalization note: Lean 4 identifier BookProof.NavierStokesFlow.MomentumPerturbation.exists_commForm_ne_zero.

Preamble

-- Generated from ChapterNavierStokesMomentumPerturbation.lean — theorem BookProof.NavierStokesFlow.MomentumPerturbation.exists_commForm_ne_zero
import Mathlib
import Definitions.Def_ChapterNavierStokesMomentumPerturbation
import Definitions.Def_ChapterFarisLavineCore
import Definitions.Def_ChapterNavierStokesFockManyMode
import Definitions.Def_ChapterNavierStokesIkebeKato
import Definitions.Def_ChapterNavierStokesAffineFiberEsa
open BookProof.NavierStokesFlow.FockManyMode
open BookProof.NavierStokesFlow
open BookProof.NavierStokesFlow
open BookProof.NavierStokesFlow.MomentumPerturbation




open LpNat BookProof.FarisLavine IkebeKato

variable {ι : Type*}

Formal statement

theorem BookProof.NavierStokesFlow.MomentumPerturbation.exists_commForm_ne_zero :
    ∃ x : maxDom linSymbol,
      commForm (pertHam linSymbol (eState 0) (eState 1)) (diagMax linSymbol) x ≠ 0 := by sorry

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