`BookProof.NavierStokesFlow.MomentumPerturbation.pertHam_not_bounded` : ¬ ∃ C : ℝ, ∀ x : maxDom linSymbol, ‖pertHam linSymbol (eState 0) (eState 1) x‖ ≤ C * ‖(x : L2I ℕ)‖

Proved

BookProof.NavierStokesFlow.MomentumPerturbation.pertHam_not_bounded

by leonardopedro · Oct 9, 2026 · Mathlib 0df444a (Lean v4.33.1)

theoremstimepiece

Prove the following Lean 4 theorem from ChapterNavierStokesMomentumPerturbation.

BookProof.NavierStokesFlow.MomentumPerturbation.pertHam_not_bounded : ¬ ∃ C : ℝ, ∀ x : maxDom linSymbol, ‖pertHam linSymbol (eState 0) (eState 1) x‖ ≤ C * ‖(x : L2I ℕ)‖

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

Preamble

-- Generated from ChapterNavierStokesMomentumPerturbation.lean — theorem BookProof.NavierStokesFlow.MomentumPerturbation.pertHam_not_bounded
import Mathlib
import Definitions.Def_ChapterNavierStokesMomentumPerturbation
import Definitions.Def_ChapterNavierStokesIkebeKato
import Definitions.Def_ChapterNavierStokesAffineFiberEsa
open BookProof.NavierStokesFlow
open BookProof.NavierStokesFlow
open BookProof.NavierStokesFlow.MomentumPerturbation




open LpNat BookProof.FarisLavine IkebeKato

variable {ι : Type*}

Formal statement

theorem BookProof.NavierStokesFlow.MomentumPerturbation.pertHam_not_bounded :
    ¬ ∃ C : ℝ, ∀ x : maxDom linSymbol,
      ‖pertHam linSymbol (eState 0) (eState 1) x‖ ≤ C * ‖(x : L2I ℕ)‖ := by sorry

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