The Lean 4 theorem `mulHamiltonian_not_bounded` in the `ChapterFarisLavine` chapter of the timepiece formalization
ProvedBookProof.FarisLavine.mulHamiltonian_not_boundedtimepiece
The Lean 4 theorem mulHamiltonian_not_bounded in the ChapterFarisLavine chapter of the timepiece formalization.
Preamble
-- Generated from ChapterFarisLavine.lean — theorem BookProof.FarisLavine.mulHamiltonian_not_bounded
import Mathlib
import Definitions.Def_ChapterFarisLavine
import Definitions.Def_ChapterNavierStokesFarisLavineLift
open BookProof.FarisLavine
variable {F : Type*} [NormedAddCommGroup F] [InnerProductSpace ℂ F]
variable {D : Submodule ℂ F}
open BookProof.NavierStokesFlow BookProof.NavierStokesFlow.LpNat
open scoped ENNRealFormal statement
theorem BookProof.FarisLavine.mulHamiltonian_not_bounded (lam : ℕ → ℝ) (hlam : ∀ C : ℝ, ∃ n, C < |lam n|) :
¬ ∃ C : ℝ, ∀ f : mulSymbolDomain lam, ‖mulHamiltonian lam f‖ ≤ C * ‖(f : L2Nat)‖ := by sorrySource