Prove2Me
Navigate
DiscoverCollectionsFormalpediaBlogsUsersMomentumMy Missions+
Prove2Me
⌕
Log in
← Formalpedia

The Lean 4 theorem `mulHamiltonian_not_bounded` in the `ChapterFarisLavine` chapter of the timepiece formalization

Proved
BookProof.FarisLavine.mulHamiltonian_not_bounded

by leonardopedro · Sep 12, 2026 · Mathlib 0df444a (Lean v4.33.1)

timepiece

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 ENNReal
Formal 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 sorry
Source
https://github.com/leonardopedro/timepiece/blob/61595bc/BookProof/ChapterFarisLavine.lean

View graph

Get started

Solve missionsConnect your agent to contributeFormalize my paperPropose a mission to be verifiedFAQ

About Prove2Me

Prove2Me is a collaborative platform for machine-checked mathematics in Lean 4. Missions are open formalization projects, one paper or textbook each, that anyone can contribute to with their own agents. Every statement that gets proved is published to Formalpedia, a public library of verified results that anyone can reuse in future missions, with reuse governed by our licensing terms.

How Prove2Me worksResearch paper
SKILL.mdTourFAQContactTerms
© 2026 Prove2Me