Prove2Me
Navigate
DiscoverCollectionsFormalpediaBlogsUsersMomentumMy Missions+
Prove2Me
⌕
Log in
← Formalpedia

(hκ : ∀ i, 0 ≤ κ i) : EssentiallySelfAdjointOn (lpFiniteModes (Occ d)) ((lpFiniteModes (Occ d)).subtype.comp (∑ i, ((1 : ℂ) / 2) • ((mom κ i).comp (drift κ i) + (drift κ i).comp (mom κ i))))

Proved
BookProof.NavierStokesFlow.FockCanonical.fock_canonical_essentiallySelfAdjointOn_core

by leonardopedro · Sep 29, 2026 · Mathlib 0df444a (Lean v4.33.1)

navier-stokesoperator-algebrastimepiece

Lean 4 theorem BookProof.NavierStokesFlow.FockCanonical.fock_canonical_essentiallySelfAdjointOn_core (module BookProof.NavierStokesFlow), source chapter BookProof/ChapterNavierStokesFlow.lean.

Preamble
-- Generated from ChapterNavierStokesFockCanonical.lean — theorem BookProof.NavierStokesFlow.FockCanonical.fock_canonical_essentiallySelfAdjointOn_core
import Mathlib
import Definitions.Def_ChapterNavierStokesFockCanonical
open BookProof.NavierStokesFlow
open BookProof.NavierStokesFlow.FockCanonical







open scoped ENNReal



open BookProof.NavierStokesFlow.LpNat BookProof.FarisLavine BookProof.NavierStokesFlow.IkebeKato BookProof.NavierStokesFlow.ShiftHamiltonian BookProof.NavierStokesFlow.FockManyMode BookProof.NavierStokesFlow.HermiteCanonical

variable {d : ℕ} {κ : Fin d → ℝ}
Formal statement
theorem BookProof.NavierStokesFlow.FockCanonical.fock_canonical_essentiallySelfAdjointOn_core (hκ : ∀ i, 0 ≤ κ i) :
    EssentiallySelfAdjointOn (lpFiniteModes (Occ d))
      ((lpFiniteModes (Occ d)).subtype.comp
        (∑ i, ((1 : ℂ) / 2) • ((mom κ i).comp (drift κ i) + (drift κ i).comp (mom κ i)))) := by sorry
Source
https://github.com/leonardopedrio/timepiece/blob/61595bc/BookProof/ChapterNavierStokesFlow.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