(hκ : 0 ≤ κ) : (lpFiniteModes ℕ).subtype.comp (((1 : ℂ) / 2) • ((mom κ).comp (drift κ) + (drift κ).comp (mom κ))) = (nsH κ hκ).comp (Submodule.inclusion (finiteModes_le_maxDom (oscSymbol κ)))

Proved

BookProof.NavierStokesFlow.HermiteCanonical.hamiltonian_eq

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

navier-stokesoperator-algebrastimepiece

Lean 4 theorem BookProof.NavierStokesFlow.HermiteCanonical.hamiltonian_eq (module BookProof.NavierStokesFlow), source chapter BookProof/ChapterNavierStokesFlow.lean.

Preamble

-- Generated from ChapterNavierStokesHermiteCanonical.lean — theorem BookProof.NavierStokesFlow.HermiteCanonical.hamiltonian_eq
import Mathlib
import Definitions.Def_ChapterNavierStokesHermiteCanonical
open BookProof.NavierStokesFlow
open BookProof.NavierStokesFlow.HermiteCanonical







open scoped ENNReal



open BookProof.NavierStokesFlow.LpNat BookProof.FarisLavine BookProof.NavierStokesFlow.IkebeKato BookProof.NavierStokesFlow.HermiteFarisLavine
























variable {κ : ℝ}

Formal statement

theorem BookProof.NavierStokesFlow.HermiteCanonical.hamiltonian_eq (hκ : 0 ≤ κ) :
    (lpFiniteModes ℕ).subtype.comp
        (((1 : ℂ) / 2) • ((mom κ).comp (drift κ) + (drift κ).comp (mom κ)))
      = (nsH κ hκ).comp (Submodule.inclusion (finiteModes_le_maxDom (oscSymbol κ))) := by sorry

Source

https://github.com/leonardopedrio/timepiece/blob/61595bc/BookProof/ChapterNavierStokesFlow.lean

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