: (cre - ann).comp (cre + ann) - (cre + ann).comp (cre - ann) = (-2 : ℂ) • LinearMap.id

Proved

BookProof.NavierStokesFlow.HermiteCanonical.bracket_DS

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

navier-stokesoperator-algebrastimepiece

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

Preamble

-- Generated from ChapterNavierStokesHermiteCanonical.lean — theorem BookProof.NavierStokesFlow.HermiteCanonical.bracket_DS
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.bracket_DS :
    (cre - ann).comp (cre + ann) - (cre + ann).comp (cre - ann) = (-2 : ℂ) • LinearMap.id := by sorry

Source

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

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