(i : Fin d) (hκ : 0 < κ i) : (mom κ i).comp (pos κ i) - (pos κ i).comp (mom κ i) = (-Complex.I) • LinearMap.id
ProvedBookProof.NavierStokesFlow.FockCanonical.comm_mom_posnavier-stokesoperator-algebrastimepiece
Lean 4 theorem BookProof.NavierStokesFlow.FockCanonical.comm_mom_pos (module BookProof.NavierStokesFlow), source chapter BookProof/ChapterNavierStokesFlow.lean.
Preamble
-- Generated from ChapterNavierStokesFockCanonical.lean — theorem BookProof.NavierStokesFlow.FockCanonical.comm_mom_pos
import Mathlib
import Definitions.Def_ChapterNavierStokesFockCanonical
import Definitions.Def_ChapterBosonicCCR
import Definitions.Def_ChapterNavierStokesCanonicalVector
import Definitions.Def_ChapterNavierStokesEsa
import Definitions.Def_ChapterNavierStokesFockManyMode
import Definitions.Def_ChapterNavierStokesAffineFiberEsa
open BookProof.Bosonic
open BookProof.NavierStokesFlow.CanonicalVector
open BookProof.NavierStokesFlow
open BookProof.NavierStokesFlow
open BookProof.NavierStokesFlow.FockCanonical
variable {d : ℕ} {κ : Fin d → ℝ}
open scoped ENNReal
open LpNat BookProof.FarisLavine IkebeKato ShiftHamiltonian FockManyMode HermiteCanonicalFormal statement
theorem BookProof.NavierStokesFlow.FockCanonical.comm_mom_pos (i : Fin d) (hκ : 0 < κ i) :
(mom κ i).comp (pos κ i) - (pos κ i).comp (mom κ i) = (-Complex.I) • LinearMap.id := by sorrySource