(i : Fin d) (x : lpFiniteModes (Occ d)) {β : Occ d} (h : β i < 2) : (((cre i (cre i x) : lpFiniteModes (Occ d)) : L2I (Occ d)) : Occ d → ℂ) β = 0

-- Generated from ChapterNavierStokesFockCanonical.lean — theorem BookProof.NavierStokesFlow.FockCanonical.cre_cre_coe_of_lt
import Mathlib
import Definitions.Def_ChapterNavierStokesFockCanonical
import Definitions.Def_ChapterBosonicCCR
import Definitions.Def_ChapterFockSecondQuantization
import Definitions.Def_ChapterNavierStokesEsa
import Definitions.Def_ChapterNavierStokesFockManyMode
import Definitions.Def_ChapterNavierStokesAffineFiberEsa
open BookProof.Bosonic
open BookProof.FockSecondQuantization
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 HermiteCanonical

theorem BookProof.NavierStokesFlow.FockCanonical.cre_cre_coe_of_lt (i : Fin d) (x : lpFiniteModes (Occ d)) {β : Occ d}
    (h : β i < 2) :
    (((cre i (cre i x) : lpFiniteModes (Occ d)) : L2I (Occ d)) : Occ d → ℂ) β = 0 := by sorry