(i : Fin d) {β : Occ d} (h : 2 ≤ β i) : modeShift i (dn i (dn i β)) = β

Proved

BookProof.NavierStokesFlow.FockCanonical.modeShift_dn_dn

by leonardopedro · Oct 2, 2026 · Mathlib 0df444a (Lean v4.33.1)

navier-stokesoperator-algebrastimepiece

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

Preamble

-- Generated from ChapterNavierStokesFockCanonical.lean — theorem BookProof.NavierStokesFlow.FockCanonical.modeShift_dn_dn
import Mathlib
import Definitions.Def_ChapterNavierStokesFockCanonical
import Definitions.Def_ChapterFockSecondQuantization
import Definitions.Def_ChapterNavierStokesFockManyMode
import Definitions.Def_ChapterNavierStokesAffineFiberEsa
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

Formal statement

theorem BookProof.NavierStokesFlow.FockCanonical.modeShift_dn_dn (i : Fin d) {β : Occ d} (h : 2 ≤ β i) :
    modeShift i (dn i (dn i β)) = β := by sorry

Source

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

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