(hκ : ∀ i, 0 ≤ κ i) (x : maxDom (fockSym κ)) : (fockH hκ x : L2I (Occ d)) = ∑ i, (ShiftData.shiftH (modeData hκ i) x : L2I (Occ d))

Proved

BookProof.NavierStokesFlow.FockManyMode.fockH_apply

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

navier-stokesoperator-algebrastimepiece

Lean 4 theorem BookProof.NavierStokesFlow.FockManyMode.fockH_apply (module BookProof.NavierStokesFlow), source chapter BookProof/ChapterNavierStokesFlow.lean.

Preamble

-- Generated from ChapterNavierStokesFockManyMode.lean — theorem BookProof.NavierStokesFlow.FockManyMode.fockH_apply
import Mathlib
import Definitions.Def_ChapterNavierStokesFockManyMode
open BookProof.NavierStokesFlow
open BookProof.NavierStokesFlow.FockManyMode










open scoped ENNReal



open BookProof.NavierStokesFlow.LpNat BookProof.FarisLavine BookProof.NavierStokesFlow.IkebeKato BookProof.NavierStokesFlow.ShiftHamiltonian


variable {d : ℕ} {κ : Fin d → ℝ}

Formal statement

theorem BookProof.NavierStokesFlow.FockManyMode.fockH_apply (hκ : ∀ i, 0 ≤ κ i) (x : maxDom (fockSym κ)) :
    (fockH hκ x : L2I (Occ d)) = ∑ i, (ShiftData.shiftH (modeData hκ i) x : L2I (Occ d)) := by sorry

Source

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

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