(hκ : ∀ i, 0 ≤ κ i) (i₀ : Fin d) (hpos : 0 < κ i₀) : commForm (fockH hκ) (diagMax (fockSym κ)) (testState κ i₀) ≠ 0

Proved

BookProof.NavierStokesFlow.FockManyMode.fock_commForm_ne_zero

by leonardopedro · Sep 29, 2026 · Mathlib 0df444a (Lean v4.33.1)

navier-stokesoperator-algebrastimepiece

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

Preamble

-- Generated from ChapterNavierStokesFockManyMode.lean — theorem BookProof.NavierStokesFlow.FockManyMode.fock_commForm_ne_zero
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.fock_commForm_ne_zero (hκ : ∀ i, 0 ≤ κ i) (i₀ : Fin d) (hpos : 0 < κ i₀) :
    commForm (fockH hκ) (diagMax (fockSym κ)) (testState κ i₀) ≠ 0 := by sorry

Source

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

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