Prove2Me

(hκ : ∀ i, 0 ≤ κ i) : SymmetricOn (maxDom (fockSym κ)) (fockH hκ)

Proved
BookProof.NavierStokesFlow.FockManyMode.fockH_symmetricOn

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

navier-stokesoperator-algebrastimepiece

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

Preamble
-- Generated from ChapterNavierStokesFockManyMode.lean — theorem BookProof.NavierStokesFlow.FockManyMode.fockH_symmetricOn
import Mathlib
import Definitions.Def_ChapterNavierStokesFockManyMode
import Definitions.Def_ChapterDirectSumEsa
import Definitions.Def_ChapterFarisLavineCore
import Definitions.Def_ChapterNavierStokesIkebeKato
import Definitions.Def_ChapterNavierStokesShiftHamiltonian
import Definitions.Def_ChapterNavierStokesAffineFiberEsa
open BookProof.DirectSumEsa
open BookProof.NavierStokesFlow
open BookProof.NavierStokesFlow
open BookProof.NavierStokesFlow.ShiftHamiltonian.ShiftData
open BookProof.NavierStokesFlow
open BookProof.NavierStokesFlow.FockManyMode

variable {d : ℕ} {κ : Fin d → ℝ}


open scoped ENNReal



open LpNat BookProof.FarisLavine IkebeKato ShiftHamiltonian
Formal statement
theorem BookProof.NavierStokesFlow.FockManyMode.fockH_symmetricOn (hκ : ∀ i, 0 ≤ κ i) :
    SymmetricOn (maxDom (fockSym κ)) (fockH hκ) := by sorry
Source
https://github.com/leonardopedrio/timepiece/blob/61595bc/BookProof/ChapterNavierStokesFlow.lean

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