`BookProof.NavierStokesFlow.HermiteFarisLavine.nsH_symmetricOn` (hκ : 0 ≤ κ) : SymmetricOn (maxDom (oscSymbol κ)) (nsH κ hκ)

Proved

BookProof.NavierStokesFlow.HermiteFarisLavine.nsH_symmetricOn

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

theoremstimepiece

Prove the following Lean 4 theorem from ChapterNavierStokesHermiteFarisLavine.

BookProof.NavierStokesFlow.HermiteFarisLavine.nsH_symmetricOn (hκ : 0 ≤ κ) : SymmetricOn (maxDom (oscSymbol κ)) (nsH κ hκ)

Formalization note: Lean 4 identifier BookProof.NavierStokesFlow.HermiteFarisLavine.nsH_symmetricOn.

Preamble

-- Generated from ChapterNavierStokesHermiteFarisLavine.lean — theorem BookProof.NavierStokesFlow.HermiteFarisLavine.nsH_symmetricOn
import Mathlib
import Definitions.Def_ChapterNavierStokesHermiteFarisLavine
import Definitions.Def_ChapterFarisLavineCore
import Definitions.Def_ChapterNavierStokesIkebeKato
import Definitions.Def_ChapterNavierStokesAffineFiberEsa
open BookProof.NavierStokesFlow
open BookProof.NavierStokesFlow
open BookProof.NavierStokesFlow.HermiteFarisLavine


open scoped ENNReal



open LpNat BookProof.FarisLavine IkebeKato

variable {κ : ℝ}
variable {x : maxDom (oscSymbol κ)}

Formal statement

theorem BookProof.NavierStokesFlow.HermiteFarisLavine.nsH_symmetricOn (hκ : 0 ≤ κ) : SymmetricOn (maxDom (oscSymbol κ)) (nsH κ hκ) := by sorry

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