`BookProof.NavierStokesFlow.MomentumPerturbation.pertHam_symmetricOn` (c : ι → ℝ) (u w : L2I ι) : SymmetricOn (maxDom c) (pertHam c u w)

Proved

BookProof.NavierStokesFlow.MomentumPerturbation.pertHam_symmetricOn

by leonardopedro · Oct 9, 2026 · Mathlib 0df444a (Lean v4.33.1)

theoremstimepiece

Prove the following Lean 4 theorem from ChapterNavierStokesMomentumPerturbation.

BookProof.NavierStokesFlow.MomentumPerturbation.pertHam_symmetricOn (c : ι → ℝ) (u w : L2I ι) : SymmetricOn (maxDom c) (pertHam c u w)

Formalization note: Lean 4 identifier BookProof.NavierStokesFlow.MomentumPerturbation.pertHam_symmetricOn.

Preamble

-- Generated from ChapterNavierStokesMomentumPerturbation.lean — theorem BookProof.NavierStokesFlow.MomentumPerturbation.pertHam_symmetricOn
import Mathlib
import Definitions.Def_ChapterNavierStokesMomentumPerturbation
import Definitions.Def_ChapterFarisLavineCore
import Definitions.Def_ChapterNavierStokesIkebeKato
import Definitions.Def_ChapterNavierStokesAffineFiberEsa
open BookProof.NavierStokesFlow
open BookProof.NavierStokesFlow
open BookProof.NavierStokesFlow.MomentumPerturbation




open LpNat BookProof.FarisLavine IkebeKato

variable {ι : Type*}

Formal statement

theorem BookProof.NavierStokesFlow.MomentumPerturbation.pertHam_symmetricOn (c : ι → ℝ) (u w : L2I ι) :
    SymmetricOn (maxDom c) (pertHam c u w) := by sorry

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