`BookProof.NavierStokesFlow.MomentumPerturbation.rankTwo_symmetric` (u w x y : L2I ι) : (inner ℂ (rankTwo u w x) y : ℂ) = inner ℂ x (rankTwo u w y)

Proved

BookProof.NavierStokesFlow.MomentumPerturbation.rankTwo_symmetric

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

theoremstimepiece

Prove the following Lean 4 theorem from ChapterNavierStokesMomentumPerturbation.

BookProof.NavierStokesFlow.MomentumPerturbation.rankTwo_symmetric (u w x y : L2I ι) : (inner ℂ (rankTwo u w x) y : ℂ) = inner ℂ x (rankTwo u w y)

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

Preamble

-- Generated from ChapterNavierStokesMomentumPerturbation.lean — theorem BookProof.NavierStokesFlow.MomentumPerturbation.rankTwo_symmetric
import Mathlib
import Definitions.Def_ChapterNavierStokesMomentumPerturbation
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.rankTwo_symmetric (u w x y : L2I ι) :
    (inner ℂ (rankTwo u w x) y : ℂ) = inner ℂ x (rankTwo u w y) := by sorry

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