`BookProof.NavierStokesFlow.LagrangianEsa.latticeLagCLM_isSymmetric` (v : Fin 3 → LinfZ) (w : LinfZ) (fr : Fin 3 → ℝ) (nu : ℝ) : ((latticeLagCLM v w fr nu : L2Z →L[ℂ] L2Z) : L2Z →ₗ

Proved

BookProof.NavierStokesFlow.LagrangianEsa.latticeLagCLM_isSymmetric

by leonardopedro · Oct 11, 2026 · Mathlib 0df444a (Lean v4.33.1)

theoremstimepiece

Prove the following Lean 4 theorem from ChapterNavierStokesLagrangianEsa.

BookProof.NavierStokesFlow.LagrangianEsa.latticeLagCLM_isSymmetric (v : Fin 3 → LinfZ) (w : LinfZ) (fr : Fin 3 → ℝ) (nu : ℝ) : ((latticeLagCLM v w fr nu : L2Z →L[ℂ] L2Z) : L2Z →ₗ[ℂ] L2Z).IsSymmetric

Formalization note: Lean 4 identifier BookProof.NavierStokesFlow.LagrangianEsa.latticeLagCLM_isSymmetric.

Preamble

-- Generated from ChapterNavierStokesLagrangianEsa.lean — theorem BookProof.NavierStokesFlow.LagrangianEsa.latticeLagCLM_isSymmetric
import Mathlib
import Definitions.Def_ChapterNavierStokesLagrangianEsa
import Definitions.Def_ChapterContinuityUnitaryInfinite
import Definitions.Def_ChapterNavierStokesAffineFiberEsa
open BookProof.ChapterContinuityUnitaryInfinite
open BookProof.NavierStokesFlow
open BookProof.NavierStokesFlow.LagrangianEsa




open FullEsa

variable {F : Type*} [NormedAddCommGroup F] [InnerProductSpace ℂ F]
variable (L : LagrangianFullData F)
variable {F G : Type*} [NormedAddCommGroup F] [InnerProductSpace ℂ F]
  [NormedAddCommGroup G] [InnerProductSpace ℂ G]

Formal statement

theorem BookProof.NavierStokesFlow.LagrangianEsa.latticeLagCLM_isSymmetric (v : Fin 3 → LinfZ) (w : LinfZ) (fr : Fin 3 → ℝ) (nu : ℝ) :
    ((latticeLagCLM v w fr nu : L2Z →L[ℂ] L2Z) : L2Z →ₗ[ℂ] L2Z).IsSymmetric := by sorry

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