`BookProof.NavierStokesFlow.FullEsa.NSFullData.advection_isSymmetricDom` (i : Fin 3) : IsSymmetricDom (d.advection i)

Proved

BookProof.NavierStokesFlow.FullEsa.NSFullData.advection_isSymmetricDom

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

theoremstimepiece

Prove the following Lean 4 theorem from ChapterNavierStokesFullEsa.

BookProof.NavierStokesFlow.FullEsa.NSFullData.advection_isSymmetricDom (i : Fin 3) : IsSymmetricDom (d.advection i)

Formalization note: Lean 4 identifier BookProof.NavierStokesFlow.FullEsa.NSFullData.advection_isSymmetricDom.

Preamble

-- Generated from ChapterNavierStokesFullEsa.lean — theorem BookProof.NavierStokesFlow.FullEsa.NSFullData.advection_isSymmetricDom
import Mathlib
import Definitions.Def_ChapterNavierStokesFullEsa
import Definitions.Def_ChapterNavierStokesFlow
import Definitions.Def_ChapterSirkFinitePrecision
import Definitions.Def_ChapterNavierStokesAffineFiberEsa
open BookProof.SirkFinitePrecision
open BookProof.SirkFinitePrecision.CertInterval
open BookProof.NavierStokesFlow
open BookProof.NavierStokesFlow.FullEsa


open scoped ENNReal

variable {F : Type*} [NormedAddCommGroup F] [InnerProductSpace ℂ F]
variable {D : Submodule ℂ F}
variable (d : NSFullData F)

Formal statement

theorem BookProof.NavierStokesFlow.FullEsa.NSFullData.advection_isSymmetricDom (i : Fin 3) : IsSymmetricDom (d.advection i) := by sorry

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