`BookProof.NavierStokesFlow.Carleman.weyl_momOp_diagOp` (a : ℕ → ℝ) : momOp.comp (diagOp a) + (diagOp a).comp momOp = tridiagOp (nsCoupling a)

Proved

BookProof.NavierStokesFlow.Carleman.weyl_momOp_diagOp

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

theoremstimepiece

Prove the following Lean 4 theorem from ChapterNavierStokesCarleman.

BookProof.NavierStokesFlow.Carleman.weyl_momOp_diagOp (a : ℕ → ℝ) : momOp.comp (diagOp a) + (diagOp a).comp momOp = tridiagOp (nsCoupling a)

Formalization note: Lean 4 identifier BookProof.NavierStokesFlow.Carleman.weyl_momOp_diagOp.

Preamble

-- Generated from ChapterNavierStokesCarleman.lean — theorem BookProof.NavierStokesFlow.Carleman.weyl_momOp_diagOp
import Mathlib
import Definitions.Def_ChapterNavierStokesCarleman
import Definitions.Def_ChapterAbelianDiagonalCountable
import Definitions.Def_ChapterNavierStokesDeficiency
import Definitions.Def_ChapterNavierStokesDifferentialL2
import Definitions.Def_ChapterNavierStokesEsa
import Definitions.Def_ChapterNavierStokesAffineFiberEsa
open BookProof.ChapterAbelianDiagonalCountable
open BookProof.NavierStokesFlow
open BookProof.NavierStokesFlow.JacobiDeficiency
open BookProof.NavierStokesFlow
open BookProof.NavierStokesFlow.DifferentialL2
open BookProof.NavierStokesFlow
open BookProof.NavierStokesFlow.Carleman


open scoped ENNReal



open LpNat DiagonalEsa FullEsa

Formal statement

theorem BookProof.NavierStokesFlow.Carleman.weyl_momOp_diagOp (a : ℕ → ℝ) :
    momOp.comp (diagOp a) + (diagOp a).comp momOp = tridiagOp (nsCoupling a) := by sorry

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