`BookProof.NavierStokesFlow.Carleman.halfLineFullData_hamiltonian` (c : Fin 15 → ℕ → ℝ) (nu : ℝ) : (halfLineFullData c nu).hamiltonian = tridiagOp (nsCoupling (halfLineSymbol c nu)

Proved

BookProof.NavierStokesFlow.Carleman.halfLineFullData_hamiltonian

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

theoremstimepiece

Prove the following Lean 4 theorem from ChapterNavierStokesCarleman.

BookProof.NavierStokesFlow.Carleman.halfLineFullData_hamiltonian (c : Fin 15 → ℕ → ℝ) (nu : ℝ) : (halfLineFullData c nu).hamiltonian = tridiagOp (nsCoupling (halfLineSymbol c nu))

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

Preamble

-- Generated from ChapterNavierStokesCarleman.lean — theorem BookProof.NavierStokesFlow.Carleman.halfLineFullData_hamiltonian
import Mathlib
import Definitions.Def_ChapterNavierStokesCarleman
import Definitions.Def_ChapterAbelianDiagonalCountable
import Definitions.Def_ChapterNavierStokesCanonicalVector
import Definitions.Def_ChapterNavierStokesDeficiency
import Definitions.Def_ChapterNavierStokesEsa
import Definitions.Def_ChapterNavierStokesFullEsa
import Definitions.Def_ChapterNavierStokesAffineFiberEsa
open BookProof.ChapterAbelianDiagonalCountable
open BookProof.NavierStokesFlow.CanonicalVector
open BookProof.NavierStokesFlow
open BookProof.NavierStokesFlow.JacobiDeficiency
open BookProof.NavierStokesFlow
open BookProof.NavierStokesFlow
open BookProof.NavierStokesFlow.FullEsa.NSFullData
open BookProof.NavierStokesFlow
open BookProof.NavierStokesFlow.Carleman


open scoped ENNReal



open LpNat DiagonalEsa FullEsa

Formal statement

theorem BookProof.NavierStokesFlow.Carleman.halfLineFullData_hamiltonian (c : Fin 15 → ℕ → ℝ) (nu : ℝ) :
    (halfLineFullData c nu).hamiltonian = tridiagOp (nsCoupling (halfLineSymbol c nu)) := by sorry

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