`BookProof.NavierStokesFlow.FullEsa.diagFullData_hamiltonian` (c : Fin 15 → ℕ → ℝ) (p : Fin 3 → ℕ → ℝ) (nu : ℝ) : (diagFullData c p nu).hamiltonian = diagOp (diagFullSymbol c p nu)

Proved

BookProof.NavierStokesFlow.FullEsa.diagFullData_hamiltonian

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

theoremstimepiece

Prove the following Lean 4 theorem from ChapterNavierStokesFullEsa.

BookProof.NavierStokesFlow.FullEsa.diagFullData_hamiltonian (c : Fin 15 → ℕ → ℝ) (p : Fin 3 → ℕ → ℝ) (nu : ℝ) : (diagFullData c p nu).hamiltonian = diagOp (diagFullSymbol c p nu)

Formalization note: Lean 4 identifier BookProof.NavierStokesFlow.FullEsa.diagFullData_hamiltonian.

Preamble

-- Generated from ChapterNavierStokesFullEsa.lean — theorem BookProof.NavierStokesFlow.FullEsa.diagFullData_hamiltonian
import Mathlib
import Definitions.Def_ChapterNavierStokesFullEsa
import Definitions.Def_ChapterAbelianDiagonalCountable
import Definitions.Def_ChapterNavierStokesDeficiency
import Definitions.Def_ChapterNavierStokesEsa
import Definitions.Def_ChapterNavierStokesFlow
import Definitions.Def_ChapterNavierStokesAffineFiberEsa
open BookProof.ChapterAbelianDiagonalCountable
open BookProof.NavierStokesFlow.DiagonalEsa
open BookProof.NavierStokesFlow.JacobiDeficiency
open BookProof.NavierStokesFlow.LpNat
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.diagFullData_hamiltonian (c : Fin 15 → ℕ → ℝ) (p : Fin 3 → ℕ → ℝ) (nu : ℝ) :
    (diagFullData c p nu).hamiltonian = diagOp (diagFullSymbol c p nu) := by sorry

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