`BookProof.NavierStokesFlow.LagrangianEsa.diagLag_hasZeroDeficiencyOn` : diagLagUnbounded.hFull = diagOp (fun n => (1 / 2) * (n : ℝ) ^ 2)

Proved

BookProof.NavierStokesFlow.LagrangianEsa.diagLag_hasZeroDeficiencyOn

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

theoremstimepiece

Prove the following Lean 4 theorem from ChapterNavierStokesLagrangianEsa.

BookProof.NavierStokesFlow.LagrangianEsa.diagLag_hasZeroDeficiencyOn : diagLagUnbounded.hFull = diagOp (fun n => (1 / 2) * (n : ℝ) ^ 2)

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

Preamble

-- Generated from ChapterNavierStokesLagrangianEsa.lean — theorem BookProof.NavierStokesFlow.LagrangianEsa.diagLag_hasZeroDeficiencyOn
import Mathlib
import Definitions.Def_ChapterNavierStokesLagrangianEsa
import Definitions.Def_ChapterAbelianDiagonalCountable
import Definitions.Def_ChapterNavierStokesDeficiency
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.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.diagLag_hasZeroDeficiencyOn :
    diagLagUnbounded.hFull = diagOp (fun n => (1 / 2) * (n : ℝ) ^ 2) := by sorry

View graph