The Lean 4 theorem `norm_sum_P_le` in the `ChapterNavierStokesLagrangianKatoRellich` chapter of the timepiece formalization

-- Generated from ChapterNavierStokesLagrangianKatoRellich.lean — theorem BookProof.NavierStokesFlow.LagrangianKatoRellich.norm_sum_P_le
import Mathlib
import Definitions.Def_ChapterNavierStokesLagrangianKatoRellich
import Definitions.Def_ChapterSirkBandLedger
open BookProof.NavierStokesFlow
open BookProof.NavierStokesFlow.LagrangianKatoRellich
open Filter Topology
open BookProof.NavierStokesFlow.FullEsa BookProof.NavierStokesFlow.LagrangianEsa BookProof.FarisLavine
open BookProof.EsaClosure BookProof.HashimotoShiftInvert BookProof.HermiteGalerkin
variable {F : Type*} [NormedAddCommGroup F] [InnerProductSpace ℂ F]
variable (L : LagrangianFullData F)

theorem BookProof.NavierStokesFlow.LagrangianKatoRellich.norm_sum_P_le (v : L.D) {eps : ℝ} (heps : 0 < eps) :
    ∑ j : Fin 3, ‖(L.P j v : F)‖
      ≤ 3 * (eps * ‖(secondOrder L v : F)‖ + (1 / (2 * eps)) * ‖(v : F)‖) := by sorry