hasSum_commForm
ProvedBookProof.NavierStokesFlow.ShiftHamiltonian.ShiftData.hasSum_commFormformalizationtimepiece
Formal statement of BookProof.NavierStokesFlow.ShiftHamiltonian.ShiftData.hasSum_commForm from the timepiece Lean 4 formalization (source chapter BookProof/ChapterNavierStokesShiftHamiltonian.lean).
Preamble
-- Generated from ChapterNavierStokesShiftHamiltonian.lean — theorem BookProof.NavierStokesFlow.ShiftHamiltonian.ShiftData.hasSum_commForm
import Mathlib
import Definitions.Def_ChapterNavierStokesShiftHamiltonian
import Definitions.Def_ChapterFarisLavineCore
import Definitions.Def_ChapterNavierStokesHermiteFarisLavine
import Definitions.Def_ChapterNavierStokesIkebeKato
import Definitions.Def_ChapterStoneResolvent
import Definitions.Def_ChapterNavierStokesAffineFiberEsa
open BookProof.NavierStokesFlow.HermiteFarisLavine
open BookProof.NavierStokesFlow
open BookProof.NavierStokesFlow
open BookProof.NavierStokesFlow.ShiftHamiltonian
variable {ι : Type*} (S : ShiftData ι)
open scoped ENNReal
open LpNat BookProof.FarisLavine IkebeKatoFormal statement
theorem BookProof.NavierStokesFlow.ShiftHamiltonian.ShiftData.hasSum_commForm (x : maxDom S.sym) :
HasSum (fun β => 2 * S.step * (S.amp β
* ((starRingEnd ℂ) (((x : L2I ι) : ι → ℂ) β)
* ((x : L2I ι) : ι → ℂ) (S.shift β)).re))
(commForm (shiftH S) (diagMax S.sym) x) := by sorrySource