(x : maxDom 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 (hopH S) (diagMax sym) x)
ProvedBookProof.NavierStokesFlow.SignedShift.SignedHop.hasSum_commFormnavier-stokesoperator-algebrastimepiece
Lean 4 theorem BookProof.NavierStokesFlow.SignedShift.SignedHop.hasSum_commForm (module BookProof.NavierStokesFlow), source chapter BookProof/ChapterNavierStokesFlow.lean.
Preamble
-- Generated from ChapterNavierStokesSignedShift.lean — theorem BookProof.NavierStokesFlow.SignedShift.SignedHop.hasSum_commForm
import Mathlib
import Definitions.Def_ChapterNavierStokesSignedShift
open BookProof.NavierStokesFlow
open BookProof.NavierStokesFlow.SignedShift
open BookProof.NavierStokesFlow.LpNat BookProof.FarisLavine BookProof.NavierStokesFlow.IkebeKato BookProof.NavierStokesFlow.ShiftHamiltonian BookProof.NavierStokesFlow.AffineFiber
open BookProof.NavierStokesFlow.SignedShift.SignedHop
open scoped ENNReal
variable {ι : Type*}
variable {sym : ι → ℝ} (S : SignedHop ι sym)Formal statement
theorem BookProof.NavierStokesFlow.SignedShift.SignedHop.hasSum_commForm (x : maxDom 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 (hopH S) (diagMax sym) x) := by sorrySource