The Lean 4 theorem `ell2ExampleMatrix_unbounded` in the `ChapterHashimotoShiftInvert` chapter of the timepiece formalization

-- Generated from ChapterHashimotoShiftInvert.lean — theorem BookProof.HashimotoShiftInvert.ell2ExampleMatrix_unbounded
import Definitions.Def_ChapterFarisLavine
import Definitions.Def_ChapterYangMillsFriedrichs
import Definitions.Def_ChapterYangMillsFriedrichsLimit
import Mathlib
import Definitions.Def_ChapterHashimotoShiftInvert
import Definitions.Def_ChapterHermiteGalerkinFriedrichs
import Definitions.Def_ChapterQgOuterFockFarisLavine
import Definitions.Def_ChapterComplexShiftCore
open scoped lp
open BookProof.HermiteGalerkin
open BookProof.QgOuterFockFL
open BookProof.HashimotoShiftInvert

variable {F : Type*} [NormedAddCommGroup F] [InnerProductSpace ℂ F] {Dom : Submodule ℂ F}
variable {F : Type*} [NormedAddCommGroup F] [InnerProductSpace ℂ F] [CompleteSpace F]
  {Dom : Submodule ℂ F}
variable {F : Type*} [NormedAddCommGroup F] [InnerProductSpace ℂ F] [CompleteSpace F]



open BookProof.FarisLavine BookProof.YangMillsFriedrichs BookProof.YangMillsFriedrichsLimit
open BookProof.HermiteGalerkin
open Filter Topology

theorem BookProof.HashimotoShiftInvert.ell2ExampleMatrix_unbounded (C : ℝ) :
    ∃ x : finiteModeDomain ell2Basis, C * ‖(x : ℓ²(ℕ, ℂ))‖ < ‖ell2ExampleMatrix x‖ := by sorry