The Lean 4 theorem `ell2Example_symmetricOn` in the `ChapterHashimotoComplexShifts` chapter of the timepiece formalization

-- Generated from ChapterHashimotoComplexShifts.lean — theorem BookProof.HashimotoShiftInvert.ell2Example_symmetricOn
import Mathlib
import Definitions.Def_ChapterHashimotoComplexShifts
open BookProof.HashimotoShiftInvert


















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




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


















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




















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







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








open scoped ENNReal InnerProductSpace lp

theorem BookProof.HashimotoShiftInvert.ell2Example_symmetricOn :
    SymmetricOn (LinearMap.range (ell2ShiftInvert : ℓ²(ℕ, ℂ) →ₗ[ℂ] ℓ²(ℕ, ℂ)))
      ell2UnboundedExample := by sorry