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

-- Generated from ChapterHashimotoShiftInvert.lean — theorem BookProof.HashimotoShiftInvert.exists_isShiftInvert
import Definitions.Def_ChapterFarisLavine
import Definitions.Def_ChapterYangMillsFriedrichs
import Definitions.Def_ChapterYangMillsFriedrichsLimit
import Definitions.Def_ChapterHermiteGalerkinFriedrichs
import Mathlib
import Definitions.Def_ChapterHashimotoShiftInvert
import Definitions.Def_ChapterFarisLavineCore
import Definitions.Def_ChapterComplexShiftCore
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}



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

theorem BookProof.HashimotoShiftInvert.exists_isShiftInvert {A : Dom →ₗ[ℂ] F} (hpos : ∀ x : Dom, 0 ≤ quadForm A x)
    {γ : ℝ} (hγ : 0 < γ) (hsurj : Function.Surjective (shiftMap A γ)) :
    ∃ R : F →L[ℂ] F, IsShiftInvert A γ R := by sorry