The Lean 4 theorem `isShiftInvert_unique` in the `ChapterHashimotoShiftInvert` chapter of the timepiece formalization
ProvedBookProof.HashimotoShiftInvert.isShiftInvert_uniquetimepiece
The Lean 4 theorem isShiftInvert_unique in the ChapterHashimotoShiftInvert chapter of the timepiece formalization.
Preamble
-- Generated from ChapterHashimotoShiftInvert.lean — theorem BookProof.HashimotoShiftInvert.isShiftInvert_unique
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_ChapterAbelianDiagonalCountable
import Definitions.Def_ChapterStoneResolvent
import Definitions.Def_ChapterComplexShiftCore
open BookProof.ChapterAbelianDiagonalCountable
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 TopologyFormal statement
theorem BookProof.HashimotoShiftInvert.isShiftInvert_unique {A : Dom →ₗ[ℂ] F} {γ : ℝ} {R S : F →L[ℂ] F}
(hR : IsShiftInvert A γ R) (hS : IsShiftInvert A γ S) : R = S := by sorrySource