The Lean 4 theorem `shiftMap_injective` in the `ChapterHashimotoShiftInvert` chapter of the timepiece formalization
ProvedBookProof.HashimotoShiftInvert.shiftMap_injectivetimepiece
The Lean 4 theorem shiftMap_injective in the ChapterHashimotoShiftInvert chapter of the timepiece formalization.
Preamble
-- Generated from ChapterHashimotoShiftInvert.lean — theorem BookProof.HashimotoShiftInvert.shiftMap_injective
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}
open BookProof.FarisLavine BookProof.YangMillsFriedrichs BookProof.YangMillsFriedrichsLimit
open BookProof.HermiteGalerkin
open Filter TopologyFormal statement
theorem BookProof.HashimotoShiftInvert.shiftMap_injective {A : Dom →ₗ[ℂ] F} (hpos : ∀ x : Dom, 0 ≤ quadForm A x)
{γ : ℝ} (hγ : 0 < γ) : Function.Injective (shiftMap A γ) := by sorrySource