`BookProof.BrstReducedTransfer.stoneTransfer_bijective` (t : ℝ) : Function.Bijective (stoneTransfer T Om hcomm t)
ProvedBookProof.BrstReducedTransfer.stoneTransfer_bijectivetheoremstimepiece
Prove the following Lean 4 theorem from ChapterBrstReducedTransfer.
BookProof.BrstReducedTransfer.stoneTransfer_bijective (t : ℝ) : Function.Bijective (stoneTransfer T Om hcomm t)
Formalization note: Lean 4 identifier BookProof.BrstReducedTransfer.stoneTransfer_bijective.
Preamble
-- Generated from ChapterBrstReducedTransfer.lean — theorem BookProof.BrstReducedTransfer.stoneTransfer_bijective
import Definitions.Def_ChapterSirkTrotterKato
import Mathlib
import Definitions.Def_ChapterBrstReducedTransfer
import Definitions.Def_ChapterStoneResolvent
import Definitions.Def_ChapterStoneUnitary
open BookProof.BrstReducedTransfer
open BookProof BookProof.ChapterStoneResolvent
variable {H : Type*} [NormedAddCommGroup H] [NormedSpace ℂ H]
variable (Om : H →L[ℂ] H)
variable {Om}
variable (Om)
variable (U : ℝ → (H →L[ℂ] H)) (hcomm : ∀ (t : ℝ) (y : H), U t (Om y) = Om (U t y))
variable {H : Type*} [NormedAddCommGroup H] [InnerProductSpace ℂ H] [CompleteSpace H]
variable (T : UnboundedSelfAdjoint H) (Om : H →L[ℂ] H)
variable (hcomm : ∀ (t : ℝ) (y : H), T.stoneU t (Om y) = Om (T.stoneU t y))Formal statement
theorem BookProof.BrstReducedTransfer.stoneTransfer_bijective (t : ℝ) : Function.Bijective (stoneTransfer T Om hcomm t) := by sorry