Prove2Me

`BookProof.ChapterUnitaryTransport.adjointDomain_mulOp` (f : ℤ → ℝ) : adjointDomain (mulDomain f) (mulOp f) = BookProof.ChapterUnboundedPosition.adjointDomain f

Proved
BookProof.ChapterUnitaryTransport.adjointDomain_mulOp

by leonardopedro · Oct 11, 2026 · Mathlib 0df444a (Lean v4.33.1)

theoremstimepiece

Prove the following Lean 4 theorem from ChapterUnitaryTransport.

BookProof.ChapterUnitaryTransport.adjointDomain_mulOp (f : ℤ → ℝ) : adjointDomain (mulDomain f) (mulOp f) = BookProof.ChapterUnboundedPosition.adjointDomain f

Formalization note: Lean 4 identifier BookProof.ChapterUnitaryTransport.adjointDomain_mulOp.

Preamble
-- Generated from ChapterUnitaryTransport.lean — theorem BookProof.ChapterUnitaryTransport.adjointDomain_mulOp
import Mathlib
import Definitions.Def_ChapterUnitaryTransport
import Definitions.Def_ChapterContinuityUnitaryInfinite
import Definitions.Def_ChapterF7
import Definitions.Def_ChapterUnboundedPosition
open BookProof.ChapterContinuityUnitaryInfinite
open BookProof.ChapterF7
open BookProof.ChapterUnboundedPosition
open BookProof.ChapterUnitaryTransport


open scoped InnerProductSpace


variable {H K : Type*} [NormedAddCommGroup H] [InnerProductSpace ℂ H]
  [NormedAddCommGroup K] [InnerProductSpace ℂ K]
Formal statement
theorem BookProof.ChapterUnitaryTransport.adjointDomain_mulOp (f : ℤ → ℝ) :
    adjointDomain (mulDomain f) (mulOp f) = BookProof.ChapterUnboundedPosition.adjointDomain f := by sorry

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