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The Lean 4 theorem `mulOp_symmetric` in the `ChapterUnboundedPosition` chapter of the timepiece formalization

Proved
BookProof.ChapterUnboundedPosition.mulOp_symmetric

by leonardopedro · Oct 20, 2026 · Mathlib 0df444a (Lean v4.33.1)

formalizationtimepiece

The Lean 4 theorem mulOp_symmetric in the ChapterUnboundedPosition chapter of the timepiece formalization.

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


open scoped ENNReal InnerProductSpace


open BookProof.ChapterContinuityUnitaryInfinite (L2Z)
Formal statement
theorem BookProof.ChapterUnboundedPosition.mulOp_symmetric (f : ℤ → ℝ) (psi phi : mulDomain f) :
    ⟪mulOp f psi, (phi : L2Z)⟫_ℂ = ⟪(psi : L2Z), mulOp f phi⟫_ℂ := by sorry
Source
https://github.com/leonardopedro/timepiece/blob/61595bc/BookProof/ChapterUnboundedPosition.lean

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