The Lean 4 theorem `mulOp_symmetric` in the `ChapterUnboundedPosition` chapter of the timepiece formalization
ProvedBookProof.ChapterUnboundedPosition.mulOp_symmetricformalizationtimepiece
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 sorrySource