`BookProof.ChapterLinftyMultiplication.multOp_comm` (φ ψ : α → ℂ) (hφ : MemLp φ ⊤ μ) (hψ : MemLp ψ ⊤ μ) : (multOp φ hφ).comp (multOp ψ hψ) = (multOp ψ hψ).comp (multOp φ hφ)
ProvedBookProof.ChapterLinftyMultiplication.multOp_commtheoremstimepiece
Prove the following Lean 4 theorem from ChapterLinftyMultiplication.
BookProof.ChapterLinftyMultiplication.multOp_comm (φ ψ : α → ℂ) (hφ : MemLp φ ⊤ μ) (hψ : MemLp ψ ⊤ μ) : (multOp φ hφ).comp (multOp ψ hψ) = (multOp ψ hψ).comp (multOp φ hφ)
Formalization note: Lean 4 identifier BookProof.ChapterLinftyMultiplication.multOp_comm.
Preamble
-- Generated from ChapterLinftyMultiplication.lean — theorem BookProof.ChapterLinftyMultiplication.multOp_comm
import Mathlib
import Definitions.Def_ChapterLinftyMultiplication
open BookProof.ChapterLinftyMultiplication
noncomputable section
open MeasureTheory ENNReal Complex
variable {α : Type*} [MeasurableSpace α] {μ : Measure α}Formal statement
theorem BookProof.ChapterLinftyMultiplication.multOp_comm (φ ψ : α → ℂ) (hφ : MemLp φ ⊤ μ) (hψ : MemLp ψ ⊤ μ) :
(multOp φ hφ).comp (multOp ψ hψ) = (multOp ψ hψ).comp (multOp φ hφ) := by sorry