`BookProof.ChapterLinftyMultiplication.multOp_one` : multOp (fun _ : α => (1 : ℂ)) memLp_top_one = ContinuousLinearMap.id ℂ (Lp ℂ 2 μ)

Proved

BookProof.ChapterLinftyMultiplication.multOp_one

by leonardopedro · Oct 9, 2026 · Mathlib 0df444a (Lean v4.33.1)

theoremstimepiece

Prove the following Lean 4 theorem from ChapterLinftyMultiplication.

BookProof.ChapterLinftyMultiplication.multOp_one : multOp (fun _ : α => (1 : ℂ)) memLp_top_one = ContinuousLinearMap.id ℂ (Lp ℂ 2 μ)

Formalization note: Lean 4 identifier BookProof.ChapterLinftyMultiplication.multOp_one.

Preamble

-- Generated from ChapterLinftyMultiplication.lean — theorem BookProof.ChapterLinftyMultiplication.multOp_one
import Mathlib
import Definitions.Def_ChapterLinftyMultiplication
import Theorems.Thm_BookProof_ChapterLinftyMultiplication_memLp_top_one
open BookProof.ChapterLinftyMultiplication


noncomputable section

open MeasureTheory ENNReal Complex


variable {α : Type*} [MeasurableSpace α] {μ : Measure α}

Formal statement

theorem BookProof.ChapterLinftyMultiplication.multOp_one : multOp (fun _ : α => (1 : ℂ)) memLp_top_one
    = ContinuousLinearMap.id ℂ (Lp ℂ 2 μ) := by sorry

View graph