`BookProof.ChapterAbelianDiagonalCountable.diagOp_star` (d : EllInf) (f g : Ell2C) : (inner ℂ (diagOp d f) g : ℂ) = inner ℂ f (diagOp (star d) g)

Proved

BookProof.ChapterAbelianDiagonalCountable.diagOp_star

by leonardopedro · Oct 7, 2026 · Mathlib 0df444a (Lean v4.33.1)

theoremstimepiece

Prove the following Lean 4 theorem from ChapterAbelianDiagonalCountable.

BookProof.ChapterAbelianDiagonalCountable.diagOp_star (d : EllInf) (f g : Ell2C) : (inner ℂ (diagOp d f) g : ℂ) = inner ℂ f (diagOp (star d) g)

Formalization note: Lean 4 identifier BookProof.ChapterAbelianDiagonalCountable.diagOp_star.

Preamble

-- Generated from ChapterAbelianDiagonalCountable.lean — theorem BookProof.ChapterAbelianDiagonalCountable.diagOp_star
import Mathlib
import Definitions.Def_ChapterAbelianDiagonalCountable
open BookProof.ChapterAbelianDiagonalCountable


open scoped ENNReal

noncomputable section

Formal statement

theorem BookProof.ChapterAbelianDiagonalCountable.diagOp_star (d : EllInf) (f g : Ell2C) :
    (inner ℂ (diagOp d f) g : ℂ) = inner ℂ f (diagOp (star d) g) := by sorry

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