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`BookProof.ChapterGaugeUnconstrainedSpectrum.diagOp_mul_comm` (d e : X → ℂ) : diagOp d ∘ₗ diagOp e = diagOp e ∘ₗ diagOp d

Proved
BookProof.ChapterGaugeUnconstrainedSpectrum.diagOp_mul_comm

by leonardopedro · Oct 8, 2026 · Mathlib 0df444a (Lean v4.33.1)

theoremstimepiece

Prove the following Lean 4 theorem from ChapterGaugeUnconstrainedSpectrum.

BookProof.ChapterGaugeUnconstrainedSpectrum.diagOp_mul_comm (d e : X → ℂ) : diagOp d ∘ₗ diagOp e = diagOp e ∘ₗ diagOp d

Formalization note: Lean 4 identifier BookProof.ChapterGaugeUnconstrainedSpectrum.diagOp_mul_comm.

Preamble
-- Generated from ChapterGaugeUnconstrainedSpectrum.lean — theorem BookProof.ChapterGaugeUnconstrainedSpectrum.diagOp_mul_comm
import Mathlib
import Definitions.Def_ChapterGaugeUnconstrainedSpectrum
import Definitions.Def_ChapterAbelianDiagonalCountable
open BookProof.ChapterAbelianDiagonalCountable
open BookProof.ChapterGaugeUnconstrainedSpectrum



variable {X : Type*}
Formal statement
theorem BookProof.ChapterGaugeUnconstrainedSpectrum.diagOp_mul_comm (d e : X → ℂ) :
    diagOp d ∘ₗ diagOp e = diagOp e ∘ₗ diagOp d := by sorry

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