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`BookProof.ChapterGaugeUnconstrainedSpectrum.diagOp_basisVec` [DecidableEq X] (d : X → ℂ) (y : X) : diagOp d (basisVec y) = d y • basisVec y

Proved
BookProof.ChapterGaugeUnconstrainedSpectrum.diagOp_basisVec

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

theoremstimepiece

Prove the following Lean 4 theorem from ChapterGaugeUnconstrainedSpectrum.

BookProof.ChapterGaugeUnconstrainedSpectrum.diagOp_basisVec [DecidableEq X] (d : X → ℂ) (y : X) : diagOp d (basisVec y) = d y • basisVec y

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

Preamble
-- Generated from ChapterGaugeUnconstrainedSpectrum.lean — theorem BookProof.ChapterGaugeUnconstrainedSpectrum.diagOp_basisVec
import Mathlib
import Definitions.Def_ChapterGaugeUnconstrainedSpectrum
import Definitions.Def_ChapterAbelianDiagonalCountable
import Definitions.Def_ChapterE4
open BookProof.ChapterAbelianDiagonalCountable
open BookProof.ChapterE4
open BookProof.ChapterGaugeUnconstrainedSpectrum



variable {X : Type*}
Formal statement
theorem BookProof.ChapterGaugeUnconstrainedSpectrum.diagOp_basisVec [DecidableEq X] (d : X → ℂ) (y : X) :
    diagOp d (basisVec y) = d y • basisVec y := by sorry

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