`BookProof.ChapterA3.pauliCoeff_comb` (c : Fin 4 → ℂ) (μ : Fin 4) : pauliCoeff (∑ ν, c ν • pauliσ ν) μ = c μ

Proved

BookProof.ChapterA3.pauliCoeff_comb

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

theoremstimepiece

Prove the following Lean 4 theorem from ChapterA3h.

BookProof.ChapterA3.pauliCoeff_comb (c : Fin 4 → ℂ) (μ : Fin 4) : pauliCoeff (∑ ν, c ν • pauliσ ν) μ = c μ

Formalization note: Lean 4 identifier BookProof.ChapterA3.pauliCoeff_comb.

Preamble

-- Generated from ChapterA3h.lean — theorem BookProof.ChapterA3.pauliCoeff_comb
import Mathlib
import Definitions.Def_ChapterA3h
import Definitions.Def_ChapterA3
open BookProof.ChapterA3


open Matrix
open scoped ComplexConjugate

Formal statement

theorem BookProof.ChapterA3.pauliCoeff_comb (c : Fin 4 → ℂ) (μ : Fin 4) :
    pauliCoeff (∑ ν, c ν • pauliσ ν) μ = c μ := by sorry

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