`BookProof.ChapterGleasonPureMixed.halfI_isMixed` : IsMixedState ((1/2 : ℝ) • (1 : Matrix (Fin 2) (Fin 2) ℝ))

Proved

BookProof.ChapterGleasonPureMixed.halfI_isMixed

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

theoremstimepiece

Prove the following Lean 4 theorem from ChapterGleasonPureMixed.

BookProof.ChapterGleasonPureMixed.halfI_isMixed : IsMixedState ((1/2 : ℝ) • (1 : Matrix (Fin 2) (Fin 2) ℝ))

Formalization note: Lean 4 identifier BookProof.ChapterGleasonPureMixed.halfI_isMixed.

Preamble

-- Generated from ChapterGleasonPureMixed.lean — theorem BookProof.ChapterGleasonPureMixed.halfI_isMixed
import Mathlib
import Definitions.Def_ChapterGleasonPureMixed
open BookProof.ChapterGleasonPureMixed


open scoped BigOperators
open Matrix

Formal statement

theorem BookProof.ChapterGleasonPureMixed.halfI_isMixed :
    IsMixedState ((1/2 : ℝ) • (1 : Matrix (Fin 2) (Fin 2) ℝ)) := by sorry

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