`BookProof.ChapterB4.mixed_state_not_pure` : ¬ IsPureState ((1 / 2 : ℝ) • (1 : Matrix (Fin 2) (Fin 2) ℝ))

Proved

BookProof.ChapterB4.mixed_state_not_pure

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

theoremstimepiece

Prove the following Lean 4 theorem from ChapterB4.

BookProof.ChapterB4.mixed_state_not_pure : ¬ IsPureState ((1 / 2 : ℝ) • (1 : Matrix (Fin 2) (Fin 2) ℝ))

Formalization note: Lean 4 identifier BookProof.ChapterB4.mixed_state_not_pure.

Preamble

-- Generated from ChapterB4.lean — theorem BookProof.ChapterB4.mixed_state_not_pure
import Mathlib
import Definitions.Def_ChapterB4
open BookProof.ChapterB4



open Matrix

noncomputable section

Formal statement

theorem BookProof.ChapterB4.mixed_state_not_pure :
    ¬ IsPureState ((1 / 2 : ℝ) • (1 : Matrix (Fin 2) (Fin 2) ℝ)) := by sorry

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