`BookProof.ChapterPauliGrover.pauliGrover_joint_one` : pJoint pauliX (0 : Fin 2) 1 = 1

Proved

BookProof.ChapterPauliGrover.pauliGrover_joint_one

by leonardopedro · Oct 10, 2026 · Mathlib 0df444a (Lean v4.33.1)

theoremstimepiece

Prove the following Lean 4 theorem from ChapterPauliGrover.

BookProof.ChapterPauliGrover.pauliGrover_joint_one : pJoint pauliX (0 : Fin 2) 1 = 1

Formalization note: Lean 4 identifier BookProof.ChapterPauliGrover.pauliGrover_joint_one.

Preamble

-- Generated from ChapterPauliGrover.lean — theorem BookProof.ChapterPauliGrover.pauliGrover_joint_one
import Mathlib
import Definitions.Def_ChapterPauliGrover
import Definitions.Def_ChapterConditional
open BookProof.ChapterConditional
open BookProof.ChapterPauliGrover


open scoped BigOperators Matrix ComplexConjugate
open Matrix
open BookProof.ChapterConditional

Formal statement

theorem BookProof.ChapterPauliGrover.pauliGrover_joint_one : pJoint pauliX (0 : Fin 2) 1 = 1 := by sorry

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