`BookProof.ChapterPauliGrover.pauliX_rotates` : pauliX 1 0 = 1 ∧ pauliX 0 0 = 0

Proved

BookProof.ChapterPauliGrover.pauliX_rotates

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

theoremstimepiece

Prove the following Lean 4 theorem from ChapterPauliGrover.

BookProof.ChapterPauliGrover.pauliX_rotates : pauliX 1 0 = 1 ∧ pauliX 0 0 = 0

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

Preamble

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


open scoped BigOperators Matrix ComplexConjugate
open Matrix
open BookProof.ChapterConditional

Formal statement

theorem BookProof.ChapterPauliGrover.pauliX_rotates : pauliX 1 0 = 1 ∧ pauliX 0 0 = 0 := by sorry

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