`BookProof.ChapterEulerComplexQuat.qbornProb_nonneg` (v : Fin n → ℍ[ℝ]) (k : Fin n) : 0 ≤ qbornProb v k

Proved

BookProof.ChapterEulerComplexQuat.qbornProb_nonneg

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

theoremstimepiece

Prove the following Lean 4 theorem from ChapterEulerComplexQuat.

BookProof.ChapterEulerComplexQuat.qbornProb_nonneg (v : Fin n → ℍ[ℝ]) (k : Fin n) : 0 ≤ qbornProb v k

Formalization note: Lean 4 identifier BookProof.ChapterEulerComplexQuat.qbornProb_nonneg.

Preamble

-- Generated from ChapterEulerComplexQuat.lean — theorem BookProof.ChapterEulerComplexQuat.qbornProb_nonneg
import Mathlib
import Definitions.Def_ChapterEulerComplexQuat
open BookProof.ChapterEulerComplexQuat


open scoped Quaternion BigOperators


variable {n : ℕ}

Formal statement

theorem BookProof.ChapterEulerComplexQuat.qbornProb_nonneg (v : Fin n → ℍ[ℝ]) (k : Fin n) : 0 ≤ qbornProb v k := by sorry

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