`BookProof.ChapterObservableOperator.bornProb_nonneg` (k : Fin m → EuclideanSpace ℂ (Fin n)) (q : EuclideanSpace ℂ (Fin n)) (j : Fin m) : 0 ≤ bornProb k q j

Proved

BookProof.ChapterObservableOperator.bornProb_nonneg

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

theoremstimepiece

Prove the following Lean 4 theorem from ChapterObservableOperator.

BookProof.ChapterObservableOperator.bornProb_nonneg (k : Fin m → EuclideanSpace ℂ (Fin n)) (q : EuclideanSpace ℂ (Fin n)) (j : Fin m) : 0 ≤ bornProb k q j

Formalization note: Lean 4 identifier BookProof.ChapterObservableOperator.bornProb_nonneg.

Preamble

-- Generated from ChapterObservableOperator.lean — theorem BookProof.ChapterObservableOperator.bornProb_nonneg
import Mathlib
import Definitions.Def_ChapterObservableOperator
import Definitions.Def_ChapterDoubleSlit
open BookProof.ChapterDoubleSlit
open BookProof.ChapterObservableOperator


open scoped BigOperators

noncomputable section


variable {n m : ℕ}

Formal statement

theorem BookProof.ChapterObservableOperator.bornProb_nonneg (k : Fin m → EuclideanSpace ℂ (Fin n))
    (q : EuclideanSpace ℂ (Fin n)) (j : Fin m) : 0 ≤ bornProb k q j := by sorry

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