`BookProof.ChapterE2.bornProb_sum_eq_one` (θ : ℕ → ℝ) (n : ℕ) (hn : 1 ≤ n) : ∑ i : Fin n, bornProb θ n i = 1

Proved

BookProof.ChapterE2.bornProb_sum_eq_one

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

theoremstimepiece

Prove the following Lean 4 theorem from ChapterE2.

BookProof.ChapterE2.bornProb_sum_eq_one (θ : ℕ → ℝ) (n : ℕ) (hn : 1 ≤ n) : ∑ i : Fin n, bornProb θ n i = 1

Formalization note: Lean 4 identifier BookProof.ChapterE2.bornProb_sum_eq_one.

Preamble

-- Generated from ChapterE2.lean — theorem BookProof.ChapterE2.bornProb_sum_eq_one
import Mathlib
import Definitions.Def_ChapterE2
import Definitions.Def_ChapterDoubleSlit
open BookProof.ChapterDoubleSlit
open BookProof.ChapterE2


open scoped BigOperators
open Finset

Formal statement

theorem BookProof.ChapterE2.bornProb_sum_eq_one (θ : ℕ → ℝ) (n : ℕ) (hn : 1 ≤ n) :
    ∑ i : Fin n, bornProb θ n i = 1 := by sorry

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