`BookProof.ChapterEulerNState.eulerWave_sq` (θ : ℕ → ℝ) (n k : ℕ) : (eulerWave θ n k) ^ 2 = bornProb θ n k

Proved

BookProof.ChapterEulerNState.eulerWave_sq

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

theoremstimepiece

Prove the following Lean 4 theorem from ChapterEulerNState.

BookProof.ChapterEulerNState.eulerWave_sq (θ : ℕ → ℝ) (n k : ℕ) : (eulerWave θ n k) ^ 2 = bornProb θ n k

Formalization note: Lean 4 identifier BookProof.ChapterEulerNState.eulerWave_sq.

Preamble

-- Generated from ChapterEulerNState.lean — theorem BookProof.ChapterEulerNState.eulerWave_sq
import Mathlib
import Definitions.Def_ChapterEulerNState
import Definitions.Def_ChapterDoubleSlit
open BookProof.ChapterDoubleSlit
open BookProof.ChapterEulerNState


open scoped BigOperators

Formal statement

theorem BookProof.ChapterEulerNState.eulerWave_sq (θ : ℕ → ℝ) (n k : ℕ) :
    (eulerWave θ n k) ^ 2 = bornProb θ n k := by sorry

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