`BookProof.ChapterCoherentOverlap.coherentOverlap_eq_gaussian` (q k : EuclideanSpace ℝ (Fin n)) : coherentOverlap q k = Real.exp (-‖q - k‖ ^ 2 / 2)

Proved

BookProof.ChapterCoherentOverlap.coherentOverlap_eq_gaussian

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

theoremstimepiece

Prove the following Lean 4 theorem from ChapterCoherentOverlap.

BookProof.ChapterCoherentOverlap.coherentOverlap_eq_gaussian (q k : EuclideanSpace ℝ (Fin n)) : coherentOverlap q k = Real.exp (-‖q - k‖ ^ 2 / 2)

Formalization note: Lean 4 identifier BookProof.ChapterCoherentOverlap.coherentOverlap_eq_gaussian.

Preamble

-- Generated from ChapterCoherentOverlap.lean — theorem BookProof.ChapterCoherentOverlap.coherentOverlap_eq_gaussian
import Mathlib
import Definitions.Def_ChapterCoherentOverlap
open BookProof.ChapterCoherentOverlap


open scoped BigOperators

noncomputable section


variable {n : ℕ}

Formal statement

theorem BookProof.ChapterCoherentOverlap.coherentOverlap_eq_gaussian (q k : EuclideanSpace ℝ (Fin n)) :
    coherentOverlap q k = Real.exp (-‖q - k‖ ^ 2 / 2) := by sorry

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