`BookProof.ChapterBijectionProbability.bijProb_isEquivalent_stirling` : IsEquivalent atTop bijProb (fun n => Real.sqrt (2 * n * Real.pi) * Real.exp (-(n : ℝ)))

Proved

BookProof.ChapterBijectionProbability.bijProb_isEquivalent_stirling

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

theoremstimepiece

Prove the following Lean 4 theorem from ChapterBijectionProbability.

BookProof.ChapterBijectionProbability.bijProb_isEquivalent_stirling : IsEquivalent atTop bijProb (fun n => Real.sqrt (2 * n * Real.pi) * Real.exp (-(n : ℝ)))

Formalization note: Lean 4 identifier BookProof.ChapterBijectionProbability.bijProb_isEquivalent_stirling.

Preamble

-- Generated from ChapterBijectionProbability.lean — theorem BookProof.ChapterBijectionProbability.bijProb_isEquivalent_stirling
import Mathlib
import Definitions.Def_ChapterBijectionProbability
open BookProof.ChapterBijectionProbability


open scoped Nat
open Filter Asymptotics

Formal statement

theorem BookProof.ChapterBijectionProbability.bijProb_isEquivalent_stirling :
    IsEquivalent atTop bijProb
      (fun n => Real.sqrt (2 * n * Real.pi) * Real.exp (-(n : ℝ))) := by sorry

View graph