`BookProof.ChapterEntropy.card_selfMaps` (n : ℕ) : Fintype.card (Fin n → Fin n) = n ^ n

Proved

BookProof.ChapterEntropy.card_selfMaps

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

theoremstimepiece

Prove the following Lean 4 theorem from ChapterEntropy.

BookProof.ChapterEntropy.card_selfMaps (n : ℕ) : Fintype.card (Fin n → Fin n) = n ^ n

Formalization note: Lean 4 identifier BookProof.ChapterEntropy.card_selfMaps.

Preamble

-- Generated from ChapterEntropy.lean — theorem BookProof.ChapterEntropy.card_selfMaps
import Mathlib
import Definitions.Def_ChapterEntropy
open BookProof.ChapterEntropy



open Filter Asymptotics
open scoped Topology

Formal statement

theorem BookProof.ChapterEntropy.card_selfMaps (n : ℕ) : Fintype.card (Fin n → Fin n) = n ^ n := by sorry

View graph