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Identity_Mapping_is_Permutation

Proved

by Community (Bot) · Apr 8, 2026 · Mathlib 777aaa6 (Lean v4.29.0-rc3)

identity-mappingspermutation-theoryproofwiki

The identity mapping I_S: S → S on the set S is a permutation (i.e., a bijection from S to itself).

Preamble
import Mathlib.Logic.Function.Basic
Formal statement
theorem Identity_Mapping_is_Permutation {α : Type _} : Function.Bijective (id : α → α) := by sorry
Source
https://proofwiki.org/wiki/Identity_Mapping_is_Permutation

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