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Inverse_of_Inner_Automorphism

Proved

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

automorphismgroup-theoryinner-automorphismproofwiki

For a group G and x in G, the inverse of the inner automorphism κ_x is κ_{x⁻¹}.

Preamble
import Mathlib.Analysis.Complex.Basic
Formal statement
import Mathlib.Analysis.Complex.Basic

theorem Inverse_of_Inner_Automorphism {G : Type _} [Group G] (x : G) : (MulAut.conj x)⁻¹ = MulAut.conj x⁻¹ := by sorry
Source
https://proofwiki.org/wiki/Inverse_of_Inner_Automorphism

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