ThmDex – An index of mathematical definitions, results, and conjectures.
Set of symbols
Alphabet
Deduction system
Theory
Zermelo-Fraenkel set theory
Set
Binary cartesian set product
Binary relation
Inverse binary relation
Inverse map
Definition D702
Involution
Formulation 2
Let $f : X \to X$ be a D18: Map such that
(i) $f$ is an D976: Invertible map
(ii) $f^{-1}$ is an D216: Inverse map of $f$
Then $f$ is an involution if and only if \begin{equation} f = f^{-1} \end{equation}
Results
Complex conjugation operation is an involution