Involution – TheoremDex

▾ Set of symbols
▾ Alphabet
▾ Deduction system
▾ Theory
▾ Zermelo-Fraenkel set theory
▾ Set
▾ Binary cartesian set product
▾ Binary relation
▾ Inverse binary relation
▾ Inverse map

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