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
Map
Definition D2660
Set endomorphism
Formulation 0
Let $X$ be a D11: Set.
A D18: Map $f : X \to Y$ is an endomorphism on $X$ if and only if \begin{equation} X = Y \end{equation}