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
Function
Real collection function
Euclidean real function
Real function
Rational function
Integer function
Definition D4949
Natural number function
Formulation 0
Let $\mathbb{N}$ be the D225: Set of natural numbers.
A D18: Map $f : X \to Y$ is a natural number function if and only if \begin{equation} Y \subseteq \mathbb{N} \end{equation}
Children
D218: Boolean function
D1672: Collatz function
D5406: Positive integer function