ThmDex – An index of mathematical definitions, results, and conjectures.
▼ Set of symbols
▼ Alphabet
▼ Deduction system
▼ Theory
▼ Zermelo-Fraenkel set theory
▼ Set
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▼ 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