▾ 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
Formulation 0
Let $\mathbb{R}$ be the D282: Set of real numbers.
A D18: Map $f : X \to Y$ is a real function if and only if \begin{equation} Y \subseteq \mathbb{R} \end{equation}
Child definitions
» D2: Absolutely continuous real function
» D4947: Rational function
» D5629: Real neuron function
Results
» R4127: Real exponentiation function with unsigned exponent is isotone on unsigned reals
» R5136: Minimax inequality