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
▼ Binary endorelation
▼ Preordering relation
▼ Partial ordering relation
▼ Partially ordered set
▼ Closed interval
▼ Closed real interval
Definition D1510
Closed real unit interval
Formulation 0
Let $P = (\mathbb{R}, {\leq})$ be the D1102: Ordered set of real numbers.
The closed real unit interval is the D11: Set \begin{equation} [0, 1] : = \{ x \in \mathbb{R} : 0 \leq x \leq 1 \} \end{equation}
Children
▶ D4978: Basic rational closed unit interval