ThmDex – An index of mathematical definitions, results, and conjectures.
Set of symbols
Deduction system
Zermelo-Fraenkel set theory
Binary cartesian set product
Binary relation
Binary endorelation
Preordering relation
Partial ordering relation
Partially ordered set
Closed interval
Left-closed interval
Definition D1277
Left-closed real interval
Formulation 0
Let $P = (\mathbb{R}, {<})$ be the D1101: Strictly ordered set of real numbers such that
(i) $a, b \in \mathbb{R}$ are each a D993: Real number
The left-closed real interval from $a$ to $b$ is the D11: Set \begin{equation} [a, b) : = \{ x \in \mathbb{R} : a \leq x < b \} \end{equation}