▾ 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
▾ Left-closed interval
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}