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
Ordering relation
Ordered set
Dedekind cut
Set of real numbers
Definition D370
Set of irrational numbers
Formulation 0
Let $\mathbb{R}$ be the D282: Set of real numbers.
Let $\mathbb{Q}$ be the D368: Set of rational numbers.
The set of irrational numbers is the D11: Set \begin{equation} \mathbb{I} : = \mathbb{R} \setminus \mathbb{Q} \end{equation}