Subsection 2.3.1 (002Y): The Empty Set

Preferences





Font:

PDF Style:

Here's a breakdown of the differences between each PDF style:

Style	Class	Font	Theorem Environments
Style 1	`book`	Alegreya Sans	`tcbthm`
Style 2	`book`	Alegreya Sans	`amsthm`
Style 3	`book`	Arno*	`amsthm`
Style 4	`book`	Computer Modern	`amsthm`

*To be replaced with Linus Romer's Elemaints when it is released.

The empty set is the set $\text{Ø}$ defined by

\[ \text{Ø}\mathrel {\smash {\overset {\mathclap {\scriptscriptstyle \text{def}}}=}}\webleft\{ x\in X\ \middle |\ x\neq x\webright\} , \]

where $X$ is the set in the set existence axiom, of .

Noticed something off, or have any comments? Feel free to reach out!

You can also use the contact form below: