Question

I'd like to know the syntax for describing a number of elements in a set, and that each of them are distinct. e.g.

{$x,y,z$} $\in A$

I would like to know how I can succinctly express the following, without having to write it out as such:

$ x \neq y \;\;\;\; x \neq z \;\;\;\; y \neq z$

Answer 1

"Let $x,y,z,$ be pairwise distinct", is perfectly fine.

Answer 2

"Let $x, y, z$ be distinct" is enough.

Answer 3

"Let $\lbrace x,y,z \rbrace$ be a set with exactly three elements."

Answer 4

{x,y,z} $\cong3$ or |{x,y,z}| $=3$