"Is [0, inf) same as R+?"

A metric, sometimes referred to as a distance function, is a function that defines a real nonnegative distance between every two elements of a set\. It is commonly denoted by the variable $~$d$~$\. In colon\-to notation, a metric $~$d$~$ that defines distances between elements of the set $~$S$~$ is written: $$~$d: S \\times S \\to \[0, \\infty)$~$$

Is [0, inf) same as R+?