"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+?