Use empty(). It checks for both empty strings and null.
if (!empty($_POST['user'])) {
// do stuff
}
From the manual:
The following things are considered to be empty:
"" (an empty string)
0 (0 as an integer)
0.0 (0 as a float)
"0" (0 as a string)
NULL
FALSE
array() (an empty array)
var $var; (a variable declared, but without a value in a class)