Switch on Any.Type

I'm trying to switch on a type in swift. I'm not trying to switch on the type of an object instance, I'm trying to switch on the actual type itself. For example:

 let t: Any.Type = Int.self
 switch t {
 case is Int:
     print("int")
 default:
     print("other")
 }

I would expect this to print "int" but it falls into the default case.

I can accomplish the desired result with an if statement, as in,

 if t == Int.self
 {
     print("t is an int")
 }

but I was hoping for a way to do this with a switch. I've read Apple's 'Type Casting' documentation, perhaps not thoroughly enough because I can't see a way to apply it here.