Comment by zozbot234

The "runtime" values of a dependent type system are not quite runtime values either, because the computation is happening at compile time. When you "extract" a program from a dependently-typed to an ordinary programming language that can compile down to a binary, the dependent types are simply erased and replaced with ordinary, non-dependent types; though there may be "magic" casts in the resulting program that can only be proven correct via dependent types.