Can we always omit const on local variables in constexpr functions?

For example:

constexpr int g() { return 30; }    

constexpr int f()
{
    // Can we always omit const?
    /* const */ int x = g();
    /* const */ int y = 10;

    return x + y;
}

Is there any point to ever declare local variables in a constexpr function with const?

Aren't constexpr functions with const local variables equivalent to those with no const? In other words, does constexpr on a function imply const on its local variables?

Because if so, the version without const would look more attractive for being slightly cleaner.