It didn't disappear; there's just less of it. Only the stateful things need to remain stateful. Everything else becomes single-use.
Declaring something as a constant gives you license to only need to understand it once. You don't have to trace through the rest of the code finding out new ways it was reassigned. This frees up your mind to move on to the next thing.
> Only the stateful things need to remain stateful.
And I think it is worth noting that there is effectively no difference between “stateful” and “not stateful” in a purely functional programming environment. You are mostly talking about what a thing is and how you would like to transform it. Eg, this variable stores a set of A and I would like to compute a set of B and then C is their set difference. And so on.
Unless you have hybrid applications with mutable state (which is admittedly not uncommon, especially when using high performance libraries) you really don’t have to think about state, even at a global application level. A functional program is simply a sequence of transformations of data, often a recursive sequence of transformations. But even when working with mutable state, you can find ways to abstract away some of the mutable statefulness. Eg, a good, high performance dynamic programming solution or graph algorithm often needs to be stateful; but at some point you can “package it up” as a function and then the caller does not need to think about that part at all.