I am looking for a data type that is a mixture of a vector and an iterator, i.e. it should be

• like a vector in the sense that it allows for random access to all of its elements without advancing a index as in the Iterator case.
• like an Iterator, it should be possible to .filter(), .fold() and .map() the data-type lazily, i.e. the computation is only done then when the elements are actually accessed.

I hope that the pseudo-below helps to illustrate what I want

fn main() {
    let x = vec![1, 2, 3];
    let x1 = x.into_random_access_iter().map(|i| i ^ 2);
    map.get(1) // 1
    map.get(2) 4
    map.get(1) // 1
    let x2 = x1.filter(|i| i <= 4)
    x2.len() // 2
}

So far, I was unable to find such a data type, but I might just be missing the correct terminology to express what I want.