If you're coming from C/C++, it might also be helpful to think of it basically like this:
// Rust C/C++
a: &T == const T* const a; // can't mutate either
mut a: &T == const T* a; // can't mutate what is pointed to
a: &mut T == T* const a; // can't mutate pointer
mut a: &mut T == T* a; // can mutate both
You'll notice that these are inverses of each other. C/C++ take a "blacklist" approach, where if you want something to be immutable you have to say so explicitly, while Rust takes a "whitelist" approach, where if you want something to be mutable you have to say so explicitly.
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