You’re using “subtype” in two distinct, but related, senses here, and I think this should be clarified.

From a more category-theoretic perspective, a type A is a “subtype” of a type B when there is an embedding of A inside B. In this sense, `!` is a subtype of every type (which is its universal property). But this definition also grants you that `String` is a subtype of `BigInt`, because strings can be coded as bit sequences which can be coded in `BigInt`, which may or may not be what you expect.

From a programming languages perspective – and this is the terminology generally used in Rust – a type A is a “subtype” of a type B when `a: A` implies that `a: B`. In this sense, `!` is only a subtype of itself; although it coerces to any other type, it’s not _literally_ of that type, the coercion is just invisible in syntax. Importantly, if A is a subtype of B then `Vec<A>` is a subtype of `Vec<B>` – but `Vec<!>` is definitely not a subtype of `Vec<T>`, since they may have totally different layouts in memory (the former not allocating at all, while the latter potentially allocating).