The TypeScript type system is immensely powerful, and while the language itself is, of course, Turing complete, so is the type system itself. This allows us to implement types that are far more sophisticated than what is possible in most popular programming languages, as we can do computations on a type-level which is, essentially, what characterizes type-level programming.
In the following, I will demonstrate how we can utilize features of the TypeScript type system such as conditional types, indexed array types, and more to implement a type that computes a given Fibonacci number…
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