it would seem that in practice you can go even further, essentially writing exhaustive proofs. However F* already supports this and compiles to F#, so I would s

it would seem that in practice you can go even further, essentially writing exhaustive proofs. However F* already supports this and compiles to F#, so I would say if you want that level of correctness you should probably use a language which is better at describing the totality of a function.