>The problem with theorem provers like Adga and Coq is they are brittle to refactoring and thus hard to make changes to an app. Something seeming small can ripple through the whole system. I hear Idris is more reasonable in this regard and has better general purpose programming properties.

You can say the same for any strongly typed language, but reality is it's the opposite. If your program has a good design, it's easy to refactor.