By Robert Smith Coalton is a statically typed functional programming language that lives inside Common Lisp. It has had an exciting few years. It is being used for industrial purposes, being put to its limits as a production language to build good, reliable, efficient, and robust products. Happily, with Coalton, many products shipped with tremendous success. But as we built these products, we noticed gaps in the language. As such, we’re setting the stage for the next tranche of Coalton work, and we’re going to preview some of these improvements here, including how Coalton can prove $\sqrt{2+\sqrt{3}} = \sqrt{2}(\sqrt{3}+1)/2$ exactly.