Do any mathematicians around here know if this is a special case of Gödel's incompleteness theorem [1]?
[1] https://en.wikipedia.org/wiki/G%C3%B6del%27s_incompleteness_...
[1] https://en.wikipedia.org/wiki/G%C3%B6del%27s_incompleteness_...
All the other theorems (Gödel, Church, Tarski, Turing) are basically the same if you squint your eyes hard enough.