Skip to main content

All Questions

3 votes
2 answers
156 views

Can Hyperreal exist a axiom-free implementation in HoTT?

The main current implementations of hyperreal numbers are model-theoretic and set-theoretic approaches. Most of these implementations are strongly non-constructive, and many require a very deep ...
3 votes
1 answer
140 views

Can I specify `refl`'s parameter explicitly in Agda?

I'm working on some proofs in Agda that, for educational purposes, explicitly use the path induction principle (which I've defined myself) rather than pattern matching. In the theoretical mathematical ...