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Lower bounds in type theory proof assistant with ordinals and universes without axioms

I saw a PowerPoint that claimed to achieve $\psi_0(\Gamma_{\Omega+1})$ in Agda without any axioms. I was wondering if a better lower bound exists in 2024? My ...
Ember Edison's user avatar
3 votes
2 answers
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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 ...
Ember Edison's user avatar