Extensional concepts in intensional type theory, revisited
Chris Kapulkin, Yufeng Li · arXiv (Cornell University) · 2023
Revisiting a classic result from M. Hofmann's dissertation, we give a direct proof of Morita equivalence, in the sense of V. Isaev, between extensional type theory and intensional type theory extended by the principles of functional extensionality and of uniqueness of identity proofs.