Abstract
AbstractWe establish a course-of-values induction principle for K-finite sets in intuitionistic type theory. Using this principle, we prove a pigeonhole principle conjectured by Bénabou and Loiseau. We also comment on some variants of this pigeonhole principle.
Publisher
Cambridge University Press (CUP)
Cited by
3 articles.
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1. Finite sets in homotopy type theory;Proceedings of the 7th ACM SIGPLAN International Conference on Certified Programs and Proofs;2018-01-08
2. Finite sets in homotopy type theory;Proceedings of the 7th ACM SIGPLAN International Conference on Certified Programs and Proofs - CPP 2018;2018
3. Pigeonhole and Choice Principles;MLQ;2000-08