An Induction Principle and Pigeonhole Principles for K-Finite Sets

Andreas Blass

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arXiv · math/9405204

An Induction Principle and Pigeonhole Principles for K-Finite Sets

Andreas Blass

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Abstract

We 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 Benabou and Loiseau. We also comment on some variants of this pigeonhole principle.

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Andreas Blass. 1994-05-20. An Induction Principle and Pigeonhole Principles for K-Finite Sets. https://arxiv.org/abs/math/9405204

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