An interpretation of the fan theorem in type theory

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Abstract

This article presents a formulation of the fan theorem in Martin-Löf’s type theory. Starting from one of the standard versions of the fan theorem we gradually introduce reformulations leading to a final version which is easy to interpret in type theory. Finally we describe a formal proof of that final version of the fan theorem.

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Fridlender, D. (1999). An interpretation of the fan theorem in type theory. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (Vol. 1657, pp. 93–105). Springer Verlag. https://doi.org/10.1007/3-540-48167-2_7

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