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Add an alternative definition of Kuratowski-finiteness using listed #223

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ayberkt opened this issue Dec 4, 2023 · 0 comments
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ayberkt commented Dec 4, 2023

In module MLTT.List, there is a notion called listed.

listed : Type → Type
listed X = Σ xs ꞉ List X , ((x : X) → member x xs)

The propositional truncation of this should be equivalent to Kuratowski-finiteness. Proving this might be a fun exercise, but will involve some bureaucracy regarding the Fin type.

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