Finitely π-presented types

Content created by Egbert Rijke, Jonathan Prieto-Cubides and Fredrik Bakke

Created on 2022-03-07.
Last modified on 2023-03-21.

module univalent-combinatorics.presented-pi-finite-types where
Imports 




Idea


A type A is said to be finitely π_0-presented if there is a standard pruned
tree T of height 1 so that A has a presentation of cardinality width T,
and A is said to be finitely π_{n+1}-presented if there is a standard pruned
tree T of height n+2 and a map f : Fin (width T) → A so that
η ∘ f : Fin (width T) → ∥A∥_0 is an equivalence, and for each
x : Fin (width T) the type Ω (A, f x) is


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