This file contains hidden or bidirectional Unicode text that may be interpreted or compiled differently than what appears below. To review, open the file in an editor that reveals hidden Unicode characters.
Learn more about bidirectional Unicode characters
{-# OPTIONS --without-K #-} | |
{- | |
Claim: finitary inductive types are constructible from Π,Σ,Uᵢ,_≡_ and ℕ, without | |
quotients. Sketch in two parts. | |
1. First, construction of finitary inductive types from Π, Σ, Uᵢ, _≡_ and binary trees. | |
Here I only show this for really simple, single-sorted closed inductive types, | |
but it should work for indexed inductive types as well. |