{-# OPTIONS --prop --rewriting #-} -- This development has been tested to typecheck with Agda version 2.8.0-08923ce -- The typechecking gets a bit slow, expect a few minutes on a high end laptop module readme where -- Tools and postulates (funext, etc) import lib -- Definition of a CwF with dependent products and booleans (incl. large elimination) import model -- Definition of CwF morphisms import morphism -- Definition of dependent CwFs, and pulling them back along morphisms import depModel -- Initial CwF ("syntax") with its elimination principles import initialObs -- Strictification of the substitution associativity and unit laws of a CwF -- + definition of a morphism from the strictified CwF to the original CwF import strictifyCat import strictifyCatMorphism -- Strictification of most administrative equations using Pédrot's strict preshaves -- + definition of a morphism from the strictified CwF to the contextual core of the original CwF import strictifyPMP import strictifyPMPMorphism -- Proving that the strictification morphisms are in fact isomorphisms import strictifyIso -- strictification of the initial model using strict presheaves. it -- includes dependent model over the strict initial model and its -- induction principle import initialStrict -- some tests for definitional equalities in the strict syntax import test -- a canonicity proof import canon