From 76ac8ed82317f3f62f26ecc88f412c61004bcffa Mon Sep 17 00:00:00 2001 From: Josh Chen Date: Mon, 17 Sep 2018 13:13:55 +0200 Subject: Reorganizing theories --- Empty.thy | 22 +++++++++------------- 1 file changed, 9 insertions(+), 13 deletions(-) (limited to 'Empty.thy') diff --git a/Empty.thy b/Empty.thy index 107f2d7..3060867 100644 --- a/Empty.thy +++ b/Empty.thy @@ -1,28 +1,24 @@ -(* Title: HoTT/Empty.thy - Author: Josh Chen +(* +Title: Empty.thy +Author: Joshua Chen +Date: 2018 Empty type *) theory Empty - imports HoTT_Base -begin - +imports HoTT_Base -section \Constants and type rules\ +begin -section \Empty type\ axiomatization - Empty :: t ("\") and + Empty :: t ("\") and indEmpty :: "t \ t" ("(1ind\<^sub>\)") where - Empty_form: "\: U O" -and - Empty_elim: "\C: \ \ U i; z: \\ \ ind\<^sub>\ z: C z" - + Empty_form: "\: U O" and -text "Rule attribute declarations:" + Empty_elim: "\a: \; C: \ \ U i\ \ ind\<^sub>\ a: C a" lemmas Empty_routine [intro] = Empty_form Empty_elim -- cgit v1.2.3 From 6857e783fa5cb91f058be322a18fb9ea583f2aad Mon Sep 17 00:00:00 2001 From: Josh Chen Date: Tue, 18 Sep 2018 11:38:54 +0200 Subject: Overhaul of the theory presentations. New methods in HoTT_Methods.thy for handling universes. Commit for release 0.1.0! --- Empty.thy | 1 + 1 file changed, 1 insertion(+) (limited to 'Empty.thy') diff --git a/Empty.thy b/Empty.thy index 3060867..ee11045 100644 --- a/Empty.thy +++ b/Empty.thy @@ -20,6 +20,7 @@ where Empty_elim: "\a: \; C: \ \ U i\ \ ind\<^sub>\ a: C a" +lemmas Empty_form [form] lemmas Empty_routine [intro] = Empty_form Empty_elim -- cgit v1.2.3