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authorJosh Chen2019-02-22 23:45:50 +0100
committerJosh Chen2019-02-22 23:45:50 +0100
commit57d183c7955fb54b3eb6dd431f5aec338131266b (patch)
treeae6bfabbd8fcd63ee7d5140ca842599efbd58c16 /Empty.thy
parent0036345412d5c145b63693ed672b175018fa3791 (diff)
Cleanups and reorganization
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-(*
-Title: Empty.thy
-Author: Joshua Chen
-Date: 2018
-
-Empty type
-*)
-
-theory Empty
-imports HoTT_Base
-
-begin
-
-
-axiomatization
- Empty :: t ("\<zero>") and
- indEmpty :: "t \<Rightarrow> t" ("(1ind\<^sub>\<zero>)")
-where
- Empty_form: "\<zero>: U O" and
-
- Empty_elim: "\<lbrakk>a: \<zero>; C: \<zero> \<longrightarrow> U i\<rbrakk> \<Longrightarrow> ind\<^sub>\<zero> a: C a"
-
-lemmas Empty_form [form]
-lemmas Empty_routine [intro] = Empty_form Empty_elim
-
-
-end