diff options
Diffstat (limited to 'HoTT_Base.thy')
| -rw-r--r-- | HoTT_Base.thy | 10 |
1 files changed, 7 insertions, 3 deletions
diff --git a/HoTT_Base.thy b/HoTT_Base.thy index eaebfb0..cfced79 100644 --- a/HoTT_Base.thy +++ b/HoTT_Base.thy @@ -12,9 +12,13 @@ begin section \<open>Setup\<close> -text "Declare rules expressing necessary wellformedness conditions for type and inhabitation judgments, to be used by proof methods later (see HoTT_Methods.thy)." +text "Named theorems to be used by proof methods later (see HoTT_Methods.thy). + +\<open>wellform\<close> declares necessary wellformedness conditions for type and inhabitation judgments, while +\<open>comp\<close> declares computation rules used when simplifying function application." named_theorems wellform +named_theorems comp section \<open>Metalogical definitions\<close> @@ -32,8 +36,8 @@ text "We formalize the judgments \<open>a : A\<close> and \<open>A : U\<close> s For judgmental equality we use the existing Pure equality \<open>\<equiv>\<close> and hence do not need to define a separate judgment for it." consts - is_a_type :: "Term \<Rightarrow> prop" ("(1_ :/ U)" [0] 1000) - is_of_type :: "[Term, Term] \<Rightarrow> prop" ("(1_ :/ _)" [0, 0] 1000) + is_a_type :: "Term \<Rightarrow> prop" ("(1_ : U)" [0] 1000) + is_of_type :: "[Term, Term] \<Rightarrow> prop" ("(1_ : _)" [0, 0] 1000) text "The following fact is used to make explicit the assumption of well-formed contexts." |