From e6473c383b479610cee4c0119e5811a12a938cf9 Mon Sep 17 00:00:00 2001
From: Josh Chen
Date: Tue, 14 Aug 2018 17:43:03 +0200
Subject: Well-formation rules are back in the methods; new theory synthesizing
 the natural number predecessor function.

---
 Nat.thy | 5 +++++
 1 file changed, 5 insertions(+)

(limited to 'Nat.thy')

diff --git a/Nat.thy b/Nat.thy
index 388df0f..21c9b1c 100644
--- a/Nat.thy
+++ b/Nat.thy
@@ -10,6 +10,8 @@ theory Nat
 begin
 
 
+section \<open>Constants and type rules\<close>
+
 axiomatization
   Nat :: Term   ("\<nat>") and
   zero :: Term  ("0") and
@@ -42,6 +44,9 @@ and
     n: \<nat>
     \<rbrakk> \<Longrightarrow> ind\<^sub>\<nat>(f)(a)(succ n) \<equiv> f(n)(ind\<^sub>\<nat> f a n)"
 
+
+text "Rule declarations:"
+
 lemmas Nat_intro = Nat_intro1 Nat_intro2
 lemmas Nat_rules [intro] = Nat_form Nat_intro Nat_elim Nat_comp1 Nat_comp2
 lemmas Nat_comps [comp] = Nat_comp1 Nat_comp2
-- 
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