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Diffstat (limited to '')
-rw-r--r-- | Nat.thy | 5 |
1 files changed, 5 insertions, 0 deletions
@@ -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 |