--- a/src/HOL/Nitpick.thy Tue Dec 07 11:56:01 2010 +0100
+++ b/src/HOL/Nitpick.thy Tue Dec 07 11:56:01 2010 +0100
@@ -76,6 +76,9 @@
"tranclp r a b \<equiv> trancl (split r) (a, b)"
by (simp add: trancl_def Collect_def mem_def)
+definition prod :: "'a set \<Rightarrow> 'b set \<Rightarrow> ('a \<times> 'b) set" where
+"prod A B = {(a, b). a \<in> A \<and> b \<in> B}"
+
definition refl' :: "('a \<times> 'a \<Rightarrow> bool) \<Rightarrow> bool" where
"refl' r \<equiv> \<forall>x. (x, x) \<in> r"
@@ -237,18 +240,18 @@
setup {* Nitpick_Isar.setup *}
hide_const (open) unknown is_unknown bisim bisim_iterator_max Quot safe_The
- FinFun FunBox PairBox Word refl' wf' wf_wfrec wf_wfrec' wfrec' card' setsum'
- fold_graph' nat_gcd nat_lcm int_gcd int_lcm Frac Abs_Frac Rep_Frac zero_frac
- one_frac num denom norm_frac frac plus_frac times_frac uminus_frac
+ FinFun FunBox PairBox Word prod refl' wf' wf_wfrec wf_wfrec' wfrec' card'
+ setsum' fold_graph' nat_gcd nat_lcm int_gcd int_lcm Frac Abs_Frac Rep_Frac
+ zero_frac one_frac num denom norm_frac frac plus_frac times_frac uminus_frac
number_of_frac inverse_frac less_frac less_eq_frac of_frac
hide_type (open) bisim_iterator fin_fun fun_box pair_box unsigned_bit signed_bit
word
-hide_fact (open) If_def Ex1_def rtrancl_def rtranclp_def tranclp_def refl'_def
- wf'_def wf_wfrec'_def wfrec'_def card'_def setsum'_def fold_graph'_def
- The_psimp Eps_psimp unit_case_def nat_case_def list_size_simp nat_gcd_def
- nat_lcm_def int_gcd_def int_lcm_def Frac_def zero_frac_def one_frac_def
- num_def denom_def norm_frac_def frac_def plus_frac_def times_frac_def
- uminus_frac_def number_of_frac_def inverse_frac_def less_frac_def
- less_eq_frac_def of_frac_def
+hide_fact (open) If_def Ex1_def rtrancl_def rtranclp_def tranclp_def prod_def
+ refl'_def wf'_def wf_wfrec'_def wfrec'_def card'_def setsum'_def
+ fold_graph'_def The_psimp Eps_psimp unit_case_def nat_case_def
+ list_size_simp nat_gcd_def nat_lcm_def int_gcd_def int_lcm_def Frac_def
+ zero_frac_def one_frac_def num_def denom_def norm_frac_def frac_def
+ plus_frac_def times_frac_def uminus_frac_def number_of_frac_def
+ inverse_frac_def less_frac_def less_eq_frac_def of_frac_def
end