# HG changeset patch
# User blanchet
# Date 1291719361 -3600
# Node ID f2e94005d28346afa44133e9f0aa94fd8f72fb8b
# Parent  2a41709f34c1960c67b23e06822bd5c7dcc9bc8c
fix special handling of set products

diff -r 2a41709f34c1 -r f2e94005d283 src/HOL/Nitpick.thy
--- 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
diff -r 2a41709f34c1 -r f2e94005d283 src/HOL/Tools/Nitpick/nitpick_hol.ML
--- a/src/HOL/Tools/Nitpick/nitpick_hol.ML	Tue Dec 07 11:56:01 2010 +0100
+++ b/src/HOL/Tools/Nitpick/nitpick_hol.ML	Tue Dec 07 11:56:01 2010 +0100
@@ -424,6 +424,7 @@
    (@{const_name converse}, 1),
    (@{const_name trancl}, 1),
    (@{const_name rel_comp}, 2),
+   (@{const_name prod}, 2),
    (@{const_name image}, 2),
    (@{const_name finite}, 1),
    (@{const_name unknown}, 0),
@@ -1645,9 +1646,14 @@
                 s_betapply [] (do_term depth Ts t0, do_term depth Ts t1))
       | Const (@{const_name refl_on}, T) $ Const (@{const_name top}, _) $ t2 =>
         do_const depth Ts t (@{const_name refl'}, range_type T) [t2]
-      | (t0 as Const (@{const_name Sigma}, _)) $ t1 $ (t2 as Abs (_, _, t2')) =>
-        s_betapplys Ts (t0 |> loose_bvar1 (t2', 0) ? do_term depth Ts,
-                        map (do_term depth Ts) [t1, t2])
+      | (t0 as Const (@{const_name Sigma}, Type (_, [T1, Type (_, [T2, T3])])))
+        $ t1 $ (t2 as Abs (_, _, t2')) =>
+        if loose_bvar1 (t2', 0) then
+          s_betapplys Ts (do_term depth Ts t0, map (do_term depth Ts) [t1, t2])
+        else
+          do_term depth Ts
+                  (Const (@{const_name prod}, T1 --> range_type T2 --> T3)
+                   $ t1 $ incr_boundvars ~1 t2')
       | Const (x as (@{const_name distinct},
                Type (@{type_name fun}, [Type (@{type_name list}, [T']), _])))
         $ (t1 as _ $ _) =>
diff -r 2a41709f34c1 -r f2e94005d283 src/HOL/Tools/Nitpick/nitpick_nut.ML
--- a/src/HOL/Tools/Nitpick/nitpick_nut.ML	Tue Dec 07 11:56:01 2010 +0100
+++ b/src/HOL/Tools/Nitpick/nitpick_nut.ML	Tue Dec 07 11:56:01 2010 +0100
@@ -528,8 +528,8 @@
           Op1 (Closure, range_type T, Any, sub t1)
         | (Const (@{const_name rel_comp}, T), [t1, t2]) =>
           Op2 (Composition, nth_range_type 2 T, Any, sub t1, sub t2)
-        | (Const (@{const_name Sigma}, T), [t1, Abs (s, T', t2')]) =>
-          Op2 (Product, nth_range_type 2 T, Any, sub t1, sub_abs s T' t2')
+        | (Const (@{const_name prod}, T), [t1, t2]) =>
+          Op2 (Product, nth_range_type 2 T, Any, sub t1, sub t2)
         | (Const (@{const_name image}, T), [t1, t2]) =>
           Op2 (Image, nth_range_type 2 T, Any, sub t1, sub t2)
         | (Const (x as (s as @{const_name Suc}, T)), []) =>