diff -r 179ff9cb160b -r 5b25fee0362c src/HOL/Decision_Procs/cooper_tac.ML
--- a/src/HOL/Decision_Procs/cooper_tac.ML	Wed Mar 04 10:43:39 2009 +0100
+++ b/src/HOL/Decision_Procs/cooper_tac.ML	Wed Mar 04 10:45:52 2009 +0100
@@ -27,12 +27,9 @@
 val Suc_plus1 = @{thm Suc_plus1};
 val imp_le_cong = @{thm imp_le_cong};
 val conj_le_cong = @{thm conj_le_cong};
-val nat_mod_add_eq = @{thm mod_add1_eq} RS sym;
-val nat_mod_add_left_eq = @{thm mod_add_left_eq} RS sym;
-val nat_mod_add_right_eq = @{thm mod_add_right_eq} RS sym;
-val int_mod_add_eq = @{thm mod_add_eq} RS sym;
-val int_mod_add_left_eq = @{thm zmod_zadd_left_eq} RS sym;
-val int_mod_add_right_eq = @{thm zmod_zadd_right_eq} RS sym;
+val mod_add_left_eq = @{thm mod_add_left_eq} RS sym;
+val mod_add_right_eq = @{thm mod_add_right_eq} RS sym;
+val mod_add_eq = @{thm mod_add_eq} RS sym;
 val nat_div_add_eq = @{thm div_add1_eq} RS sym;
 val int_div_add_eq = @{thm zdiv_zadd1_eq} RS sym;
 
@@ -70,14 +67,13 @@
     val (t,np,nh) = prepare_for_linz q g
     (* Some simpsets for dealing with mod div abs and nat*)
     val mod_div_simpset = HOL_basic_ss 
-			addsimps [refl,nat_mod_add_eq, nat_mod_add_left_eq, 
-				  nat_mod_add_right_eq, int_mod_add_eq, 
-				  int_mod_add_right_eq, int_mod_add_left_eq,
+			addsimps [refl,mod_add_eq, mod_add_left_eq, 
+				  mod_add_right_eq,
 				  nat_div_add_eq, int_div_add_eq,
 				  @{thm mod_self}, @{thm "zmod_self"},
 				  @{thm mod_by_0}, @{thm div_by_0},
 				  @{thm "zdiv_zero"}, @{thm "zmod_zero"}, @{thm "div_0"}, @{thm "mod_0"},
-				  @{thm "zdiv_1"}, @{thm "zmod_1"}, @{thm "div_1"}, @{thm "mod_1"},
+				  @{thm "div_by_1"}, @{thm "mod_by_1"}, @{thm "div_1"}, @{thm "mod_1"},
 				  Suc_plus1]
 			addsimps @{thms add_ac}
 			addsimprocs [cancel_div_mod_proc]