# HG changeset patch
# User nipkow
# Date 1014630154 -3600
# Node ID 2c0251fada947f77b2cabe2ff894fb96f5a704fd
# Parent  c1f3ff5feff174e941d1a4eafb7f855fde67ba30
solved the problem that Larry's simproce cancle_numerals(?) returns
inconsistent inequality w/o rewriting it to False.

diff -r c1f3ff5feff1 -r 2c0251fada94 src/HOL/Nat.ML
--- a/src/HOL/Nat.ML	Sun Feb 24 21:47:33 2002 +0100
+++ b/src/HOL/Nat.ML	Mon Feb 25 10:42:34 2002 +0100
@@ -258,6 +258,18 @@
                                  delsimps [add_0_right]) 1);
 qed "add_eq_self_zero";
 
+(* a rather special thm needed for arith_tac: m+n = 0 may arise where m or n
+contain Suc. This contradiction must be detected. It cannot be detected by
+pulling Suc outside because this interferes with simprocs on
+numerals. Sigh. *)
+
+Goal "m ~= 0 ==> m+n ~= (0::nat)";
+by(Asm_full_simp_tac 1);
+qed "add_not_0_if_left_not_0";
+
+Goal "n ~= 0 ==> m+n ~= (0::nat)";
+by(Asm_full_simp_tac 1);
+qed "add_not_0_if_right_not_0";
 
 (**** Additional theorems about "less than" ****)
 
diff -r c1f3ff5feff1 -r 2c0251fada94 src/HOL/arith_data.ML
--- a/src/HOL/arith_data.ML	Sun Feb 24 21:47:33 2002 +0100
+++ b/src/HOL/arith_data.ML	Mon Feb 25 10:42:34 2002 +0100
@@ -366,7 +366,11 @@
 (* reduce contradictory <= to False.
    Most of the work is done by the cancel tactics.
 *)
-val add_rules = [add_0,add_0_right,Zero_not_Suc,Suc_not_Zero,le_0_eq,One_nat_def];
+val add_rules =
+ [add_0,add_0_right,Zero_not_Suc,Suc_not_Zero,le_0_eq,
+  add_not_0_if_left_not_0,add_not_0_if_right_not_0,
+  add_not_0_if_left_not_0 RS not_sym,add_not_0_if_right_not_0 RS not_sym,
+  One_nat_def];
 
 val add_mono_thms_nat = map (fn s => prove_goal (the_context ()) s
  (fn prems => [cut_facts_tac prems 1,