clean up diff_bin_simps
authorhuffman
Wed, 10 Dec 2008 12:31:35 -0800
changeset 29046 773098b76201
parent 29045 3c8f48333731
child 29047 059bdb9813c6
clean up diff_bin_simps
src/HOL/Int.thy
--- a/src/HOL/Int.thy	Wed Dec 10 07:52:54 2008 -0800
+++ b/src/HOL/Int.thy	Wed Dec 10 12:31:35 2008 -0800
@@ -761,41 +761,18 @@
 
 text {* Subtraction *}
 
-lemma diff_Pls:
-  "Pls - k = - k"
-  unfolding numeral_simps by simp
-
-lemma diff_Min:
-  "Min - k = pred (- k)"
-  unfolding numeral_simps by simp
-
-lemma diff_Bit0_Bit0:
+lemma diff_bin_simps [simp]:
+  "k - Pls = k"
+  "k - Min = succ k"
+  "Pls - (Bit0 l) = Bit0 (Pls - l)"
+  "Pls - (Bit1 l) = Bit1 (Min - l)"
+  "Min - (Bit0 l) = Bit1 (Min - l)"
+  "Min - (Bit1 l) = Bit0 (Min - l)"
   "(Bit0 k) - (Bit0 l) = Bit0 (k - l)"
-  unfolding numeral_simps by simp
-
-lemma diff_Bit0_Bit1:
   "(Bit0 k) - (Bit1 l) = Bit1 (pred k - l)"
-  unfolding numeral_simps by simp
-
-lemma diff_Bit1_Bit0:
   "(Bit1 k) - (Bit0 l) = Bit1 (k - l)"
-  unfolding numeral_simps by simp
-
-lemma diff_Bit1_Bit1:
   "(Bit1 k) - (Bit1 l) = Bit0 (k - l)"
-  unfolding numeral_simps by simp
-
-lemma diff_Pls_right:
-  "k - Pls = k"
-  unfolding numeral_simps by simp
-
-lemma diff_Min_right:
-  "k - Min = succ k"
-  unfolding numeral_simps by simp
-
-lemmas diff_bin_simps [simp] =
-  diff_Pls diff_Min diff_Pls_right diff_Min_right
-  diff_Bit0_Bit0 diff_Bit0_Bit1 diff_Bit1_Bit0 diff_Bit1_Bit1
+  unfolding numeral_simps by simp_all
 
 text {* Multiplication *}