--- a/src/HOL/List.ML Thu Feb 12 17:43:53 1998 +0100
+++ b/src/HOL/List.ML Thu Feb 12 17:53:05 1998 +0100
@@ -84,7 +84,7 @@
qed "length_rev";
Addsimps [length_rev];
-goal List.thy "!!xs. xs ~= [] ==> length(tl xs) = pred(length xs)";
+goal List.thy "!!xs. xs ~= [] ==> length(tl xs) = (length xs) - 1";
by (exhaust_tac "xs" 1);
by (ALLGOALS Asm_full_simp_tac);
qed "length_tl";
--- a/src/HOL/Power.thy Thu Feb 12 17:43:53 1998 +0100
+++ b/src/HOL/Power.thy Thu Feb 12 17:53:05 1998 +0100
@@ -19,7 +19,7 @@
binomial_0 "(0 choose k) = (if k = 0 then 1 else 0)"
binomial_Suc "(Suc n choose k) =
- (if k = 0 then 1 else (n choose pred k) + (n choose k))"
+ (if k = 0 then 1 else (n choose (k - 1)) + (n choose k))"
end