changeset 969 | b051e2fc2e34 |
child 1376 | 92f83b9d17e1 |
--- /dev/null Thu Jan 01 00:00:00 1970 +0000 +++ b/src/HOL/ex/NatSum.thy Wed Mar 22 12:42:34 1995 +0100 @@ -0,0 +1,13 @@ +(* Title: HOL/ex/natsum.thy + ID: $Id$ + Author: Tobias Nipkow + Copyright 1994 TU Muenchen + +A summation operator. sum(f,n+1) is the sum of all f(i), i=0...n. +*) + +NatSum = Arith + +consts sum :: "[nat=>nat, nat] => nat" +rules sum_0 "sum f 0 = 0" + sum_Suc "sum f (Suc n) = f(n) + sum f n" +end