src/HOL/ex/NatSum.thy
author clasohm
Wed, 22 Mar 1995 12:42:34 +0100
changeset 969 b051e2fc2e34
child 1376 92f83b9d17e1
permissions -rw-r--r--
converted ex with curried function application

(*  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