src/HOL/ex/NatSum.thy
author wenzelm
Wed, 16 Apr 1997 18:53:36 +0200
changeset 2967 89db5eedecab
parent 1476 608483c2122a
child 3269 eca2a3634acd
permissions -rw-r--r--
removed lceil, rceil, lfloor, rfloor;

(*  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