isabelle: src/HOL/ex/NatSum.thy@b595116eb3c4 (annotated)

1476 608483c2122a expanded tabs; incorporated Konrad's changes clasohm parents: 1376 diff changeset	1	(* Title: HOL/ex/natsum.thy
969 b051e2fc2e34 converted ex with curried function application clasohm parents: diff changeset	2	ID: $Id$
1476 608483c2122a expanded tabs; incorporated Konrad's changes clasohm parents: 1376 diff changeset	3	Author: Tobias Nipkow
969 b051e2fc2e34 converted ex with curried function application clasohm parents: diff changeset	4	Copyright 1994 TU Muenchen
b051e2fc2e34 converted ex with curried function application clasohm parents: diff changeset	5
b051e2fc2e34 converted ex with curried function application clasohm parents: diff changeset	6	A summation operator. sum(f,n+1) is the sum of all f(i), i=0...n.
b051e2fc2e34 converted ex with curried function application clasohm parents: diff changeset	7	*)
b051e2fc2e34 converted ex with curried function application clasohm parents: diff changeset	8
b051e2fc2e34 converted ex with curried function application clasohm parents: diff changeset	9	NatSum = Arith +
1376 92f83b9d17e1 removed quotes from consts and syntax sections clasohm parents: 969 diff changeset	10	consts sum :: [nat=>nat, nat] => nat
3269 eca2a3634acd Function "sum" now defined using primrec paulson parents: 1476 diff changeset	11	primrec "sum" nat
eca2a3634acd Function "sum" now defined using primrec paulson parents: 1476 diff changeset	12	"sum f 0 = 0"
eca2a3634acd Function "sum" now defined using primrec paulson parents: 1476 diff changeset	13	"sum f (Suc n) = f(n) + sum f n"
eca2a3634acd Function "sum" now defined using primrec paulson parents: 1476 diff changeset	14
969 b051e2fc2e34 converted ex with curried function application clasohm parents: diff changeset	15	end

author	wenzelm
	Wed, 24 Dec 1997 12:38:40 +0100
changeset 4481	b595116eb3c4
parent 3269	eca2a3634acd
child 5184	9b8547a9496a
permissions	-rw-r--r--