isabelle: src/HOL/Algebra/abstract/Factor.thy@71d87aeebb57 (annotated)

7998 3d0c34795831 Algebra and Polynomial theories, by Clemens Ballarin paulson parents: diff changeset	1	(*
3d0c34795831 Algebra and Polynomial theories, by Clemens Ballarin paulson parents: diff changeset	2	Factorisation within a factorial domain
3d0c34795831 Algebra and Polynomial theories, by Clemens Ballarin paulson parents: diff changeset	3	$Id$
3d0c34795831 Algebra and Polynomial theories, by Clemens Ballarin paulson parents: diff changeset	4	Author: Clemens Ballarin, started 25 November 1997
3d0c34795831 Algebra and Polynomial theories, by Clemens Ballarin paulson parents: diff changeset	5	*)
3d0c34795831 Algebra and Polynomial theories, by Clemens Ballarin paulson parents: diff changeset	6
3d0c34795831 Algebra and Polynomial theories, by Clemens Ballarin paulson parents: diff changeset	7	Factor = Ring +
3d0c34795831 Algebra and Polynomial theories, by Clemens Ballarin paulson parents: diff changeset	8
3d0c34795831 Algebra and Polynomial theories, by Clemens Ballarin paulson parents: diff changeset	9	consts
13735 7de9342aca7a HOL-Algebra partially ported to Isar. ballarin parents: 7998 diff changeset	10	Factorisation :: ['a::ring, 'a list, 'a] => bool
7998 3d0c34795831 Algebra and Polynomial theories, by Clemens Ballarin paulson parents: diff changeset	11	(* factorisation of x into a list of irred factors and a unit u *)
3d0c34795831 Algebra and Polynomial theories, by Clemens Ballarin paulson parents: diff changeset	12
3d0c34795831 Algebra and Polynomial theories, by Clemens Ballarin paulson parents: diff changeset	13	defs
3d0c34795831 Algebra and Polynomial theories, by Clemens Ballarin paulson parents: diff changeset	14	Factorisation_def "Factorisation x factors u ==
3d0c34795831 Algebra and Polynomial theories, by Clemens Ballarin paulson parents: diff changeset	15	x = foldr op* factors u &
13735 7de9342aca7a HOL-Algebra partially ported to Isar. ballarin parents: 7998 diff changeset	16	(ALL a : set factors. irred a) & u dvd 1"
7998 3d0c34795831 Algebra and Polynomial theories, by Clemens Ballarin paulson parents: diff changeset	17
3d0c34795831 Algebra and Polynomial theories, by Clemens Ballarin paulson parents: diff changeset	18	end

author	wenzelm
	Thu, 14 Jul 2005 19:28:16 +0200
changeset 16834	71d87aeebb57
parent 13735	7de9342aca7a
child 17479	68a7acb5f22e
permissions	-rw-r--r--