src/HOL/AxClasses/Semigroups.thy
author paulson
Sun, 15 Feb 2004 10:46:37 +0100
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Polymorphic treatment of binary arithmetic using axclasses
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(*  Title:      HOL/AxClasses/Semigroups.thy
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    ID:         $Id$
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    Author:     Markus Wenzel, TU Muenchen
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    License:    GPL (GNU GENERAL PUBLIC LICENSE)
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*)
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theory Semigroups = Main:
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consts
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  times :: "'a => 'a => 'a"    (infixl "[*]" 70)
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axclass semigroup < type
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  assoc: "(x [*] y) [*] z = x [*] (y [*] z)"
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consts
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  plus :: "'a => 'a => 'a"    (infixl "[+]" 70)
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axclass plus_semigroup < type
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  assoc: "(x [+] y) [+] z = x [+] (y [+] z)"
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end