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src/HOL/AxClasses/Semigroups.thy
author huffman
Mon, 23 Feb 2009 13:55:36 -0800
changeset 30078 beee83623cc9
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move lemma dvd_mod_imp_dvd into class semiring_div
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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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*)
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theory Semigroups imports Main begin








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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















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