src/HOLCF/Porder0.thy
author kleing
Wed, 07 Jan 2004 07:52:12 +0100
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(*  Title:      HOLCF/Porder0.thy
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    ID:         $Id$
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    Author:     Franz Regensburger
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    License:    GPL (GNU GENERAL PUBLIC LICENSE)
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Definition of class porder (partial order).
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*)
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Porder0 = Main +
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	(* introduce a (syntactic) class for the constant << *)
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axclass sq_ord < type
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	(* characteristic constant << for po *)
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consts
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  "<<"          :: "['a,'a::sq_ord] => bool"        (infixl 55)
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syntax (xsymbols)
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  "op <<"       :: "['a,'a::sq_ord] => bool"        (infixl "\\<sqsubseteq>" 55)
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axclass po < sq_ord
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        (* class axioms: *)
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refl_less       "x << x"        
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antisym_less    "[|x << y; y << x |] ==> x = y"    
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trans_less      "[|x << y; y << z |] ==> x << z"
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end 
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