src/HOLCF/Sprod3.thy
author wenzelm
Sat, 03 Nov 2001 01:41:26 +0100
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GPLed;
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(*  Title:      HOLCF/sprod3.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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Class instance of  ** for class pcpo
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*)
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Sprod3 = Sprod2 +
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instance "**" :: (pcpo,pcpo)pcpo  (least_sprod,cpo_sprod)
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consts  
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  spair		:: "'a -> 'b -> ('a**'b)" (* continuous strict pairing *)
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  sfst		:: "('a**'b)->'a"
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  ssnd		:: "('a**'b)->'b"
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  ssplit	:: "('a->'b->'c)->('a**'b)->'c"
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syntax  
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  "@stuple"	:: "['a, args] => 'a ** 'b"	("(1'(:_,/ _:'))")
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translations
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        "(:x, y, z:)"   == "(:x, (:y, z:):)"
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        "(:x, y:)"      == "spair$x$y"
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defs
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spair_def       "spair  == (LAM x y. Ispair x y)"
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sfst_def        "sfst   == (LAM p. Isfst p)"
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ssnd_def        "ssnd   == (LAM p. Issnd p)"     
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ssplit_def      "ssplit == (LAM f. strictify$(LAM p. f$(sfst$p)$(ssnd$p)))"
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end