src/HOLCF/Sprod3.thy
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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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    Copyright   1993 Technische Universitaet Muenchen
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Class instance of  ** for class pcpo
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*)
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Sprod3 = Sprod2 +
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arities "**" :: (pcpo,pcpo)pcpo                 (* Witness sprod2.ML *)
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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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syntax (symbols)
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  "@stuple"	:: "['a, args] => 'a ** 'b"		("(1\\<lparr>_,/ _\\<rparr>)")
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rules 
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inst_sprod_pcpo "(UU::'a**'b) = Ispair UU UU"
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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
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