src/HOLCF/Sprod3.thy
author lcp
Mon, 21 Nov 1994 10:51:40 +0100
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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	"@spair"     :: "'a => 'b => ('a**'b)" ("_##_" [101,100] 100)
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translations "x##y" == "spair[x][y]"
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rules 
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inst_sprod_pcpo	"(UU::'a**'b) = Ispair(UU,UU)"
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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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