src/HOLCF/Tr2.thy
author clasohm
Tue, 07 Feb 1995 11:59:32 +0100
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child 1168 74be52691d62
permissions -rw-r--r--
added qed, qed_goal[w]
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(*  Title: 	HOLCF/tr2.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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Introduce infix if_then_else_fi and boolean connectives andalso, orelse
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*)
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Tr2 = Tr1 +
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consts
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	Icifte		:: "tr -> 'c -> 'c -> 'c"
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	trand		:: "tr -> tr -> tr"
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	tror		:: "tr -> tr -> tr"
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        neg		:: "tr -> tr"
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syntax 	"@cifte"	:: "tr=>'c=>'c=>'c"
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                             ("(3If _/ (then _/ else _) fi)" 60)
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	"@andalso"	:: "tr => tr => tr" ("_ andalso _" [36,35] 35)
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	"@orelse"	:: "tr => tr => tr" ("_ orelse _"  [31,30] 30)
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translations "x andalso y" == "trand[x][y]"
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             "x orelse y"  == "tror[x][y]"
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             "If b then e1 else e2 fi" == "Icifte[b][e1][e2]"
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rules
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  ifte_def    "Icifte == (LAM t e1 e2.tr_when[e1][e2][t])"
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  andalso_def "trand == (LAM t1 t2.tr_when[t2][FF][t1])"
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  orelse_def  "tror  == (LAM t1 t2.tr_when[TT][t2][t1])"
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  neg_def     "neg == (LAM t. tr_when[FF][TT][t])"
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end
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