src/HOLCF/Ssum1.thy
author slotosch
Sun, 25 May 1997 11:07:52 +0200
changeset 3323 194ae2e0c193
parent 2640 ee4dfce170a0
child 3842 b55686a7b22c
permissions -rw-r--r--
eliminated the constant less by the introduction of the axclass sq_ord added explicit type ::'a::po in the following theorems: minimal2UU,antisym_less_inverse,box_less,not_less2not_eq,monofun_pair and dist_eqI (in domain-package) added instances instance fun :: (term,sq_ord)sq_ord instance "->" :: (term,sq_ord)sq_ord instance "**" :: (sq_ord,sq_ord)sq_ord instance "*" :: (sq_ord,sq_ord)sq_ord instance "++" :: (pcpo,pcpo)sq_ord instance u :: (sq_ord)sq_ord instance lift :: (term)sq_ord instance discr :: (term)sq_ord

(*  Title:      HOLCF/Ssum1.thy
    ID:         $Id$
    Author:     Franz Regensburger
    Copyright   1993  Technische Universitaet Muenchen

Partial ordering for the strict sum ++
*)

Ssum1 = Ssum0 +

instance "++"::(pcpo,pcpo)sq_ord

defs
  less_ssum_def "(op <<) == (%s1 s2.@z.
         (! u x.s1=Isinl u & s2=Isinl x --> z = u << x)
        &(! v y.s1=Isinr v & s2=Isinr y --> z = v << y)
        &(! u y.s1=Isinl u & s2=Isinr y --> z = (u = UU))
        &(! v x.s1=Isinr v & s2=Isinl x --> z = (v = UU)))"

end