(* Title: HOLCF/ccc1.thy
ID: $Id$
Author: Franz Regensburger
Copyright 1993 Technische Universitaet Muenchen
Merge Theories Cprof, Sprod, Ssum, Up, Fix and
define constants for categorical reasoning
*)
ccc1 = Cprod3 + Sprod3 + Ssum3 + Up3 + Fix +
instance flat<chfin (flat_subclass_chfin)
consts
ID :: "'a -> 'a"
cfcomp :: "('b->'c)->('a->'b)->'a->'c"
syntax "@oo" :: "('b->'c)=>('a->'b)=>'a->'c" ("_ oo _" [101,100] 100)
translations "f1 oo f2" == "cfcomp`f1`f2"
defs
ID_def "ID ==(LAM x.x)"
oo_def "cfcomp == (LAM f g x.f`(g`x))"
end