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src/HOLCF/Porder0.thy
author wenzelm
Thu, 15 Nov 2001 18:20:13 +0100
changeset 12207 4dff931b852f
parent 12114 a8e860c86252
child 12338 de0f4a63baa5
permissions -rw-r--r--
added Induct/Binary_Trees.thy, Induct/Tree_Forest (converted from former ex/TF.ML ex/TF.thy ex/Term.ML ex/Term.thy);

(*  Title:      HOLCF/Porder0.thy
    ID:         $Id$
    Author:     Franz Regensburger
    License:    GPL (GNU GENERAL PUBLIC LICENSE)

Definition of class porder (partial order).
*)

Porder0 = Main +

	(* introduce a (syntactic) class for the constant << *)
axclass sq_ord<term

	(* characteristic constant << for po *)
consts
  "<<"          :: "['a,'a::sq_ord] => bool"        (infixl 55)

syntax (xsymbols)
  "op <<"       :: "['a,'a::sq_ord] => bool"        (infixl "\\<sqsubseteq>" 55)

axclass po < sq_ord
        (* class axioms: *)
refl_less       "x << x"        
antisym_less    "[|x << y; y << x |] ==> x = y"    
trans_less      "[|x << y; y << z |] ==> x << z"
 
end
isabelle