src/HOLCF/Discrete0.ML
author wenzelm
Sat, 01 Dec 2001 18:52:32 +0100
changeset 12338 de0f4a63baa5
parent 12030 46d57d0290a2
child 14981 e73f8140af78
permissions -rw-r--r--
renamed class "term" to "type" (actually "HOL.type");

(*  Title:      HOLCF/Discrete0.ML
    ID:         $Id$
    Author:     Tobias Nipkow
    License:    GPL (GNU GENERAL PUBLIC LICENSE)

Proves that 'a discr is a po
*)

Goalw [less_discr_def] "(x::('a::type)discr) << x";
by (rtac refl 1);
qed "less_discr_refl";

Goalw [less_discr_def]
  "!!x. [| (x::('a::type)discr) << y; y << z |] ==> x <<  z";
by (etac trans 1);
by (assume_tac 1);
qed "less_discr_trans";

Goalw [less_discr_def]
  "!!x. [| (x::('a::type)discr) << y; y << x |] ==> x=y";
by (assume_tac 1);
qed "less_discr_antisym";