src/HOL/Ord.ML
author clasohm
Tue, 21 Nov 1995 12:41:52 +0100
changeset 1350 5bf4a54ba25f
parent 923 ff1574a81019
child 1465 5d7a7e439cec
permissions -rw-r--r--
replaced exit_use by exit_use_dir for subdirectories

(*  Title: 	HOL/Ord.ML
    ID:         $Id$
    Author: 	Tobias Nipkow, Cambridge University Computer Laboratory
    Copyright   1993  University of Cambridge

The type class for ordered types
*)

open Ord;

val [prem] = goalw Ord.thy [mono_def]
    "[| !!A B. A <= B ==> f(A) <= f(B) |] ==> mono(f)";
by (REPEAT (ares_tac [allI, impI, prem] 1));
qed "monoI";

val [major,minor] = goalw Ord.thy [mono_def]
    "[| mono(f);  A <= B |] ==> f(A) <= f(B)";
by (rtac (major RS spec RS spec RS mp) 1);
by (rtac minor 1);
qed "monoD";