Ord.ML

HOL/subset.thy, equalities.thy, mono.thy: new
HOL/Lfp.thy: now depends upon mono
HOL/Gfp.thy: depends upon Lfp, not just mono

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));
val monoI = result();

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);
val monoD = result();