# HG changeset patch # User paulson # Date 939809002 -7200 # Node ID 03fd460cb8b80737b3f62364477516c22bbc598d # Parent 5aca258fedcf8965a8bbdd403b2229bd6340ea1a new theorem set_mono diff -r 5aca258fedcf -r 03fd460cb8b8 src/HOL/UNITY/GenPrefix.ML --- a/src/HOL/UNITY/GenPrefix.ML Tue Oct 12 19:14:06 1999 +0200 +++ b/src/HOL/UNITY/GenPrefix.ML Wed Oct 13 12:03:22 1999 +0200 @@ -226,6 +226,12 @@ by Auto_tac; qed "prefix_less_le"; +(*Monotonicity of "set" operator WRT prefix*) +Goalw [prefix_def] "xs <= ys ==> set xs <= set ys"; +by (etac genPrefix.induct 1); +by Auto_tac; +qed "set_mono"; + (** recursion equations **)