X-Git-Url: http://gitweb.michael.orlitzky.com/?p=mjotex.git;a=blobdiff_plain;f=mjo-convex.tex;fp=mjo-convex.tex;h=a51011f4613ef1e0635d4f73e2b567b2afd3e598;hp=985731e68db59a8baacbbdd432b920d564daf1a0;hb=1b921ba1f02499f5784ddb87fd59c0621255042c;hpb=bd3eeb942bc06aee3717638865ec9503b3fdd535

diff --git a/mjo-convex.tex b/mjo-convex.tex
index 985731e..a51011f 100644
--- a/mjo-convex.tex
+++ b/mjo-convex.tex
@@ -24,3 +24,7 @@
 
 % The ``Extreme vectors'' (or ``Extreme directions'') operator.
 \newcommand*{\Ext}[1]{ \operatorname{Ext} \of{{#1}} }
+
+% The "is a face of" and "is a proper face of" relations.
+\newcommand*{\faceof}{ \trianglelefteq }
+\newcommand*{\properfaceof}{ \triangleleft }