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<div><span class="kw">theorem </span><a NAME="T9"><span class="comment"><font color="firebrick">:: GLIB_014:9</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">S1</font>, <font color="Olive" title="b2">S2</font> being   <a href="glib_014.html#V1" title="GLIB_014:attr.1">Graph-membered</a>   <a href="hidden.html#M2" title="HIDDEN:mode.2">set</a>  holds <br/> (  <a href="glib_014.html#K1" title="GLIB_014:func.1">the_Vertices_of</a> <span class="p1">(<span class="default"><font color="Olive" title="b1">S1</font> <a href="xboole_0.html#K3" title="XBOOLE_0:func.3">/\</a> <font color="Olive" title="b2">S2</font></span>)</span> <a href="tarski.html#R1" title="TARSKI:pred.1">c=</a> <span class="p1">(<span class="default"><a href="glib_014.html#K1" title="GLIB_014:func.1">the_Vertices_of</a> <font color="Olive" title="b1">S1</font></span>)</span> <a href="xboole_0.html#K3" title="XBOOLE_0:func.3">/\</a> <span class="p1">(<span class="default"><a href="glib_014.html#K1" title="GLIB_014:func.1">the_Vertices_of</a> <font color="Olive" title="b2">S2</font></span>)</span> &amp;  <a href="glib_014.html#K2" title="GLIB_014:func.2">the_Edges_of</a> <span class="p1">(<span class="default"><font color="Olive" title="b1">S1</font> <a href="xboole_0.html#K3" title="XBOOLE_0:func.3">/\</a> <font color="Olive" title="b2">S2</font></span>)</span> <a href="tarski.html#R1" title="TARSKI:pred.1">c=</a> <span class="p1">(<span class="default"><a href="glib_014.html#K2" title="GLIB_014:func.2">the_Edges_of</a> <font color="Olive" title="b1">S1</font></span>)</span> <a href="xboole_0.html#K3" title="XBOOLE_0:func.3">/\</a> <span class="p1">(<span class="default"><a href="glib_014.html#K2" title="GLIB_014:func.2">the_Edges_of</a> <font color="Olive" title="b2">S2</font></span>)</span> &amp;  <a href="glib_014.html#K3" title="GLIB_014:func.3">the_Source_of</a> <span class="p1">(<span class="default"><font color="Olive" title="b1">S1</font> <a href="xboole_0.html#K3" title="XBOOLE_0:func.3">/\</a> <font color="Olive" title="b2">S2</font></span>)</span> <a href="tarski.html#R1" title="TARSKI:pred.1">c=</a> <span class="p1">(<span class="default"><a href="glib_014.html#K3" title="GLIB_014:func.3">the_Source_of</a> <font color="Olive" title="b1">S1</font></span>)</span> <a href="xboole_0.html#K3" title="XBOOLE_0:func.3">/\</a> <span class="p1">(<span class="default"><a href="glib_014.html#K3" title="GLIB_014:func.3">the_Source_of</a> <font color="Olive" title="b2">S2</font></span>)</span> &amp;  <a href="glib_014.html#K4" title="GLIB_014:func.4">the_Target_of</a> <span class="p1">(<span class="default"><font color="Olive" title="b1">S1</font> <a href="xboole_0.html#K3" title="XBOOLE_0:func.3">/\</a> <font color="Olive" title="b2">S2</font></span>)</span> <a href="tarski.html#R1" title="TARSKI:pred.1">c=</a> <span class="p1">(<span class="default"><a href="glib_014.html#K4" title="GLIB_014:func.4">the_Target_of</a> <font color="Olive" title="b1">S1</font></span>)</span> <a href="xboole_0.html#K3" title="XBOOLE_0:func.3">/\</a> <span class="p1">(<span class="default"><a href="glib_014.html#K4" title="GLIB_014:func.4">the_Target_of</a> <font color="Olive" title="b2">S2</font></span>)</span> )</div></div>
