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<div><span class="kw">theorem </span><a NAME="T5"><span class="comment"><font color="firebrick">:: GLIB_000:5</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">GS</font> being   <a href="glib_000.html#NM1" title="GLIB_000:NM.1">GraphStruct</a> holds <br/> ( <font color="Olive" title="b1">GS</font> is  <a href="glib_000.html#V1" title="GLIB_000:attr.1">[Graph-like]</a>  iff (  <a href="glib_000.html#K5" title="GLIB_000:func.5">_GraphSelectors</a>  <a href="tarski.html#R1" title="TARSKI:pred.1">c=</a>  <a href="relset_1.html#K1" title="RELSET_1:func.1">dom</a> <font color="Olive" title="b1">GS</font> &amp;  not  <a href="glib_000.html#K6" title="GLIB_000:func.6">the_Vertices_of</a> <font color="Olive" title="b1">GS</font> is  <a href="xboole_0.html#V1" title="XBOOLE_0:attr.1">empty</a>  &amp;  <a href="glib_000.html#K8" title="GLIB_000:func.8">the_Source_of</a> <font color="Olive" title="b1">GS</font> is   <a href="funct_2.html#NM1" title="FUNCT_2:NM.1">Function</a> of <span class="p1">(<span class="default"><a href="glib_000.html#K7" title="GLIB_000:func.7">the_Edges_of</a> <font color="Olive" title="b1">GS</font></span>)</span>,<span class="p1">(<span class="default"><a href="glib_000.html#K6" title="GLIB_000:func.6">the_Vertices_of</a> <font color="Olive" title="b1">GS</font></span>)</span> &amp;  <a href="glib_000.html#K9" title="GLIB_000:func.9">the_Target_of</a> <font color="Olive" title="b1">GS</font> is   <a href="funct_2.html#NM1" title="FUNCT_2:NM.1">Function</a> of <span class="p1">(<span class="default"><a href="glib_000.html#K7" title="GLIB_000:func.7">the_Edges_of</a> <font color="Olive" title="b1">GS</font></span>)</span>,<span class="p1">(<span class="default"><a href="glib_000.html#K6" title="GLIB_000:func.6">the_Vertices_of</a> <font color="Olive" title="b1">GS</font></span>)</span> ) ) <span class="kw">by</span> <span class="lab"><a class="txt" href="glib_000.html#E13"><span class="lab"><font color="Green" title="E2">Lm1</font></span></a></span>;<br/></div></div>
