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<div><span class="kw">theorem </span><span class="lab"><font color="Green" title="E10">Th8</font></span>: <a NAME="T8"><span class="comment"><font color="firebrick">:: GLIB_013:8</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">G1</font>, <font color="Olive" title="b2">G2</font> being   <a href="glib_000.html#NM2" title="GLIB_000:NM.2">_Graph</a>  st <font color="Olive" title="b1">G1</font> <a href="glib_000.html#R5" title="GLIB_000:pred.5">==</a> <font color="Olive" title="b2">G2</font> holds <br/>( ( <font color="Olive" title="b1">G1</font> is  <a href="glib_013.html#V1" title="GLIB_013:attr.1">vertex-finite</a>  implies <font color="Olive" title="b2">G2</font> is  <a href="glib_013.html#V1" title="GLIB_013:attr.1">vertex-finite</a>  ) &amp; ( <font color="Olive" title="b1">G1</font> is  <a href="glib_013.html#V2" title="GLIB_013:attr.2">edge-finite</a>  implies <font color="Olive" title="b2">G2</font> is  <a href="glib_013.html#V2" title="GLIB_013:attr.2">edge-finite</a>  ) ) <span class="kw">by</span> <span class="lab"><a class="ref" href="glib_000.html#D34" onmouseover="rs('glib_000/D34')" onmouseout="rh()">GLIB_000:def 34</a></span>;<br/></div></div>
