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<div><span class="kw">theorem </span><a NAME="T13"><span class="comment"><font color="firebrick">:: GRAPH_1:13</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">G1</font>, <font color="Olive" title="b2">G2</font>, <font color="Olive" title="b3">G3</font> being   <a href="graph_1.html#NM3" title="GRAPH_1:NM.3">Graph</a>  st  ex <font color="Olive" title="b4">G</font> being   <a href="graph_1.html#NM3" title="GRAPH_1:NM.3">Graph</a> st <br/>( <font color="Olive" title="b1">G1</font> <a href="graph_1.html#R4" title="GRAPH_1:pred.4">c=</a> <font color="Olive" title="b4">G</font> &amp; <font color="Olive" title="b2">G2</font> <a href="graph_1.html#R4" title="GRAPH_1:pred.4">c=</a> <font color="Olive" title="b4">G</font> &amp; <font color="Olive" title="b3">G3</font> <a href="graph_1.html#R4" title="GRAPH_1:pred.4">c=</a> <font color="Olive" title="b4">G</font> ) holds <br/><span class="p1">(<span class="default"><font color="Olive" title="b1">G1</font> <a href="graph_1.html#K5" title="GRAPH_1:func.5">\/</a> <font color="Olive" title="b2">G2</font></span>)</span> <a href="graph_1.html#K5" title="GRAPH_1:func.5">\/</a> <font color="Olive" title="b3">G3</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b1">G1</font> <a href="graph_1.html#K5" title="GRAPH_1:func.5">\/</a> <span class="p1">(<span class="default"><font color="Olive" title="b2">G2</font> <a href="graph_1.html#K5" title="GRAPH_1:func.5">\/</a> <font color="Olive" title="b3">G3</font></span>)</span></div></div>
