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<div><span class="kw">theorem </span><a NAME="T54"><span class="comment"><font color="firebrick">:: HELLY:54</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">T</font> being   <a href="helly.html#NM1" title="HELLY:NM.1">_Tree</a><br/>  for <font color="Olive" title="b2">X</font> being   <a href="finset_1.html#V1" title="FINSET_1:attr.1">finite</a>   <a href="hidden.html#M2" title="HIDDEN:mode.2">set</a>   st (  for <font color="Olive" title="b3">x</font> being    <a href="hidden.html#M2" title="HIDDEN:mode.2">set</a>   st <font color="Olive" title="b3">x</font> <a href="tarski.html#R2" title="TARSKI:pred.2">in</a> <font color="Olive" title="b2">X</font> holds <br/> ex <font color="Olive" title="b4">t</font> being   <a href="helly.html#NM2" title="HELLY:NM.2">_Subtree</a> of <font color="Olive" title="b1">T</font> st <font color="Olive" title="b3">x</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="glib_000.html#K24" title="GLIB_000:func.24">the_Vertices_of</a> <font color="Olive" title="b4">t</font> ) holds <br/><font color="Olive" title="b2">X</font> is  <a href="helly.html#V1" title="HELLY:attr.1">with_Helly_property</a> </div></div>
