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<div><span class="kw">theorem </span><a NAME="T27"><span class="comment"><font color="firebrick">:: GLIB_013:27</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">V</font> being   non  <a href="xboole_0.html#V1" title="XBOOLE_0:attr.1">empty</a>   <a href="hidden.html#M2" title="HIDDEN:mode.2">set</a> <br/>  for <font color="Olive" title="b2">E</font> being    <a href="hidden.html#M2" title="HIDDEN:mode.2">set</a> <br/>  for <font color="Olive" title="b3">S</font>, <font color="Olive" title="b4">T</font> being   <a href="funct_2.html#NM1" title="FUNCT_2:NM.1">Function</a> of <font color="Olive" title="b2">E</font>,<font color="Olive" title="b1">V</font>  st (  for <font color="Olive" title="b5">v</font> being    <a href="subset_1.html#M1" title="SUBSET_1:mode.1">Element</a> of <font color="Olive" title="b1">V</font> holds <br/> ( <font color="Olive" title="b3">S</font> <a href="relset_1.html#K8" title="RELSET_1:func.8">"</a> <span class="p1"><a href="domain_1.html#K6" title="DOMAIN_1:func.6">{</a><span class="default"><font color="Olive" title="b5">v</font></span><a href="domain_1.html#K6" title="DOMAIN_1:func.6">}</a></span> is  <a href="finset_1.html#V1" title="FINSET_1:attr.1">finite</a>  &amp; <font color="Olive" title="b4">T</font> <a href="relset_1.html#K8" title="RELSET_1:func.8">"</a> <span class="p1"><a href="domain_1.html#K6" title="DOMAIN_1:func.6">{</a><span class="default"><font color="Olive" title="b5">v</font></span><a href="domain_1.html#K6" title="DOMAIN_1:func.6">}</a></span> is  <a href="finset_1.html#V1" title="FINSET_1:attr.1">finite</a>  ) ) holds <br/> <a href="glib_000.html#K12" title="GLIB_000:func.12">createGraph</a> (<font color="Olive" title="b1">V</font>,<font color="Olive" title="b2">E</font>,<font color="Olive" title="b3">S</font>,<font color="Olive" title="b4">T</font>) is  <a href="glib_013.html#V5" title="GLIB_013:attr.5">locally-finite</a> </div></div>
