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<div><span class="kw">theorem </span><span class="lab"><font color="Green" title="E39">Th65</font></span>: <a NAME="T65"><span class="comment"><font color="firebrick">:: GLIB_015:65</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">S</font> being   <a href="glib_015.html#V1" title="GLIB_015:attr.1">vertex-disjoint</a>  <a href="glib_014.html#NM1" title="GLIB_014:NM.1">GraphUnionSet</a><br/>  for <font color="Olive" title="b2">G</font> being    <a href="glib_014.html#M1" title="GLIB_014:mode.1">GraphUnion</a> of <font color="Olive" title="b1">S</font> holds  <font color="Olive" title="b2">G</font> <a href="glib_002.html#K3" title="GLIB_002:func.3">.componentSet()</a>  <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="tarski.html#K3" title="TARSKI:func.3">union</a> <span class="p1"> { <span class="default"> <span class="p2">(<span class="default"><font color="Olive" title="b3">H</font> <a href="glib_002.html#K3" title="GLIB_002:func.3">.componentSet()</a></span>)</span> where <font color="Olive" title="b3">H</font> is    <a href="subset_1.html#M1" title="SUBSET_1:mode.1">Element</a> of <font color="Olive" title="b1">S</font> : verum </span> } </span> </div></div>
