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<div>:: <span class="kw">deftheorem </span><span class="lab"><font color="Green" title="E29">Def25</font></span>   defines <a href="glib_014.html#M1" title="GLIB_014:mode.1">GraphUnion</a> <a onclick="hs(this)" href="javascript:()">GLIB_014:def 25 : <br/></a><span> for <font color="Olive" title="b1">S</font> being   <a href="glib_014.html#NM1" title="GLIB_014:NM.1">GraphUnionSet</a><br/>  for <font color="Olive">b<sub>2</sub></font> being   <a href="glib_000.html#NM2" title="GLIB_000:NM.2">_Graph</a> holds <br/> ( <font color="Olive">b<sub>2</sub></font> is    <a href="glib_014.html#M1" title="GLIB_014:mode.1">GraphUnion</a> of <font color="Olive" title="b1">S</font> iff (  <a href="glib_000.html#K6" title="GLIB_000:func.6">the_Vertices_of</a> <font color="Olive">b<sub>2</sub></font> <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"><a href="glib_014.html#K1" title="GLIB_014:func.1">the_Vertices_of</a> <font color="Olive" title="b1">S</font></span>)</span> &amp;  <a href="glib_000.html#K7" title="GLIB_000:func.7">the_Edges_of</a> <font color="Olive">b<sub>2</sub></font> <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"><a href="glib_014.html#K2" title="GLIB_014:func.2">the_Edges_of</a> <font color="Olive" title="b1">S</font></span>)</span> &amp;  <a href="glib_000.html#K10" title="GLIB_000:func.10">the_Source_of</a> <font color="Olive">b<sub>2</sub></font> <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"><a href="glib_014.html#K3" title="GLIB_014:func.3">the_Source_of</a> <font color="Olive" title="b1">S</font></span>)</span> &amp;  <a href="glib_000.html#K11" title="GLIB_000:func.11">the_Target_of</a> <font color="Olive">b<sub>2</sub></font> <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"><a href="glib_014.html#K4" title="GLIB_014:func.4">the_Target_of</a> <font color="Olive" title="b1">S</font></span>)</span> ) );<br/></span></div>
