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<div><span class="kw">theorem </span><span class="lab"><font color="Green" title="E28">Th34</font></span>: <a NAME="T34"><span class="comment"><font color="firebrick">:: GROUP_19:34</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">I</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">F</font>, <font color="Olive" title="b3">G</font> being   <a href="group_19.html#NM1" title="GROUP_19:NM.1">Group-Family</a> of <font color="Olive" title="b1">I</font><br/>  for <font color="Olive" title="b4">x</font>, <font color="Olive" title="b5">y</font> being   <a href="funct_1.html#NM1" title="FUNCT_1:NM.1">Function</a>  st (  for <font color="Olive" title="b6">i</font> being    <a href="subset_1.html#M1" title="SUBSET_1:mode.1">Element</a> of <font color="Olive" title="b1">I</font>  ex <font color="Olive" title="b7">hi</font> being   <a href="group_6.html#NM2" title="GROUP_6:NM.2">Homomorphism</a> of <span class="p1">(<span class="default"><font color="Olive" title="b2">F</font> <a href="group_19.html#K2" title="GROUP_19:func.2">.</a> <font color="Olive" title="b6">i</font></span>)</span>,<span class="p1">(<span class="default"><font color="Olive" title="b3">G</font> <a href="group_19.html#K2" title="GROUP_19:func.2">.</a> <font color="Olive" title="b6">i</font></span>)</span> st <font color="Olive" title="b5">y</font> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Olive" title="b6">i</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b7">hi</font> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <span class="p1">(<span class="default"><font color="Olive" title="b4">x</font> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Olive" title="b6">i</font></span>)</span> ) holds <br/> <a href="group_19.html#K3" title="GROUP_19:func.3">support</a> (<font color="Olive" title="b5">y</font>,<font color="Olive" title="b3">G</font>) <a href="tarski.html#R1" title="TARSKI:pred.1">c=</a>  <a href="group_19.html#K3" title="GROUP_19:func.3">support</a> (<font color="Olive" title="b4">x</font>,<font color="Olive" title="b2">F</font>)</div></div>
