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<div><span class="kw">theorem </span><span class="lab"><font color="Green" title="E30">Th29</font></span>: <a NAME="T30"><span class="comment"><font color="firebrick">:: COMPUT_1:30</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">X</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> being   <a href="relat_1.html#NM1" title="RELAT_1:NM.1">Relation</a>  st  <a href="relat_1.html#NK2" title="RELAT_1:NK.2">rng</a> <font color="Olive" title="b2">F</font> <a href="tarski.html#R1" title="TARSKI:pred.1">c=</a>  <a href="comput_1.html#K2" title="COMPUT_1:func.2">HFuncs</a> <font color="Olive" title="b1">X</font> &amp; (  for <font color="Olive" title="b3">f</font>, <font color="Olive" title="b4">g</font> being   <a href="margrel1.html#V2" title="MARGREL1:attr.2">homogeneous</a>  <a href="funct_1.html#NM1" title="FUNCT_1:NM.1">Function</a>  st <font color="Olive" title="b3">f</font> <a href="tarski.html#R2" title="TARSKI:pred.2">in</a>  <a href="relat_1.html#NK2" title="RELAT_1:NK.2">rng</a> <font color="Olive" title="b2">F</font> &amp; <font color="Olive" title="b4">g</font> <a href="tarski.html#R2" title="TARSKI:pred.2">in</a>  <a href="relat_1.html#NK2" title="RELAT_1:NK.2">rng</a> <font color="Olive" title="b2">F</font> holds <br/> <a href="margrel1.html#K18" title="MARGREL1:func.18">arity</a> <font color="Olive" title="b3">f</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="margrel1.html#K18" title="MARGREL1:func.18">arity</a> <font color="Olive" title="b4">g</font> ) holds <br/><font color="Olive" title="b2">F</font> is  <a href="comput_1.html#V3" title="COMPUT_1:attr.3">with_the_same_arity</a> </div></div>
