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<div><span class="kw">theorem </span><span class="lab"><font color="Green" title="E38">Th43</font></span>: <a NAME="T43"><span class="comment"><font color="firebrick">:: TOPS_5:43</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">f</font> being   <a href="relat_1.html#V2" title="RELAT_1:attr.2">non-empty</a>  <a href="funct_1.html#NM1" title="FUNCT_1:NM.1">Function</a><br/>  for <font color="Olive" title="b2">X</font> being    <a href="hidden.html#M2" title="HIDDEN:mode.2">set</a> <br/>  for <font color="Olive" title="b3">i</font> being    <a href="hidden.html#M1" title="HIDDEN:mode.1">object</a>   st <font color="Olive" title="b3">i</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a>  <a href="relat_1.html#NK1" title="RELAT_1:NK.1">dom</a> <font color="Olive" title="b1">f</font> &amp; <font color="Olive" title="b2">X</font> <a href="tarski.html#R1" title="TARSKI:pred.1">c=</a> <font color="Olive" title="b1">f</font> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Olive" title="b3">i</font> holds <br/><span class="p1">(<span class="default"><a href="card_3.html#K12" title="CARD_3:func.12">proj</a> (<font color="Olive" title="b1">f</font>,<font color="Olive" title="b3">i</font>)</span>)</span> <a href="relat_1.html#K7" title="RELAT_1:func.7">.:</a> <span class="p1">(<span class="default"><a href="card_3.html#K4" title="CARD_3:func.4">product</a> <span class="p2">(<span class="default"><font color="Olive" title="b1">f</font> <a href="funct_7.html#K1" title="FUNCT_7:func.1">+*</a> (<font color="Olive" title="b3">i</font>,<font color="Olive" title="b2">X</font>)</span>)</span></span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b2">X</font></div></div>
