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<div><span class="kw">theorem </span><a NAME="T81"><span class="comment"><font color="firebrick">:: CARDFIL4:81</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="funct_2.html#NM1" title="FUNCT_2:NM.1">Function</a> of <font color="Olive" title="b1">X</font>,<a href="numbers.html#K1" title="NUMBERS:func.1">REAL</a> holds  <font color="Olive" title="b2">f</font> is   <a href="struct_0.html#NM5" title="STRUCT_0:NM.5">Function</a> of <font color="Olive" title="b1">X</font>,<a href="topmetr.html#K3" title="TOPMETR:func.3">R^1</a> ;<br/></div></div>
