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<div><span class="kw">theorem </span><a NAME="T5"><span class="comment"><font color="firebrick">:: ABIAN:5</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">E</font> being    <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">E</font>,<font color="Olive" title="b1">E</font><br/>  for <font color="Olive" title="b3">sE</font> being   non  <a href="xboole_0.html#V1" title="XBOOLE_0:attr.1">empty</a>   <a href="abian.html#V3" title="ABIAN:attr.3">covering</a>  <a href="setfam_1.html#NM1" title="SETFAM_1:NM.1">Subset-Family</a> of <font color="Olive" title="b1">E</font>  st (  for <font color="Olive" title="b4">X</font> being    <a href="subset_1.html#M2" title="SUBSET_1:mode.2">Element</a> of <font color="Olive" title="b3">sE</font> holds  <font color="Olive" title="b4">X</font> <a href="xboole_0.html#R1" title="XBOOLE_0:pred.1">misses</a> <font color="Olive" title="b2">f</font> <a href="relat_1.html#K7" title="RELAT_1:func.7">.:</a> <font color="Olive" title="b4">X</font> ) holds <br/><font color="Olive" title="b2">f</font> is  <a href="abian.html#NV5" title="ABIAN:NV.5">without_fixpoints</a> </div></div>
