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<div><span class="kw">theorem </span><span class="lab"><font color="Green" title="E13">AlphaCut1</font></span>: <a NAME="T16"><span class="comment"><font color="firebrick">:: FUZNUM_1:16</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">C</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="fuznum_1.html#NM1" title="FUZNUM_1:NM.1">FuzzySet</a> of <font color="Olive" title="b1">C</font><br/>  for <font color="Olive" title="b3">alpha</font> being   <a href="xreal_0.html#NM1" title="XREAL_0:NM.1">Real</a> holds  <font color="Olive" title="b3">alpha</font> <a href="fuznum_1.html#K1" title="FUZNUM_1:func.1">-cut</a> <font color="Olive" title="b2">F</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b2">F</font> <a href="relset_1.html#K8" title="RELSET_1:func.8">"</a> <span class="p1"><a href="rcomp_1.html#K1" title="RCOMP_1:func.1">[.</a><span class="default"><font color="Olive" title="b3">alpha</font>,1</span><a href="rcomp_1.html#K1" title="RCOMP_1:func.1">.]</a></span></div></div>
