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<div><span class="kw">theorem </span><a NAME="T40"><span class="comment"><font color="firebrick">:: NFCONT_4:40</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">n</font> being    <a href="subset_1.html#M1" title="SUBSET_1:mode.1">Element</a> of  <a href="numbers.html#NK1" title="NUMBERS:NK.1">NAT</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">f</font> being   <a href="partfun1.html#NM1" title="PARTFUN1:NM.1">PartFunc</a> of <a href="numbers.html#K1" title="NUMBERS:func.1">REAL</a>,<span class="p1">(<span class="default"><a href="euclid.html#K1" title="EUCLID:func.1">REAL</a> <font color="Olive" title="b1">n</font></span>)</span>  st <font color="Olive" title="b3">f</font> <a href="partfun1.html#K2" title="PARTFUN1:func.2">|</a> <font color="Olive" title="b2">X</font> is  <a href="nfcont_4.html#V2" title="NFCONT_4:attr.2">Lipschitzian</a>  holds <br/>(  <a href="nfcont_4.html#K2" title="NFCONT_4:func.2">-</a> <span class="p1">(<span class="default"><font color="Olive" title="b3">f</font> <a href="partfun1.html#K2" title="PARTFUN1:func.2">|</a> <font color="Olive" title="b2">X</font></span>)</span> is  <a href="nfcont_4.html#V2" title="NFCONT_4:attr.2">Lipschitzian</a>  &amp; <span class="p1"><a href="nfcont_4.html#K1" title="NFCONT_4:func.1">|.</a><span class="default"><font color="Olive" title="b3">f</font></span><a href="nfcont_4.html#K1" title="NFCONT_4:func.1">.|</a></span> <a href="partfun1.html#K2" title="PARTFUN1:func.2">|</a> <font color="Olive" title="b2">X</font> is  <a href="fcont_1.html#V2" title="FCONT_1:attr.2">Lipschitzian</a>  &amp; <span class="p1">(<span class="default"><a href="nfcont_4.html#K2" title="NFCONT_4:func.2">-</a> <font color="Olive" title="b3">f</font></span>)</span> <a href="partfun1.html#K2" title="PARTFUN1:func.2">|</a> <font color="Olive" title="b2">X</font> is  <a href="nfcont_4.html#V2" title="NFCONT_4:attr.2">Lipschitzian</a>  )</div></div>
