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<div>:: <span class="kw">deftheorem </span>   defines <a href="nfcont_4.html#V2" title="NFCONT_4:attr.2">Lipschitzian</a> <a onclick="hs(this)" href="javascript:()">NFCONT_4:def 6 : <br/></a><span> 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">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> holds <br/> ( <font color="Olive" title="b2">f</font> is  <a href="nfcont_4.html#V2" title="NFCONT_4:attr.2">Lipschitzian</a>  iff  ex <font color="Olive" title="b3">g</font> being   <a href="struct_0.html#NM11" title="STRUCT_0:NM.11">PartFunc</a> of <a href="numbers.html#K1" title="NUMBERS:func.1">REAL</a>,<span class="p1">(<span class="default"><a href="real_ns1.html#K4" title="REAL_NS1:func.4">REAL-NS</a> <font color="Olive" title="b1">n</font></span>)</span> st <br/>( <font color="Olive" title="b3">g</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b2">f</font> &amp; <font color="Olive" title="b3">g</font> is  <a href="nfcont_3.html#V2" title="NFCONT_3:attr.2">Lipschitzian</a>  ) );<br/></span></div>
