<?xml version="1.0"?>
<div><span class="kw">theorem </span><a NAME="T37"><span class="comment"><font color="firebrick">:: NDIFF_4:37</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">x0</font> being   <a href="xreal_0.html#NM1" title="XREAL_0:NM.1">Real</a><br/>  for <font color="Olive" title="b2">I</font> being   <a href="struct_0.html#NM5" title="STRUCT_0:NM.5">Function</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> 1</span>)</span>  st <font color="Olive" title="b2">I</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default"><a href="pdiff_1.html#K1" title="PDIFF_1:func.1">proj</a> (1,1)</span>)</span> <a href="funct_1.html#K2" title="FUNCT_1:func.2">"</a>  holds <br/>( <font color="Olive" title="b2">I</font> <a href="ndiff_3.html#R1" title="NDIFF_3:pred.1">is_differentiable_in</a> <font color="Olive" title="b1">x0</font> &amp;  <a href="ndiff_3.html#K1" title="NDIFF_3:func.1">diff</a> (<font color="Olive" title="b2">I</font>,<font color="Olive" title="b1">x0</font>) <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1"><a href="finseq_1.html#K12" title="FINSEQ_1:func.12">&lt;*</a><span class="default">1</span><a href="finseq_1.html#K12" title="FINSEQ_1:func.12">*&gt;</a></span> )</div></div>
