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<div><span class="kw">theorem </span><a NAME="T39"><span class="comment"><font color="firebrick">:: NDIFF_4:39</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">J</font> being   <a href="struct_0.html#NM4" title="STRUCT_0:NM.4">Function</a> of <span class="p1">(<span class="default"><a href="real_ns1.html#K4" title="REAL_NS1:func.4">REAL-NS</a> 1</span>)</span>,<a href="numbers.html#K1" title="NUMBERS:func.1">REAL</a><br/>  for <font color="Olive" title="b2">x0</font> being   <a href="pre_topc.html#NM2" title="PRE_TOPC:NM.2">Point</a> of <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="b1">J</font> <a href="funct_2.html#R1" title="FUNCT_2:pred.1">=</a>  <a href="pdiff_1.html#K1" title="PDIFF_1:func.1">proj</a> (1,1) holds <br/>( <font color="Olive" title="b1">J</font> <a href="ndiff_4.html#R3" title="NDIFF_4:pred.3">is_differentiable_in</a> <font color="Olive" title="b2">x0</font> &amp;  <a href="ndiff_4.html#K3" title="NDIFF_4:func.3">diff</a> (<font color="Olive" title="b1">J</font>,<font color="Olive" title="b2">x0</font>) <a href="funct_2.html#R2" title="FUNCT_2:pred.2">=</a> <font color="Olive" title="b1">J</font> )</div></div>
