<?xml version="1.0"?>
<div><span class="kw">theorem </span><a NAME="T84"><span class="comment"><font color="firebrick">:: PDIFF_5:84</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">f</font> being   <a href="partfun1.html#NM1" title="PARTFUN1:NM.1">PartFunc</a> of <span class="p1">(<span class="default"><a href="euclid.html#K1" title="EUCLID:func.1">REAL</a> 3</span>)</span>,<a href="numbers.html#K1" title="NUMBERS:func.1">REAL</a><br/>  for <font color="Olive" title="b2">u0</font> being    <a href="finseq_2.html#M2" title="FINSEQ_2:mode.2">Element</a> of  <a href="euclid.html#K1" title="EUCLID:func.1">REAL</a> 3  st <font color="Olive" title="b1">f</font> <a href="pdiff_5.html#R9" title="PDIFF_5:pred.9">is_hpartial_differentiable`33_in</a> <font color="Olive" title="b2">u0</font> holds <br/> <a href="pdiff_2.html#K1" title="PDIFF_2:func.1">SVF1</a> (3,<span class="p1">(<span class="default"><a href="pdiff_3.html#K1" title="PDIFF_3:func.1">pdiff1</a> (<font color="Olive" title="b1">f</font>,3)</span>)</span>,<font color="Olive" title="b2">u0</font>) <a href="fcont_1.html#R1" title="FCONT_1:pred.1">is_continuous_in</a> <span class="p1">(<span class="default"><a href="pdiff_1.html#K1" title="PDIFF_1:func.1">proj</a> (3,3)</span>)</span> <a href="funct_2.html#K3" title="FUNCT_2:func.3">.</a> <font color="Olive" title="b2">u0</font> <span class="kw">by</span> <span class="lab"><a class="ref" href="pdiff_5.html#T27" target="_self" onmouseover="rs('pdiff_5/T27')" onmouseout="rh()">Th27</a>, <a class="ref" href="pdiff_4.html#T33" onmouseover="rs('pdiff_4/T33')" onmouseout="rh()">PDIFF_4:33</a></span>;<br/></div></div>
