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<div><span class="kw">theorem </span><span class="lab"><font color="Green" title="E28">Th28</font></span>: <a NAME="T28"><span class="comment"><font color="firebrick">:: PDIFF_5:28</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">u</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<br/>  for <font color="Olive" title="b2">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>  st <font color="Olive" title="b2">f</font> <a href="pdiff_5.html#R1" title="PDIFF_5:pred.1">is_hpartial_differentiable`11_in</a> <font color="Olive" title="b1">u</font> holds <br/> <a href="pdiff_5.html#K1" title="PDIFF_5:func.1">hpartdiff11</a> (<font color="Olive" title="b2">f</font>,<font color="Olive" title="b1">u</font>) <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="pdiff_1.html#K10" title="PDIFF_1:func.10">partdiff</a> (<span class="p1">(<span class="default"><a href="pdiff_3.html#K1" title="PDIFF_3:func.1">pdiff1</a> (<font color="Olive" title="b2">f</font>,1)</span>)</span>,<font color="Olive" title="b1">u</font>,1)</div></div>
