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<div><span class="kw">theorem </span><a NAME="T38"><span class="comment"><font color="firebrick">:: PDIFF_3:38</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> 2</span>)</span>,<a href="numbers.html#K1" title="NUMBERS:func.1">REAL</a><br/>  for <font color="Olive" title="b2">z0</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> 2  st <font color="Olive" title="b1">f</font> <a href="pdiff_3.html#R2" title="PDIFF_3:pred.2">is_hpartial_differentiable`12_in</a> <font color="Olive" title="b2">z0</font> holds <br/> <a href="pdiff_2.html#K1" title="PDIFF_2:func.1">SVF1</a> (2,<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>,1)</span>)</span>,<font color="Olive" title="b2">z0</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> (2,2)</span>)</span> <a href="funct_2.html#K3" title="FUNCT_2:func.3">.</a> <font color="Olive" title="b2">z0</font> <span class="kw">by</span> <span class="lab"><a class="ref" href="pdiff_3.html#T10" target="_self" onmouseover="rs('pdiff_3/T10')" onmouseout="rh()">Th10</a>, <a class="ref" href="pdiff_2.html#T22" onmouseover="rs('pdiff_2/T22')" onmouseout="rh()">PDIFF_2:22</a></span>;<br/></div></div>
