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<div><span class="kw">theorem </span><a NAME="T42"><span class="comment"><font color="firebrick">:: PDIFF_4:42</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">p</font>, <font color="Olive" title="b2">a</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="b3">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> holds   <a href="pdiff_4.html#K6" title="PDIFF_4:func.6">Directiondiff</a> (<font color="Olive" title="b3">f</font>,<font color="Olive" title="b1">p</font>,<font color="Olive" title="b2">a</font>) <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1"><a href="rvsum_1.html#K22" title="RVSUM_1:func.22">|(</a><span class="default"><span class="p2">(<span class="default"><a href="pdiff_4.html#K4" title="PDIFF_4:func.4">grad</a> (<font color="Olive" title="b3">f</font>,<font color="Olive" title="b1">p</font>)</span>)</span>,<span class="p2">(<span class="default"><a href="pdiff_4.html#K5" title="PDIFF_4:func.5">unitvector</a> <font color="Olive" title="b2">a</font></span>)</span></span><a href="rvsum_1.html#K22" title="RVSUM_1:func.22">)|</a></span></div></div>
