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<div>:: <span class="kw">deftheorem </span>   defines <a href="ndiff_7.html#K7" title="NDIFF_7:func.7">partdiff`1</a> <a onclick="hs(this)" href="javascript:()">NDIFF_7:def 6 : <br/></a><span> for <font color="Olive" title="b1">X</font>, <font color="Olive" title="b2">Y</font>, <font color="Olive" title="b3">W</font> being   <a href="normsp_1.html#NM1" title="NORMSP_1:NM.1">RealNormSpace</a><br/>  for <font color="Olive" title="b4">z</font> being   <a href="pre_topc.html#NM2" title="PRE_TOPC:NM.2">Point</a> of <span class="p1"><a href="prvect_3.html#K9" title="PRVECT_3:func.9">[:</a><span class="default"><font color="Olive" title="b1">X</font>,<font color="Olive" title="b2">Y</font></span><a href="prvect_3.html#K9" title="PRVECT_3:func.9">:]</a></span><br/>  for <font color="Olive" title="b5">f</font> being   <a href="struct_0.html#NM12" title="STRUCT_0:NM.12">PartFunc</a> of <span class="p1"><a href="prvect_3.html#K9" title="PRVECT_3:func.9">[:</a><span class="default"><font color="Olive" title="b1">X</font>,<font color="Olive" title="b2">Y</font></span><a href="prvect_3.html#K9" title="PRVECT_3:func.9">:]</a></span>,<font color="Olive" title="b3">W</font> holds   <a href="ndiff_7.html#K7" title="NDIFF_7:func.7">partdiff`1</a> (<font color="Olive" title="b5">f</font>,<font color="Olive" title="b4">z</font>) <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="ndiff_1.html#K3" title="NDIFF_1:func.3">diff</a> (<span class="p1">(<span class="default"><font color="Olive" title="b5">f</font> <a href="partfun1.html#K1" title="PARTFUN1:func.1">*</a> <span class="p2">(<span class="default"><a href="ndiff_7.html#K1" title="NDIFF_7:func.1">reproj1</a> <font color="Olive" title="b4">z</font></span>)</span></span>)</span>,<span class="p1">(<span class="default"><font color="Olive" title="b4">z</font> <a href="ndiff_7.html#K5" title="NDIFF_7:func.5">`1</a></span>)</span>);<br/></span></div>
