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<div><span class="kw">theorem </span><span class="lab"><font color="Green" title="E33">LM210</font></span>: <a NAME="T35"><span class="comment"><font color="firebrick">:: NDIFF_7:35</font></span><br/></a><div class="add"> 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 <br/> (  <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_5.html#K5" title="NDIFF_5:func.5">partdiff</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"><span class="p3">(<span class="default"><a href="ndiff_7.html#K3" title="NDIFF_7:func.3">IsoCPNrSP</a> (<font color="Olive" title="b1">X</font>,<font color="Olive" title="b2">Y</font>)</span>)</span> <a href="ndiff_7.html#K4" title="NDIFF_7:func.4">"</a></span>)</span></span>)</span>,<span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="ndiff_7.html#K3" title="NDIFF_7:func.3">IsoCPNrSP</a> (<font color="Olive" title="b1">X</font>,<font color="Olive" title="b2">Y</font>)</span>)</span> <a href="funct_2.html#K3" title="FUNCT_2:func.3">.</a> <font color="Olive" title="b4">z</font></span>)</span>,1) &amp;  <a href="ndiff_7.html#K8" title="NDIFF_7:func.8">partdiff`2</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_5.html#K5" title="NDIFF_5:func.5">partdiff</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"><span class="p3">(<span class="default"><a href="ndiff_7.html#K3" title="NDIFF_7:func.3">IsoCPNrSP</a> (<font color="Olive" title="b1">X</font>,<font color="Olive" title="b2">Y</font>)</span>)</span> <a href="ndiff_7.html#K4" title="NDIFF_7:func.4">"</a></span>)</span></span>)</span>,<span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="ndiff_7.html#K3" title="NDIFF_7:func.3">IsoCPNrSP</a> (<font color="Olive" title="b1">X</font>,<font color="Olive" title="b2">Y</font>)</span>)</span> <a href="funct_2.html#K3" title="FUNCT_2:func.3">.</a> <font color="Olive" title="b4">z</font></span>)</span>,2) )</div></div>
