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<div><span class="kw">theorem </span><span class="lab"><font color="Green" title="E39">Th47</font></span>: <a NAME="T46"><span class="comment"><font color="firebrick">:: NDIFF13:46</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">E</font>, <font color="Olive" title="b2">F</font> being   <a href="normsp_1.html#NM1" title="NORMSP_1:NM.1">RealNormSpace</a>  ex <font color="Olive" title="b3">L20</font> being   <a href="lopban_1.html#V2" title="LOPBAN_1:attr.2">Lipschitzian</a>  <a href="lopban_1.html#NM1" title="LOPBAN_1:NM.1">LinearOperator</a> of <font color="Olive" title="b2">F</font>,<span class="p1"><a href="prvect_3.html#K9" title="PRVECT_3:func.9">[:</a><span class="default"><font color="Olive" title="b1">E</font>,<font color="Olive" title="b2">F</font></span><a href="prvect_3.html#K9" title="PRVECT_3:func.9">:]</a></span> st <br/> for <font color="Olive" title="b4">dy</font> being   <a href="pre_topc.html#NM2" title="PRE_TOPC:NM.2">Point</a> of <font color="Olive" title="b2">F</font> holds  <font color="Olive" title="b3">L20</font> <a href="funct_2.html#K3" title="FUNCT_2:func.3">.</a> <font color="Olive" title="b4">dy</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1"><a href="prvect_3.html#K10" title="PRVECT_3:func.10">[</a><span class="default"><span class="p2">(<span class="default"><a href="struct_0.html#K4" title="STRUCT_0:func.4">0.</a> <font color="Olive" title="b1">E</font></span>)</span>,<font color="Olive" title="b4">dy</font></span><a href="prvect_3.html#K10" title="PRVECT_3:func.10">]</a></span></div></div>
