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<div><span class="kw">theorem </span><span class="lab"><font color="Green" title="E53">Th63</font></span>: <a NAME="T62"><span class="comment"><font color="firebrick">:: NDIFF13:62</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">E</font>, <font color="Olive" title="b2">F</font>, <font color="Olive" title="b3">G</font> being   <a href="normsp_1.html#NM1" title="NORMSP_1:NM.1">RealNormSpace</a><br/>  for <font color="Olive" title="b4">x</font> being   <a href="pre_topc.html#NM2" title="PRE_TOPC:NM.2">Point</a> of <span class="p1">(<span class="default"><a href="lopban_1.html#K16" title="LOPBAN_1:func.16">R_NormSpace_of_BoundedLinearOperators</a> (<font color="Olive" title="b1">E</font>,<font color="Olive" title="b2">F</font>)</span>)</span><br/>  for <font color="Olive" title="b5">L</font> being   <a href="pre_topc.html#NM2" title="PRE_TOPC:NM.2">Point</a> of <span class="p1">(<span class="default"><a href="lopban_1.html#K16" title="LOPBAN_1:func.16">R_NormSpace_of_BoundedLinearOperators</a> (<span class="p2">(<span class="default"><a href="lopban_1.html#K16" title="LOPBAN_1:func.16">R_NormSpace_of_BoundedLinearOperators</a> (<font color="Olive" title="b2">F</font>,<font color="Olive" title="b1">E</font>)</span>)</span>,<span class="p2">(<span class="default"><a href="lopban_1.html#K16" title="LOPBAN_1:func.16">R_NormSpace_of_BoundedLinearOperators</a> (<font color="Olive" title="b1">E</font>,<font color="Olive" title="b1">E</font>)</span>)</span>)</span>)</span>  st <font color="Olive" title="b4">x</font> is  <a href="lopban13.html#V1" title="LOPBAN13:attr.1">invertible</a>  &amp; (  for <font color="Olive" title="b6">y</font> being   <a href="pre_topc.html#NM2" title="PRE_TOPC:NM.2">Point</a> of <span class="p1">(<span class="default"><a href="lopban_1.html#K16" title="LOPBAN_1:func.16">R_NormSpace_of_BoundedLinearOperators</a> (<font color="Olive" title="b2">F</font>,<font color="Olive" title="b1">E</font>)</span>)</span> holds  <font color="Olive" title="b5">L</font> <a href="lopban_1.html#K17" title="LOPBAN_1:func.17">.</a> <font color="Olive" title="b6">y</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b6">y</font> <a href="ndiff_2.html#K2" title="NDIFF_2:func.2">*</a> <font color="Olive" title="b4">x</font> ) holds <br/><font color="Olive" title="b5">L</font> is  <a href="lopban13.html#V1" title="LOPBAN13:attr.1">invertible</a> </div></div>
