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<div><span class="kw">theorem </span><span class="lab"><font color="Green" title="E22">Th35</font></span>: <a NAME="T19"><span class="comment"><font color="firebrick">:: LOPBAN_9:19</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">Z</font> being   <a href="normsp_1.html#NM1" title="NORMSP_1:NM.1">RealNormSpace</a><br/>  for <font color="Olive" title="b4">f</font>, <font color="Olive" title="b5">g</font>, <font color="Olive" title="b6">h</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_9.html#K10" title="LOPBAN_9:func.10">R_NormSpace_of_BoundedBilinearOperators</a> (<font color="Olive" title="b1">X</font>,<font color="Olive" title="b2">Y</font>,<font color="Olive" title="b3">Z</font>)</span>)</span> holds <br/> ( <font color="Olive" title="b6">h</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b4">f</font> <a href="algstr_0.html#K1" title="ALGSTR_0:func.1">+</a> <font color="Olive" title="b5">g</font> iff  for <font color="Olive" title="b7">x</font> being   <a href="rlvect_1.html#NM1" title="RLVECT_1:NM.1">VECTOR</a> of <font color="Olive" title="b1">X</font><br/>  for <font color="Olive" title="b8">y</font> being   <a href="rlvect_1.html#NM1" title="RLVECT_1:NM.1">VECTOR</a> of <font color="Olive" title="b2">Y</font> holds  <font color="Olive" title="b6">h</font> <a href="lopban_9.html#K11" title="LOPBAN_9:func.11">.</a> (<font color="Olive" title="b7">x</font>,<font color="Olive" title="b8">y</font>) <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default"><font color="Olive" title="b4">f</font> <a href="lopban_9.html#K11" title="LOPBAN_9:func.11">.</a> (<font color="Olive" title="b7">x</font>,<font color="Olive" title="b8">y</font>)</span>)</span> <a href="rlvect_1.html#K3" title="RLVECT_1:func.3">+</a> <span class="p1">(<span class="default"><font color="Olive" title="b5">g</font> <a href="lopban_9.html#K11" title="LOPBAN_9:func.11">.</a> (<font color="Olive" title="b7">x</font>,<font color="Olive" title="b8">y</font>)</span>)</span> )</div></div>
