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<div><span class="kw">theorem </span><span class="lab"><font color="Green" title="E8">Th21</font></span>: <a NAME="T6"><span class="comment"><font color="firebrick">:: LOPBAN_9:6</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> being   <a href="lopban_8.html#NM2" title="LOPBAN_8:NM.2">BilinearOperator</a> of <font color="Olive" title="b1">X</font>,<font color="Olive" title="b2">Y</font>,<font color="Olive" title="b3">Z</font>  st (  for <font color="Olive" title="b5">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="b6">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="b4">f</font> <a href="lopban_8.html#K2" title="LOPBAN_8:func.2">.</a> (<font color="Olive" title="b5">x</font>,<font color="Olive" title="b6">y</font>) <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="struct_0.html#K4" title="STRUCT_0:func.4">0.</a> <font color="Olive" title="b3">Z</font> ) holds <br/><font color="Olive" title="b4">f</font> is  <a href="lopban_9.html#V1" title="LOPBAN_9:attr.1">Lipschitzian</a> </div></div>
