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<div><span class="kw">theorem </span><span class="lab"><font color="Green" title="E17">Th30</font></span>: <a NAME="T14"><span class="comment"><font color="firebrick">:: LOPBAN_9:14</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_9.html#V1" title="LOPBAN_9:attr.1">Lipschitzian</a>  <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> holds  <span class="p1">(<span class="default"><a href="lopban_9.html#K9" title="LOPBAN_9:func.9">BoundedBilinearOperatorsNorm</a> (<font color="Olive" title="b1">X</font>,<font color="Olive" title="b2">Y</font>,<font color="Olive" title="b3">Z</font>)</span>)</span> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Olive" title="b4">f</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="seq_4.html#K2" title="SEQ_4:func.2">upper_bound</a> <span class="p1">(<span class="default"><a href="lopban_9.html#K8" title="LOPBAN_9:func.8">PreNorms</a> <font color="Olive" title="b4">f</font></span>)</span></div></div>
