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<div><span class="kw">theorem </span><span class="lab"><font color="Green" title="E6">Th5</font></span>: <a NAME="T5"><span class="comment"><font color="firebrick">:: LOPBAN_2:5</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">X</font> being   <a href="normsp_1.html#NM1" title="NORMSP_1:NM.1">RealNormSpace</a><br/>  for <font color="Olive" title="b2">f</font>, <font color="Olive" title="b3">g</font>, <font color="Olive" title="b4">h</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="b1">X</font>,<font color="Olive" title="b1">X</font> holds  <font color="Olive" title="b2">f</font> <a href="lopban_2.html#K1" title="LOPBAN_2:func.1">*</a> <span class="p1">(<span class="default"><font color="Olive" title="b3">g</font> <a href="lopban_2.html#K1" title="LOPBAN_2:func.1">*</a> <font color="Olive" title="b4">h</font></span>)</span> <a href="funct_2.html#R2" title="FUNCT_2:pred.2">=</a> <span class="p1">(<span class="default"><font color="Olive" title="b2">f</font> <a href="lopban_2.html#K1" title="LOPBAN_2:func.1">*</a> <font color="Olive" title="b3">g</font></span>)</span> <a href="lopban_2.html#K1" title="LOPBAN_2:func.1">*</a> <font color="Olive" title="b4">h</font></div></div>
