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<div><span class="kw">theorem </span><span class="lab"><font color="Green" title="E8">Th12</font></span>: <a NAME="T12"><span class="comment"><font color="firebrick">:: NDIFF_2:12</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">S</font>, <font color="Olive" title="b2">T</font>, <font color="Olive" title="b3">U</font> being   <a href="normsp_1.html#NM1" title="NORMSP_1:NM.1">RealNormSpace</a><br/>  for <font color="Olive" title="b4">R1</font> being   <a href="ndiff_1.html#NM1" title="NDIFF_1:NM.1">RestFunc</a> of <font color="Olive" title="b1">S</font>,<font color="Olive" title="b2">T</font>  st <font color="Olive" title="b4">R1</font> <a href="partfun1.html#K7" title="PARTFUN1:func.7">/.</a> <span class="p1">(<span class="default"><a href="struct_0.html#K4" title="STRUCT_0:func.4">0.</a> <font color="Olive" title="b1">S</font></span>)</span> <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="b2">T</font> holds <br/> for <font color="Olive" title="b5">R2</font> being   <a href="ndiff_1.html#NM1" title="NDIFF_1:NM.1">RestFunc</a> of <font color="Olive" title="b2">T</font>,<font color="Olive" title="b3">U</font>  st <font color="Olive" title="b5">R2</font> <a href="partfun1.html#K7" title="PARTFUN1:func.7">/.</a> <span class="p1">(<span class="default"><a href="struct_0.html#K4" title="STRUCT_0:func.4">0.</a> <font color="Olive" title="b2">T</font></span>)</span> <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">U</font> holds <br/> for <font color="Olive" title="b6">L1</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">S</font>,<font color="Olive" title="b2">T</font><br/>  for <font color="Olive" title="b7">L2</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="b2">T</font>,<font color="Olive" title="b3">U</font> holds  <span class="p1">(<span class="default"><font color="Olive" title="b7">L2</font> <a href="partfun1.html#K1" title="PARTFUN1:func.1">*</a> <font color="Olive" title="b4">R1</font></span>)</span> <a href="vfunct_1.html#K6" title="VFUNCT_1:func.6">+</a> <span class="p1">(<span class="default"><font color="Olive" title="b5">R2</font> <a href="partfun1.html#K1" title="PARTFUN1:func.1">*</a> <span class="p2">(<span class="default"><font color="Olive" title="b6">L1</font> <a href="vfunct_1.html#K6" title="VFUNCT_1:func.6">+</a> <font color="Olive" title="b4">R1</font></span>)</span></span>)</span> is   <a href="ndiff_1.html#NM1" title="NDIFF_1:NM.1">RestFunc</a> of <font color="Olive" title="b1">S</font>,<font color="Olive" title="b3">U</font></div></div>
