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<b>let </b><font color="Maroon">S</font> be  non <a href="realset2.html#V3">trivial</a> <a href="normsp_1.html#NM1">RealNormSpace</a>;<br/><b>let </b><font color="Maroon">T</font> be  non <a href="realset2.html#V3">trivial</a> <a href="normsp_1.html#NM1">RealNormSpace</a>;<br/><b>let </b><font color="Maroon">U</font> be  non <a href="realset2.html#V3">trivial</a> <a href="normsp_1.html#NM1">RealNormSpace</a>;<br/><b>let </b><font color="Maroon">R1</font> be   <a href="ndiff_1.html#NM1">REST</a> of <font color="Maroon">S</font>,<font color="Maroon">T</font>;<br/>







<b>assume </b><a NAME="E1:16"/><i><font color="Green">E34</font></i>: 
<font color="Maroon">R1</font> <a href="finseq_4.html#K4">/.</a> <span class="p1">(<span class="default"><a href="rlvect_1.html#K1">0.</a> <font color="Maroon">S</font></span>)</span> <a href="hidden.html#R1">=</a>  <a href="rlvect_1.html#K1">0.</a> <font color="Maroon">T</font>
 ;<br/>

<b>let </b><font color="Maroon">R2</font> be   <a href="ndiff_1.html#NM1">REST</a> of <font color="Maroon">T</font>,<font color="Maroon">U</font>;<br/>

<b>assume </b><a NAME="E2:16"/><i><font color="Green">E39</font></i>: 
<font color="Maroon">R2</font> <a href="finseq_4.html#K4">/.</a> <span class="p1">(<span class="default"><a href="rlvect_1.html#K1">0.</a> <font color="Maroon">T</font></span>)</span> <a href="hidden.html#R1">=</a>  <a href="rlvect_1.html#K1">0.</a> <font color="Maroon">U</font>
 ;<br/>

<b>let </b><font color="Maroon">L1</font> be  <a href="lopban_1.html#V3">bounded</a> <a href="lopban_1.html#NM1">LinearOperator</a> of <font color="Maroon">S</font>,<font color="Maroon">T</font>;<br/><b>let </b><font color="Maroon">L2</font> be  <a href="lopban_1.html#V3">bounded</a> <a href="lopban_1.html#NM1">LinearOperator</a> of <font color="Maroon">T</font>,<font color="Maroon">U</font>;<br/>



<a NAME="E3:16"/><i><font color="Green">E40</font></i>: 
<font color="Maroon">L2</font> <a href="partfun1.html#K1">*</a> <font color="Maroon">R1</font> is   <a href="ndiff_1.html#NM1">REST</a> of <font color="Maroon">S</font>,<font color="Maroon">U</font>
 
<b>by </b><i/>;<br/>
<a NAME="E4:16"/>
<font color="Maroon">R2</font> <a href="partfun1.html#K1">*</a> <span class="p1">(<span class="default"><font color="Maroon">L1</font> <a href="vfunct_1.html#K1">+</a> <font color="Maroon">R1</font></span>)</span> is   <a href="ndiff_1.html#NM1">REST</a> of <font color="Maroon">S</font>,<font color="Maroon">U</font>
 
<b>by </b><i>, , </i>;<br/>
<b>hence </b><a NAME="E5:16"/>
<span class="p1">(<span class="default"><font color="Maroon">L2</font> <a href="partfun1.html#K1">*</a> <font color="Maroon">R1</font></span>)</span> <a href="vfunct_1.html#K1">+</a> <span class="p1">(<span class="default"><font color="Maroon">R2</font> <a href="partfun1.html#K1">*</a> <span class="p2">(<span class="default"><font color="Maroon">L1</font> <a href="vfunct_1.html#K1">+</a> <font color="Maroon">R1</font></span>)</span></span>)</span> is   <a href="ndiff_1.html#NM1">REST</a> of <font color="Maroon">S</font>,<font color="Maroon">U</font>
 <b>by </b><i>, <a class="ref" href="ndiff_1.html#T33">NDIFF_1:33</a></i>;<br/>


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