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<b>let </b><font color="Maroon">X</font> be   <a href="clvect_1.html#NM5">ComplexNormSpace</a>;<br/><b>let </b><font color="Maroon">f</font> be    <a href="subset_1.html#M2">Element</a> of  <a href="clopban1.html#K8">BoundedLinearOperators</a> <font color="Maroon">X</font>,<font color="Maroon">X</font>;<br/>



<a NAME="E1:14"/>
 <a href="partfun1.html#K6">id</a> the <a href="struct_0.html#U1">carrier</a> of <font color="Maroon">X</font> is  <a href="clopban1.html#V3">bounded</a> <a href="clopban1.html#NM1">LinearOperator</a> of <font color="Maroon">X</font>,<font color="Maroon">X</font>
 
<b>by </b><i/>;<br/>
<a NAME="E2:14"/><b>then </b>
 <a href="partfun1.html#K6">id</a> the <a href="struct_0.html#U1">carrier</a> of <font color="Maroon">X</font> is    <a href="subset_1.html#M2">Element</a> of  <a href="clopban1.html#K8">BoundedLinearOperators</a> <font color="Maroon">X</font>,<font color="Maroon">X</font>
 
<b>by </b><i><a class="ref" href="clopban1.html#D8">CLOPBAN1:def 8</a></i>;<br/>
<a NAME="E3:14"/><b>then </b><i><font color="Green">E42</font></i>: 
 <a href="clopban1.html#K11">modetrans</a> <span class="p1">(<span class="default"><a href="partfun1.html#K6">id</a> the <a href="struct_0.html#U1">carrier</a> of <font color="Maroon">X</font></span>)</span>,<font color="Maroon">X</font>,<font color="Maroon">X</font> <a href="funct_2.html#R2">=</a>  <a href="partfun1.html#K6">id</a> the <a href="struct_0.html#U1">carrier</a> of <font color="Maroon">X</font>
 
<b>by </b><i><a class="ref" href="clopban1.html#D10">CLOPBAN1:def 10</a></i>;<br/>
<b>thus </b><font color="Maroon">f</font> <a href="clopban2.html#K3" target="_self">*</a> <span class="p1">(<span class="default"><a href="clopban2.html#K6" target="_self">FuncUnit</a> <font color="Maroon">X</font></span>)</span> = 
 <a href="clopban1.html#K11">modetrans</a> <font color="Maroon">f</font>,<font color="Maroon">X</font>,<font color="Maroon">X</font>
<b>by </b><i>, </i>
<br/>.= 
<font color="Maroon">f</font>
<b>by </b><i><a class="ref" href="clopban1.html#D10">CLOPBAN1:def 10</a></i>
;<br/>

<b>thus </b><span class="p1">(<span class="default"><a href="clopban2.html#K6" target="_self">FuncUnit</a> <font color="Maroon">X</font></span>)</span> <a href="clopban2.html#K3" target="_self">*</a> <font color="Maroon">f</font> = 
 <a href="clopban1.html#K11">modetrans</a> <font color="Maroon">f</font>,<font color="Maroon">X</font>,<font color="Maroon">X</font>
<b>by </b><i>, </i>
<br/>.= 
<font color="Maroon">f</font>
<b>by </b><i><a class="ref" href="clopban1.html#D10">CLOPBAN1:def 10</a></i>
;<br/>


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