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<b>let </b><font color="Maroon">X</font> be  non <a href="xboole_0.html#V1">empty</a>  <a href="hidden.html#M1">set</a> ;<br/><b>let </b><font color="Maroon">Y</font> be   <a href="clvect_1.html#NM2">ComplexLinearSpace</a>;<br/><b>let </b><font color="Maroon">f</font> be    <a href="fraenkel.html#M2">Element</a> of  <a href="fraenkel.html#K1">Funcs</a> <font color="Maroon">X</font>,the <a href="struct_0.html#U1">carrier</a> of <font color="Maroon">Y</font>;<br/><b>let </b><font color="Maroon">g</font> be    <a href="fraenkel.html#M2">Element</a> of  <a href="fraenkel.html#K1">Funcs</a> <font color="Maroon">X</font>,the <a href="struct_0.html#U1">carrier</a> of <font color="Maroon">Y</font>;<br/>







<div><a class="txt" onclick="hs2(this)" href="javascript:()" title="6_1"><b>now </b></a><div class="add"><b>let </b><font color="Maroon">x</font> be    <a href="subset_1.html#M1">Element</a> of <font color="Maroon">X</font>;<br/><b>thus </b><span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="lopban_1.html#K2">FuncAdd</a> <font color="Maroon">X</font>,<font color="Maroon">Y</font></span>)</span> <a href="funcsdom.html#K1">.</a> <font color="Maroon">f</font>,<font color="Maroon">g</font></span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">x</font> = 
<span class="p1">(<span class="default"><font color="Maroon">g</font> <a href="funct_2.html#K3">.</a> <font color="Maroon">x</font></span>)</span> <a href="rlvect_1.html#K4">+</a> <span class="p1">(<span class="default"><font color="Maroon">f</font> <a href="funct_2.html#K3">.</a> <font color="Maroon">x</font></span>)</span>
<b>by </b><i><a class="ref" href="lopban_1.html#T3">LOPBAN_1:3</a></i>
<br/>.= 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="lopban_1.html#K2">FuncAdd</a> <font color="Maroon">X</font>,<font color="Maroon">Y</font></span>)</span> <a href="funcsdom.html#K1">.</a> <font color="Maroon">g</font>,<font color="Maroon">f</font></span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">x</font>
<b>by </b><i><a class="ref" href="lopban_1.html#T3">LOPBAN_1:3</a></i>
;<br/></div><b>end;</b></div>
<b>hence </b><a NAME="E2:6"/>
<span class="p1">(<span class="default"><a href="lopban_1.html#K2">FuncAdd</a> <font color="Maroon">X</font>,<font color="Maroon">Y</font></span>)</span> <a href="funcsdom.html#K1">.</a> <font color="Maroon">f</font>,<font color="Maroon">g</font> <a href="funct_2.html#R2">=</a> <span class="p1">(<span class="default"><a href="lopban_1.html#K2">FuncAdd</a> <font color="Maroon">X</font>,<font color="Maroon">Y</font></span>)</span> <a href="funcsdom.html#K1">.</a> <font color="Maroon">g</font>,<font color="Maroon">f</font>
 <b>by </b><i><a class="ref" href="funct_2.html#T113">FUNCT_2:113</a></i>;<br/>


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