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<b>let </b><font color="Maroon" title="c1">X</font> be   <a href="csspace.html#NM1" title="CSSPACE:NM.1">ComplexUnitarySpace</a>;<br/><b>let </b><font color="Maroon" title="c2">x</font> be   <a href="pre_topc.html#NM2" title="PRE_TOPC:NM.2">Point</a> of <font color="Maroon" title="c1">X</font>;<br/><b>let </b><font color="Maroon" title="c3">seq</font> be   <a href="normsp_1.html#NM2" title="NORMSP_1:NM.2">sequence</a> of <font color="Maroon" title="c1">X</font>;<br/>





<b>assume </b><a NAME="E1:71"/>
<font color="Maroon" title="c3">seq</font> is <a href="clvect_2.html#V2" title="CLVECT_2:attr.2">Cauchy</a>
 ;<br/>

<a NAME="E2:71"/><b>then </b>
<font color="Maroon" title="c3">seq</font> <a href="csspace.html#K17" title="CSSPACE:func.17">+</a> <span class="p1">(<span class="default"><a href="rlvect_1.html#K5" title="RLVECT_1:func.5">-</a> <font color="Maroon" title="c2">x</font></span>)</span> is <a href="clvect_2.html#V2" title="CLVECT_2:attr.2">Cauchy</a>
 
<b>by </b><i><a class="ref" href="clvect_2.html#T63" target="_self" title="CLVECT_2:th.63">Th63</a></i>;<br/>
<b>hence </b><a NAME="E3:71"/>
<font color="Maroon" title="c3">seq</font> <a href="clvect_1.html#K8" title="CLVECT_1:func.8">-</a> <font color="Maroon" title="c2">x</font> is <a href="clvect_2.html#V2" title="CLVECT_2:attr.2">Cauchy</a>
 <b>by </b><i><a class="ref" href="csspace.html#T78" title="CSSPACE:th.78">CSSPACE:78</a></i>;<br/>


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