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<b>let </b><font color="Maroon">n</font> be    <a href="subset_1.html#M1">Element</a> of  <a href="numbers.html#K5">NAT</a> ;<br/><b>let </b><font color="Maroon">z1</font> be    <a href="finseq_2.html#M2">Element</a> of  <a href="complsp1.html#K8" target="_self">COMPLEX</a> <font color="Maroon">n</font>;<br/><b>let </b><font color="Maroon">x</font> be    <a href="finseq_2.html#M2">Element</a> of  <a href="complsp1.html#K8" target="_self">COMPLEX</a> <font color="Maroon">n</font>;<br/><b>let </b><font color="Maroon">A</font> be   <a href="subset_1.html#NM2">Subset</a> of <span class="p1">(<span class="default"><a href="complsp1.html#K8" target="_self">COMPLEX</a> <font color="Maroon">n</font></span>)</span>;<br/>







<a NAME="E1:91"/>
<font color="Maroon">x</font> <a href="complsp1.html#K9" target="_self">+</a> <span class="p1">(<span class="default"><font color="Maroon">z1</font> <a href="complsp1.html#K13" target="_self">-</a> <font color="Maroon">x</font></span>)</span> <a href="hidden.html#R1">=</a> <font color="Maroon">z1</font>
 
<b>by </b><i><a class="txt" href="complsp1.html#E13"><i><font color="Green">Lemma40</font></i></a></i>;<br/>
<b>hence </b><a NAME="E2:91"/>
( <font color="Maroon">A</font> <a href="hidden.html#NR2" target="_self">&lt;&gt;</a>  <a href="xboole_0.html#K1">{}</a>  implies <span class="p1"><a href="complsp1.html#K16" target="_self">|.</a><span class="default"><span class="p2">(<span class="default"><font color="Maroon">z1</font> <a href="complsp1.html#K13" target="_self">-</a> <font color="Maroon">x</font></span>)</span></span><a href="complsp1.html#K16" target="_self">.|</a></span> <a href="binop_2.html#K9">+</a> <span class="p1">(<span class="default"><a href="complsp1.html#K18" target="_self">dist</a> <font color="Maroon">x</font>,<font color="Maroon">A</font></span>)</span> <a href="xxreal_0.html#NR2" target="_self">&gt;=</a>  <a href="complsp1.html#K18" target="_self">dist</a> <font color="Maroon">z1</font>,<font color="Maroon">A</font> )
 <b>by </b><i><a class="ref" href="complsp1.html#T31" target="_self">Th31</a></i>;<br/>


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