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<b>reconsider </b><font color="Maroon">zeroseq</font> = <a href="numbers.html#K5">NAT</a>  <a href="funcop_1.html#K2">--&gt;</a> 0 as   <a href="seq_1.html#NM1">Real_Sequence</a> <b>by </b><i><a class="ref" href="funcop_1.html#T57">FUNCOP_1:57</a></i>;<br/>
<a NAME="E2:8_1_1"/><i><font color="Green">E26</font></i>: 
for <font color="Olive">n</font> being   <a href="subset_1.html#M2">Element</a> of  <a href="numbers.html#K5">NAT</a>  holds  <font color="Maroon">zeroseq</font> <a href="seq_1.html#K2">.</a> <font color="Olive">n</font> <a href="hidden.html#R1">=</a> 0
 
<b>by </b><i><a class="ref" href="funcop_1.html#T13">FUNCOP_1:13</a></i>;<br/>
<a NAME="E3:8_1_1"/><i><font color="Green">E28</font></i>: 
<font color="Maroon">zeroseq</font> <a href="hidden.html#R2">in</a>  <a href="rsspace.html#K1" target="_self">the_set_of_RealSequences</a> 
 
<b>by </b><i/>;<br/>
<a NAME="E4:8_1_1"/><b>then </b><i><font color="Green">E31</font></i>: 
 <a href="rsspace.html#K2" target="_self">seq_id</a> <font color="Maroon">zeroseq</font> <a href="funct_2.html#R2">=</a> <font color="Maroon">zeroseq</font>
 
<b>by </b><i/>;<br/>
<b>reconsider </b><font color="Maroon">zeroseq</font> = <font color="Maroon">zeroseq</font> as    <a href="subset_1.html#M1">Element</a> of  <a href="rsspace.html#K1" target="_self">the_set_of_RealSequences</a>  <b>by </b><i/>;<br/>
<b>take </b>
<font color="Maroon">zeroseq</font>
;<br/>

<b>let </b><font color="Maroon">n</font> be   <a href="nat_1.html#NM1">Nat</a>;<br/>

<b>thus </b><a NAME="E6:8_1_1"/>
( <font color="Maroon">n</font> is    <a href="subset_1.html#M1">Element</a> of  <a href="numbers.html#K1">REAL</a>  &amp; <font color="Maroon">n</font> is    <a href="subset_1.html#M2">Element</a> of  <a href="numbers.html#K5">NAT</a>  implies <span class="p1">(<span class="default"><a href="rsspace.html#K2" target="_self">seq_id</a> <font color="Maroon">zeroseq</font></span>)</span> <a href="seq_1.html#K2">.</a> <font color="Maroon">n</font> <a href="hidden.html#R1">=</a> 0 )
 <b>by </b><i>, </i>;<br/>


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