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<div><b>hereby </b>
<div class="add"><b>assume </b><a NAME="E1:92_1_1_1"/>
<font color="Maroon">GSq</font> is <a href="glib_000.html#V13" target="_self">halting</a>
 ;<br/><b>then consider </b><font color="Maroon">n</font> being    <a href="subset_1.html#M1">Element</a> of  <a href="numbers.html#K5">NAT</a> <b> such that </b><br/><a NAME="E3:92_1_1_1"/><i><font color="Green">E28</font></i>: 
<font color="Maroon">GSq</font> <a href="glib_000.html#K42" target="_self">.</a> <font color="Maroon">n</font> <a href="hidden.html#R1">=</a> <font color="Maroon">GSq</font> <a href="glib_000.html#K42" target="_self">.</a> <span class="p1">(<span class="default"><font color="Maroon">n</font> <a href="nat_1.html#K1">+</a> 1</span>)</span>
 <b>by </b><i/>;<br/><a NAME="E4:92_1_1_1"/>
<font color="Maroon">GSq</font> <a href="glib_000.html#K42" target="_self">.</a> <font color="Maroon">n</font> <a href="hidden.html#R1">=</a> <font color="Maroon">GSq</font> <a href="glib_000.html#K42" target="_self">.</a> <span class="p1">(<span class="default"><font color="Maroon">n</font> <a href="nat_1.html#K1">+</a> 1</span>)</span>
 <b>by </b><i><a class="ref" href="glib_000.html#D17" target="_self">Def17</a></i>;<br/><b>hence </b><a NAME="E5:92_1_1_1"/>
 ex <font color="Olive">n</font> being   <a href="subset_1.html#M1">Element</a> of  <a href="numbers.html#K5">NAT</a>  st <font color="Maroon">GSq</font> <a href="glib_000.html#K42" target="_self">.</a> <font color="Olive">n</font> <a href="hidden.html#R1">=</a> <font color="Maroon">GSq</font> <a href="glib_000.html#K42" target="_self">.</a> <span class="p1">(<span class="default"><font color="Olive">n</font> <a href="nat_1.html#K1">+</a> 1</span>)</span>
 ;<br/></div>
<b>end;</b></div>

<b>assume </b><a NAME="E2:92_1_1"/>
 ex <font color="Olive">n</font> being   <a href="subset_1.html#M1">Element</a> of  <a href="numbers.html#K5">NAT</a>  st <font color="Maroon">GSq</font> <a href="glib_000.html#K42" target="_self">.</a> <font color="Olive">n</font> <a href="hidden.html#R1">=</a> <font color="Maroon">GSq</font> <a href="glib_000.html#K42" target="_self">.</a> <span class="p1">(<span class="default"><font color="Olive">n</font> <a href="nat_1.html#K1">+</a> 1</span>)</span>
 ;<br/>

<b>then consider </b><font color="Maroon">n</font> being    <a href="subset_1.html#M1">Element</a> of  <a href="numbers.html#K5">NAT</a> <b> such that </b><br/><a NAME="E4:92_1_1"/><i><font color="Green">E29</font></i>: 
<font color="Maroon">GSq</font> <a href="glib_000.html#K42" target="_self">.</a> <font color="Maroon">n</font> <a href="hidden.html#R1">=</a> <font color="Maroon">GSq</font> <a href="glib_000.html#K42" target="_self">.</a> <span class="p1">(<span class="default"><font color="Maroon">n</font> <a href="nat_1.html#K1">+</a> 1</span>)</span>
 ;<br/>
<a NAME="E5:92_1_1"/>
<font color="Maroon">GSq</font> <a href="glib_000.html#K42" target="_self">.</a> <font color="Maroon">n</font> <a href="hidden.html#R1">=</a> <font color="Maroon">GSq</font> <a href="glib_000.html#K42" target="_self">.</a> <span class="p1">(<span class="default"><font color="Maroon">n</font> <a href="nat_1.html#K1">+</a> 1</span>)</span>
 
<b>by </b><i><a class="ref" href="glib_000.html#D17" target="_self">Def17</a></i>;<br/>
<b>hence </b><a NAME="E6:92_1_1"/>
<font color="Maroon">GSq</font> is <a href="glib_000.html#V13" target="_self">halting</a>
 <b>by </b><i/>;<br/>


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