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<b>consider </b><font color="Maroon">L</font> being   <a href="ordinal1.html#NM3">T-Sequence</a><b> such that </b><br/><a NAME="E2:63_1"/>
<font color="Maroon">F<sub>2</sub></font>(<span class="p1">(<span class="default"><a href="relat_1.html#K1">dom</a> <font color="Maroon">F<sub>1</sub></font>()</span>)</span>) <a href="hidden.html#R1">=</a> <font color="Maroon">F<sub>3</sub></font>(<font color="Maroon">L</font>)
 <b>and </b><br/><a NAME="E3:63_1"/><i><font color="Green">E22</font></i>: 
 <a href="relat_1.html#K1">dom</a> <font color="Maroon">L</font> <a href="hidden.html#R1">=</a>  <a href="relat_1.html#K1">dom</a> <font color="Maroon">F<sub>1</sub></font>()
 <b>and </b><br/><a NAME="E4:63_1"/><i><font color="Green">E23</font></i>: 
for <font color="Olive">B</font> being  <a href="ordinal1.html#NM2">Ordinal</a>  st <font color="Olive">B</font> <a href="hidden.html#R2">in</a>  <a href="relat_1.html#K1">dom</a> <font color="Maroon">F<sub>1</sub></font>() holds <br/><font color="Maroon">L</font> <a href="funct_1.html#K1">.</a> <font color="Olive">B</font> <a href="hidden.html#R1">=</a> <font color="Maroon">F<sub>3</sub></font>(<span class="p1">(<span class="default"><font color="Maroon">L</font> <a href="ordinal1.html#K2" target="_self">|</a> <font color="Olive">B</font></span>)</span>)
 <b>by </b><i><a class="ref" href="ordinal1.html#T14" target="_self">Th14</a></i>;<br/>
<div><a class="txt" onclick="hs2(this)" href="javascript:()" title="63_1_1"><b>now </b></a><div class="add"><b>let </b><font color="Maroon">b</font> be    <a href="hidden.html#M1">set</a> ;<br/><b>assume </b><a NAME="E1:63_1_1"/><i><font color="Green">E24</font></i>: 
<font color="Maroon">b</font> <a href="hidden.html#R2">in</a>  <a href="relat_1.html#K1">dom</a> <font color="Maroon">L</font>
 ;<br/><b>then reconsider </b><font color="Maroon">B</font> = <font color="Maroon">b</font> as   <a href="ordinal1.html#NM2">Ordinal</a> <b>by </b><i/>;<br/><div><a class="txt" onclick="hs2(this)" href="javascript:()" title="63_1_1_1"><b>now </b></a><div class="add"><b>take </b><font color="Maroon">K</font> = <font color="Maroon">L</font> <a href="ordinal1.html#K2" target="_self">|</a> <font color="Maroon">B</font>;<br/><b>thus </b><a NAME="E1:63_1_1_1"/>
<font color="Maroon">F<sub>3</sub></font>(<span class="p1">(<span class="default"><font color="Maroon">L</font> <a href="ordinal1.html#K2" target="_self">|</a> <font color="Maroon">B</font></span>)</span>) <a href="hidden.html#R1">=</a> <font color="Maroon">F<sub>3</sub></font>(<font color="Maroon">K</font>)
 ;<br/><a NAME="E2:63_1_1_1"/><i><font color="Green">E25</font></i>: 
<font color="Maroon">B</font> <a href="ordinal1.html#R1" target="_self">c=</a>  <a href="relat_1.html#K1">dom</a> <font color="Maroon">L</font>
 <b>by </b><i>, </i>;<br/><b>hence </b><a NAME="E3:63_1_1_1"/>
 <a href="relat_1.html#K1">dom</a> <font color="Maroon">K</font> <a href="hidden.html#R1">=</a> <font color="Maroon">B</font>
 <b>by </b><i><a class="ref" href="relat_1.html#T91">RELAT_1:91</a></i>;<br/><b>let </b><font color="Maroon">C</font> be   <a href="ordinal1.html#NM2">Ordinal</a>;<br/><b>assume </b><a NAME="E4:63_1_1_1"/><i><font color="Green">E26</font></i>: 
<font color="Maroon">C</font> <a href="hidden.html#R2">in</a> <font color="Maroon">B</font>
 ;<br/><a NAME="E5:63_1_1_1"/><b>then </b>
( <font color="Maroon">C</font> <a href="hidden.html#R2">in</a>  <a href="relat_1.html#K1">dom</a> <font color="Maroon">F<sub>1</sub></font>() &amp; <font color="Maroon">C</font> <a href="ordinal1.html#R1" target="_self">c=</a> <font color="Maroon">B</font> )
 <b>by </b><i>, <a class="ref" href="ordinal1.html#D2" target="_self">Def2</a>, </i>;<br/><a NAME="E6:63_1_1_1"/><b>then </b>
( <font color="Maroon">K</font> <a href="funct_1.html#K1">.</a> <font color="Maroon">C</font> <a href="hidden.html#R1">=</a> <font color="Maroon">L</font> <a href="funct_1.html#K1">.</a> <font color="Maroon">C</font> &amp; <font color="Maroon">L</font> <a href="ordinal1.html#K2" target="_self">|</a> <font color="Maroon">C</font> <a href="hidden.html#R1">=</a> <font color="Maroon">K</font> <a href="ordinal1.html#K2" target="_self">|</a> <font color="Maroon">C</font> )
 <b>by </b><i><a class="ref" href="ordinal1.html#D3" target="_self">Def3</a>, <a class="ref" href="funct_1.html#T72">FUNCT_1:72</a>, <a class="ref" href="funct_1.html#T82">FUNCT_1:82</a></i>;<br/><b>hence </b><a NAME="E7:63_1_1_1"/>
<font color="Maroon">K</font> <a href="funct_1.html#K1">.</a> <font color="Maroon">C</font> <a href="hidden.html#R1">=</a> <font color="Maroon">F<sub>3</sub></font>(<span class="p1">(<span class="default"><font color="Maroon">K</font> <a href="ordinal1.html#K2" target="_self">|</a> <font color="Maroon">C</font></span>)</span>)
 <b>by </b><i>, , <a class="ref" href="ordinal1.html#D2" target="_self">Def2</a>, <a class="ref" href="ordinal1.html#D3" target="_self">Def3</a></i>;<br/></div><b>end;</b></div><b>then </b><font color="Maroon">F<sub>2</sub></font>(<font color="Maroon">B</font>) = 
<font color="Maroon">F<sub>3</sub></font>(<span class="p1">(<span class="default"><font color="Maroon">L</font> <a href="ordinal1.html#K2" target="_self">|</a> <font color="Maroon">B</font></span>)</span>)
<b>by </b><i><a class="ref" href="ordinal1.html#T14" target="_self">Th14</a></i>
<br/>.= 
<font color="Maroon">L</font> <a href="funct_1.html#K1">.</a> <font color="Maroon">B</font>
<b>by </b><i>, , </i>
;<br/><b>hence </b><a NAME="E5:63_1_1"/>
<font color="Maroon">F<sub>1</sub></font>() <a href="funct_1.html#K1">.</a> <font color="Maroon">b</font> <a href="hidden.html#R1">=</a> <font color="Maroon">L</font> <a href="funct_1.html#K1">.</a> <font color="Maroon">b</font>
 <b>by </b><i>, , </i>;<br/></div><b>end;</b></div>
<a NAME="E6:63_1"/><b>then </b>
<font color="Maroon">F<sub>1</sub></font>() <a href="hidden.html#R1">=</a> <font color="Maroon">L</font>
 
<b>by </b><i>, <a class="ref" href="funct_1.html#T9">FUNCT_1:9</a></i>;<br/>
<b>hence </b><a NAME="E7:63_1"/>
for <font color="Olive">B</font> being  <a href="ordinal1.html#NM2">Ordinal</a>  st <font color="Olive">B</font> <a href="hidden.html#R2">in</a>  <a href="relat_1.html#K1">dom</a> <font color="Maroon">F<sub>1</sub></font>() holds <br/><font color="Maroon">F<sub>1</sub></font>() <a href="funct_1.html#K1">.</a> <font color="Olive">B</font> <a href="hidden.html#R1">=</a> <font color="Maroon">F<sub>3</sub></font>(<span class="p1">(<span class="default"><font color="Maroon">F<sub>1</sub></font>() <a href="ordinal1.html#K2" target="_self">|</a> <font color="Olive">B</font></span>)</span>)
 <b>by </b><i/>;<br/>


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