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<b>consider </b><font color="Maroon" title="c1">L</font> being   <a href="ordinal1.html#NM3" title="ORDINAL1:NM.3">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#NK2" title="RELAT_1:NK.2">dom</a> <font color="Maroon">F<sub>1</sub></font>()</span>)</span>) <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon">F<sub>3</sub></font>(<font color="Maroon" title="c1">L</font>)
 <b>and </b><br/><a NAME="E3:63_1"/><i><font color="Green" title="E34">A3</font></i>: 
 <a href="relat_1.html#NK2" title="RELAT_1:NK.2">dom</a> <font color="Maroon" title="c1">L</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="relat_1.html#NK2" title="RELAT_1:NK.2">dom</a> <font color="Maroon">F<sub>1</sub></font>()
 <b>and </b><br/><a NAME="E4:63_1"/><i><font color="Green" title="E35">A4</font></i>: 
for <font color="Olive" title="b1">B</font> being  <a href="ordinal1.html#NM2" title="ORDINAL1:NM.2">Ordinal</a>  st <font color="Olive" title="b1">B</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a>  <a href="relat_1.html#NK2" title="RELAT_1:NK.2">dom</a> <font color="Maroon">F<sub>1</sub></font>() holds <br/><font color="Maroon" title="c1">L</font> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Olive" title="b1">B</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon">F<sub>3</sub></font>(<span class="p1">(<span class="default"><font color="Maroon" title="c1">L</font> <a href="ordinal1.html#K2" title="ORDINAL1:func.2">|</a> <font color="Olive" title="b1">B</font></span>)</span>)
 <b>by </b><i><a class="txt" href="ordinal1.html#E1:63"><i><font color="Green" title="E32">A1</font></i></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" title="c2">b</font> be    <a href="hidden.html#M1" title="HIDDEN:mode.1">set</a> ;<br/><b>assume </b><a NAME="E1:63_1_1"/><i><font color="Green" title="E36">A5</font></i>: 
<font color="Maroon" title="c2">b</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a>  <a href="relat_1.html#NK2" title="RELAT_1:NK.2">dom</a> <font color="Maroon" title="c1">L</font>
 ;<br/><b>then reconsider </b><font color="Maroon" title="c3">B</font> = <font color="Maroon" title="c2">b</font> as   <a href="ordinal1.html#NM2" title="ORDINAL1:NM.2">Ordinal</a> <b>by </b><i><a class="ref" href="ordinal1.html#T23" target="_self" title="ORDINAL1:th.23">Th23</a></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" title="c4">K</font> = <font color="Maroon" title="c1">L</font> <a href="ordinal1.html#K2" title="ORDINAL1:func.2">|</a> <font color="Maroon" title="c3">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" title="c1">L</font> <a href="ordinal1.html#K2" title="ORDINAL1:func.2">|</a> <font color="Maroon" title="c3">B</font></span>)</span>) <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon">F<sub>3</sub></font>(<font color="Maroon" title="c4">K</font>)
 ;<br/><a NAME="E2:63_1_1_1"/><i><font color="Green" title="E37">A6</font></i>: 
<font color="Maroon" title="c3">B</font> <a href="ordinal1.html#R1" title="ORDINAL1:pred.1">c=</a>  <a href="relat_1.html#NK2" title="RELAT_1:NK.2">dom</a> <font color="Maroon" title="c1">L</font>
 <b>by </b><i><a class="txt" href="ordinal1.html#E1:63_1_1"><i><font color="Green" title="E36">A5</font></i></a>, <a class="ref" href="ordinal1.html#D2" target="_self" title="ORDINAL1:def.2">Def2</a></i>;<br/><b>hence </b><a NAME="E3:63_1_1_1"/>
 <a href="relat_1.html#NK2" title="RELAT_1:NK.2">dom</a> <font color="Maroon" title="c4">K</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c3">B</font>
 <b>by </b><i><a class="ref" href="relat_1.html#T91" title="RELAT_1:th.91">RELAT_1:91</a></i>;<br/><b>let </b><font color="Maroon" title="c5">C</font> be   <a href="ordinal1.html#NM2" title="ORDINAL1:NM.2">Ordinal</a>;<br/><b>assume </b><a NAME="E4:63_1_1_1"/><i><font color="Green" title="E38">A7</font></i>: 
<font color="Maroon" title="c5">C</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a> <font color="Maroon" title="c3">B</font>
 ;<br/><a NAME="E5:63_1_1_1"/><b>then </b>
( <font color="Maroon" title="c5">C</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a>  <a href="relat_1.html#NK2" title="RELAT_1:NK.2">dom</a> <font color="Maroon">F<sub>1</sub></font>() &amp; <font color="Maroon" title="c5">C</font> <a href="ordinal1.html#R1" title="ORDINAL1:pred.1">c=</a> <font color="Maroon" title="c3">B</font> )
 <b>by </b><i><a class="txt" href="ordinal1.html#E3:63_1"><i><font color="Green" title="E34">A3</font></i></a>, <a class="txt" href="ordinal1.html#E2:63_1_1_1"><i><font color="Green" title="E37">A6</font></i></a>, <a class="ref" href="ordinal1.html#D2" target="_self" title="ORDINAL1:def.2">Def2</a></i>;<br/><a NAME="E6:63_1_1_1"/><b>then </b>
( <font color="Maroon" title="c4">K</font> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Maroon" title="c5">C</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c1">L</font> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Maroon" title="c5">C</font> &amp; <font color="Maroon" title="c1">L</font> <a href="ordinal1.html#K2" title="ORDINAL1:func.2">|</a> <font color="Maroon" title="c5">C</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c4">K</font> <a href="ordinal1.html#K2" title="ORDINAL1:func.2">|</a> <font color="Maroon" title="c5">C</font> )
 <b>by </b><i><a class="txt" href="ordinal1.html#E4:63_1_1_1"><i><font color="Green" title="E38">A7</font></i></a>, <a class="ref" href="funct_1.html#T72" title="FUNCT_1:th.72">FUNCT_1:72</a>, <a class="ref" href="funct_1.html#T82" title="FUNCT_1:th.82">FUNCT_1:82</a></i>;<br/><b>hence </b><a NAME="E7:63_1_1_1"/>
<font color="Maroon" title="c4">K</font> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Maroon" title="c5">C</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon">F<sub>3</sub></font>(<span class="p1">(<span class="default"><font color="Maroon" title="c4">K</font> <a href="ordinal1.html#K2" title="ORDINAL1:func.2">|</a> <font color="Maroon" title="c5">C</font></span>)</span>)
 <b>by </b><i><a class="txt" href="ordinal1.html#E3:63_1"><i><font color="Green" title="E34">A3</font></i></a>, <a class="txt" href="ordinal1.html#E4:63_1"><i><font color="Green" title="E35">A4</font></i></a>, <a class="txt" href="ordinal1.html#E2:63_1_1_1"><i><font color="Green" title="E37">A6</font></i></a>, <a class="txt" href="ordinal1.html#E4:63_1_1_1"><i><font color="Green" title="E38">A7</font></i></a></i>;<br/></div><b>end;</b></div><b>then </b><font color="Maroon">F<sub>2</sub></font>(<font color="Maroon" title="c3">B</font>) = 
<font color="Maroon">F<sub>3</sub></font>(<span class="p1">(<span class="default"><font color="Maroon" title="c1">L</font> <a href="ordinal1.html#K2" title="ORDINAL1:func.2">|</a> <font color="Maroon" title="c3">B</font></span>)</span>)
<b>by </b><i><a class="txt" href="ordinal1.html#E1:63"><i><font color="Green" title="E32">A1</font></i></a></i>
<br/>.= 
<font color="Maroon" title="c1">L</font> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Maroon" title="c3">B</font>
<b>by </b><i><a class="txt" href="ordinal1.html#E3:63_1"><i><font color="Green" title="E34">A3</font></i></a>, <a class="txt" href="ordinal1.html#E4:63_1"><i><font color="Green" title="E35">A4</font></i></a>, <a class="txt" href="ordinal1.html#E1:63_1_1"><i><font color="Green" title="E36">A5</font></i></a></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" title="FUNCT_1:func.1">.</a> <font color="Maroon" title="c2">b</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c1">L</font> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Maroon" title="c2">b</font>
 <b>by </b><i><a class="txt" href="ordinal1.html#E2:63"><i><font color="Green" title="E33">A2</font></i></a>, <a class="txt" href="ordinal1.html#E3:63_1"><i><font color="Green" title="E34">A3</font></i></a>, <a class="txt" href="ordinal1.html#E1:63_1_1"><i><font color="Green" title="E36">A5</font></i></a></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" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c1">L</font>
 
<b>by </b><i><a class="txt" href="ordinal1.html#E3:63_1"><i><font color="Green" title="E34">A3</font></i></a>, <a class="ref" href="funct_1.html#T9" title="FUNCT_1:th.9">FUNCT_1:9</a></i>;<br/>
<b>hence </b><a NAME="E7:63_1"/>
for <font color="Olive" title="b1">B</font> being  <a href="ordinal1.html#NM2" title="ORDINAL1:NM.2">Ordinal</a>  st <font color="Olive" title="b1">B</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a>  <a href="relat_1.html#NK2" title="RELAT_1:NK.2">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" title="FUNCT_1:func.1">.</a> <font color="Olive" title="b1">B</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</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" title="ORDINAL1:func.2">|</a> <font color="Olive" title="b1">B</font></span>)</span>)
 <b>by </b><i><a class="txt" href="ordinal1.html#E4:63_1"><i><font color="Green" title="E35">A4</font></i></a></i>;<br/>


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