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<b>consider </b><font color="Maroon">c<sub>1</sub></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">c<sub>1</sub></font>)
 <b>and </b><br/><a NAME="E3:63_1"/><i><font color="Green">E34</font></i>: 
 <a href="relat_1.html#K1">dom</a> <font color="Maroon">c<sub>1</sub></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">E35</font></i>: 
for <font color="Olive">b<sub>1</sub></font> being  <a href="ordinal1.html#NM2">Ordinal</a> st <font color="Olive">b<sub>1</sub></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">c<sub>1</sub></font> <a href="funct_1.html#K1">.</a> <font color="Olive">b<sub>1</sub></font> <a href="hidden.html#R1">=</a> <font color="Maroon">F<sub>3</sub></font>(<span class="p1">(<span class="default"><font color="Maroon">c<sub>1</sub></font> <a href="ordinal1.html#K2" target="_self">|</a> <font color="Olive">b<sub>1</sub></font></span>)</span>)
 <b>by </b><i><a class="txt" href="ordinal1.html#E1:63"><i><font color="Green">E32</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">c<sub>2</sub></font> be    <a href="hidden.html#M1">set</a> ;<br/><b>assume </b><a NAME="E1:63_1_1"/><i><font color="Green">E36</font></i>: 
<font color="Maroon">c<sub>2</sub></font> <a href="hidden.html#R2">in</a>  <a href="relat_1.html#K1">dom</a> <font color="Maroon">c<sub>1</sub></font>
 ;<br/><b>then reconsider </b><font color="Maroon">c<sub>3</sub></font> = <font color="Maroon">c<sub>2</sub></font> as   <a href="ordinal1.html#NM2">Ordinal</a> <b>by </b><i><a class="ref" href="ordinal1.html#T23" target="_self">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">c<sub>4</sub></font> = <font color="Maroon">c<sub>1</sub></font> <a href="ordinal1.html#K2" target="_self">|</a> <font color="Maroon">c<sub>3</sub></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">c<sub>1</sub></font> <a href="ordinal1.html#K2" target="_self">|</a> <font color="Maroon">c<sub>3</sub></font></span>)</span>) <a href="hidden.html#R1">=</a> <font color="Maroon">F<sub>3</sub></font>(<font color="Maroon">c<sub>4</sub></font>)
 ;<br/><a NAME="E2:63_1_1_1"/><i><font color="Green">E37</font></i>: 
<font color="Maroon">c<sub>3</sub></font> <a href="ordinal1.html#R1" target="_self">c=</a>  <a href="relat_1.html#K1">dom</a> <font color="Maroon">c<sub>1</sub></font>
 <b>by </b><i><a class="txt" href="ordinal1.html#E1:63_1_1"><i><font color="Green">E36</font></i></a>, <a class="ref" href="ordinal1.html#D2" target="_self">Def2</a></i>;<br/><b>hence </b><a NAME="E3:63_1_1_1"/>
 <a href="relat_1.html#K1">dom</a> <font color="Maroon">c<sub>4</sub></font> <a href="hidden.html#R1">=</a> <font color="Maroon">c<sub>3</sub></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<sub>5</sub></font> be   <a href="ordinal1.html#NM2">Ordinal</a>;<br/><b>assume </b><a NAME="E4:63_1_1_1"/><i><font color="Green">E38</font></i>: 
<font color="Maroon">c<sub>5</sub></font> <a href="hidden.html#R2">in</a> <font color="Maroon">c<sub>3</sub></font>
 ;<br/><a NAME="E5:63_1_1_1"/><b>then </b>
( <font color="Maroon">c<sub>5</sub></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<sub>5</sub></font> <a href="ordinal1.html#R1" target="_self">c=</a> <font color="Maroon">c<sub>3</sub></font> )
 <b>by </b><i><a class="txt" href="ordinal1.html#E3:63_1"><i><font color="Green">E34</font></i></a>, <a class="txt" href="ordinal1.html#E2:63_1_1_1"><i><font color="Green">E37</font></i></a>, <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">c<sub>4</sub></font> <a href="funct_1.html#K1">.</a> <font color="Maroon">c<sub>5</sub></font> <a href="hidden.html#R1">=</a> <font color="Maroon">c<sub>1</sub></font> <a href="funct_1.html#K1">.</a> <font color="Maroon">c<sub>5</sub></font> &amp; <font color="Maroon">c<sub>1</sub></font> <a href="ordinal1.html#K2" target="_self">|</a> <font color="Maroon">c<sub>5</sub></font> <a href="hidden.html#R1">=</a> <font color="Maroon">c<sub>4</sub></font> <a href="ordinal1.html#K2" target="_self">|</a> <font color="Maroon">c<sub>5</sub></font> )
 <b>by </b><i><a class="txt" href="ordinal1.html#E4:63_1_1_1"><i><font color="Green">E38</font></i></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">c<sub>4</sub></font> <a href="funct_1.html#K1">.</a> <font color="Maroon">c<sub>5</sub></font> <a href="hidden.html#R1">=</a> <font color="Maroon">F<sub>3</sub></font>(<span class="p1">(<span class="default"><font color="Maroon">c<sub>4</sub></font> <a href="ordinal1.html#K2" target="_self">|</a> <font color="Maroon">c<sub>5</sub></font></span>)</span>)
 <b>by </b><i><a class="txt" href="ordinal1.html#E3:63_1"><i><font color="Green">E34</font></i></a>, <a class="txt" href="ordinal1.html#E4:63_1"><i><font color="Green">E35</font></i></a>, <a class="txt" href="ordinal1.html#E2:63_1_1_1"><i><font color="Green">E37</font></i></a>, <a class="txt" href="ordinal1.html#E4:63_1_1_1"><i><font color="Green">E38</font></i></a></i>;<br/></div><b>end;</b></div><b>then </b><font color="Maroon">F<sub>2</sub></font>(<font color="Maroon">c<sub>3</sub></font>) = 
<font color="Maroon">F<sub>3</sub></font>(<span class="p1">(<span class="default"><font color="Maroon">c<sub>1</sub></font> <a href="ordinal1.html#K2" target="_self">|</a> <font color="Maroon">c<sub>3</sub></font></span>)</span>)
<b>by </b><i><a class="txt" href="ordinal1.html#E1:63"><i><font color="Green">E32</font></i></a></i>
<br/>.= 
<font color="Maroon">c<sub>1</sub></font> <a href="funct_1.html#K1">.</a> <font color="Maroon">c<sub>3</sub></font>
<b>by </b><i><a class="txt" href="ordinal1.html#E3:63_1"><i><font color="Green">E34</font></i></a>, <a class="txt" href="ordinal1.html#E4:63_1"><i><font color="Green">E35</font></i></a>, <a class="txt" href="ordinal1.html#E1:63_1_1"><i><font color="Green">E36</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">.</a> <font color="Maroon">c<sub>2</sub></font> <a href="hidden.html#R1">=</a> <font color="Maroon">c<sub>1</sub></font> <a href="funct_1.html#K1">.</a> <font color="Maroon">c<sub>2</sub></font>
 <b>by </b><i><a class="txt" href="ordinal1.html#E2:63"><i><font color="Green">E33</font></i></a>, <a class="txt" href="ordinal1.html#E3:63_1"><i><font color="Green">E34</font></i></a>, <a class="txt" href="ordinal1.html#E1:63_1_1"><i><font color="Green">E36</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">=</a> <font color="Maroon">c<sub>1</sub></font>
 
<b>by </b><i><a class="txt" href="ordinal1.html#E3:63_1"><i><font color="Green">E34</font></i></a>, <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<sub>1</sub></font> being  <a href="ordinal1.html#NM2">Ordinal</a> st <font color="Olive">b<sub>1</sub></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<sub>1</sub></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<sub>1</sub></font></span>)</span>)
 <b>by </b><i><a class="txt" href="ordinal1.html#E4:63_1"><i><font color="Green">E35</font></i></a></i>;<br/>


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