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<b>consider </b><font color="Maroon">fi</font> being   <a href="ordinal2.html#NM1">Ordinal-Sequence</a><b> such that </b><br/><a NAME="E2:49_1"/><i><font color="Green">E7</font></i>: 
(  <a href="relat_1.html#K1">dom</a> <font color="Maroon">fi</font> <a href="hidden.html#R1">=</a>  <a href="ordinal1.html#K1">succ</a> <a href="xboole_0.html#K1">{}</a>  &amp; (  <a href="xboole_0.html#K1">{}</a>  <a href="hidden.html#R2">in</a>  <a href="ordinal1.html#K1">succ</a> <a href="xboole_0.html#K1">{}</a>  implies <font color="Maroon">fi</font> <a href="funct_1.html#K1">.</a> <a href="xboole_0.html#K1">{}</a>  <a href="hidden.html#R1">=</a> <font color="Maroon">F<sub>2</sub></font>() ) &amp; ( for <font color="Olive">A</font> being  <a href="ordinal1.html#NM2">Ordinal</a>  st  <a href="ordinal1.html#K1">succ</a> <font color="Olive">A</font> <a href="hidden.html#R2">in</a>  <a href="ordinal1.html#K1">succ</a> <a href="xboole_0.html#K1">{}</a>  holds <br/><font color="Maroon">fi</font> <a href="funct_1.html#K1">.</a> <span class="p1">(<span class="default"><a href="ordinal1.html#K1">succ</a> <font color="Olive">A</font></span>)</span> <a href="hidden.html#R1">=</a> <font color="Maroon">F<sub>3</sub></font>(<font color="Olive">A</font>,<span class="p1">(<span class="default"><font color="Maroon">fi</font> <a href="funct_1.html#K1">.</a> <font color="Olive">A</font></span>)</span>) ) &amp; ( for <font color="Olive">A</font> being  <a href="ordinal1.html#NM2">Ordinal</a>  st <font color="Olive">A</font> <a href="hidden.html#R2">in</a>  <a href="ordinal1.html#K1">succ</a> <a href="xboole_0.html#K1">{}</a>  &amp; <font color="Olive">A</font> <a href="hidden.html#NR2" target="_self">&lt;&gt;</a>  <a href="xboole_0.html#K1">{}</a>  &amp; <font color="Olive">A</font> <a href="ordinal1.html#NR2" target="_self">is_limit_ordinal</a>  holds <br/><font color="Maroon">fi</font> <a href="funct_1.html#K1">.</a> <font color="Olive">A</font> <a href="hidden.html#R1">=</a> <font color="Maroon">F<sub>4</sub></font>(<font color="Olive">A</font>,<span class="p1">(<span class="default"><font color="Maroon">fi</font> <a href="ordinal1.html#K2">|</a> <font color="Olive">A</font></span>)</span>) ) )
 <b>from </b><i><a class="ref" href="ordinal2.html#S11" target="_self">ORDINAL2:sch 11</a>();<br/></i>
<a NAME="E3:49_1"/>
( <font color="Maroon">F<sub>2</sub></font>() <a href="hidden.html#R1">=</a>  <a href="ordinal2.html#K1" target="_self">last</a> <font color="Maroon">fi</font> &amp; <font color="Maroon">fi</font> <a href="funct_1.html#K1">.</a> <a href="xboole_0.html#K1">{}</a>  <a href="hidden.html#R1">=</a> <font color="Maroon">F<sub>2</sub></font>() )
 
<b>by </b><i>, , <a class="ref" href="ordinal1.html#T10">ORDINAL1:10</a></i>;<br/>
<b>hence </b><a NAME="E4:49_1"/>
<font color="Maroon">F<sub>1</sub></font>(<a href="xboole_0.html#K1">{}</a> ) <a href="hidden.html#R1">=</a> <font color="Maroon">F<sub>2</sub></font>()
 <b>by </b><i>, </i>;<br/>


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