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<b>let </b><font color="Maroon">f1</font> be   <a href="ordinal2.html#NM1">Ordinal-Sequence</a>;<br/><b>let </b><font color="Maroon">f2</font> be   <a href="ordinal2.html#NM1">Ordinal-Sequence</a>;<br/>



<b>assume </b><a NAME="E1:16"/><i><font color="Green">E13</font></i>: 
( <font color="Maroon">f1</font> is <a href="ordinal2.html#V2">increasing</a> &amp; <font color="Maroon">f2</font> is <a href="ordinal2.html#V2">increasing</a> )
 ;<br/>

<b>then reconsider </b><font color="Maroon">f</font> = <font color="Maroon">f1</font> <a href="funct_1.html#NK3" target="_self">*</a> <font color="Maroon">f2</font> as   <a href="ordinal2.html#NM1">Ordinal-Sequence</a> <b>by </b><i/>;<br/>
<b>take </b>
<font color="Maroon">f</font>
;<br/>

<b>thus </b><a NAME="E3:16"/>
<font color="Maroon">f</font> <a href="hidden.html#R1">=</a> <font color="Maroon">f1</font> <a href="funct_1.html#NK3" target="_self">*</a> <font color="Maroon">f2</font>
 ;<br/>

<b>let </b><font color="Maroon">A</font> be   <a href="ordinal1.html#NM2">Ordinal</a>; <i><font color="Red">:: according to </font></i><a class="ref" href="ordinal2.html#D16">ORDINAL2:def 16</a><br/><b>let </b><font color="Maroon">B</font> be   <a href="ordinal1.html#NM2">Ordinal</a>;<br/>



<b>assume </b><a NAME="E4:16"/><i><font color="Green">E25</font></i>: 
( <font color="Maroon">A</font> <a href="hidden.html#R2">in</a> <font color="Maroon">B</font> &amp; <font color="Maroon">B</font> <a href="hidden.html#R2">in</a>  <a href="relat_1.html#K1">dom</a> <font color="Maroon">f</font> )
 ;<br/>

<a NAME="E5:16"/><b>then </b><i><font color="Green">E26</font></i>: 
<font color="Maroon">A</font> <a href="hidden.html#R2">in</a>  <a href="relat_1.html#K1">dom</a> <font color="Maroon">f</font>
 
<b>by </b><i><a class="ref" href="ordinal1.html#T19">ORDINAL1:19</a></i>;<br/>
<a NAME="E6:16"/><i><font color="Green">E27</font></i>: 
 <a href="relat_1.html#K1">dom</a> <font color="Maroon">f</font> <a href="ordinal1.html#R1">c=</a>  <a href="relat_1.html#K1">dom</a> <font color="Maroon">f2</font>
 
<b>by </b><i><a class="ref" href="relat_1.html#T44">RELAT_1:44</a></i>;<br/>
<b>reconsider </b><font color="Maroon">A1</font> = <font color="Maroon">f2</font> <a href="funct_1.html#K1">.</a> <font color="Maroon">A</font>, <font color="Maroon">B1</font> = <font color="Maroon">f2</font> <a href="funct_1.html#K1">.</a> <font color="Maroon">B</font> as   <a href="ordinal1.html#NM2">Ordinal</a> ;<br/>
<a NAME="E8:16"/>
( <font color="Maroon">A1</font> <a href="hidden.html#R2">in</a> <font color="Maroon">B1</font> &amp; <font color="Maroon">B1</font> <a href="hidden.html#R2">in</a>  <a href="relat_1.html#K1">dom</a> <font color="Maroon">f1</font> )
 
<b>by </b><i>, <a class="txt" href="ordinal4.html#E1:16"><i><font color="Green">E13</font></i></a>, , <a class="ref" href="funct_1.html#T21">FUNCT_1:21</a>, <a class="ref" href="ordinal2.html#D16">ORDINAL2:def 16</a></i>;<br/>
<a NAME="E9:16"/><b>then </b>
( <font color="Maroon">f</font> <a href="funct_1.html#K1">.</a> <font color="Maroon">A</font> <a href="hidden.html#R1">=</a> <font color="Maroon">f1</font> <a href="funct_1.html#K1">.</a> <font color="Maroon">A1</font> &amp; <font color="Maroon">f</font> <a href="funct_1.html#K1">.</a> <font color="Maroon">B</font> <a href="hidden.html#R1">=</a> <font color="Maroon">f1</font> <a href="funct_1.html#K1">.</a> <font color="Maroon">B1</font> &amp; <font color="Maroon">f1</font> <a href="funct_1.html#K1">.</a> <font color="Maroon">A1</font> <a href="hidden.html#R2">in</a> <font color="Maroon">f1</font> <a href="funct_1.html#K1">.</a> <font color="Maroon">B1</font> )
 
<b>by </b><i>, <a class="txt" href="ordinal4.html#E1:16"><i><font color="Green">E13</font></i></a>, , <a class="ref" href="funct_1.html#T22">FUNCT_1:22</a>, <a class="ref" href="ordinal2.html#D16">ORDINAL2:def 16</a></i>;<br/>
<b>hence </b><a NAME="E10:16"/>
<font color="Maroon">f</font> <a href="funct_1.html#K1">.</a> <font color="Maroon">A</font> <a href="hidden.html#R2">in</a> <font color="Maroon">f</font> <a href="funct_1.html#K1">.</a> <font color="Maroon">B</font>
 ;<br/>


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