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<a NAME="E1:29_1_1"/>
<font color="Maroon">c<sub>1</sub></font>,<font color="Maroon">c<sub>2</sub></font> <a href="xboole_0.html#R3">are_c=-comparable</a> 
 
<b>by </b><i><a class="ref" href="ordinal1.html#T25">ORDINAL1:25</a></i>;<br/>
<a NAME="E2:29_1_1"/><b>then </b>
( <font color="Maroon">c<sub>1</sub></font> <a href="card_1.html#NR1" target="_self">&lt;=`</a> <font color="Maroon">c<sub>2</sub></font> or <font color="Maroon">c<sub>2</sub></font> <a href="card_1.html#NR1" target="_self">&lt;=`</a> <font color="Maroon">c<sub>1</sub></font> )
 
<b>by </b><i><a class="ref" href="xboole_0.html#D9">XBOOLE_0:def 9</a></i>;<br/>
<a NAME="E3:29_1_1"/><b>then </b>
( ( <font color="Maroon">c<sub>1</sub></font> <a href="card_2.html#K1">+`</a> <font color="Maroon">c<sub>2</sub></font> <a href="hidden.html#R1">=</a> <font color="Maroon">c<sub>2</sub></font> &amp; <font color="Maroon">c<sub>2</sub></font> is   <a href="card_5.html#NM1">Aleph</a> ) or <font color="Maroon">c<sub>1</sub></font> <a href="card_2.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> )
 
<b>by </b><i><a class="ref" href="card_5.html#T26" target="_self">Th26</a>, <a class="ref" href="card_5.html#T27" target="_self">Th27</a>, <a class="ref" href="card_4.html#T34">CARD_4:34</a></i>;<br/>
<b>hence </b><a NAME="E4:29_1_1"/>
not <font color="Maroon">c<sub>1</sub></font> <a href="card_2.html#K1">+`</a> <font color="Maroon">c<sub>2</sub></font> is <a href="finset_1.html#V1">finite</a>
 ;<br/>


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