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<a NAME="E1:55_1_1"/>
 <a href="trees_1.html#K1" target="_self">ProperPrefixes</a> <font color="Maroon">c<sub>1</sub></font>, <a href="finseq_1.html#K4">dom</a> <font color="Maroon">c<sub>1</sub></font> <a href="tarski.html#R2">are_equipotent</a> 
 
<b>by </b><i><a class="ref" href="trees_1.html#T67" target="_self">Th67</a></i>;<br/>
<a NAME="E2:55_1_1"/><b>then </b>
 <a href="trees_1.html#K1" target="_self">ProperPrefixes</a> <font color="Maroon">c<sub>1</sub></font>, <a href="finseq_1.html#K2">Seg</a> <span class="p1">(<span class="default"><a href="finseq_1.html#K3">len</a> <font color="Maroon">c<sub>1</sub></font></span>)</span> <a href="tarski.html#R2">are_equipotent</a> 
 
<b>by </b><i><a class="ref" href="finseq_1.html#D3">FINSEQ_1:def 3</a></i>;<br/>
<b>hence </b><a NAME="E3:55_1_1"/>
 <a href="trees_1.html#K1" target="_self">ProperPrefixes</a> <font color="Maroon">c<sub>1</sub></font> is <a href="finset_1.html#V1">finite</a>
 <b>by </b><i><a class="ref" href="card_1.html#T68">CARD_1:68</a></i>;<br/>


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