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<a NAME="E1:2_1_1"/>
 <a href="pboole.html#K1">[0]</a> <font color="Maroon">c<sub>1</sub></font> <a href="pboole.html#R2">c=</a> <font color="Maroon">c<sub>2</sub></font>
 
<b>by </b><i><a class="ref" href="pboole.html#T49">PBOOLE:49</a></i>;<br/>
<a NAME="E2:2_1_1"/><b>then </b>
 <a href="pboole.html#K1">[0]</a> <font color="Maroon">c<sub>1</sub></font> is    <a href="pboole.html#M4">ManySortedSubset</a> of <font color="Maroon">c<sub>2</sub></font>
 
<b>by </b><i><a class="ref" href="pboole.html#D23">PBOOLE:def 23</a></i>;<br/>
<b>then reconsider </b><font color="Maroon">c<sub>3</sub></font> =  <a href="pboole.html#K1">[0]</a> <font color="Maroon">c<sub>1</sub></font> as    <a href="closure2.html#M1">Element</a> of  <a href="closure2.html#K6">Bool</a> <font color="Maroon">c<sub>2</sub></font> <b>by </b><i><a class="ref" href="closure2.html#D1">CLOSURE2:def 1</a></i>;<br/>
<b>take </b>
<font color="Maroon">c<sub>3</sub></font>
;<br/>

<b>thus </b><a NAME="E4:2_1_1"/>
<font color="Maroon">c<sub>3</sub></font> is <a href="pre_circ.html#V1">locally-finite</a>
 ;<br/>


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