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<b>let </b><font color="Maroon" title="c5">Y1</font>, <font color="Maroon" title="c6">Y2</font> be   <a href="subset_1.html#NM2" title="SUBSET_1:NM.2">Subset</a> of <span class="p1"><a href="zfmisc_1.html#K2" title="ZFMISC_1:func.2">[:</a><span class="default"><font color="Maroon" title="c2">S</font>,the <a href="struct_0.html#U1" title="STRUCT_0:sel.1">carrier</a> of <font color="Maroon" title="c1">A</font></span><a href="zfmisc_1.html#K2" title="ZFMISC_1:func.2">:]</a></span>;<br/>

<b>assume </b><b>that </b><br/><a NAME="E1:155_1_2"/><i><font color="Green" title="E95">A9</font></i>: 
<font color="Maroon">S<sub>1</sub></font>[<font color="Maroon" title="c5">Y1</font>]
 <b>and </b><br/><a NAME="E2:155_1_2"/><i><font color="Green" title="E96">A10</font></i>: 
for <font color="Olive" title="b1">Y</font> being  <a href="subset_1.html#NM2" title="SUBSET_1:NM.2">Subset</a> of <span class="p1"><a href="zfmisc_1.html#K2" title="ZFMISC_1:func.2">[:</a><span class="default"><font color="Maroon" title="c2">S</font>,the <a href="struct_0.html#U1" title="STRUCT_0:sel.1">carrier</a> of <font color="Maroon" title="c1">A</font></span><a href="zfmisc_1.html#K2" title="ZFMISC_1:func.2">:]</a></span>  st <font color="Maroon">S<sub>1</sub></font>[<font color="Olive" title="b1">Y</font>] holds <br/><font color="Maroon" title="c5">Y1</font> <a href="tarski.html#R1" title="TARSKI:pred.1">c=</a> <font color="Olive" title="b1">Y</font>
 <b>and </b><br/><a NAME="E3:155_1_2"/><i><font color="Green" title="E97">A11</font></i>: 
<font color="Maroon">S<sub>1</sub></font>[<font color="Maroon" title="c6">Y2</font>]
 <b>and </b><br/><a NAME="E4:155_1_2"/><i><font color="Green" title="E98">A12</font></i>: 
for <font color="Olive" title="b1">Y</font> being  <a href="subset_1.html#NM2" title="SUBSET_1:NM.2">Subset</a> of <span class="p1"><a href="zfmisc_1.html#K2" title="ZFMISC_1:func.2">[:</a><span class="default"><font color="Maroon" title="c2">S</font>,the <a href="struct_0.html#U1" title="STRUCT_0:sel.1">carrier</a> of <font color="Maroon" title="c1">A</font></span><a href="zfmisc_1.html#K2" title="ZFMISC_1:func.2">:]</a></span>  st <font color="Maroon">S<sub>1</sub></font>[<font color="Olive" title="b1">Y</font>] holds <br/><font color="Maroon" title="c6">Y2</font> <a href="tarski.html#R1" title="TARSKI:pred.1">c=</a> <font color="Olive" title="b1">Y</font>
 ;<br/>

<b>thus </b><a NAME="E5:155_1_2"/>
<font color="Maroon" title="c5">Y1</font> <a href="tarski.html#R1" title="TARSKI:pred.1">c=</a> <font color="Maroon" title="c6">Y2</font>
 <b>by </b><i><a class="txt" href="aofa_000.html#E3:155_1_2"><i><font color="Green" title="E97">A11</font></i></a>, <a class="txt" href="aofa_000.html#E2:155_1_2"><i><font color="Green" title="E96">A10</font></i></a></i>; <i><font color="Red">:: according to </font></i><a class="ref" href="xboole_0.html#D10" title="XBOOLE_0:def.10">XBOOLE_0:def 10</a><br/>

<b>thus </b><a NAME="E6:155_1_2"/>
<font color="Maroon" title="c6">Y2</font> <a href="tarski.html#R1" title="TARSKI:pred.1">c=</a> <font color="Maroon" title="c5">Y1</font>
 <b>by </b><i><a class="txt" href="aofa_000.html#E1:155_1_2"><i><font color="Green" title="E95">A9</font></i></a>, <a class="txt" href="aofa_000.html#E4:155_1_2"><i><font color="Green" title="E98">A12</font></i></a></i>;<br/>


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