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<b>let </b><font color="Maroon">c<sub>2</sub></font> be  non <a href="struct_0.html#V3">empty</a>  <a href="tsp_1.html#M2" target="_self">SubSpace</a> of <font color="Maroon">c<sub>1</sub></font>;<br/>

<b>reconsider </b><font color="Maroon">c<sub>3</sub></font> = the <a href="struct_0.html#U1">carrier</a> of <font color="Maroon">c<sub>2</sub></font> as  non <a href="xboole_0.html#V1">empty</a> <a href="struct_0.html#NM2">Subset</a> of <font color="Maroon">c<sub>1</sub></font> <b>by </b><i><a class="ref" href="tsep_1.html#T1">TSEP_1:1</a></i>;<br/>
<a NAME="E2:46_1_1"/>
<font color="Maroon">c<sub>1</sub></font> is    <a href="tsp_1.html#M2" target="_self">SubSpace</a> of <font color="Maroon">c<sub>1</sub></font>
 
<b>by </b><i><a class="ref" href="tsep_1.html#T2">TSEP_1:2</a></i>;<br/>
<b>then reconsider </b><font color="Maroon">c<sub>4</sub></font> = the <a href="struct_0.html#U1">carrier</a> of <font color="Maroon">c<sub>1</sub></font> as  non <a href="xboole_0.html#V1">empty</a> <a href="struct_0.html#NM2">Subset</a> of <font color="Maroon">c<sub>1</sub></font> <b>by </b><i><a class="ref" href="tsep_1.html#T1">TSEP_1:1</a></i>;<br/>
<a NAME="E4:46_1_1"/>
( <font color="Maroon">c<sub>4</sub></font> is <a href="tsp_1.html#V1" target="_self">T_0</a> &amp; <font color="Maroon">c<sub>3</sub></font> <a href="tarski.html#R1">c=</a> <font color="Maroon">c<sub>4</sub></font> )
 
<b>by </b><i><a class="ref" href="tsp_1.html#T6" target="_self">Th6</a></i>;<br/>
<a NAME="E5:46_1_1"/><b>then </b>
<font color="Maroon">c<sub>3</sub></font> is <a href="tsp_1.html#V1" target="_self">T_0</a>
 
<b>by </b><i><a class="ref" href="tsp_1.html#T7" target="_self">Th7</a></i>;<br/>
<b>hence </b><a NAME="E6:46_1_1"/>
<font color="Maroon">c<sub>2</sub></font> is <a href="t_0topsp.html#V2">T_0</a>
 <b>by </b><i><a class="ref" href="tsp_1.html#T15" target="_self">Th15</a></i>;<br/>


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