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<b>let </b><font color="Maroon" title="c1">Y</font> be  non <a href="struct_0.html#V2" title="STRUCT_0:attr.2">empty</a>  <a href="pre_topc.html#L1" title="PRE_TOPC:struct.1">TopStruct</a> ;<br/><b>let </b><font color="Maroon" title="c2">Y0</font> be  non <a href="struct_0.html#V2" title="STRUCT_0:attr.2">empty</a>  <a href="tsp_1.html#M2" title="TSP_1:mode.2">SubSpace</a> of <font color="Maroon" title="c1">Y</font>;<br/><b>let </b><font color="Maroon" title="c3">Y1</font> be  non <a href="struct_0.html#V2" title="STRUCT_0:attr.2">empty</a> <a href="t_0topsp.html#V2" title="T_0TOPSP:attr.2">V146</a>  <a href="tsp_1.html#M2" title="TSP_1:mode.2">SubSpace</a> of <font color="Maroon" title="c1">Y</font>;<br/>





<b>reconsider </b><font color="Maroon" title="c4">A1</font> = the <a href="struct_0.html#U1" title="STRUCT_0:sel.1">carrier</a> of <font color="Maroon" title="c3">Y1</font>, <font color="Maroon" title="c5">A0</font> = the <a href="struct_0.html#U1" title="STRUCT_0:sel.1">carrier</a> of <font color="Maroon" title="c2">Y0</font> as  non <a href="xboole_0.html#V1" title="XBOOLE_0:attr.1">empty</a> <a href="struct_0.html#NM2" title="STRUCT_0:NM.2">Subset</a> of <font color="Maroon" title="c1">Y</font> <b>by </b><i><a class="txt" href="tsp_1.html#E29"><i><font color="Green" title="E22">Lm3</font></i></a></i>;<br/>
<a NAME="E2:38"/><i><font color="Green" title="E25">A1</font></i>: 
(  <a href="struct_0.html#K2" title="STRUCT_0:func.2">[#]</a> <font color="Maroon" title="c2">Y0</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c5">A0</font> &amp;  <a href="struct_0.html#K2" title="STRUCT_0:func.2">[#]</a> <font color="Maroon" title="c3">Y1</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c4">A1</font> )
 
;<br/>
<b>assume </b><a NAME="E3:38"/>
<font color="Maroon" title="c2">Y0</font> is    <a href="tsp_1.html#M2" title="TSP_1:mode.2">SubSpace</a> of <font color="Maroon" title="c3">Y1</font>
 ;<br/>

<a NAME="E4:38"/><b>then </b><i><font color="Green" title="E26">A2</font></i>: 
<font color="Maroon" title="c5">A0</font> <a href="tarski.html#R1" title="TARSKI:pred.1">c=</a> <font color="Maroon" title="c4">A1</font>
 
<b>by </b><i><a class="txt" href="tsp_1.html#E2:38"><i><font color="Green" title="E25">A1</font></i></a>, <a class="ref" href="pre_topc.html#D9" title="PRE_TOPC:def.9">PRE_TOPC:def 9</a></i>;<br/>
<a NAME="E5:38"/>
<font color="Maroon" title="c4">A1</font> is <a href="tsp_1.html#V1" title="TSP_1:attr.1">T_0</a>
 
<b>by </b><i><a class="ref" href="tsp_1.html#T15" target="_self" title="TSP_1:th.15">Th15</a></i>;<br/>
<a NAME="E6:38"/><b>then </b>
<font color="Maroon" title="c5">A0</font> is <a href="tsp_1.html#V1" title="TSP_1:attr.1">T_0</a>
 
<b>by </b><i><a class="txt" href="tsp_1.html#E4:38"><i><font color="Green" title="E26">A2</font></i></a>, <a class="ref" href="tsp_1.html#T7" target="_self" title="TSP_1:th.7">Th7</a></i>;<br/>
<b>hence </b><a NAME="E7:38"/>
<font color="Maroon" title="c2">Y0</font> is <a href="t_0topsp.html#V2" title="T_0TOPSP:attr.2">T_0</a>
 <b>by </b><i><a class="ref" href="tsp_1.html#T15" target="_self" title="TSP_1:th.15">Th15</a></i>;<br/>


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