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<b>let </b><font color="Maroon" title="c1">X</font> be  non <a href="struct_0.html#V3" title="STRUCT_0:attr.3">empty</a> <a href="pre_topc.html#NM1" title="PRE_TOPC:NM.1">TopSpace</a>;<br/><b>let </b><font color="Maroon" title="c2">X0</font> be  non <a href="struct_0.html#V3" title="STRUCT_0:attr.3">empty</a>  <a href="pre_topc.html#M1" title="PRE_TOPC:mode.1">SubSpace</a> of <font color="Maroon" title="c1">X</font>;<br/>



<b>reconsider </b><font color="Maroon" title="c3">A0</font> = the <a href="struct_0.html#U1" title="STRUCT_0:sel.1">carrier</a> of <font color="Maroon" title="c2">X0</font> as   <a href="struct_0.html#NM2" title="STRUCT_0:NM.2">Subset</a> of <font color="Maroon" title="c1">X</font> <b>by </b><i><a class="ref" href="tsep_1.html#T1" title="TSEP_1:th.1">TSEP_1:1</a></i>;<br/>
<div><a class="txt" onclick="hs2(this)" href="javascript:()" title="32_1"><b>now </b></a><div class="add"><b>take </b><font color="Maroon" title="c4">A1</font> = <font color="Maroon" title="c3">A0</font>;<br/><b>take </b><font color="Maroon" title="c5">A2</font> = <font color="Maroon" title="c3">A0</font>;<br/><b>thus </b><a NAME="E1:32_1"/>
( <font color="Maroon" title="c4">A1</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> the <a href="struct_0.html#U1" title="STRUCT_0:sel.1">carrier</a> of <font color="Maroon" title="c2">X0</font> &amp; <font color="Maroon" title="c5">A2</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> the <a href="struct_0.html#U1" title="STRUCT_0:sel.1">carrier</a> of <font color="Maroon" title="c2">X0</font> &amp; <font color="Maroon" title="c4">A1</font>,<font color="Maroon" title="c5">A2</font> <a href="tsep_2.html#NR2" title="TSEP_2:NR.2">do_not_constitute_a_decomposition</a>  )
 <b>by </b><i><a class="ref" href="tsep_2.html#T8" target="_self" title="TSEP_2:th.8">Th8</a></i>;<br/></div><b>end;</b></div>
<b>hence </b><a NAME="E3:32"/>
<font color="Maroon" title="c2">X0</font>,<font color="Maroon" title="c2">X0</font> <a href="tsep_2.html#NR5" title="TSEP_2:NR.5">do_not_constitute_a_decomposition</a> 
 <b>by </b><i><a class="ref" href="tsep_2.html#D2" target="_self" title="TSEP_2:def.2">Def2</a></i>;<br/>


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