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<b>let </b><font color="Maroon">Y</font> be  non <a href="struct_0.html#V3">empty</a>  <a href="pre_topc.html#L1">TopStruct</a> ;<br/><b>let </b><font color="Maroon">x</font> be   <a href="pre_topc.html#NM2">Point</a> of <font color="Maroon">Y</font>, <font color="Maroon">y</font> be   <a href="pre_topc.html#NM2">Point</a> of <font color="Maroon">Y</font>;<br/>



<a NAME="E1:107"/><i><font color="Green">E13</font></i>: 
( the <a href="struct_0.html#U1">carrier</a> of <span class="p1">(<span class="default"><a href="tex_4.html#K5" target="_self">MaxADSspace</a> <font color="Maroon">x</font></span>)</span> <a href="hidden.html#R1">=</a>  <a href="tex_4.html#K2" target="_self">MaxADSet</a> <font color="Maroon">x</font> &amp; the <a href="struct_0.html#U1">carrier</a> of <span class="p1">(<span class="default"><a href="tex_4.html#K5" target="_self">MaxADSspace</a> <font color="Maroon">y</font></span>)</span> <a href="hidden.html#R1">=</a>  <a href="tex_4.html#K2" target="_self">MaxADSet</a> <font color="Maroon">y</font> )
 
<b>by </b><i><a class="ref" href="tex_4.html#T15" target="_self">Th15</a></i>;<br/>
<b>assume </b><a NAME="E2:107"/>
the <a href="struct_0.html#U1">carrier</a> of <span class="p1">(<span class="default"><a href="tex_4.html#K5" target="_self">MaxADSspace</a> <font color="Maroon">x</font></span>)</span> <a href="subset_1.html#R2">meets</a> the <a href="struct_0.html#U1">carrier</a> of <span class="p1">(<span class="default"><a href="tex_4.html#K5" target="_self">MaxADSspace</a> <font color="Maroon">y</font></span>)</span>
 ;<br/>

<a NAME="E3:107"/><b>then </b>
 <a href="tex_4.html#K2" target="_self">MaxADSet</a> <font color="Maroon">x</font> <a href="hidden.html#R1">=</a>  <a href="tex_4.html#K2" target="_self">MaxADSet</a> <font color="Maroon">y</font>
 
<b>by </b><i><a class="ref" href="tex_4.html#T17" target="_self">Th17</a>, </i>;<br/>
<b>hence </b><a NAME="E4:107"/>
 <a href="pre_topc.html#G1">TopStruct</a>(# the <a href="struct_0.html#U1">carrier</a> of <span class="p1">(<span class="default"><a href="tex_4.html#K5" target="_self">MaxADSspace</a> <font color="Maroon">x</font></span>)</span>,the <a href="pre_topc.html#U1">topology</a> of <span class="p1">(<span class="default"><a href="tex_4.html#K5" target="_self">MaxADSspace</a> <font color="Maroon">x</font></span>)</span> #) <a href="hidden.html#R1">=</a>  <a href="pre_topc.html#G1">TopStruct</a>(# the <a href="struct_0.html#U1">carrier</a> of <span class="p1">(<span class="default"><a href="tex_4.html#K5" target="_self">MaxADSspace</a> <font color="Maroon">y</font></span>)</span>,the <a href="pre_topc.html#U1">topology</a> of <span class="p1">(<span class="default"><a href="tex_4.html#K5" target="_self">MaxADSspace</a> <font color="Maroon">y</font></span>)</span> #)
 <b>by </b><i><a class="ref" href="tex_4.html#T17" target="_self">Th17</a>, <a class="ref" href="tsep_1.html#T5">TSEP_1:5</a></i>;<br/>


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