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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">A</font> be   <a href="struct_0.html#NM2">Subset</a> of <font color="Maroon">Y</font>, <font color="Maroon">B</font> be   <a href="struct_0.html#NM2">Subset</a> of <font color="Maroon">Y</font>;<br/>



<b>assume </b><a NAME="E1:53"/>
<font color="Maroon">A</font> <a href="tarski.html#R1">c=</a>  <a href="tex_4.html#K3" target="_self">MaxADSet</a> <font color="Maroon">B</font>
 ;<br/>

<a NAME="E2:53"/><b>then </b>
 <a href="tex_4.html#K3" target="_self">MaxADSet</a> <font color="Maroon">A</font> <a href="tarski.html#R1">c=</a>  <a href="tex_4.html#K3" target="_self">MaxADSet</a> <span class="p1">(<span class="default"><a href="tex_4.html#K3" target="_self">MaxADSet</a> <font color="Maroon">B</font></span>)</span>
 
<b>by </b><i><a class="ref" href="tex_4.html#D2" target="_self">Def2</a></i>;<br/>
<b>hence </b><a NAME="E3:53"/>
 <a href="tex_4.html#K3" target="_self">MaxADSet</a> <font color="Maroon">A</font> <a href="tarski.html#R1">c=</a>  <a href="tex_4.html#K3" target="_self">MaxADSet</a> <font color="Maroon">B</font>
 <b>by </b><i/>;<br/>


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