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<b>let </b><font color="Maroon">X</font> be  non <a href="struct_0.html#V3">empty</a> <a href="pre_topc.html#NM1">TopSpace</a>;<br/><b>let </b><font color="Maroon">A1</font> be   <a href="struct_0.html#NM2">Subset</a> of <font color="Maroon">X</font>, <font color="Maroon">A2</font> be   <a href="struct_0.html#NM2">Subset</a> of <font color="Maroon">X</font>, <font color="Maroon">C1</font> be   <a href="struct_0.html#NM2">Subset</a> of <font color="Maroon">X</font>, <font color="Maroon">C2</font> be   <a href="struct_0.html#NM2">Subset</a> of <font color="Maroon">X</font>;<br/>



<b>assume </b><a NAME="E1:17"/><i><font color="Green">E12</font></i>: 
( <font color="Maroon">A1</font>,<font color="Maroon">C1</font> <a href="tsep_2.html#R2" target="_self">constitute_a_decomposition</a>  &amp; <font color="Maroon">A2</font>,<font color="Maroon">C2</font> <a href="tsep_2.html#R2" target="_self">constitute_a_decomposition</a>  )
 ;<br/>

<b>assume </b><a NAME="E2:17"/>
<font color="Maroon">A1</font>,<font color="Maroon">A2</font> <a href="connsp_1.html#R1">are_separated</a> 
 ;<br/>

<a NAME="E3:17"/><b>then </b>
<font color="Maroon">A1</font>,<font color="Maroon">A2</font> <a href="tsep_1.html#R2">are_weakly_separated</a> 
 
<b>by </b><i><a class="ref" href="tsep_1.html#T51">TSEP_1:51</a></i>;<br/>
<b>hence </b><a NAME="E4:17"/>
<font color="Maroon">C1</font>,<font color="Maroon">C2</font> <a href="tsep_1.html#R2">are_weakly_separated</a> 
 <b>by </b><i>, <a class="txt" href="tsep_2.html#E1:17"><i><font color="Green">E12</font></i></a></i>;<br/>


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