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<b>let </b><font color="Maroon">L</font> be  non <a href="struct_0.html#V3">empty</a>  <a href="orders_2.html#L1">RelStr</a> ;<br/><b>let </b><font color="Maroon">T1</font> be  <a href="pre_topc.html#V2">correct</a>  <a href="yellow_9.html#M1" target="_self">TopAugmentation</a> of <font color="Maroon">L</font>, <font color="Maroon">T2</font> be  <a href="pre_topc.html#V2">correct</a>  <a href="yellow_9.html#M1" target="_self">TopAugmentation</a> of <font color="Maroon">L</font>;<br/>



<a NAME="E1:94"/>
(  <a href="orders_2.html#G1">RelStr</a>(# the <a href="struct_0.html#U1">carrier</a> of <font color="Maroon">T1</font>,the <a href="orders_2.html#U1">InternalRel</a> of <font color="Maroon">T1</font> #) <a href="hidden.html#R1">=</a>  <a href="orders_2.html#G1">RelStr</a>(# the <a href="struct_0.html#U1">carrier</a> of <font color="Maroon">L</font>,the <a href="orders_2.html#U1">InternalRel</a> of <font color="Maroon">L</font> #) &amp;  <a href="orders_2.html#G1">RelStr</a>(# the <a href="struct_0.html#U1">carrier</a> of <font color="Maroon">T2</font>,the <a href="orders_2.html#U1">InternalRel</a> of <font color="Maroon">T2</font> #) <a href="hidden.html#R1">=</a>  <a href="orders_2.html#G1">RelStr</a>(# the <a href="struct_0.html#U1">carrier</a> of <font color="Maroon">L</font>,the <a href="orders_2.html#U1">InternalRel</a> of <font color="Maroon">L</font> #) )
 
<b>by </b><i/>;<br/>
<b>hence </b><a NAME="E2:94"/>
for <font color="Olive">T</font> being   <a href="yellow_9.html#M3" target="_self">Refinement</a> of <font color="Maroon">T1</font>,<font color="Maroon">T2</font> holds   <a href="setfam_1.html#K3">INTERSECTION</a> the <a href="pre_topc.html#U1">topology</a> of <font color="Maroon">T1</font>,the <a href="pre_topc.html#U1">topology</a> of <font color="Maroon">T2</font> is    <a href="cantor_1.html#M1">Basis</a> of <font color="Olive">T</font>
 <b>by </b><i/>;<br/>


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