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<b>let </b><font color="Maroon">GX</font> be  non <a href="struct_0.html#V3">empty</a> <a href="pre_topc.html#NM1">TopSpace</a>;<br/>

<b>assume </b><a NAME="E1:35"/>
for <font color="Olive">x</font>, <font color="Olive">y</font> being  <a href="pre_topc.html#NM2">Point</a> of <font color="Maroon">GX</font> holds  <font color="Olive">x</font>,<font color="Olive">y</font> <a href="connsp_1.html#R2" target="_self">are_joined</a> 
 ;<br/>

<a NAME="E2:35"/><b>then </b>
 ex <font color="Olive">x</font> being  <a href="pre_topc.html#NM2">Point</a> of <font color="Maroon">GX</font> st <br/>for <font color="Olive">y</font> being  <a href="pre_topc.html#NM2">Point</a> of <font color="Maroon">GX</font> holds  <font color="Olive">x</font>,<font color="Olive">y</font> <a href="connsp_1.html#R2" target="_self">are_joined</a> 
 
<b>by </b><i><a class="ref" href="connsp_1.html#T5" target="_self">Th5</a></i>;<br/>
<b>hence </b><a NAME="E3:35"/>
<font color="Maroon">GX</font> is <a href="connsp_1.html#V1" target="_self">connected</a>
 <b>by </b><i/>;<br/>


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