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<b>let </b><font color="Maroon">N</font> be  non <a href="struct_0.html#V3">empty</a> <a href="pre_topc.html#V2">TopSpace-like</a>  <a href="waybel_9.html#L1">TopRelStr</a> ;<br/>

<b>assume </b><a NAME="E1:51_2_1"/><i><font color="Green">E35</font></i>: 
for <font color="Olive">x</font> being  <a href="pre_topc.html#NM2">Point</a> of <font color="Maroon">N</font>  ex <font color="Olive">J</font> being   <a href="yellow13.html#M1">basis</a> of <font color="Olive">x</font> st <br/>for <font color="Olive">A</font> being  <a href="struct_0.html#NM2">Subset</a> of <font color="Maroon">N</font>  st <font color="Olive">A</font> <a href="hidden.html#R2">in</a> <font color="Olive">J</font> holds <br/>(  <a href="yellow_0.html#K5">subrelstr</a> <font color="Olive">A</font> is <a href="yellow_0.html#V5">meet-inheriting</a> &amp; <font color="Olive">A</font> is <a href="compts_1.html#V6">compact</a> )
 ; <i><font color="Red">:: according to </font></i><a class="ref" href="waybel30.html#D3" target="_self">WAYBEL30:def 3</a><br/>

<b>let </b><font color="Maroon">x</font> be   <a href="pre_topc.html#NM2">Point</a> of <font color="Maroon">N</font>; <i><font color="Red">:: according to </font></i><a class="ref" href="waybel30.html#D2" target="_self">WAYBEL30:def 2</a><br/>

<b>consider </b><font color="Maroon">J</font> being    <a href="yellow13.html#M1">basis</a> of <font color="Maroon">x</font><b> such that </b><br/><a NAME="E3:51_2_1"/><i><font color="Green">E36</font></i>: 
for <font color="Olive">A</font> being  <a href="struct_0.html#NM2">Subset</a> of <font color="Maroon">N</font>  st <font color="Olive">A</font> <a href="hidden.html#R2">in</a> <font color="Maroon">J</font> holds <br/>(  <a href="yellow_0.html#K5">subrelstr</a> <font color="Olive">A</font> is <a href="yellow_0.html#V5">meet-inheriting</a> &amp; <font color="Olive">A</font> is <a href="compts_1.html#V6">compact</a> )
 <b>by </b><i/>;<br/>
<b>take </b>
<font color="Maroon">J</font>
;<br/>

<b>thus </b><a NAME="E4:51_2_1"/>
for <font color="Olive">A</font> being  <a href="struct_0.html#NM2">Subset</a> of <font color="Maroon">N</font>  st <font color="Olive">A</font> <a href="hidden.html#R2">in</a> <font color="Maroon">J</font> holds <br/> <a href="yellow_0.html#K5">subrelstr</a> <font color="Olive">A</font> is <a href="yellow_0.html#V5">meet-inheriting</a>
 <b>by </b><i/>;<br/>


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