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<b>let </b><font color="Maroon" title="c1">N</font> be  non <a href="struct_0.html#V2" title="STRUCT_0:attr.2">empty</a> <a href="pre_topc.html#V2" title="PRE_TOPC:attr.2">TopSpace-like</a>  <a href="waybel_9.html#L1" title="WAYBEL_9:struct.1">TopRelStr</a> ;<br/>

<b>assume </b><a NAME="E1:51_1_1"/><i><font color="Green" title="E28">A1</font></i>: 
for <font color="Olive" title="b1">x</font> being  <a href="pre_topc.html#NM2" title="PRE_TOPC:NM.2">Point</a> of <font color="Maroon" title="c1">N</font>  ex <font color="Olive" title="b2">J</font> being   <a href="yellow_8.html#M1" title="YELLOW_8:mode.1">Basis</a> of <font color="Olive" title="b1">x</font> st <br/>for <font color="Olive" title="b3">A</font> being  <a href="struct_0.html#NM2" title="STRUCT_0:NM.2">Subset</a> of <font color="Maroon" title="c1">N</font>  st <font color="Olive" title="b3">A</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a> <font color="Olive" title="b2">J</font> holds <br/> <a href="yellow_0.html#K5" title="YELLOW_0:func.5">subrelstr</a> <font color="Olive" title="b3">A</font> is <a href="yellow_0.html#V5" title="YELLOW_0:attr.5">meet-inheriting</a>
 ; <i><font color="Red">:: according to </font></i><a class="ref" href="waybel30.html#D4" target="_self" title="WAYBEL30:def.4">WAYBEL30:def 4</a><br/>

<b>let </b><font color="Maroon" title="c2">x</font> be   <a href="pre_topc.html#NM2" title="PRE_TOPC:NM.2">Point</a> of <font color="Maroon" title="c1">N</font>; <i><font color="Red">:: according to </font></i><a class="ref" href="waybel30.html#D2" target="_self" title="WAYBEL30:def.2">WAYBEL30:def 2</a><br/>

<b>consider </b><font color="Maroon" title="c3">J</font> being    <a href="yellow_8.html#M1" title="YELLOW_8:mode.1">Basis</a> of <font color="Maroon" title="c2">x</font><b> such that </b><br/><a NAME="E3:51_1_1"/><i><font color="Green" title="E29">A2</font></i>: 
for <font color="Olive" title="b1">A</font> being  <a href="struct_0.html#NM2" title="STRUCT_0:NM.2">Subset</a> of <font color="Maroon" title="c1">N</font>  st <font color="Olive" title="b1">A</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a> <font color="Maroon" title="c3">J</font> holds <br/> <a href="yellow_0.html#K5" title="YELLOW_0:func.5">subrelstr</a> <font color="Olive" title="b1">A</font> is <a href="yellow_0.html#V5" title="YELLOW_0:attr.5">meet-inheriting</a>
 <b>by </b><i><a class="txt" href="waybel30.html#E1:51_1_1"><i><font color="Green" title="E28">A1</font></i></a></i>;<br/>
<b>reconsider </b><font color="Maroon" title="c4">J</font> = <font color="Maroon" title="c3">J</font> as    <a href="yellow13.html#M1" title="YELLOW13:mode.1">basis</a> of <font color="Maroon" title="c2">x</font> <b>by </b><i><a class="ref" href="yellow13.html#T23" title="YELLOW13:th.23">YELLOW13:23</a></i>;<br/>
<b>take </b>
<font color="Maroon" title="c4">J</font>
;<br/>

<b>thus </b><a NAME="E5:51_1_1"/>
for <font color="Olive" title="b1">A</font> being  <a href="struct_0.html#NM2" title="STRUCT_0:NM.2">Subset</a> of <font color="Maroon" title="c1">N</font>  st <font color="Olive" title="b1">A</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a> <font color="Maroon" title="c4">J</font> holds <br/> <a href="yellow_0.html#K5" title="YELLOW_0:func.5">subrelstr</a> <font color="Olive" title="b1">A</font> is <a href="yellow_0.html#V5" title="YELLOW_0:attr.5">meet-inheriting</a>
 <b>by </b><i><a class="txt" href="waybel30.html#E3:51_1_1"><i><font color="Green" title="E29">A2</font></i></a></i>;<br/>


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