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<b>consider </b><font color="Maroon">O</font> being  <a href="struct_0.html#V1">strict</a> non <a href="struct_0.html#V3">empty</a> <a href="realset2.html#V3">trivial</a>  <a href="struct_0.html#L1">1-sorted</a> ;<br/>
<b>reconsider </b><font color="Maroon">tau</font> =  <a href="pcomps_1.html#K1">bool</a> the <a href="struct_0.html#U1">carrier</a> of <font color="Maroon">O</font> as   <a href="struct_0.html#NM3">Subset-Family</a> of <font color="Maroon">O</font> ;<br/>
<b>set </b><font color="Maroon">Y</font> =  <a href="pre_topc.html#G1">TopStruct</a>(# the <a href="struct_0.html#U1">carrier</a> of <font color="Maroon">O</font>,<font color="Maroon">tau</font> #);<br/>
<div><i><font color="Green">E16</font></i>: <a class="txt" onclick="hs2(this)" href="javascript:()" title="13_1_1_1"><b>now </b></a><div class="add"><b>consider </b><font color="Maroon">d</font> being   <a href="struct_0.html#NM1">Element</a> of <font color="Maroon">O</font><b> such that </b><br/><a NAME="E2:13_1_1_1"/><i><font color="Green">E17</font></i>: 
the <a href="struct_0.html#U1">carrier</a> of <font color="Maroon">O</font> <a href="hidden.html#R1">=</a> <span class="p1"><a href="domain_1.html#K6">{</a><span class="default"><font color="Maroon">d</font></span><a href="domain_1.html#K6">}</a></span>
 <b>by </b><i/>;<br/><b>reconsider </b><font color="Maroon">d</font> = <font color="Maroon">d</font> as   <a href="struct_0.html#NM1">Element</a> of <a href="pre_topc.html#G1">TopStruct</a>(# the <a href="struct_0.html#U1">carrier</a> of <font color="Maroon">O</font>,<font color="Maroon">tau</font> #) ;<br/><b>take </b><font color="Maroon">d</font> = <font color="Maroon">d</font>;<br/><b>thus </b><a NAME="E4:13_1_1_1"/>
the <a href="struct_0.html#U1">carrier</a> of <a href="pre_topc.html#G1">TopStruct</a>(# the <a href="struct_0.html#U1">carrier</a> of <font color="Maroon">O</font>,<font color="Maroon">tau</font> #) <a href="hidden.html#R1">=</a> <span class="p1"><a href="domain_1.html#K6">{</a><span class="default"><font color="Maroon">d</font></span><a href="domain_1.html#K6">}</a></span>
 <b>by </b><i/>;<br/></div><b>end;</b></div>
<b>reconsider </b><font color="Maroon">Y</font> =  <a href="pre_topc.html#G1">TopStruct</a>(# the <a href="struct_0.html#U1">carrier</a> of <font color="Maroon">O</font>,<font color="Maroon">tau</font> #) as  non <a href="struct_0.html#V3">empty</a> <a href="tdlat_3.html#V1">discrete</a>  <a href="pre_topc.html#L1">TopStruct</a>  <b>by </b><i><a class="ref" href="tdlat_3.html#D1">TDLAT_3:def 1</a></i>;<br/>
<b>reconsider </b><font color="Maroon">Y</font> = <font color="Maroon">Y</font> as  non <a href="struct_0.html#V3">empty</a> <a href="pre_topc.html#V2">TopSpace-like</a>  <a href="pre_topc.html#L1">TopStruct</a>  ;<br/>
<b>take </b>
<font color="Maroon">Y</font>
;<br/>

<b>thus </b><a NAME="E6:13_1_1"/>
( <font color="Maroon">Y</font> is <a href="realset2.html#V3">trivial</a> &amp; <font color="Maroon">Y</font> is <a href="pre_topc.html#V1">strict</a> &amp; not <font color="Maroon">Y</font> is <a href="struct_0.html#V3">empty</a> )
 <b>by </b><i>, </i>;<br/>


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