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<span class="kw">let </span><font color="Maroon" title="c1">Y</font> be    <a href="pre_topc.html#L1" title="PRE_TOPC:struct.1">TopStruct</a> ; <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="Red">::  thesis: </font></span></a><span class="hide"> ( <font color="Maroon" title="c1">Y</font> is  <a href="tdlat_3.html#V2" title="TDLAT_3:attr.2">anti-discrete</a>  implies <font color="Maroon" title="c1">Y</font> is  <a href="tdlat_3.html#V3" title="TDLAT_3:attr.3">almost_discrete</a>  )</span><br/>

<span class="kw">assume </span><a NAME="E1:21_2_1"/>
<font color="Maroon" title="c1">Y</font> is  <a href="tdlat_3.html#V2" title="TDLAT_3:attr.2">anti-discrete</a> 
 ; <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="Red">::  thesis: </font></span></a><span class="hide"> <font color="Maroon" title="c1">Y</font> is  <a href="tdlat_3.html#V3" title="TDLAT_3:attr.3">almost_discrete</a> </span><br/>

<a NAME="E2:21_2_1"/><span class="kw">then </span>
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">Y</font>  st <font color="Olive" title="b1">A</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a> the <a href="pre_topc.html#U1" title="PRE_TOPC:sel.1">topology</a> of <font color="Maroon" title="c1">Y</font> holds <br/>the <a href="struct_0.html#U1" title="STRUCT_0:sel.1">carrier</a> of <font color="Maroon" title="c1">Y</font> <a href="subset_1.html#K6" title="SUBSET_1:func.6">\</a> <font color="Olive" title="b1">A</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a> the <a href="pre_topc.html#U1" title="PRE_TOPC:sel.1">topology</a> of <font color="Maroon" title="c1">Y</font>
 
<span class="kw">by</span> <span class="lab"><a class="ref" href="tdlat_3.html#T15" target="_self" title="TDLAT_3:th.15">Th15</a></span>;<br/>
<span class="kw">hence </span><a NAME="E3:21_2_1"/>
<font color="Maroon" title="c1">Y</font> is  <a href="tdlat_3.html#V3" title="TDLAT_3:attr.3">almost_discrete</a> 
 <span class="kw">by</span> <span class="lab"><a class="ref" href="tdlat_3.html#D3" target="_self" title="TDLAT_3:def.3">Def3</a></span>; <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="Red">::  thesis: </font></span></a><span class="hide"> verum</span><br/>


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