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<b>let </b><font color="Maroon" title="c1">Y0</font>, <font color="Maroon" title="c2">Y1</font> be    <a href="pre_topc.html#L1" title="PRE_TOPC:struct.1">TopStruct</a> ;<br/><b>let </b><font color="Maroon" title="c3">D0</font> be   <a href="struct_0.html#NM2" title="STRUCT_0:NM.2">Subset</a> of <font color="Maroon" title="c1">Y0</font>;<br/><b>let </b><font color="Maroon" title="c4">D1</font> be   <a href="struct_0.html#NM2" title="STRUCT_0:NM.2">Subset</a> of <font color="Maroon" title="c2">Y1</font>;<br/>





<b>assume </b><a NAME="E1:86"/><i><font color="Green" title="E35">A1</font></i>: 
 <a href="pre_topc.html#G1" title="PRE_TOPC:aggr.1">TopStruct</a>(# the <a href="struct_0.html#U1" title="STRUCT_0:sel.1">carrier</a> of <font color="Maroon" title="c1">Y0</font>,the <a href="pre_topc.html#U1" title="PRE_TOPC:sel.1">topology</a> of <font color="Maroon" title="c1">Y0</font> #) <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="pre_topc.html#G1" title="PRE_TOPC:aggr.1">TopStruct</a>(# the <a href="struct_0.html#U1" title="STRUCT_0:sel.1">carrier</a> of <font color="Maroon" title="c2">Y1</font>,the <a href="pre_topc.html#U1" title="PRE_TOPC:sel.1">topology</a> of <font color="Maroon" title="c2">Y1</font> #)
 ;<br/>

<b>assume </b><a NAME="E2:86"/><i><font color="Green" title="E36">A2</font></i>: 
<font color="Maroon" title="c3">D0</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c4">D1</font>
 ;<br/>

<b>assume </b><a NAME="E3:86"/><i><font color="Green" title="E37">A3</font></i>: 
<font color="Maroon" title="c3">D0</font> is <a href="tex_2.html#V4" title="TEX_2:attr.4">maximal_discrete</a>
 ;<br/>

<a NAME="E4:86"/><b>then </b>
<font color="Maroon" title="c3">D0</font> is <a href="tex_2.html#V3" title="TEX_2:attr.3">discrete</a>
 
<b>by </b><i><a class="ref" href="tex_2.html#D7" target="_self" title="TEX_2:def.7">Def7</a></i>;<br/>
<a NAME="E5:86"/><b>then </b><i><font color="Green" title="E38">A4</font></i>: 
<font color="Maroon" title="c4">D1</font> is <a href="tex_2.html#V3" title="TEX_2:attr.3">discrete</a>
 
<b>by </b><i><a class="txt" href="tex_2.html#E1:86"><i><font color="Green" title="E35">A1</font></i></a>, <a class="txt" href="tex_2.html#E2:86"><i><font color="Green" title="E36">A2</font></i></a>, <a class="ref" href="tex_2.html#T25" target="_self" title="TEX_2:th.25">Th25</a></i>;<br/>
<div><a class="txt" onclick="hs2(this)" href="javascript:()" title="86_1"><b>now </b></a><div class="add"><b>let </b><font color="Maroon" title="c5">D</font> be   <a href="struct_0.html#NM2" title="STRUCT_0:NM.2">Subset</a> of <font color="Maroon" title="c2">Y1</font>;<br/><b>assume </b><a NAME="E1:86_1"/><i><font color="Green" title="E39">A5</font></i>: 
<font color="Maroon" title="c5">D</font> is <a href="tex_2.html#V3" title="TEX_2:attr.3">discrete</a>
 ;<br/><b>assume </b><a NAME="E2:86_1"/><i><font color="Green" title="E40">A6</font></i>: 
<font color="Maroon" title="c4">D1</font> <a href="tarski.html#R1" title="TARSKI:pred.1">c=</a> <font color="Maroon" title="c5">D</font>
 ;<br/><b>reconsider </b><font color="Maroon" title="c6">E</font> = <font color="Maroon" title="c5">D</font> as   <a href="struct_0.html#NM2" title="STRUCT_0:NM.2">Subset</a> of <font color="Maroon" title="c1">Y0</font> <b>by </b><i><a class="txt" href="tex_2.html#E1:86"><i><font color="Green" title="E35">A1</font></i></a></i>;<br/><a NAME="E4:86_1"/>
( <font color="Maroon" title="c6">E</font> is <a href="tex_2.html#V3" title="TEX_2:attr.3">discrete</a> &amp; <font color="Maroon" title="c3">D0</font> <a href="tarski.html#R1" title="TARSKI:pred.1">c=</a> <font color="Maroon" title="c6">E</font> )
 <b>by </b><i><a class="txt" href="tex_2.html#E1:86"><i><font color="Green" title="E35">A1</font></i></a>, <a class="txt" href="tex_2.html#E2:86"><i><font color="Green" title="E36">A2</font></i></a>, <a class="txt" href="tex_2.html#E1:86_1"><i><font color="Green" title="E39">A5</font></i></a>, <a class="txt" href="tex_2.html#E2:86_1"><i><font color="Green" title="E40">A6</font></i></a>, <a class="ref" href="tex_2.html#T25" target="_self" title="TEX_2:th.25">Th25</a></i>;<br/><b>hence </b><a NAME="E5:86_1"/>
<font color="Maroon" title="c4">D1</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c5">D</font>
 <b>by </b><i><a class="txt" href="tex_2.html#E2:86"><i><font color="Green" title="E36">A2</font></i></a>, <a class="txt" href="tex_2.html#E3:86"><i><font color="Green" title="E37">A3</font></i></a>, <a class="ref" href="tex_2.html#D7" target="_self" title="TEX_2:def.7">Def7</a></i>;<br/></div><b>end;</b></div>
<b>hence </b><a NAME="E7:86"/>
<font color="Maroon" title="c4">D1</font> is <a href="tex_2.html#V4" title="TEX_2:attr.4">maximal_discrete</a>
 <b>by </b><i><a class="txt" href="tex_2.html#E5:86"><i><font color="Green" title="E38">A4</font></i></a>, <a class="ref" href="tex_2.html#D7" target="_self" title="TEX_2:def.7">Def7</a></i>;<br/>


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