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<b>let </b><font color="Maroon" title="c1">Y</font> be  non <a href="struct_0.html#V2" title="STRUCT_0:attr.2">empty</a>  <a href="pre_topc.html#L1" title="PRE_TOPC:struct.1">TopStruct</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">Y</font>;<br/>



<a NAME="E1:27"/><i><font color="Green" title="E17">A1</font></i>: 
( <span class="p1"><a href="domain_1.html#K6" title="DOMAIN_1:func.6">{</a><span class="default"><font color="Maroon" title="c2">x</font></span><a href="domain_1.html#K6" title="DOMAIN_1:func.6">}</a></span> <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a>  <a href="xboole_0.html#K1" title="XBOOLE_0:func.1">{}</a>  &amp; <span class="p1"><a href="domain_1.html#K6" title="DOMAIN_1:func.6">{</a><span class="default"><font color="Maroon" title="c2">x</font></span><a href="domain_1.html#K6" title="DOMAIN_1:func.6">}</a></span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="setfam_1.html#K6" title="SETFAM_1:func.6">meet</a> <span class="p1">(<span class="default"><a href="tex_4.html#K1" title="TEX_4:func.1">MaxADSF</a> <font color="Maroon" title="c2">x</font></span>)</span> )
 
<b>by </b><i><a class="ref" href="tex_4.html#T13" target="_self" title="TEX_4:th.13">Th13</a></i>;<br/>
<a NAME="E2:27"/>
 <a href="tex_4.html#K1" title="TEX_4:func.1">MaxADSF</a> <font color="Maroon" title="c2">x</font> is <a href="tex_4.html#V2" title="TEX_4:attr.2">anti-discrete-set-family</a>
 
<b>by </b><i><a class="ref" href="tex_4.html#T12" target="_self" title="TEX_4:th.12">Th12</a></i>;<br/>
<b>hence </b><a NAME="E3:27"/>
 <a href="setfam_1.html#K5" title="SETFAM_1:func.5">union</a> <span class="p1">(<span class="default"><a href="tex_4.html#K1" title="TEX_4:func.1">MaxADSF</a> <font color="Maroon" title="c2">x</font></span>)</span> is <a href="tex_4.html#V1" title="TEX_4:attr.1">anti-discrete</a>
 <b>by </b><i><a class="txt" href="tex_4.html#E1:27"><i><font color="Green" title="E17">A1</font></i></a>, <a class="ref" href="tex_4.html#T10" target="_self" title="TEX_4:th.10">Th10</a></i>;<br/>


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