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<span class="kw">set </span><font color="Maroon" title="c1">T</font> =  the  1 <a href="struct_0.html#V13" title="STRUCT_0:attr.13">-element</a>  <a href="waybel_0.html#NM8" title="WAYBEL_0:NM.8">LATTICE</a>;<br/>
<span class="kw">take </span>
 the  1 <a href="struct_0.html#V13" title="STRUCT_0:attr.13">-element</a>  <a href="waybel_0.html#NM8" title="WAYBEL_0:NM.8">LATTICE</a>
; <a class="txt" onmouseover="tooltip.show('hs',this)" onmouseout="tooltip.hide()" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide">  the  1 <a href="struct_0.html#V13" title="STRUCT_0:attr.13">-element</a>  <a href="waybel_0.html#NM8" title="WAYBEL_0:NM.8">LATTICE</a> is  <a href="abcmiz_0.html#V2" title="ABCMIZ_0:attr.2">Mizar-widening-like</a> </span><br/>

<span class="kw">thus </span><a NAME="E1:9_1_1"/>
 the  1 <a href="struct_0.html#V13" title="STRUCT_0:attr.13">-element</a>  <a href="waybel_0.html#NM8" title="WAYBEL_0:NM.8">LATTICE</a> is   <a href="waybel_0.html#NM7" title="WAYBEL_0:NM.7">sup-Semilattice</a>
 ; <span class="comment"><font color="firebrick">:: according to </font></span><a class="ref" href="abcmiz_0.html#D3" target="_self" onmouseover="rs('abcmiz_0/D3')" onmouseout="rh()">ABCMIZ_0:def 3</a> <a class="txt" onmouseover="tooltip.show('hs',this)" onmouseout="tooltip.hide()" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide">  the  1 <a href="struct_0.html#V13" title="STRUCT_0:attr.13">-element</a>  <a href="waybel_0.html#NM8" title="WAYBEL_0:NM.8">LATTICE</a> is  <a href="abcmiz_0.html#V1" title="ABCMIZ_0:attr.1">Noetherian</a> </span><br/>

<span class="kw">thus </span><a NAME="E2:9_1_1"/>
 the  1 <a href="struct_0.html#V13" title="STRUCT_0:attr.13">-element</a>  <a href="waybel_0.html#NM8" title="WAYBEL_0:NM.8">LATTICE</a> is  <a href="abcmiz_0.html#V1" title="ABCMIZ_0:attr.1">Noetherian</a> 
 ; <a class="txt" onmouseover="tooltip.show('hs',this)" onmouseout="tooltip.hide()" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide"> verum</span><br/>


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