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<b>let </b><font color="Maroon" title="c1">T</font> be   <a href="waybel_0.html#NM7" title="WAYBEL_0:NM.7">sup-Semilattice</a>; <a class="txt" onclick="hs(this)" href="javascript:()"><i><font color="Red">::  thesis: </font></i></a><span class="hide"> ( <font color="Maroon" title="c1">T</font> is <a href="abcmiz_0.html#V1" title="ABCMIZ_0:attr.1">Noetherian</a> implies <font color="Maroon" title="c1">T</font> is <a href="abcmiz_0.html#V2" title="ABCMIZ_0:attr.2">Mizar-widening-like</a> )</span><br/>

<b>assume </b><a NAME="E1:8_1_1"/><i><font color="Green" title="E3">A1</font></i>: 
<font color="Maroon" title="c1">T</font> is <a href="abcmiz_0.html#V1" title="ABCMIZ_0:attr.1">Noetherian</a>
 ; <a class="txt" onclick="hs(this)" href="javascript:()"><i><font color="Red">::  thesis: </font></i></a><span class="hide"> <font color="Maroon" title="c1">T</font> is <a href="abcmiz_0.html#V2" title="ABCMIZ_0:attr.2">Mizar-widening-like</a></span><br/>

<b>thus </b><a NAME="E2:8_1_1"/>
<font color="Maroon" title="c1">T</font> is   <a href="waybel_0.html#NM7" title="WAYBEL_0:NM.7">sup-Semilattice</a>
 ; <i><font color="Red">:: according to </font></i><a class="ref" href="abcmiz_0.html#D3" target="_self" title="ABCMIZ_0:def.3">ABCMIZ_0:def 3</a> <a class="txt" onclick="hs(this)" href="javascript:()"><i><font color="Red">::  thesis: </font></i></a><span class="hide"> <font color="Maroon" title="c1">T</font> is <a href="abcmiz_0.html#V1" title="ABCMIZ_0:attr.1">Noetherian</a></span><br/>

<b>thus </b><a NAME="E3:8_1_1"/>
<font color="Maroon" title="c1">T</font> is <a href="abcmiz_0.html#V1" title="ABCMIZ_0:attr.1">Noetherian</a>
 <b>by </b><i><a class="txt" href="abcmiz_0.html#E1:8_1_1"><i><font color="Green" title="E3">A1</font></i></a></i>; <a class="txt" onclick="hs(this)" href="javascript:()"><i><font color="Red">::  thesis: </font></i></a><span class="hide"> verum</span><br/>


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