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<b>let </b><font color="Maroon">c<sub>1</sub></font> be   <a href="waybel_0.html#NM7">sup-Semilattice</a>;<br/>

<b>assume </b><a NAME="E1:8_1_1"/><i><font color="Green">E3</font></i>: 
<font color="Maroon">c<sub>1</sub></font> is <a href="abcmiz_0.html#V1" target="_self">Noetherian</a>
 ;<br/>

<b>thus </b><a NAME="E2:8_1_1"/>
<font color="Maroon">c<sub>1</sub></font> is   <a href="waybel_0.html#NM7">sup-Semilattice</a>
 ; <i><font color="Red">:: according to </font></i><a class="ref" href="abcmiz_0.html#D3" target="_self">ABCMIZ_0:def 3</a><br/>

<b>thus </b><a NAME="E3:8_1_1"/>
<font color="Maroon">c<sub>1</sub></font> is <a href="abcmiz_0.html#V1" target="_self">Noetherian</a>
 <b>by </b><i><a class="txt" href="abcmiz_0.html#E1:8_1_1"><i><font color="Green">E3</font></i></a></i>;<br/>


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