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<span class="kw">let </span><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:()"><span class="comment"><font color="Red">::  thesis: </font></span></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/>

<span class="kw">assume </span><a NAME="E1:8_1_1"/><span class="lab"><font color="Green" title="E3">A1</font></span>: 
<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:()"><span class="comment"><font color="Red">::  thesis: </font></span></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/>

<span class="kw">thus </span><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>
 ; <span class="comment"><font color="Red">:: according to </font></span><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:()"><span class="comment"><font color="Red">::  thesis: </font></span></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/>

<span class="kw">thus </span><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> 
 <span class="kw">by</span> <span class="lab"><a class="txt" href="#E1:8_1_1"><span class="lab"><font color="Green" title="E3">A1</font></span></a></span>; <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="Red">::  thesis: </font></span></a><span class="hide"> verum</span><br/>


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