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<b>thus </b><a NAME="E1:27_2_1"/>
<font color="Maroon" title="c1">W</font> <a href="waybel34.html#K5" title="WAYBEL34:func.5">-SUP_category</a>  is <a href="yellow21.html#V2" title="YELLOW21:attr.2">lattice-wise</a>
 ; <i><font color="Red">:: according to </font></i><a class="ref" href="yellow21.html#D5" title="YELLOW21:def.5">YELLOW21:def 5</a> <a class="txt" onclick="hs(this)" href="javascript:()"><i><font color="Red">::  thesis: </font></i></a><span class="hide"> for <font color="Olive">b<sub>1</sub></font> being   <a href="subset_1.html#M1" title="SUBSET_1:mode.1">Element</a> of the <a href="struct_0.html#U1" title="STRUCT_0:sel.1">carrier</a> of <span class="p1">(<span class="default"><font color="Maroon" title="c1">W</font> <a href="waybel34.html#K5" title="WAYBEL34:func.5">-SUP_category</a> </span>)</span> holds  <font color="Olive">b<sub>1</sub></font> is    <a href="orders_2.html#L1" title="ORDERS_2:struct.1">RelStr</a> </span><br/>

<b>let </b><font color="Maroon" title="c2">a</font> be   <a href="altcat_1.html#NM1" title="ALTCAT_1:NM.1">object</a> of <span class="p1">(<span class="default"><font color="Maroon" title="c1">W</font> <a href="waybel34.html#K5" title="WAYBEL34:func.5">-SUP_category</a> </span>)</span>; <a class="txt" onclick="hs(this)" href="javascript:()"><i><font color="Red">::  thesis: </font></i></a><span class="hide"> <font color="Maroon" title="c2">a</font> is    <a href="orders_2.html#L1" title="ORDERS_2:struct.1">RelStr</a> </span><br/>

<a NAME="E2:27_2_1"/><i><font color="Green" title="E17">A2</font></i>: 
 ex <font color="Olive" title="b1">x</font> being non <a href="xboole_0.html#V1" title="XBOOLE_0:attr.1">empty</a>  <a href="hidden.html#M1" title="HIDDEN:mode.1">set</a>  st <font color="Olive" title="b1">x</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a> <font color="Maroon" title="c1">W</font>
 
<b>by </b><i><a class="ref" href="setfam_1.html#D11" title="SETFAM_1:def.11">SETFAM_1:def 11</a></i>;<br/>
<a NAME="E3:27_2_1"/>
<font color="Maroon" title="c2">a</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="yellow21.html#K3" title="YELLOW21:func.3">latt</a> <font color="Maroon" title="c2">a</font>
 
;<br/>
<b>hence </b><a NAME="E4:27_2_1"/>
<font color="Maroon" title="c2">a</font> is    <a href="orders_2.html#L1" title="ORDERS_2:struct.1">RelStr</a> 
 <b>by </b><i><a class="txt" href="#E2:27_2_1"><i><font color="Green" title="E17">A2</font></i></a>, <a class="ref" href="waybel34.html#D5" target="_self" title="WAYBEL34:def.5">Def5</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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