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<b>let </b><font color="Maroon" title="c1">W</font> be  <a href="setfam_1.html#NV3" title="SETFAM_1:NV.3">with_non-empty_element</a>  <a href="hidden.html#M1" title="HIDDEN:mode.1">set</a> ;<br/><b>let </b><font color="Maroon" title="c2">L</font> be   <a href="waybel_0.html#NM8" title="WAYBEL_0:NM.8">LATTICE</a>;<br/>



<b>assume </b><a NAME="E1:64"/><i><font color="Green" title="E26">A1</font></i>: 
the <a href="struct_0.html#U1" title="STRUCT_0:sel.1">carrier</a> of <font color="Maroon" title="c2">L</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a> <font color="Maroon" title="c1">W</font>
 ;<br/>

<div><b>hereby </b>
<div class="add"><b>assume </b><a NAME="E1:64_1"/>
<font color="Maroon" title="c2">L</font> is   <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="yellow21.html#K7" title="YELLOW21:func.7">-CONT_category</a> </span>)</span>
 ;<br/><b>then reconsider </b><font color="Maroon" title="c3">a</font> = <font color="Maroon" title="c2">L</font> as   <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="yellow21.html#K7" title="YELLOW21:func.7">-CONT_category</a> </span>)</span> ;<br/><a NAME="E3:64_1"/>
( <font color="Maroon" title="c2">L</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="yellow21.html#K4" title="YELLOW21:func.4">latt</a> <font color="Maroon" title="c3">a</font> &amp; <font color="Maroon" title="c3">a</font> is   <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="yellow21.html#K6" title="YELLOW21:func.6">-UPS_category</a> </span>)</span> )
 <b>by </b><i><a class="ref" href="altcat_2.html#T30" title="ALTCAT_2:th.30">ALTCAT_2:30</a></i>;<br/><b>hence </b><a NAME="E4:64_1"/>
( <font color="Maroon" title="c2">L</font> is <a href="orders_2.html#V1" title="ORDERS_2:attr.1">strict</a> &amp; <font color="Maroon" title="c2">L</font> is <a href="lattice3.html#V3" title="LATTICE3:attr.3">complete</a> &amp; <font color="Maroon" title="c2">L</font> is <a href="waybel_3.html#V3" title="WAYBEL_3:attr.3">continuous</a> )
 <b>by </b><i><a class="txt" href="yellow21.html#E1:64"><i><font color="Green" title="E26">A1</font></i></a>, <a class="ref" href="yellow21.html#D11" target="_self" title="YELLOW21:def.11">Def11</a>, <a class="ref" href="yellow21.html#T14" target="_self" title="YELLOW21:th.14">Th14</a></i>;<br/></div>
<b>end;</b></div>

<b>assume </b><a NAME="E3:64"/><i><font color="Green" title="E27">A2</font></i>: 
( <font color="Maroon" title="c2">L</font> is <a href="orders_2.html#V1" title="ORDERS_2:attr.1">strict</a> &amp; <font color="Maroon" title="c2">L</font> is <a href="lattice3.html#V3" title="LATTICE3:attr.3">complete</a> &amp; <font color="Maroon" title="c2">L</font> is <a href="waybel_3.html#V3" title="WAYBEL_3:attr.3">continuous</a> )
 ;<br/>

<b>then reconsider </b><font color="Maroon" title="c3">a</font> = <font color="Maroon" title="c2">L</font> as   <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="yellow21.html#K6" title="YELLOW21:func.6">-UPS_category</a> </span>)</span> <b>by </b><i><a class="txt" href="yellow21.html#E1:64"><i><font color="Green" title="E26">A1</font></i></a>, <a class="ref" href="yellow21.html#T14" target="_self" title="YELLOW21:th.14">Th14</a></i>;<br/>
<a NAME="E5:64"/>
 <a href="yellow21.html#K4" title="YELLOW21:func.4">latt</a> <font color="Maroon" title="c3">a</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c2">L</font>
 
;<br/>
<b>hence </b><a NAME="E6:64"/>
<font color="Maroon" title="c2">L</font> is   <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="yellow21.html#K7" title="YELLOW21:func.7">-CONT_category</a> </span>)</span>
 <b>by </b><i><a class="txt" href="yellow21.html#E3:64"><i><font color="Green" title="E27">A2</font></i></a>, <a class="ref" href="yellow21.html#D11" target="_self" title="YELLOW21:def.11">Def11</a></i>;<br/>


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