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<b>let </b><font color="Maroon">B1</font> be  non <a href="struct_0.html#V3">empty</a> <a href="altcat_1.html#V6">strict</a> <a href="altcat_2.html#V2">full</a> <a href="altcat_2.html#NM2">subcategory</a> of <font color="Maroon">W</font> <a href="yellow21.html#K6" target="_self">-UPS_category</a> , <font color="Maroon">B2</font> be  non <a href="struct_0.html#V3">empty</a> <a href="altcat_1.html#V6">strict</a> <a href="altcat_2.html#V2">full</a> <a href="altcat_2.html#NM2">subcategory</a> of <font color="Maroon">W</font> <a href="yellow21.html#K6" target="_self">-UPS_category</a> ;<br/>

<b>assume </b><b>that </b><br/><a NAME="E1:62_1_2"/><i><font color="Green">E40</font></i>: 
for <font color="Olive">a</font> being  <a href="altcat_1.html#NM1">object</a> of <span class="p1">(<span class="default"><font color="Maroon">W</font> <a href="yellow21.html#K6" target="_self">-UPS_category</a> </span>)</span> holds <br/> ( <font color="Olive">a</font> is   <a href="altcat_1.html#NM1">object</a> of <font color="Maroon">B1</font> iff <font color="Maroon">S<sub>1</sub></font>[<font color="Olive">a</font>] )
 <b>and </b><br/><a NAME="E2:62_1_2"/><i><font color="Green">E41</font></i>: 
for <font color="Olive">a</font> being  <a href="altcat_1.html#NM1">object</a> of <span class="p1">(<span class="default"><font color="Maroon">W</font> <a href="yellow21.html#K6" target="_self">-UPS_category</a> </span>)</span> holds <br/> ( <font color="Olive">a</font> is   <a href="altcat_1.html#NM1">object</a> of <font color="Maroon">B2</font> iff <font color="Maroon">S<sub>1</sub></font>[<font color="Olive">a</font>] )
 ;<br/>

<a NAME="E3:62_1_2"/>
 <a href="altcat_1.html#G2">AltCatStr</a>(# the <a href="struct_0.html#U1">carrier</a> of <font color="Maroon">B1</font>,the <a href="altcat_1.html#U1">Arrows</a> of <font color="Maroon">B1</font>,the <a href="altcat_1.html#U2">Comp</a> of <font color="Maroon">B1</font> #) <a href="hidden.html#R1">=</a>  <a href="altcat_1.html#G2">AltCatStr</a>(# the <a href="struct_0.html#U1">carrier</a> of <font color="Maroon">B2</font>,the <a href="altcat_1.html#U1">Arrows</a> of <font color="Maroon">B2</font>,the <a href="altcat_1.html#U2">Comp</a> of <font color="Maroon">B2</font> #)
 
<b>from </b><i><a class="ref" href="yellow20.html#S3">YELLOW20:sch 3</a>(, );<br/></i>
<b>hence </b><a NAME="E4:62_1_2"/>
<font color="Maroon">B1</font> <a href="hidden.html#R1">=</a> <font color="Maroon">B2</font>
 ;<br/>


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