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<b>let </b><font color="Maroon" title="c1">C</font> be  <a href="yellow18.html#V3" title="YELLOW18:attr.3">set-id-inheriting</a> <a href="yellow21.html#V1" title="YELLOW21:attr.1">carrier-underlaid</a> <a href="altcat_1.html#NM4" title="ALTCAT_1:NM.4">category</a>;<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 <font color="Maroon" title="c1">C</font>;<br/>



<a NAME="E1:12"/>
 ex <font color="Olive" title="b1">S</font> being   <a href="struct_0.html#L1" title="STRUCT_0:struct.1">1-sorted</a>  st <br/>( <font color="Maroon" title="c2">a</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b1">S</font> &amp;  <a href="yellow18.html#K3" title="YELLOW18:func.3">the_carrier_of</a> <font color="Maroon" title="c2">a</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> the <a href="struct_0.html#U1" title="STRUCT_0:sel.1">carrier</a> of <font color="Olive" title="b1">S</font> )
 
<b>by </b><i><a class="ref" href="yellow21.html#D3" target="_self" title="YELLOW21:def.3">Def3</a></i>;<br/>
<a NAME="E2:12"/><b>then </b>
 <a href="yellow18.html#K3" title="YELLOW18:func.3">the_carrier_of</a> <font color="Maroon" title="c2">a</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> 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="c2">a</font> <a href="yellow21.html#K1" title="YELLOW21:func.1">as_1-sorted</a> </span>)</span>
 
<b>by </b><i><a class="ref" href="yellow21.html#D1" target="_self" title="YELLOW21:def.1">Def1</a></i>;<br/>
<b>hence </b> <a href="altcat_1.html#K8" title="ALTCAT_1:func.8">idm</a> <font color="Maroon" title="c2">a</font> = 
 <a href="partfun1.html#K6" title="PARTFUN1:func.6">id</a> 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="c2">a</font> <a href="yellow21.html#K1" title="YELLOW21:func.1">as_1-sorted</a> </span>)</span>
<b>by </b><i><a class="ref" href="yellow18.html#D10" title="YELLOW18:def.10">YELLOW18:def 10</a></i>
<br/>.= 
 <a href="grcat_1.html#K7" title="GRCAT_1:func.7">id</a> <span class="p1">(<span class="default"><font color="Maroon" title="c2">a</font> <a href="yellow21.html#K1" title="YELLOW21:func.1">as_1-sorted</a> </span>)</span>
<b>by </b><i><a class="ref" href="grcat_1.html#D11" title="GRCAT_1:def.11">GRCAT_1:def 11</a></i>
;<br/><br/>


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