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<b>let </b><font color="Maroon">c<sub>1</sub></font> be  <a href="yellow18.html#V3">set-id-inheriting</a> <a href="yellow21.html#V1" target="_self">carrier-underlaid</a> <a href="altcat_1.html#NM4">category</a>;<br/><b>let </b><font color="Maroon">c<sub>2</sub></font> be   <a href="altcat_1.html#NM1">object</a> of <font color="Maroon">c<sub>1</sub></font>;<br/>



<a NAME="E1:12"/>
ex <font color="Olive">b<sub>1</sub></font> being   <a href="struct_0.html#L1">1-sorted</a>  st <br/>( <font color="Maroon">c<sub>2</sub></font> <a href="hidden.html#R1">=</a> <font color="Olive">b<sub>1</sub></font> &amp;  <a href="yellow18.html#K3">the_carrier_of</a> <font color="Maroon">c<sub>2</sub></font> <a href="hidden.html#R1">=</a> the <a href="struct_0.html#U1">carrier</a> of <font color="Olive">b<sub>1</sub></font> )
 
<b>by </b><i><a class="ref" href="yellow21.html#D3" target="_self">Def3</a></i>;<br/>
<a NAME="E2:12"/><b>then </b>
 <a href="yellow18.html#K3">the_carrier_of</a> <font color="Maroon">c<sub>2</sub></font> <a href="hidden.html#R1">=</a> the <a href="struct_0.html#U1">carrier</a> of <span class="p1">(<span class="default"><font color="Maroon">c<sub>2</sub></font> <a href="yellow21.html#K1" target="_self">as_1-sorted</a> </span>)</span>
 
<b>by </b><i><a class="ref" href="yellow21.html#D1" target="_self">Def1</a></i>;<br/>
<b>hence </b> <a href="altcat_1.html#K8">idm</a> <font color="Maroon">c<sub>2</sub></font> = 
 <a href="partfun1.html#K6">id</a> the <a href="struct_0.html#U1">carrier</a> of <span class="p1">(<span class="default"><font color="Maroon">c<sub>2</sub></font> <a href="yellow21.html#K1" target="_self">as_1-sorted</a> </span>)</span>
<b>by </b><i><a class="ref" href="yellow18.html#D10">YELLOW18:def 10</a></i>
<br/>.= 
 <a href="grcat_1.html#K7">id</a> <span class="p1">(<span class="default"><font color="Maroon">c<sub>2</sub></font> <a href="yellow21.html#K1" target="_self">as_1-sorted</a> </span>)</span>
<b>by </b><i><a class="ref" href="grcat_1.html#D11">GRCAT_1:def 11</a></i>
;<br/><br/>


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