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<b>let </b><font color="Maroon">c<sub>1</sub></font> be    <a href="hidden.html#M1">set</a> ;<br/>

<i><font color="Green">E38</font></i>:  <a href="relat_1.html#K3">field</a> <span class="p1">(<span class="default"><a href="partfun1.html#K6">id</a> <font color="Maroon">c<sub>1</sub></font></span>)</span> = 
<span class="p1">(<span class="default"><a href="relset_1.html#K4">dom</a> <span class="p2">(<span class="default"><a href="partfun1.html#K6">id</a> <font color="Maroon">c<sub>1</sub></font></span>)</span></span>)</span> <a href="subset_1.html#K4">\/</a> <span class="p1">(<span class="default"><a href="relset_1.html#K5">rng</a> <span class="p2">(<span class="default"><a href="partfun1.html#K6">id</a> <font color="Maroon">c<sub>1</sub></font></span>)</span></span>)</span>

<br/>.= 
<font color="Maroon">c<sub>1</sub></font> <a href="xboole_0.html#K2">\/</a> <span class="p1">(<span class="default"><a href="relset_1.html#K5">rng</a> <span class="p2">(<span class="default"><a href="partfun1.html#K6">id</a> <font color="Maroon">c<sub>1</sub></font></span>)</span></span>)</span>
<b>by </b><i><a class="ref" href="relat_1.html#T71">RELAT_1:71</a></i>
<br/>.= 
<font color="Maroon">c<sub>1</sub></font> <a href="xboole_0.html#K2">\/</a> <font color="Maroon">c<sub>1</sub></font>
<b>by </b><i><a class="ref" href="relat_1.html#T71">RELAT_1:71</a></i>
<br/>.= 
<font color="Maroon">c<sub>1</sub></font>

;<br/>
<a NAME="E2:67"/>
(  <a href="partfun1.html#K6">id</a> <font color="Maroon">c<sub>1</sub></font> <a href="orders_1.html#NR1" target="_self">is_quasi-order</a>  &amp;  <a href="partfun1.html#K6">id</a> <font color="Maroon">c<sub>1</sub></font> <a href="orders_1.html#NR2" target="_self">is_partial-order</a>  )
 
<b>by </b><i><a class="ref" href="orders_1.html#T120" target="_self">Th120</a></i>;<br/>
<b>hence </b><a NAME="E3:67"/>
(  <a href="partfun1.html#K6">id</a> <font color="Maroon">c<sub>1</sub></font> <a href="orders_1.html#R1" target="_self">quasi_orders</a> <font color="Maroon">c<sub>1</sub></font> &amp;  <a href="partfun1.html#K6">id</a> <font color="Maroon">c<sub>1</sub></font> <a href="orders_1.html#R2" target="_self">partially_orders</a> <font color="Maroon">c<sub>1</sub></font> )
 <b>by </b><i><a class="txt" href="orders_1.html#E1:67"><i><font color="Green">E38</font></i></a>, <a class="ref" href="orders_1.html#T127" target="_self">Th127</a>, <a class="ref" href="orders_1.html#T130" target="_self">Th130</a></i>;<br/>


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