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<b>set </b><font color="Maroon">c<sub>2</sub></font> =  <a href="yellow_0.html#K5">subrelstr</a> <span class="p1">(<span class="default"><a href="pre_topc.html#K2">[#]</a> <font color="Maroon">c<sub>1</sub></font></span>)</span>;<br/>
<b>defpred </b><font color="Maroon">S<sub>1</sub></font>[   <a href="hidden.html#M1">set</a> ] means <font color="Maroon">a<sub>1</sub></font> is  <a href="yellow_0.html#V4">full</a> <a href="yellow_0.html#V7">infs-inheriting</a>  <a href="yellow_0.html#M1">SubRelStr</a> of <font color="Maroon">c<sub>1</sub></font>;<br/>
<a NAME="E1:38_1_1"/><i><font color="Green">E18</font></i>: 
<font color="Maroon">S<sub>1</sub></font>[ <a href="yellow_0.html#K5">subrelstr</a> <span class="p1">(<span class="default"><a href="pre_topc.html#K2">[#]</a> <font color="Maroon">c<sub>1</sub></font></span>)</span>]
 
;<br/>
<a NAME="E2:38_1_1"/>
 <a href="yellow_0.html#K5">subrelstr</a> <span class="p1">(<span class="default"><a href="pre_topc.html#K2">[#]</a> <font color="Maroon">c<sub>1</sub></font></span>)</span> is   <a href="struct_0.html#NM1">Element</a> of <span class="p1">(<span class="default"><a href="waybel10.html#K4" target="_self">Sub</a> <font color="Maroon">c<sub>1</sub></font></span>)</span>
 
<b>by </b><i><a class="ref" href="waybel10.html#D3" target="_self">Def3</a></i>;<br/>
<a NAME="E3:38_1_1"/><b>then </b><i><font color="Green">E19</font></i>: 
 <a href="yellow_0.html#K5">subrelstr</a> <span class="p1">(<span class="default"><a href="pre_topc.html#K2">[#]</a> <font color="Maroon">c<sub>1</sub></font></span>)</span> <a href="hidden.html#R2">in</a> the <a href="struct_0.html#U1">carrier</a> of <span class="p1">(<span class="default"><a href="waybel10.html#K4" target="_self">Sub</a> <font color="Maroon">c<sub>1</sub></font></span>)</span>
 
;<br/>
<b>consider </b><font color="Maroon">c<sub>3</sub></font> being  non <a href="struct_0.html#V3">empty</a> <a href="orders_2.html#V1">strict</a> <a href="yellow_0.html#V4">full</a>  <a href="yellow_0.html#M1">SubRelStr</a> of  <a href="waybel10.html#K4" target="_self">Sub</a> <font color="Maroon">c<sub>1</sub></font><b> such that </b><br/><a NAME="E5:38_1_1"/><i><font color="Green">E20</font></i>: 
for <font color="Olive">b<sub>1</sub></font> being  <a href="struct_0.html#NM1">Element</a> of <span class="p1">(<span class="default"><a href="waybel10.html#K4" target="_self">Sub</a> <font color="Maroon">c<sub>1</sub></font></span>)</span> holds <br/>( <font color="Olive">b<sub>1</sub></font> is   <a href="struct_0.html#NM1">Element</a> of <font color="Maroon">c<sub>3</sub></font> iff <font color="Maroon">S<sub>1</sub></font>[<font color="Olive">b<sub>1</sub></font>] )
 <b>from </b><i><a class="ref" href="waybel10.html#S1" target="_self">WAYBEL10:sch 1</a>(<a class="txt" href="waybel10.html#E1:38_1_1"><i><font color="Green">E18</font></i></a>, <a class="txt" href="waybel10.html#E3:38_1_1"><i><font color="Green">E19</font></i></a>);<br/></i>
<b>take </b>
<font color="Maroon">c<sub>3</sub></font>
;<br/>

<b>let </b><font color="Maroon">c<sub>4</sub></font> be  <a href="orders_2.html#V1">strict</a>  <a href="yellow_0.html#M1">SubRelStr</a> of <font color="Maroon">c<sub>1</sub></font>;<br/>

<a NAME="E6:38_1_1"/>
<font color="Maroon">c<sub>4</sub></font> is   <a href="struct_0.html#NM1">Element</a> of <span class="p1">(<span class="default"><a href="waybel10.html#K4" target="_self">Sub</a> <font color="Maroon">c<sub>1</sub></font></span>)</span>
 
<b>by </b><i><a class="ref" href="waybel10.html#D3" target="_self">Def3</a></i>;<br/>
<b>hence </b><a NAME="E7:38_1_1"/>
( <font color="Maroon">c<sub>4</sub></font> is   <a href="struct_0.html#NM1">Element</a> of <font color="Maroon">c<sub>3</sub></font> iff ( <font color="Maroon">c<sub>4</sub></font> is <a href="yellow_0.html#V7">closure</a> &amp; <font color="Maroon">c<sub>4</sub></font> is <a href="yellow_0.html#V4">full</a> ) )
 <b>by </b><i><a class="txt" href="waybel10.html#E5:38_1_1"><i><font color="Green">E20</font></i></a></i>;<br/>


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