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<b>let </b><font color="Maroon">R</font> be  non <a href="struct_0.html#V3">empty</a> <a href="orders_2.html#V3">transitive</a>  <a href="orders_2.html#L1">RelStr</a> ;<br/><b>let </b><font color="Maroon">S</font> be  non <a href="xboole_0.html#V1">empty</a>  <a href="hidden.html#M1">set</a> ;<br/><b>let </b><font color="Maroon">f</font> be   <a href="funct_2.html#NM1">Function</a> of <font color="Maroon">S</font>,the <a href="struct_0.html#U1">carrier</a> of <font color="Maroon">R</font>;<br/>





<b>assume </b><b>that </b><br/><a NAME="E1:52"/><i><font color="Green">E41</font></i>: 
<font color="Maroon">S</font> <a href="tarski.html#R1">c=</a> the <a href="struct_0.html#U1">carrier</a> of <font color="Maroon">R</font>
 <b>and </b><br/><a NAME="E2:52"/><i><font color="Green">E53</font></i>: 
 <a href="waybel11.html#K3" target="_self">Net-Str</a> <font color="Maroon">S</font>,<font color="Maroon">f</font> is <a href="waybel_0.html#V7">directed</a>
 ;<br/>

<b>reconsider </b><font color="Maroon">N</font> =  <a href="waybel11.html#K3" target="_self">Net-Str</a> <font color="Maroon">S</font>,<font color="Maroon">f</font> as  <a href="waybel_0.html#V6">strict</a> <a href="waybel_0.html#NM2">net</a> of <font color="Maroon">R</font> <b>by </b><i/>;<br/>
<b>set </b><font color="Maroon">UN</font> =  <a href="yellow_6.html#K2">the_universe_of</a> the <a href="struct_0.html#U1">carrier</a> of <font color="Maroon">R</font>;<br/>
<b>reconsider </b><font color="Maroon">UN</font> =  <a href="yellow_6.html#K2">the_universe_of</a> the <a href="struct_0.html#U1">carrier</a> of <font color="Maroon">R</font> as  <a href="classes2.html#V1">universal</a>  <a href="hidden.html#M1">set</a>  ;<br/>
<a NAME="E5:52"/><i><font color="Green">E54</font></i>: 
 <a href="classes1.html#K5">the_transitive-closure_of</a> the <a href="struct_0.html#U1">carrier</a> of <font color="Maroon">R</font> <a href="hidden.html#R2">in</a> <font color="Maroon">UN</font>
 
<b>by </b><i><a class="ref" href="classes1.html#T5">CLASSES1:5</a></i>;<br/>
<a NAME="E6:52"/>
the <a href="struct_0.html#U1">carrier</a> of <font color="Maroon">R</font> <a href="tarski.html#R1">c=</a>  <a href="classes1.html#K5">the_transitive-closure_of</a> the <a href="struct_0.html#U1">carrier</a> of <font color="Maroon">R</font>
 
<b>by </b><i><a class="ref" href="classes1.html#T59">CLASSES1:59</a></i>;<br/>
<a NAME="E7:52"/><b>then </b>
the <a href="struct_0.html#U1">carrier</a> of <font color="Maroon">R</font> <a href="hidden.html#R2">in</a> <font color="Maroon">UN</font>
 
<b>by </b><i>, <a class="ref" href="classes1.html#T6">CLASSES1:6</a></i>;<br/>
<a NAME="E8:52"/><b>then </b><i><font color="Green">E63</font></i>: 
<font color="Maroon">S</font> <a href="hidden.html#R2">in</a> <font color="Maroon">UN</font>
 
<b>by </b><i>, <a class="ref" href="classes1.html#D1">CLASSES1:def 1</a></i>;<br/>
<a NAME="E9:52"/>
the <a href="struct_0.html#U1">carrier</a> of <font color="Maroon">N</font> <a href="hidden.html#R1">=</a> <font color="Maroon">S</font>
 
<b>by </b><i/>;<br/>
<b>hence </b><a NAME="E10:52"/>
 <a href="waybel11.html#K3" target="_self">Net-Str</a> <font color="Maroon">S</font>,<font color="Maroon">f</font> <a href="hidden.html#R2">in</a>  <a href="yellow_6.html#K7">NetUniv</a> <font color="Maroon">R</font>
 <b>by </b><i>, <a class="ref" href="yellow_6.html#D14">YELLOW_6:def 14</a></i>;<br/>


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