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<b>let </b><font color="Maroon" title="c3">R</font> be   <a href="relat_1.html#NM1" title="RELAT_1:NM.1">Relation</a>;<br/>

<b>assume </b><a NAME="E1:19_1_1"/><i><font color="Green" title="E7">a1</font></i>: 
<font color="Maroon" title="c3">R</font> is <a href="yellow16.html#V1" title="YELLOW16:attr.1">Poset-yielding</a>
 ;<br/>

<b>let </b><font color="Maroon" title="c4">S</font> be    <a href="orders_2.html#L1" title="ORDERS_2:struct.1">RelStr</a> ; <i><font color="Red">:: according to </font></i><a class="ref" href="pcs_0.html#D4" target="_self" title="PCS_0:def.4">PCS_0:def 4</a><br/>

<b>thus </b><a NAME="E2:19_1_1"/>
( <font color="Maroon" title="c4">S</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a>  <a href="relat_1.html#K2" title="RELAT_1:func.2">rng</a> <font color="Maroon" title="c3">R</font> implies <font color="Maroon" title="c4">S</font> is <a href="orders_2.html#V4" title="ORDERS_2:attr.4">transitive</a> )
 <b>by </b><i><a class="txt" href="pcs_0.html#E1:19_1_1"><i><font color="Green" title="E7">a1</font></i></a>, <a class="ref" href="yellow16.html#D5" title="YELLOW16:def.5">YELLOW16:def 5</a></i>;<br/>


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