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<span class="kw">let </span><font color="Maroon" title="c1">X</font> be    <a href="hidden.html#M1" title="HIDDEN:mode.1">set</a> ; <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide">  for <font color="Olive" title="b1">O</font> being   <a href="orders_1.html#NM2" title="ORDERS_1:NM.2">Order</a> of <font color="Maroon" title="c1">X</font> holds  <font color="Olive" title="b1">O</font> is  <a href="orders_1.html#V1" title="ORDERS_1:attr.1">being_quasi-order</a> </span><br/><span class="kw">let </span><font color="Maroon" title="c2">O</font> be   <a href="orders_1.html#NM2" title="ORDERS_1:NM.2">Order</a> of <font color="Maroon" title="c1">X</font>; <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide"> <font color="Maroon" title="c2">O</font> is  <a href="orders_1.html#V1" title="ORDERS_1:attr.1">being_quasi-order</a> </span><br/>



<a NAME="E1:28"/>
<font color="Maroon" title="c2">O</font> is  <a href="orders_1.html#V2" title="ORDERS_1:attr.2">being_partial-order</a> 
 
<span class="kw">by</span> <span class="lab"><a class="ref" href="orders_1.html#D4" target="_self" title="ORDERS_1:def.4">Def4</a></span>;<br/>
<span class="kw">hence </span><a NAME="E2:28"/>
<font color="Maroon" title="c2">O</font> is  <a href="orders_1.html#V1" title="ORDERS_1:attr.1">being_quasi-order</a> 
 <span class="kw">by</span> <span class="lab"><a class="ref" href="orders_1.html#T21" target="_self" title="ORDERS_1:th.21">Th109</a></span>; <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide"> verum</span><br/>


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