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<b>let </b><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:()"><i><font color="Red">::  thesis: </font></i></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/><b>let </b><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:()"><i><font color="Red">::  thesis: </font></i></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>
 
<b>by </b><i><a class="ref" href="orders_1.html#D4" target="_self" title="ORDERS_1:def.4">Def4</a></i>;<br/>
<b>hence </b><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>
 <b>by </b><i><a class="ref" href="orders_1.html#T109" target="_self" title="ORDERS_1:th.109">Th109</a></i>; <a class="txt" onclick="hs(this)" href="javascript:()"><i><font color="Red">::  thesis: </font></i></a><span class="hide"> verum</span><br/>


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