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<b>let </b><font color="Maroon" title="c1">T</font> be  <a href="orders_2.html#V2" title="ORDERS_2:attr.2">reflexive</a> <a href="orders_2.html#V3" title="ORDERS_2:attr.3">transitive</a> <a href="orders_2.html#V4" title="ORDERS_2:attr.4">antisymmetric</a> <a href="lattice3.html#V1" title="LATTICE3:attr.1">with_suprema</a> <a href="abcmiz_0.html#V9" title="ABCMIZ_0:attr.9">adj-structured</a>  <a href="abcmiz_0.html#L2" title="ABCMIZ_0:struct.2">TA-structure</a> ;<br/><b>let </b><font color="Maroon" title="c2">a</font> be   <a href="abcmiz_0.html#NM2" title="ABCMIZ_0:NM.2">adjective</a> of <font color="Maroon" title="c1">T</font>;<br/><b>let </b><font color="Maroon" title="c3">t</font> be   <a href="abcmiz_0.html#NM1" title="ABCMIZ_0:NM.1">type</a> of <font color="Maroon" title="c1">T</font>;<br/>





<b>given </b><font color="Maroon" title="c4">t'</font> being   <a href="abcmiz_0.html#NM1" title="ABCMIZ_0:NM.1">type</a> of <font color="Maroon" title="c1">T</font><b> such that </b><a NAME="E1:49"/><i><font color="Green" title="E24">A1</font></i>: 
( <font color="Maroon" title="c4">t'</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a>  <a href="abcmiz_0.html#K3" title="ABCMIZ_0:func.3">types</a> <font color="Maroon" title="c2">a</font> &amp; <font color="Maroon" title="c4">t'</font> <a href="orders_2.html#R3" title="ORDERS_2:pred.3">&lt;=</a> <font color="Maroon" title="c3">t</font> )
 ; <i><font color="Red">:: according to </font></i><a class="ref" href="abcmiz_0.html#D15" target="_self" title="ABCMIZ_0:def.15">ABCMIZ_0:def 15</a><br/>

<a NAME="E2:49"/>
<font color="Maroon" title="c4">t'</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a>  <a href="waybel_0.html#K5" title="WAYBEL_0:func.5">downarrow</a> <font color="Maroon" title="c3">t</font>
 
<b>by </b><i><a class="txt" href="abcmiz_0.html#E1:49"><i><font color="Green" title="E24">A1</font></i></a>, <a class="ref" href="waybel_0.html#T17" title="WAYBEL_0:th.17">WAYBEL_0:17</a></i>;<br/>
<b>hence </b><a NAME="E3:49"/>
<span class="p1">(<span class="default"><a href="abcmiz_0.html#K3" title="ABCMIZ_0:func.3">types</a> <font color="Maroon" title="c2">a</font></span>)</span> <a href="finsub_1.html#K3" title="FINSUB_1:func.3">/\</a> <span class="p1">(<span class="default"><a href="waybel_0.html#K5" title="WAYBEL_0:func.5">downarrow</a> <font color="Maroon" title="c3">t</font></span>)</span> is   <a href="waybel_0.html#NM3" title="WAYBEL_0:NM.3">Ideal</a> of <font color="Maroon" title="c1">T</font>
 <b>by </b><i><a class="txt" href="abcmiz_0.html#E1:49"><i><font color="Green" title="E24">A1</font></i></a>, <a class="ref" href="waybel_0.html#T27" title="WAYBEL_0:th.27">WAYBEL_0:27</a>, <a class="ref" href="waybel_0.html#T44" title="WAYBEL_0:th.44">WAYBEL_0:44</a>, <a class="ref" href="xboole_0.html#D3" title="XBOOLE_0:def.3">XBOOLE_0:def 3</a></i>;<br/>


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