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<b>reconsider </b><font color="Maroon" title="c4">I</font> = <font color="Maroon" title="c1">L</font> as   <a href="filter_0.html#NM2" title="FILTER_0:NM.2">I_Lattice</a> <b>by </b><i><a class="txt" href="filter_1.html#E1:24"><i><font color="Green" title="E16">A1</font></i></a></i>;<br/>
<b>reconsider </b><font color="Maroon" title="c5">FI</font> = <font color="Maroon" title="c2">F</font> as    <a href="filter_0.html#M1" title="FILTER_0:mode.1">Filter</a> of <font color="Maroon" title="c4">I</font> ;<br/>
<b>reconsider </b><font color="Maroon" title="c6">i</font> = <font color="Maroon" title="c3">a</font> as   <a href="struct_0.html#NM1" title="STRUCT_0:NM.1">Element</a> of <font color="Maroon" title="c4">I</font> ;<br/>
<b>set </b><font color="Maroon" title="c7">R</font> =  <a href="filter_0.html#K11" title="FILTER_0:func.11">equivalence_wrt</a> <font color="Maroon" title="c5">FI</font>;<br/>
<b>reconsider </b><font color="Maroon" title="c8">j</font> = <font color="Maroon">H<sub>1</sub></font>(<font color="Maroon" title="c4">I</font>), <font color="Maroon" title="c9">m</font> = <font color="Maroon">H<sub>2</sub></font>(<font color="Maroon" title="c4">I</font>) as   <a href="filter_1.html#NM4" title="FILTER_1:NM.4">BinOp</a> of  <a href="filter_0.html#K11" title="FILTER_0:func.11">equivalence_wrt</a> <font color="Maroon" title="c5">FI</font> <b>by </b><i><a class="ref" href="filter_1.html#T13" target="_self" title="FILTER_1:th.13">Th13</a>, <a class="ref" href="filter_1.html#T14" target="_self" title="FILTER_1:th.14">Th14</a></i>;<br/>
<a NAME="E5:24_1_1"/>
<font color="Maroon" title="c4">I</font> <a href="filter_1.html#K4" title="FILTER_1:func.4">/\/</a> <font color="Maroon" title="c5">FI</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="lattices.html#G3" title="LATTICES:aggr.3">LattStr</a>(# <span class="p1">(<span class="default"><a href="eqrel_1.html#K9" title="EQREL_1:func.9">Class</a> <span class="p2">(<span class="default"><a href="filter_0.html#K11" title="FILTER_0:func.11">equivalence_wrt</a> <font color="Maroon" title="c5">FI</font></span>)</span></span>)</span>,<span class="p1">(<span class="default"><font color="Maroon" title="c8">j</font> <a href="filter_1.html#K3" title="FILTER_1:func.3">/\/</a> <span class="p2">(<span class="default"><a href="filter_0.html#K11" title="FILTER_0:func.11">equivalence_wrt</a> <font color="Maroon" title="c5">FI</font></span>)</span></span>)</span>,<span class="p1">(<span class="default"><font color="Maroon" title="c9">m</font> <a href="filter_1.html#K3" title="FILTER_1:func.3">/\/</a> <span class="p2">(<span class="default"><a href="filter_0.html#K11" title="FILTER_0:func.11">equivalence_wrt</a> <font color="Maroon" title="c5">FI</font></span>)</span></span>)</span> #)
 
<b>by </b><i><a class="ref" href="filter_1.html#D5" target="_self" title="FILTER_1:def.5">Def5</a></i>;<br/>
<b>then reconsider </b><font color="Maroon" title="c10">c</font> =  <a href="eqrel_1.html#K10" title="EQREL_1:func.10">EqClass</a> <span class="p1">(<span class="default"><a href="filter_0.html#K11" title="FILTER_0:func.11">equivalence_wrt</a> <font color="Maroon" title="c5">FI</font></span>)</span>,<font color="Maroon" title="c6">i</font> as   <a href="struct_0.html#NM1" title="STRUCT_0:NM.1">Element</a> of <span class="p1">(<span class="default"><font color="Maroon" title="c1">L</font> <a href="filter_1.html#K4" title="FILTER_1:func.4">/\/</a> <font color="Maroon" title="c2">F</font></span>)</span> ;<br/>
<b>take </b>
<font color="Maroon" title="c10">c</font>
;<br/>

<b>thus </b><a NAME="E7:24_1_1"/>
for <font color="Olive" title="b1">R</font> being  <a href="eqrel_1.html#NM2" title="EQREL_1:NM.2">Equivalence_Relation</a> of the <a href="struct_0.html#U1" title="STRUCT_0:sel.1">carrier</a> of <font color="Maroon" title="c1">L</font>  st <font color="Olive" title="b1">R</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="filter_0.html#K10" title="FILTER_0:func.10">equivalence_wrt</a> <font color="Maroon" title="c2">F</font> holds <br/><font color="Maroon" title="c10">c</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="eqrel_1.html#K7" title="EQREL_1:func.7">Class</a> <font color="Olive" title="b1">R</font>,<font color="Maroon" title="c3">a</font>
 ;<br/>


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