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<span class="kw">reconsider </span><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> <span class="kw">by</span> <span class="lab"><a class="txt" href="#E1:24"><span class="lab"><font color="Green" title="E16">A1</font></span></a></span>;<br/>
<span class="kw">reconsider </span><font color="Maroon" title="c5">FI</font> = <font color="Maroon" title="c2">F</font> as   <a href="filter_0.html#NM1" title="FILTER_0:NM.1">Filter</a> of <font color="Maroon" title="c4">I</font> ;<br/>
<span class="kw">set </span><font color="Maroon" title="c6">R</font> =  <a href="filter_0.html#K9" title="FILTER_0:func.9">equivalence_wrt</a> <font color="Maroon" title="c5">FI</font>;<br/>
<span class="kw">reconsider </span><font color="Maroon" title="c7">j</font> = <font color="Maroon">H<sub>1</sub></font>(<font color="Maroon" title="c4">I</font>), <font color="Maroon" title="c8">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#K9" title="FILTER_0:func.9">equivalence_wrt</a> <font color="Maroon" title="c5">FI</font> <span class="kw">by</span> <span class="lab"><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></span>;<br/>
<span class="kw">reconsider </span><font color="Maroon" title="c9">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/>
<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#K8" title="EQREL_1:func.8">Class</a> <span class="p2">(<span class="default"><a href="filter_0.html#K9" title="FILTER_0:func.9">equivalence_wrt</a> <font color="Maroon" title="c5">FI</font></span>)</span></span>)</span>,<span class="p1">(<span class="default"><font color="Maroon" title="c7">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#K9" title="FILTER_0:func.9">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">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#K9" title="FILTER_0:func.9">equivalence_wrt</a> <font color="Maroon" title="c5">FI</font></span>)</span></span>)</span> #)
 
<span class="kw">by</span> <span class="lab"><a class="ref" href="filter_1.html#D5" target="_self" title="FILTER_1:def.5">Def5</a></span>;<br/>
<span class="kw">then </span><span class="kw">reconsider </span><font color="Maroon" title="c10">c</font> =  <a href="eqrel_1.html#K9" title="EQREL_1:func.9">EqClass</a> (<span class="p1">(<span class="default"><a href="filter_0.html#K9" title="FILTER_0:func.9">equivalence_wrt</a> <font color="Maroon" title="c5">FI</font></span>)</span>,<font color="Maroon" title="c9">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/>
<span class="kw">take </span>
<font color="Maroon" title="c10">c</font>
; <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">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#K8" title="FILTER_0:func.8">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#K6" title="EQREL_1:func.6">Class</a> (<font color="Olive" title="b1">R</font>,<font color="Maroon" title="c3">a</font>)</span><br/>

<span class="kw">thus </span><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#K8" title="FILTER_0:func.8">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#K6" title="EQREL_1:func.6">Class</a> (<font color="Olive" title="b1">R</font>,<font color="Maroon" title="c3">a</font>)
 ; <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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