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<b>let </b><font color="Maroon">c<sub>1</sub></font> be  <a href="group_1.html#V6">finite</a> <a href="waybel_1.html#V2">distributive</a> <a href="waybel_0.html#NM8">LATTICE</a>;<br/>

<b>consider </b><font color="Maroon">c<sub>2</sub></font> being   <a href="struct_0.html#NM7">Function</a> of <font color="Maroon">c<sub>1</sub></font>,<span class="p1">(<span class="default"><a href="yellow_1.html#K2">InclPoset</a> <span class="p2">(<span class="default"><a href="lattice7.html#K4" target="_self">LOWER</a> <span class="p3">(<span class="default"><a href="yellow_0.html#K5">subrelstr</a> <span class="p4">(<span class="default"><a href="lattice7.html#K3" target="_self">Join-IRR</a> <font color="Maroon">c<sub>1</sub></font></span>)</span></span>)</span></span>)</span></span>)</span><b> such that </b><br/><a NAME="E2:25"/><i><font color="Green">E19</font></i>: 
( <font color="Maroon">c<sub>2</sub></font> is <a href="waybel_0.html#V23">isomorphic</a> &amp; ( for <font color="Olive">b<sub>1</sub></font> being  <a href="struct_0.html#NM1">Element</a> of <font color="Maroon">c<sub>1</sub></font> holds <font color="Maroon">c<sub>2</sub></font> <a href="funct_2.html#K3">.</a> <font color="Olive">b<sub>1</sub></font> <a href="hidden.html#R1">=</a> <span class="p1">(<span class="default"><a href="waybel_0.html#K5">downarrow</a> <font color="Olive">b<sub>1</sub></font></span>)</span> <a href="subset_1.html#K9">/\</a> <span class="p1">(<span class="default"><a href="lattice7.html#K3" target="_self">Join-IRR</a> <font color="Maroon">c<sub>1</sub></font></span>)</span> ) )
 <b>by </b><i><a class="ref" href="lattice7.html#T13" target="_self">Th13</a></i>;<br/>
<b>thus </b><a NAME="E3:25"/>
<font color="Maroon">c<sub>1</sub></font>, <a href="yellow_1.html#K2">InclPoset</a> <span class="p1">(<span class="default"><a href="lattice7.html#K4" target="_self">LOWER</a> <span class="p2">(<span class="default"><a href="yellow_0.html#K5">subrelstr</a> <span class="p3">(<span class="default"><a href="lattice7.html#K3" target="_self">Join-IRR</a> <font color="Maroon">c<sub>1</sub></font></span>)</span></span>)</span></span>)</span> <a href="waybel_1.html#R5">are_isomorphic</a> 
 <b>by </b><i><a class="txt" href="lattice7.html#E2:25"><i><font color="Green">E19</font></i></a>, <a class="ref" href="waybel_1.html#D8">WAYBEL_1:def 8</a></i>;<br/>


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