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<b>let </b><font color="Maroon" title="c1">L1</font>, <font color="Maroon" title="c2">L2</font>, <font color="Maroon" title="c3">L3</font> be   <a href="lattices.html#NM1" title="LATTICES:NM.1">Lattice</a>; <a class="txt" onclick="hs(this)" href="javascript:()"><i><font color="Red">::  thesis: </font></i></a><span class="hide"> ( <font color="Maroon" title="c1">L1</font>,<font color="Maroon" title="c2">L2</font> <a href="filter_1.html#R1" title="FILTER_1:pred.1">are_isomorphic</a>  &amp; <font color="Maroon" title="c2">L2</font>,<font color="Maroon" title="c3">L3</font> <a href="filter_1.html#R1" title="FILTER_1:pred.1">are_isomorphic</a>  implies <font color="Maroon" title="c1">L1</font>,<font color="Maroon" title="c3">L3</font> <a href="filter_1.html#R1" title="FILTER_1:pred.1">are_isomorphic</a>  )</span><br/>

<b>assume </b><a NAME="E1:53"/>
(  <a href="filter_1.html#K8" title="FILTER_1:func.8">LattRel</a> <font color="Maroon" title="c1">L1</font>, <a href="filter_1.html#K8" title="FILTER_1:func.8">LattRel</a> <font color="Maroon" title="c2">L2</font> <a href="wellord1.html#R4" title="WELLORD1:pred.4">are_isomorphic</a>  &amp;  <a href="filter_1.html#K8" title="FILTER_1:func.8">LattRel</a> <font color="Maroon" title="c2">L2</font>, <a href="filter_1.html#K8" title="FILTER_1:func.8">LattRel</a> <font color="Maroon" title="c3">L3</font> <a href="wellord1.html#R4" title="WELLORD1:pred.4">are_isomorphic</a>  )
 ; <i><font color="Red">:: according to </font></i><a class="ref" href="filter_1.html#D9" target="_self" title="FILTER_1:def.9">FILTER_1:def 9</a> <a class="txt" onclick="hs(this)" href="javascript:()"><i><font color="Red">::  thesis: </font></i></a><span class="hide"> <font color="Maroon" title="c1">L1</font>,<font color="Maroon" title="c3">L3</font> <a href="filter_1.html#R1" title="FILTER_1:pred.1">are_isomorphic</a> </span><br/>

<b>hence </b><a NAME="E2:53"/>
 <a href="filter_1.html#K8" title="FILTER_1:func.8">LattRel</a> <font color="Maroon" title="c1">L1</font>, <a href="filter_1.html#K8" title="FILTER_1:func.8">LattRel</a> <font color="Maroon" title="c3">L3</font> <a href="wellord1.html#R4" title="WELLORD1:pred.4">are_isomorphic</a> 
 <b>by </b><i><a class="ref" href="wellord1.html#T52" title="WELLORD1:th.52">WELLORD1:52</a></i>; <i><font color="Red">:: according to </font></i><a class="ref" href="filter_1.html#D9" target="_self" title="FILTER_1:def.9">FILTER_1:def 9</a> <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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