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<a NAME="E1:11_1_1"/>
(  <a href="real_lat.html#K3" target="_self">Real_Lattice</a>  is <a href="lattices.html#V4">join-commutative</a> &amp;  <a href="real_lat.html#K3" target="_self">Real_Lattice</a>  is <a href="lattices.html#V5">join-associative</a> &amp;  <a href="real_lat.html#K3" target="_self">Real_Lattice</a>  is <a href="lattices.html#V8">meet-absorbing</a> &amp;  <a href="real_lat.html#K3" target="_self">Real_Lattice</a>  is <a href="lattices.html#V6">meet-commutative</a> &amp;  <a href="real_lat.html#K3" target="_self">Real_Lattice</a>  is <a href="lattices.html#V7">meet-associative</a> &amp;  <a href="real_lat.html#K3" target="_self">Real_Lattice</a>  is <a href="lattices.html#V9">join-absorbing</a> )
 
<b>by </b><i><a class="txt" href="real_lat.html#E5"><i><font color="Green">Lemma3</font></i></a>, <a class="txt" href="real_lat.html#E6"><i><font color="Green">Lemma4</font></i></a>, <a class="txt" href="real_lat.html#E7"><i><font color="Green">Lemma5</font></i></a>, <a class="txt" href="real_lat.html#E8"><i><font color="Green">Lemma6</font></i></a>, <a class="txt" href="real_lat.html#E9"><i><font color="Green">Lemma7</font></i></a>, <a class="txt" href="real_lat.html#E10"><i><font color="Green">Lemma8</font></i></a>, <a class="ref" href="lattices.html#D4">LATTICES:def 4</a>, <a class="ref" href="lattices.html#D5">LATTICES:def 5</a>, <a class="ref" href="lattices.html#D6">LATTICES:def 6</a>, <a class="ref" href="lattices.html#D7">LATTICES:def 7</a>, <a class="ref" href="lattices.html#D8">LATTICES:def 8</a>, <a class="ref" href="lattices.html#D9">LATTICES:def 9</a></i>;<br/>
<b>hence </b><a NAME="E2:11_1_1"/>
 <a href="real_lat.html#K3" target="_self">Real_Lattice</a>  is <a href="lattices.html#V10">Lattice-like</a>
 <b>by </b><i><a class="ref" href="lattices.html#D10">LATTICES:def 10</a></i>;<br/>


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