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<span class="kw">let </span><font color="Maroon" title="c1">A</font> be   non  <a href="xboole_0.html#V1" title="XBOOLE_0:attr.1">empty</a>   <a href="hidden.html#M1" title="HIDDEN:mode.1">set</a> ; <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide">  <a href="real_lat.html#K6" title="REAL_LAT:func.6">RealFunc_Lattice</a> <font color="Maroon" title="c1">A</font> is   <a href="lattices.html#NM2" title="LATTICES:NM.2">D_Lattice</a></span><br/>

<a NAME="E1:38"/>
 for <font color="Olive" title="b1">p</font>, <font color="Olive" title="b2">q</font>, <font color="Olive" title="b3">r</font> being   <a href="struct_0.html#NM1" title="STRUCT_0:NM.1">Element</a> of <span class="p1">(<span class="default"><a href="real_lat.html#K6" title="REAL_LAT:func.6">RealFunc_Lattice</a> <font color="Maroon" title="c1">A</font></span>)</span> holds  <font color="Olive" title="b1">p</font> <a href="lattices.html#K4" title="LATTICES:func.4">"/\"</a> <span class="p1">(<span class="default"><font color="Olive" title="b2">q</font> <a href="lattices.html#K3" title="LATTICES:func.3">"\/"</a> <font color="Olive" title="b3">r</font></span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default"><font color="Olive" title="b1">p</font> <a href="lattices.html#K4" title="LATTICES:func.4">"/\"</a> <font color="Olive" title="b2">q</font></span>)</span> <a href="lattices.html#K3" title="LATTICES:func.3">"\/"</a> <span class="p1">(<span class="default"><font color="Olive" title="b1">p</font> <a href="lattices.html#K4" title="LATTICES:func.4">"/\"</a> <font color="Olive" title="b3">r</font></span>)</span>
 
<span class="kw">by</span> <span class="lab"><a class="ref" href="real_lat.html#T20" target="_self" title="REAL_LAT:th.20">Th32</a></span>;<br/>
<span class="kw">hence </span><a NAME="E2:38"/>
 <a href="real_lat.html#K6" title="REAL_LAT:func.6">RealFunc_Lattice</a> <font color="Maroon" title="c1">A</font> is   <a href="lattices.html#NM2" title="LATTICES:NM.2">D_Lattice</a>
 <span class="kw">by</span> <span class="lab"><a class="ref" href="lattices.html#D11" title="LATTICES:def.11">LATTICES:def 11</a></span>; <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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