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<div><span class="kw">theorem </span><span class="lab"><font color="Green" title="E5">Th5</font></span>: <a NAME="T5"><span class="comment"><font color="firebrick">:: QUANTAL1:5</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">Q</font> being   non  <a href="struct_0.html#V2" title="STRUCT_0:attr.2">empty</a>   <a href="lattices.html#V10" title="LATTICES:attr.10">Lattice-like</a>   <a href="lattice3.html#V4" title="LATTICE3:attr.4">complete</a>   <a href="quantal1.html#V7" title="QUANTAL1:attr.7">right-distributive</a>   <a href="quantal1.html#V8" title="QUANTAL1:attr.8">left-distributive</a>   <a href="quantal1.html#L1" title="QUANTAL1:struct.1">QuantaleStr</a> <br/>  for <font color="Olive" title="b2">X</font>, <font color="Olive" title="b3">Y</font> being    <a href="hidden.html#M2" title="HIDDEN:mode.2">set</a>  holds  <span class="p1">(<span class="default"><a href="lattice3.html#K15" title="LATTICE3:func.15">"\/"</a> (<font color="Olive" title="b2">X</font>,<font color="Olive" title="b1">Q</font>)</span>)</span> <a href="monoid_0.html#NK3" title="MONOID_0:NK.3">[*]</a> <span class="p1">(<span class="default"><a href="lattice3.html#K15" title="LATTICE3:func.15">"\/"</a> (<font color="Olive" title="b3">Y</font>,<font color="Olive" title="b1">Q</font>)</span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="lattice3.html#K15" title="LATTICE3:func.15">"\/"</a> (<span class="p1"> { <span class="default"> <span class="p2">(<span class="default"><font color="Olive" title="b4">a</font> <a href="monoid_0.html#NK3" title="MONOID_0:NK.3">[*]</a> <font color="Olive" title="b5">b</font></span>)</span> where <font color="Olive" title="b4">a</font>, <font color="Olive" title="b5">b</font> is   <a href="struct_0.html#NM1" title="STRUCT_0:NM.1">Element</a> of <font color="Olive" title="b1">Q</font> : ( <font color="Olive" title="b4">a</font> <a href="tarski.html#R2" title="TARSKI:pred.2">in</a> <font color="Olive" title="b2">X</font> &amp; <font color="Olive" title="b5">b</font> <a href="tarski.html#R2" title="TARSKI:pred.2">in</a> <font color="Olive" title="b3">Y</font> ) </span> } </span> ,<font color="Olive" title="b1">Q</font>)</div></div>
