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<div><span class="kw">theorem </span><span class="lab"><font color="Green" title="E13">Th13</font></span>: <a NAME="T13"><span class="comment"><font color="firebrick">:: QUANTAL1:13</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">Q</font> being   <a href="quantal1.html#NM1" title="QUANTAL1:NM.1">Quantale</a><br/>  for <font color="Olive" title="b2">s</font>, <font color="Olive" title="b3">a</font>, <font color="Olive" title="b4">b</font> being   <a href="struct_0.html#NM1" title="STRUCT_0:NM.1">Element</a> of <font color="Olive" title="b1">Q</font>  st <font color="Olive" title="b3">a</font> <a href="lattices.html#R3" title="LATTICES:pred.3">[=</a> <font color="Olive" title="b4">b</font> holds <br/>( <font color="Olive" title="b4">b</font> <a href="quantal1.html#K1" title="QUANTAL1:func.1">-r&gt;</a> <font color="Olive" title="b2">s</font> <a href="lattices.html#R3" title="LATTICES:pred.3">[=</a> <font color="Olive" title="b3">a</font> <a href="quantal1.html#K1" title="QUANTAL1:func.1">-r&gt;</a> <font color="Olive" title="b2">s</font> &amp; <font color="Olive" title="b4">b</font> <a href="quantal1.html#K2" title="QUANTAL1:func.2">-l&gt;</a> <font color="Olive" title="b2">s</font> <a href="lattices.html#R3" title="LATTICES:pred.3">[=</a> <font color="Olive" title="b3">a</font> <a href="quantal1.html#K2" title="QUANTAL1:func.2">-l&gt;</a> <font color="Olive" title="b2">s</font> )</div></div>
