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<div><span class="kw">theorem </span><span class="lab"><font color="Green" title="E16">Th19</font></span>: <a NAME="T19"><span class="comment"><font color="firebrick">:: QUANTAL1:19</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">D</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="b2">D</font> is  <a href="quantal1.html#V17" title="QUANTAL1:attr.17">dualizing</a>  holds <br/>( <font color="Olive" title="b1">Q</font> is  <a href="group_1.html#V1" title="GROUP_1:attr.1">unital</a>  &amp;  <a href="binop_1.html#K3" title="BINOP_1:func.3">the_unity_wrt</a>  the <a href="algstr_0.html#U2" title="ALGSTR_0:sel.2">multF</a> of <font color="Olive" title="b1">Q</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b2">D</font> <a href="quantal1.html#K1" title="QUANTAL1:func.1">-r&gt;</a> <font color="Olive" title="b2">D</font> &amp;  <a href="binop_1.html#K3" title="BINOP_1:func.3">the_unity_wrt</a>  the <a href="algstr_0.html#U2" title="ALGSTR_0:sel.2">multF</a> of <font color="Olive" title="b1">Q</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b2">D</font> <a href="quantal1.html#K2" title="QUANTAL1:func.2">-l&gt;</a> <font color="Olive" title="b2">D</font> )</div></div>
