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<div>:: <span class="kw">deftheorem </span>   defines <a href="nomin_5.html#K8" title="NOMIN_5:func.8">multiplication</a> <a onclick="hs(this)" href="javascript:()">NOMIN_5:def 8 : <br/></a><span> for <font color="Olive" title="b1">V</font>, <font color="Olive" title="b2">A</font> being    <a href="hidden.html#M2" title="HIDDEN:mode.2">set</a> <br/>  for <font color="Olive" title="b3">x</font>, <font color="Olive" title="b4">y</font> being    <a href="subset_1.html#M1" title="SUBSET_1:mode.1">Element</a> of <font color="Olive" title="b1">V</font> holds   <a href="nomin_5.html#K8" title="NOMIN_5:func.8">multiplication</a> (<font color="Olive" title="b2">A</font>,<font color="Olive" title="b3">x</font>,<font color="Olive" title="b4">y</font>) <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="nomin_4.html#K3" title="NOMIN_4:func.3">lift_binary_op</a> (<span class="p1">(<span class="default"><a href="nomin_5.html#K6" title="NOMIN_5:func.6">multiplication</a> <font color="Olive" title="b2">A</font></span>)</span>,<font color="Olive" title="b3">x</font>,<font color="Olive" title="b4">y</font>);<br/></span></div>
