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<div>:: <span class="kw">deftheorem </span>   defines <a href="lopban_4.html#R1" title="LOPBAN_4:pred.1">are_commutative</a> <a onclick="hs(this)" href="javascript:()">LOPBAN_4:def 1 : <br/></a><span> for <font color="Olive" title="b1">X</font> being   non  <a href="struct_0.html#V2" title="STRUCT_0:attr.2">empty</a>   <a href="algstr_0.html#L3" title="ALGSTR_0:struct.3">multMagma</a> <br/>  for <font color="Olive" title="b2">x</font>, <font color="Olive" title="b3">y</font> being   <a href="struct_0.html#NM1" title="STRUCT_0:NM.1">Element</a> of <font color="Olive" title="b1">X</font> holds <br/> ( <font color="Olive" title="b2">x</font>,<font color="Olive" title="b3">y</font> <a href="lopban_4.html#R1" title="LOPBAN_4:pred.1">are_commutative</a>  iff <font color="Olive" title="b2">x</font> <a href="algstr_0.html#K6" title="ALGSTR_0:func.6">*</a> <font color="Olive" title="b3">y</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b3">y</font> <a href="algstr_0.html#K6" title="ALGSTR_0:func.6">*</a> <font color="Olive" title="b2">x</font> );<br/></span></div>
