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<div>:: <span class="kw">deftheorem </span>   defines <a href="algstr_0.html#V2" title="ALGSTR_0:attr.2">left_add-cancelable</a> <a onclick="hs(this)" href="javascript:()">ALGSTR_0:def 3 : <br/></a><span> for <font color="Olive" title="b1">M</font> being    <a href="algstr_0.html#L1" title="ALGSTR_0:struct.1">addMagma</a> <br/>  for <font color="Olive" title="b2">x</font> being   <a href="struct_0.html#NM1" title="STRUCT_0:NM.1">Element</a> of <font color="Olive" title="b1">M</font> holds <br/> ( <font color="Olive" title="b2">x</font> is  <a href="algstr_0.html#V2" title="ALGSTR_0:attr.2">left_add-cancelable</a>  iff  for <font color="Olive" title="b3">y</font>, <font color="Olive" title="b4">z</font> being   <a href="struct_0.html#NM1" title="STRUCT_0:NM.1">Element</a> of <font color="Olive" title="b1">M</font>  st <font color="Olive" title="b2">x</font> <a href="algstr_0.html#K1" title="ALGSTR_0:func.1">+</a> <font color="Olive" title="b3">y</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b2">x</font> <a href="algstr_0.html#K1" title="ALGSTR_0:func.1">+</a> <font color="Olive" title="b4">z</font> holds <br/><font color="Olive" title="b3">y</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b4">z</font> );<br/></span></div>
