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<div>:: <span class="kw">deftheorem </span>   defines <a href="c0sp1.html#V2" title="C0SP1:attr.2">additively-closed</a> <a onclick="hs(this)" href="javascript:()">C0SP1:def 2 : <br/></a><span> for <font color="Olive" title="b1">V</font> being   non  <a href="struct_0.html#V2" title="STRUCT_0:attr.2">empty</a>   <a href="algstr_0.html#L2" title="ALGSTR_0:struct.2">addLoopStr</a> <br/>  for <font color="Olive" title="b2">V1</font> being   <a href="struct_0.html#NM2" title="STRUCT_0:NM.2">Subset</a> of <font color="Olive" title="b1">V</font> holds <br/> ( <font color="Olive" title="b2">V1</font> is  <a href="c0sp1.html#V2" title="C0SP1:attr.2">additively-closed</a>  iff ( <font color="Olive" title="b2">V1</font> is  <a href="ideal_1.html#V1" title="IDEAL_1:attr.1">add-closed</a>  &amp; <font color="Olive" title="b2">V1</font> is  <a href="c0sp1.html#V1" title="C0SP1:attr.1">having-inverse</a>  ) );<br/></span></div>
