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<div>:: <span class="kw">deftheorem </span><span class="lab"><font color="Green" title="E23">Def8</font></span>   defines <a href="gcd_1.html#M2" title="GCD_1:mode.2">AmpleSet</a> <a onclick="hs(this)" href="javascript:()">GCD_1:def 8 : <br/></a><span> for <font color="Olive" title="b1">R</font> being   non  <a href="struct_0.html#V2" title="STRUCT_0:attr.2">empty</a>   <a href="vectsp_1.html#V4" title="VECTSP_1:attr.4">well-unital</a>   <a href="group_1.html#V3" title="GROUP_1:attr.3">associative</a>   <a href="algstr_0.html#L4" title="ALGSTR_0:struct.4">multLoopStr</a> <br/>  for <font color="Olive">b<sub>2</sub></font> being   non  <a href="xboole_0.html#V1" title="XBOOLE_0:attr.1">empty</a>  <a href="struct_0.html#NM2" title="STRUCT_0:NM.2">Subset</a> of <font color="Olive" title="b1">R</font> holds <br/> ( <font color="Olive">b<sub>2</sub></font> is    <a href="gcd_1.html#M2" title="GCD_1:mode.2">AmpleSet</a> of <font color="Olive" title="b1">R</font> iff ( <font color="Olive">b<sub>2</sub></font> is    <a href="gcd_1.html#M1" title="GCD_1:mode.1">Am</a> of <font color="Olive" title="b1">R</font> &amp;  <a href="struct_0.html#K5" title="STRUCT_0:func.5">1.</a> <font color="Olive" title="b1">R</font> <a href="tarski.html#R2" title="TARSKI:pred.2">in</a> <font color="Olive">b<sub>2</sub></font> ) );<br/></span></div>
