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<div>:: <span class="kw">deftheorem </span><span class="lab"><font color="Green" title="E22">Def7</font></span>   defines <a href="gcd_1.html#M1" title="GCD_1:mode.1">Am</a> <a onclick="hs(this)" href="javascript:()">GCD_1:def 7 : <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#M1" title="GCD_1:mode.1">Am</a> of <font color="Olive" title="b1">R</font> iff ( (  for <font color="Olive" title="b3">a</font> being   <a href="struct_0.html#NM1" title="STRUCT_0:NM.1">Element</a> of <font color="Olive" title="b1">R</font>  ex <font color="Olive" title="b4">z</font> being    <a href="subset_1.html#M2" title="SUBSET_1:mode.2">Element</a> of <font color="Olive">b<sub>2</sub></font> st <font color="Olive" title="b4">z</font> <a href="gcd_1.html#R4" title="GCD_1:pred.4">is_associated_to</a> <font color="Olive" title="b3">a</font> ) &amp; (  for <font color="Olive" title="b3">x</font>, <font color="Olive" title="b4">y</font> being    <a href="subset_1.html#M2" title="SUBSET_1:mode.2">Element</a> of <font color="Olive">b<sub>2</sub></font>  st <font color="Olive" title="b3">x</font> <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a> <font color="Olive" title="b4">y</font> holds <br/><font color="Olive" title="b3">x</font> <a href="gcd_1.html#NR4" title="GCD_1:NR.4">is_not_associated_to</a> <font color="Olive" title="b4">y</font> ) ) );<br/></span></div>
