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<div><span class="kw">theorem </span><a NAME="T23"><span class="comment"><font color="firebrick">:: GCD_1:23</font></span><br/></a><div class="add"> 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" title="b2">Amp</font> being    <a href="gcd_1.html#M2" title="GCD_1:mode.2">AmpleSet</a> of <font color="Olive" title="b1">R</font><br/>  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" title="b2">Amp</font>  st <font color="Olive" title="b3">x</font> <a href="gcd_1.html#R4" title="GCD_1:pred.4">is_associated_to</a> <font color="Olive" title="b4">y</font> holds <br/><font color="Olive" title="b3">x</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b4">y</font> <span class="kw">by</span> <span class="lab"><a class="ref" href="gcd_1.html#T22" target="_self" onmouseover="rs('gcd_1/T22')" onmouseout="rh()">Th22</a></span>;<br/></div></div>
