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<div><span class="kw">theorem </span><span class="lab"><font color="Green" title="E28">Th27</font></span>: <a NAME="T27"><span class="comment"><font color="firebrick">:: GCD_1:27</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">R</font> being   <a href="group_1.html#V5" title="GROUP_1:attr.5">commutative</a>   <a href="vectsp_2.html#V1" title="VECTSP_2:attr.1">domRing-like</a>  <a href="vectsp_1.html#NM3" title="VECTSP_1:NM.3">Ring</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>  st <font color="Olive" title="b2">Amp</font> is  <a href="gcd_1.html#V2" title="GCD_1:attr.2">multiplicative</a>  holds <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="b4">y</font> <a href="gcd_1.html#R2" title="GCD_1:pred.2">divides</a> <font color="Olive" title="b3">x</font> &amp; <font color="Olive" title="b4">y</font> <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a>  <a href="struct_0.html#K4" title="STRUCT_0:func.4">0.</a> <font color="Olive" title="b1">R</font> holds <br/><font color="Olive" title="b3">x</font> <a href="gcd_1.html#K1" title="GCD_1:func.1">/</a> <font color="Olive" title="b4">y</font> <a href="tarski.html#R2" title="TARSKI:pred.2">in</a> <font color="Olive" title="b2">Amp</font></div></div>
