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<div><span class="kw">theorem </span><span class="lab"><font color="Green" title="E62">Lm63</font></span>: <a NAME="T44"><span class="comment"><font color="firebrick">:: RINGFRAC:44</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">A</font> being   <a href="vectsp_2.html#NM2" title="VECTSP_2:NM.2">domRing</a> holds <br/> (  <a href="ringfrac.html#K2" title="RINGFRAC:func.2">Non_ZeroDiv_Set</a> <font color="Olive" title="b1">A</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default"><a href="struct_0.html#K2" title="STRUCT_0:func.2">[#]</a> <font color="Olive" title="b1">A</font></span>)</span> <a href="subset_1.html#K7" title="SUBSET_1:func.7">\</a> <span class="p1"><a href="domain_1.html#K6" title="DOMAIN_1:func.6">{</a><span class="default"><span class="p2">(<span class="default"><a href="struct_0.html#K4" title="STRUCT_0:func.4">0.</a> <font color="Olive" title="b1">A</font></span>)</span></span><a href="domain_1.html#K6" title="DOMAIN_1:func.6">}</a></span> &amp;  <a href="ringfrac.html#K2" title="RINGFRAC:func.2">Non_ZeroDiv_Set</a> <font color="Olive" title="b1">A</font> is   non  <a href="xboole_0.html#V1" title="XBOOLE_0:attr.1">empty</a>   <a href="c0sp1.html#V3" title="C0SP1:attr.3">multiplicatively-closed</a>   <a href="ringfrac.html#V2" title="RINGFRAC:attr.2">without_zero</a>  <a href="struct_0.html#NM2" title="STRUCT_0:NM.2">Subset</a> of <font color="Olive" title="b1">A</font> )</div></div>
