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<div><span class="kw">theorem </span><a NAME="T25"><span class="comment"><font color="firebrick">:: RING_5:25</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">X</font> being   non  <a href="xboole_0.html#V1" title="XBOOLE_0:attr.1">empty</a>   <a href="hidden.html#M2" title="HIDDEN:mode.2">set</a> <br/>  for <font color="Olive" title="b2">b</font> being   <a href="pre_poly.html#NM2" title="PRE_POLY:NM.2">bag</a> of <font color="Olive" title="b1">X</font> holds <br/> ( <font color="Olive" title="b2">b</font> is  <a href="termord.html#V1" title="TERMORD:attr.1">zero</a>  iff  <a href="rvsum_1.html#K1" title="RVSUM_1:func.1">rng</a> <font color="Olive" title="b2">b</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1"><a href="domain_1.html#K6" title="DOMAIN_1:func.6">{</a><span class="default"><a href="numbers.html#K5" title="NUMBERS:func.5">0</a></span><a href="domain_1.html#K6" title="DOMAIN_1:func.6">}</a></span> ) <span class="kw">by</span> <span class="lab"><a class="txt" href="ring_5.html#E29"><span class="lab"><font color="Green" title="E23">bbbag</font></span></a></span>;<br/></div></div>
