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<div><span class="kw">theorem </span><a NAME="T37"><span class="comment"><font color="firebrick">:: IDEAL_2:37</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">A</font> being   non  <a href="struct_0.html#V6" title="STRUCT_0:attr.6">degenerated</a>   <a href="group_1.html#V5" title="GROUP_1:attr.5">commutative</a>  <a href="vectsp_1.html#NM3" title="VECTSP_1:NM.3">Ring</a><br/>  for <font color="Olive" title="b2">p</font> being   <a href="ring_1.html#V2" title="RING_1:attr.2">prime</a>  <a href="ideal_1.html#NM1" title="IDEAL_1:NM.1">Ideal</a> of <font color="Olive" title="b1">A</font><br/>  for <font color="Olive" title="b3">F</font> being   non  <a href="xboole_0.html#V1" title="XBOOLE_0:attr.1">empty</a>   <a href="finseq_1.html#M2" title="FINSEQ_1:mode.2">FinSequence</a> of  <a href="ideal_2.html#K6" title="IDEAL_2:func.6">PRIMARY</a> (<font color="Olive" title="b1">A</font>,<font color="Olive" title="b2">p</font>) holds   <a href="setfam_1.html#K1" title="SETFAM_1:func.1">meet</a> <span class="p1">(<span class="default"><a href="relset_1.html#K2" title="RELSET_1:func.2">rng</a> <font color="Olive" title="b3">F</font></span>)</span> <a href="tarski.html#R2" title="TARSKI:pred.2">in</a>  <a href="ideal_2.html#K6" title="IDEAL_2:func.6">PRIMARY</a> (<font color="Olive" title="b1">A</font>,<font color="Olive" title="b2">p</font>)</div></div>
