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<div>:: <span class="kw">deftheorem </span>   defines <a href="alggeo_1.html#V2" title="ALGGEO_1:attr.2">reducible</a> <a onclick="hs(this)" href="javascript:()">ALGGEO_1:def 10 : <br/></a><span> for <font color="Olive" title="b1">R</font> being   <a href="vectsp_2.html#NM2" title="VECTSP_2:NM.2">domRing</a><br/>  for <font color="Olive" title="b2">n</font> being   non  <a href="xboole_0.html#V1" title="XBOOLE_0:attr.1">empty</a>  <a href="ordinal1.html#NM3" title="ORDINAL1:NM.3">Ordinal</a><br/>  for <font color="Olive" title="b3">IT</font> being   <a href="alggeo_1.html#NM1" title="ALGGEO_1:NM.1">Algebraic_Set</a> of <font color="Olive" title="b2">n</font>,<font color="Olive" title="b1">R</font> holds <br/> ( <font color="Olive" title="b3">IT</font> is  <a href="alggeo_1.html#V2" title="ALGGEO_1:attr.2">reducible</a>  iff  ex <font color="Olive" title="b4">V1</font>, <font color="Olive" title="b5">V2</font> being   <a href="alggeo_1.html#NM1" title="ALGGEO_1:NM.1">Algebraic_Set</a> of <font color="Olive" title="b2">n</font>,<font color="Olive" title="b1">R</font> st <br/>( <font color="Olive" title="b3">IT</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b4">V1</font> <a href="subset_1.html#K4" title="SUBSET_1:func.4">\/</a> <font color="Olive" title="b5">V2</font> &amp; <font color="Olive" title="b4">V1</font> <a href="xboole_0.html#R2" title="XBOOLE_0:pred.2">c&lt;</a> <font color="Olive" title="b3">IT</font> &amp; <font color="Olive" title="b5">V2</font> <a href="xboole_0.html#R2" title="XBOOLE_0:pred.2">c&lt;</a> <font color="Olive" title="b3">IT</font> ) );<br/></span></div>
