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<div><span class="kw">theorem </span><a NAME="T35"><span class="comment"><font color="firebrick">:: ALGGEO_1:35</font></span><br/></a><div class="add"> 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">X</font> being   <a href="subset_1.html#NM2" title="SUBSET_1:NM.2">Subset</a> of <span class="p1">(<span class="default"><a href="funct_2.html#K9" title="FUNCT_2:func.9">Funcs</a> (<font color="Olive" title="b2">n</font>,<span class="p2">(<span class="default"><a href="struct_0.html#K2" title="STRUCT_0:func.2">[#]</a> <font color="Olive" title="b1">R</font></span>)</span>)</span>)</span> holds   <a href="alggeo_1.html#K10" title="ALGGEO_1:func.10">Ideal_</a> <span class="p1">(<span class="default"><a href="alggeo_1.html#K6" title="ALGGEO_1:func.6">Zero_</a> <span class="p2">(<span class="default"><a href="alggeo_1.html#K10" title="ALGGEO_1:func.10">Ideal_</a> <font color="Olive" title="b3">X</font></span>)</span></span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="alggeo_1.html#K10" title="ALGGEO_1:func.10">Ideal_</a> <font color="Olive" title="b3">X</font> <span class="kw">by</span> <span class="lab"><a class="ref" href="alggeo_1.html#T32" target="_self" onmouseover="rs('alggeo_1/T32')" onmouseout="rh()">Th32</a>, <a class="ref" href="alggeo_1.html#T29" target="_self" onmouseover="rs('alggeo_1/T29')" onmouseout="rh()">Th29</a>, <a class="ref" href="alggeo_1.html#T33" target="_self" onmouseover="rs('alggeo_1/T33')" onmouseout="rh()">Th33</a></span>;<br/></div></div>
