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<div>:: <span class="kw">deftheorem </span><span class="lab"><font color="Green" title="E18">Def7</font></span>   defines <a href="alggeo_1.html#V1" title="ALGGEO_1:attr.1">algebraic_set_from_ideal</a> <a onclick="hs(this)" href="javascript:()">ALGGEO_1:def 6 : <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="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 <br/> ( <font color="Olive" title="b3">IT</font> is  <a href="alggeo_1.html#V1" title="ALGGEO_1:attr.1">algebraic_set_from_ideal</a>  iff  ex <font color="Olive" title="b4">I</font> being   <a href="ideal_1.html#NM1" title="IDEAL_1:NM.1">Ideal</a> of <span class="p1">(<span class="default"><a href="polynom1.html#K12" title="POLYNOM1:func.12">Polynom-Ring</a> (<font color="Olive" title="b2">n</font>,<font color="Olive" title="b1">R</font>)</span>)</span> st <font color="Olive" title="b3">IT</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="alggeo_1.html#K6" title="ALGGEO_1:func.6">Zero_</a> <font color="Olive" title="b4">I</font> );<br/></span></div>
