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<div><span class="kw">theorem </span><span class="lab"><font color="Green" title="E26">Th24</font></span>: <a NAME="T24"><span class="comment"><font color="firebrick">:: ALGGEO_1:24</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">m</font> being   non  <a href="ordinal1.html#V8" title="ORDINAL1:attr.8">zero</a>  <a href="ordinal1.html#NM6" title="ORDINAL1:NM.6">Nat</a><br/>  for <font color="Olive" title="b4">F</font> being   <a href="subset_1.html#NM2" title="SUBSET_1:NM.2">Subset</a> of <span class="p1">(<span class="default"><a href="alggeo_1.html#K8" title="ALGGEO_1:func.8">Alg_Sets</a> (<font color="Olive" title="b2">n</font>,<font color="Olive" title="b1">R</font>)</span>)</span>  st  <a href="card_1.html#K1" title="CARD_1:func.1">card</a> <font color="Olive" title="b4">F</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b3">m</font> holds <br/> <a href="tarski.html#K3" title="TARSKI:func.3">union</a> <font color="Olive" title="b4">F</font> is   <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></div></div>
