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<div><span class="kw">theorem </span><span class="lab"><font color="Green" title="E9">Th10</font></span>: <a NAME="T7"><span class="comment"><font color="firebrick">:: IDEAL_2:7</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">I</font> being   <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">n</font> being   <a href="ordinal1.html#NM6" title="ORDINAL1:NM.6">Nat</a>  st <font color="Olive" title="b3">n</font> <a href="xxreal_0.html#NR4" title="XXREAL_0:NR.4">&gt;</a>  <a href="numbers.html#K5" title="NUMBERS:func.5">0</a>  holds <br/><font color="Olive" title="b2">I</font> <a href="ideal_2.html#K3" title="IDEAL_2:func.3">||^</a> <span class="p1">(<span class="default"><font color="Olive" title="b3">n</font> <a href="nat_1.html#K1" title="NAT_1:func.1">+</a> 1</span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b2">I</font> <a href="ideal_1.html#K15" title="IDEAL_1:func.15">*'</a> <span class="p1">(<span class="default"><font color="Olive" title="b2">I</font> <a href="ideal_2.html#K3" title="IDEAL_2:func.3">||^</a> <font color="Olive" title="b3">n</font></span>)</span></div></div>
