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<div><span class="kw">theorem </span><span class="lab"><font color="Green" title="E20">Th18</font></span>: <a NAME="T18"><span class="comment"><font color="firebrick">:: IDEA_1:18</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">n</font>, <font color="Olive" title="b2">a1</font>, <font color="Olive" title="b3">a2</font> being   <a href="ordinal1.html#NM6" title="ORDINAL1:NM.6">Nat</a>  st <font color="Olive" title="b2">a1</font> <a href="idea_1.html#R1" title="IDEA_1:pred.1">is_expressible_by</a> <font color="Olive" title="b1">n</font> &amp; <font color="Olive" title="b3">a2</font> <a href="idea_1.html#R1" title="IDEA_1:pred.1">is_expressible_by</a> <font color="Olive" title="b1">n</font> &amp;  <a href="idea_1.html#K7" title="IDEA_1:func.7">ChangeVal_1</a> (<font color="Olive" title="b2">a1</font>,<font color="Olive" title="b1">n</font>) <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="idea_1.html#K7" title="IDEA_1:func.7">ChangeVal_1</a> (<font color="Olive" title="b3">a2</font>,<font color="Olive" title="b1">n</font>) holds <br/><font color="Olive" title="b2">a1</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b3">a2</font></div></div>
