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<div><span class="kw">theorem </span><span class="lab"><font color="Green" title="E51">Th51</font></span>: <a NAME="T51"><span class="comment"><font color="firebrick">:: AOFA_000:51</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">A</font> being   <a href="aofa_000.html#NM1" title="AOFA_000:NM.1">preIfWhileAlgebra</a><br/>  for <font color="Olive" title="b2">C</font>, <font color="Olive" title="b3">I1</font>, <font color="Olive" title="b4">I2</font> being   <a href="struct_0.html#NM1" title="STRUCT_0:NM.1">Element</a> of <font color="Olive" title="b1">A</font>  holds  <a href="aofa_000.html#K14" title="AOFA_000:func.14">if-then-else</a> (<font color="Olive" title="b2">C</font>,<font color="Olive" title="b3">I1</font>,<font color="Olive" title="b4">I2</font>) <a href="aofa_000.html#NR1" title="AOFA_000:NR.1">nin</a>  <a href="aofa_000.html#K18" title="AOFA_000:func.18">ElementaryInstructions</a> <font color="Olive" title="b1">A</font></div></div>
