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<div><span class="kw">theorem </span><span class="lab"><font color="Green" title="E66">Th63</font></span>: <a NAME="T63"><span class="comment"><font color="firebrick">:: AOFA_000:63</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">X</font> being   non  <a href="xboole_0.html#V1" title="XBOOLE_0:attr.1">empty</a>   <a href="freealg.html#V1" title="FREEALG:attr.1">disjoint_with_NAT</a>   <a href="hidden.html#M2" title="HIDDEN:mode.2">set</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 <span class="p1">(<span class="default"><a href="freealg.html#K7" title="FREEALG:func.7">FreeUnivAlgNSG</a> (<a href="aofa_000.html#K19" title="AOFA_000:func.19">ECIW-signature</a>,<font color="Olive" title="b1">X</font>)</span>)</span> 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="hidden.html#R1" title="HIDDEN:pred.1">=</a> 3 <a href="trees_4.html#K4" title="TREES_4:func.4">-tree</a> <span class="p1"><a href="finseq_4.html#K3" title="FINSEQ_4:func.3">&lt;*</a><span class="default"><font color="Olive" title="b2">C</font>,<font color="Olive" title="b3">I1</font>,<font color="Olive" title="b4">I2</font></span><a href="finseq_4.html#K3" title="FINSEQ_4:func.3">*&gt;</a></span></div></div>
