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<div><span class="kw">theorem </span><span class="lab"><font color="Green" title="E71">Th70</font></span>: <a NAME="T70"><span class="comment"><font color="firebrick">:: AOFA_000:70</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>  holds <br/> (  <a href="aofa_000.html#K18" title="AOFA_000:func.18">ElementaryInstructions</a> <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> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="freealg.html#K12" title="FREEALG:func.12">FreeGenSetNSG</a> (<a href="aofa_000.html#K19" title="AOFA_000:func.19">ECIW-signature</a>,<font color="Olive" title="b1">X</font>) &amp;  <a href="card_1.html#K1" title="CARD_1:func.1">card</a> <font color="Olive" title="b1">X</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="card_1.html#K1" title="CARD_1:func.1">card</a> <span class="p1">(<span class="default"><a href="freealg.html#K12" title="FREEALG:func.12">FreeGenSetNSG</a> (<a href="aofa_000.html#K19" title="AOFA_000:func.19">ECIW-signature</a>,<font color="Olive" title="b1">X</font>)</span>)</span> )</div></div>
