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<div><span class="kw">theorem </span><a NAME="T18"><span class="comment"><font color="firebrick">:: PROOFS_1:18</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">P</font> being   non  <a href="struct_0.html#V2" title="STRUCT_0:attr.2">empty</a>   <a href="proofs_1.html#L1" title="PROOFS_1:struct.1">ProofSystem</a> <br/>  for <font color="Olive" title="b2">a</font> being    <a href="hidden.html#M1" title="HIDDEN:mode.1">object</a>   st <font color="Olive" title="b1">P</font> <a href="proofs_1.html#R3" title="PROOFS_1:pred.3">|-</a> <font color="Olive" title="b2">a</font> holds <br/><font color="Olive" title="b2">a</font> is   <a href="struct_0.html#NM1" title="STRUCT_0:NM.1">Element</a> of <font color="Olive" title="b1">P</font> <span class="kw">by</span> <span class="lab"><a class="ref" href="proofs_1.html#T17" target="_self" onmouseover="rs('proofs_1/T17')" onmouseout="rh()">Th57</a></span>;<br/></div></div>
