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<div>:: <span class="kw">deftheorem </span>   defines <a href="proofs_1.html#V13" title="PROOFS_1:attr.13">-omitting</a> <a onclick="hs(this)" href="javascript:()">PROOFS_1:def 23 : <br/></a><span> 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">B</font>, <font color="Olive" title="b3">B1</font> being   <a href="struct_0.html#NM2" title="STRUCT_0:NM.2">Subset</a> of <font color="Olive" title="b1">P</font> holds <br/> ( <font color="Olive" title="b3">B1</font> is <font color="Olive" title="b2">B</font> <a href="proofs_1.html#V13" title="PROOFS_1:attr.13">-omitting</a>  iff  ex <font color="Olive" title="b4">a</font> being    <a href="hidden.html#M1" title="HIDDEN:mode.1">object</a>  st <br/>( <font color="Olive" title="b4">a</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a> <font color="Olive" title="b2">B</font> &amp;  not <font color="Olive" title="b1">P</font> <a href="proofs_1.html#K9" title="PROOFS_1:func.9">\/</a> <font color="Olive" title="b3">B1</font> <a href="proofs_1.html#R3" title="PROOFS_1:pred.3">|-</a> <font color="Olive" title="b4">a</font> ) );<br/></span></div>
