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<div><span class="kw">theorem </span><span class="lab"><font color="Green" title="E28">Th56</font></span>: <a NAME="T19"><span class="comment"><font color="firebrick">:: PROOFS_1:19</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">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>  st <font color="Olive" title="b2">B</font> is  <a href="proofs_1.html#NV14" title="PROOFS_1:NV.14">inconsistent</a>  holds <br/>( <font color="Olive" title="b3">B1</font> is  <a href="proofs_1.html#V11" title="PROOFS_1:attr.11">consistent</a>  iff <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>  )</div></div>
