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<div><span class="kw">theorem </span><a NAME="T7"><span class="comment"><font color="firebrick">:: PCS_0:7</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">S1</font>, <font color="Olive" title="b2">S2</font> being   non  <a href="struct_0.html#V2" title="STRUCT_0:attr.2">empty</a>   <a href="pcs_0.html#L1" title="PCS_0:struct.1">TolStr</a> <br/>  for <font color="Olive" title="b3">x</font>, <font color="Olive" title="b4">y</font> being   <a href="struct_0.html#NM1" title="STRUCT_0:NM.1">Element</a> of <span class="p1"><a href="pcs_0.html#K9" title="PCS_0:func.9">[^</a><span class="default"><font color="Olive" title="b1">S1</font>,<font color="Olive" title="b2">S2</font></span><a href="pcs_0.html#K9" title="PCS_0:func.9">^]</a></span> holds <br/> ( <font color="Olive" title="b3">x</font> <a href="pcs_0.html#R1" title="PCS_0:pred.1">(--)</a> <font color="Olive" title="b4">y</font> iff ( <font color="Olive" title="b3">x</font> <a href="pcs_0.html#K11" title="PCS_0:func.11">^`1</a>  <a href="pcs_0.html#R1" title="PCS_0:pred.1">(--)</a> <font color="Olive" title="b4">y</font> <a href="pcs_0.html#K11" title="PCS_0:func.11">^`1</a>  or <font color="Olive" title="b3">x</font> <a href="pcs_0.html#K12" title="PCS_0:func.12">^`2</a>  <a href="pcs_0.html#R1" title="PCS_0:pred.1">(--)</a> <font color="Olive" title="b4">y</font> <a href="pcs_0.html#K12" title="PCS_0:func.12">^`2</a>  ) )</div></div>
