<?xml version="1.0"?>
<div><span class="kw">theorem </span><span class="lab"><font color="Green" title="E22">Th16</font></span>: <a NAME="T17"><span class="comment"><font color="firebrick">:: PUA2MSS1:17</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">A</font> being   <a href="unialg_1.html#V2" title="UNIALG_1:attr.2">partial</a>   <a href="unialg_1.html#V4" title="UNIALG_1:attr.4">non-empty</a>   <a href="unialg_1.html#L1" title="UNIALG_1:struct.1">UAStr</a> <br/>  for <font color="Olive" title="b2">i</font> being   <a href="ordinal1.html#NM6" title="ORDINAL1:NM.6">Nat</a><br/>  for <font color="Olive" title="b3">R</font> being   <a href="relset_1.html#NM2" title="RELSET_1:NM.2">Relation</a> of  the <a href="struct_0.html#U1" title="STRUCT_0:sel.1">carrier</a> of <font color="Olive" title="b1">A</font> holds  <font color="Olive" title="b3">R</font> <a href="pua2mss1.html#K8" title="PUA2MSS1:func.8">|^</a> (<font color="Olive" title="b1">A</font>,<span class="p1">(<span class="default"><font color="Olive" title="b2">i</font> <a href="nat_1.html#K1" title="NAT_1:func.1">+</a> 1</span>)</span>) <a href="relset_1.html#R2" title="RELSET_1:pred.2">=</a> <span class="p1">(<span class="default"><font color="Olive" title="b3">R</font> <a href="pua2mss1.html#K8" title="PUA2MSS1:func.8">|^</a> (<font color="Olive" title="b1">A</font>,<font color="Olive" title="b2">i</font>)</span>)</span> <a href="pua2mss1.html#K7" title="PUA2MSS1:func.7">|^</a> <font color="Olive" title="b1">A</font></div></div>
