<?xml version="1.0"?>
<div><div><a NAME="S2"><span class="kw">scheme  </span><span class="comment"><font color="firebrick">:: ORDINAL1:sch 2</font></span><br/></a><span class="lab"><font color="Green" title="E2">TransfiniteInd</font></span>{ <font color="Maroon">P<sub>1</sub></font>[  <a href="ordinal1.html#NM3" title="ORDINAL1:NM.3">Ordinal</a>] } :<br/><div class="add"><a NAME="E2:38"/>
 for <font color="Olive" title="b1">A</font> being   <a href="ordinal1.html#NM3" title="ORDINAL1:NM.3">Ordinal</a> holds  <font color="Maroon">P<sub>1</sub></font>[<font color="Olive" title="b1">A</font>]
 </div><span class="kw">provided</span><div class="add"><a NAME="E1:38"/><span class="lab"><font color="Green" title="E19">A1</font></span>: 
 for <font color="Olive" title="b1">A</font> being   <a href="ordinal1.html#NM3" title="ORDINAL1:NM.3">Ordinal</a>  st (  for <font color="Olive" title="b2">C</font> being   <a href="ordinal1.html#NM3" title="ORDINAL1:NM.3">Ordinal</a>  st <font color="Olive" title="b2">C</font> <a href="tarski.html#R2" title="TARSKI:pred.2">in</a> <font color="Olive" title="b1">A</font> holds <br/><font color="Maroon">P<sub>1</sub></font>[<font color="Olive" title="b2">C</font>] ) holds <br/><font color="Maroon">P<sub>1</sub></font>[<font color="Olive" title="b1">A</font>]
 </div></div></div>
