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<span class="kw">let </span><font color="Maroon" title="c1">a</font>, <font color="Maroon" title="c2">b</font>, <font color="Maroon" title="c3">c</font> be   <a href="ordinal1.html#V3" title="ORDINAL1:attr.3">ordinal</a>   <a href="ordinal1.html#NM1" title="ORDINAL1:NM.1">number</a> ; <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide"> ( <font color="Maroon" title="c1">a</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a> <font color="Maroon" title="c2">b</font> iff <font color="Maroon" title="c3">c</font> <a href="ordinal6.html#K12" title="ORDINAL6:func.12">-Veblen</a> <font color="Maroon" title="c1">a</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a> <font color="Maroon" title="c3">c</font> <a href="ordinal6.html#K12" title="ORDINAL6:func.12">-Veblen</a> <font color="Maroon" title="c2">b</font> )</span><br/>





<a NAME="E1:129"/>
( <font color="Maroon" title="c2">b</font> <a href="ordinal1.html#R1" title="ORDINAL1:pred.1">c=</a> <font color="Maroon" title="c1">a</font> iff <font color="Maroon" title="c3">c</font> <a href="ordinal6.html#K12" title="ORDINAL6:func.12">-Veblen</a> <font color="Maroon" title="c2">b</font> <a href="ordinal1.html#R1" title="ORDINAL1:pred.1">c=</a> <font color="Maroon" title="c3">c</font> <a href="ordinal6.html#K12" title="ORDINAL6:func.12">-Veblen</a> <font color="Maroon" title="c1">a</font> )
 
<span class="kw">by</span> <span class="lab"><a class="ref" href="ordinal6.html#T71" target="_self" title="ORDINAL6:th.71">Th15</a></span>;<br/>
<span class="kw">hence </span><a NAME="E2:129"/>
( <font color="Maroon" title="c1">a</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a> <font color="Maroon" title="c2">b</font> iff <font color="Maroon" title="c3">c</font> <a href="ordinal6.html#K12" title="ORDINAL6:func.12">-Veblen</a> <font color="Maroon" title="c1">a</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a> <font color="Maroon" title="c3">c</font> <a href="ordinal6.html#K12" title="ORDINAL6:func.12">-Veblen</a> <font color="Maroon" title="c2">b</font> )
 <span class="kw">by</span> <span class="lab"><a class="ref" href="ordinal6.html#T4" target="_self" title="ORDINAL6:th.4">EXCH1</a></span>; <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide"> verum</span><br/>


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