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<span class="kw">let </span><font color="Maroon" title="c1">e</font> be   <a href="ordinal5.html#V4" title="ORDINAL5:attr.4">epsilon</a>  <a href="ordinal1.html#NM3" title="ORDINAL1:NM.3">Ordinal</a>; <a class="txt" onmouseover="tooltip.show('hs',this)" onmouseout="tooltip.hide()" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide">  <a href="ordinal2.html#K12" title="ORDINAL2:func.12">exp</a> (<a href="ordinal1.html#K4" title="ORDINAL1:func.4">omega</a>,<span class="p1">(<span class="default"><a href="ordinal2.html#K12" title="ORDINAL2:func.12">exp</a> (<font color="Maroon" title="c1">e</font>,<a href="ordinal1.html#K4" title="ORDINAL1:func.4">omega</a>)</span>)</span>) <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="ordinal2.html#K12" title="ORDINAL2:func.12">exp</a> (<font color="Maroon" title="c1">e</font>,<span class="p1">(<span class="default"><a href="ordinal2.html#K12" title="ORDINAL2:func.12">exp</a> (<font color="Maroon" title="c1">e</font>,<a href="ordinal1.html#K4" title="ORDINAL1:func.4">omega</a>)</span>)</span>)</span><br/>

<span class="kw">thus </span> <a href="ordinal2.html#K12" title="ORDINAL2:func.12">exp</a> (<a href="ordinal1.html#K4" title="ORDINAL1:func.4">omega</a>,<span class="p1">(<span class="default"><a href="ordinal2.html#K12" title="ORDINAL2:func.12">exp</a> (<font color="Maroon" title="c1">e</font>,<a href="ordinal1.html#K4" title="ORDINAL1:func.4">omega</a>)</span>)</span>) = 
 <a href="ordinal2.html#K12" title="ORDINAL2:func.12">exp</a> (<a href="ordinal1.html#K4" title="ORDINAL1:func.4">omega</a>,<span class="p1">(<span class="default"><a href="ordinal2.html#K12" title="ORDINAL2:func.12">exp</a> (<font color="Maroon" title="c1">e</font>,<span class="p2">(<span class="default">1 <a href="ordinal2.html#K10" title="ORDINAL2:func.10">+^</a> <a href="ordinal1.html#K4" title="ORDINAL1:func.4">omega</a></span>)</span>)</span>)</span>)
<span class="kw">by</span> <span class="lab"><a class="ref" href="card_2.html#T74" onmouseover="rs('card_2/T74')" onmouseout="rh()">CARD_2:74</a></span>
<br/>.= 
 <a href="ordinal2.html#K12" title="ORDINAL2:func.12">exp</a> (<a href="ordinal1.html#K4" title="ORDINAL1:func.4">omega</a>,<span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="ordinal2.html#K12" title="ORDINAL2:func.12">exp</a> (<font color="Maroon" title="c1">e</font>,<a href="ordinal1.html#K4" title="ORDINAL1:func.4">omega</a>)</span>)</span> <a href="ordinal2.html#K11" title="ORDINAL2:func.11">*^</a> <span class="p2">(<span class="default"><a href="ordinal2.html#K12" title="ORDINAL2:func.12">exp</a> (<font color="Maroon" title="c1">e</font>,1)</span>)</span></span>)</span>)
<span class="kw">by</span> <span class="lab"><a class="ref" href="ordinal4.html#T30" onmouseover="rs('ordinal4/T30')" onmouseout="rh()">ORDINAL4:30</a></span>
<br/>.= 
 <a href="ordinal2.html#K12" title="ORDINAL2:func.12">exp</a> (<a href="ordinal1.html#K4" title="ORDINAL1:func.4">omega</a>,<span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="ordinal2.html#K12" title="ORDINAL2:func.12">exp</a> (<font color="Maroon" title="c1">e</font>,<a href="ordinal1.html#K4" title="ORDINAL1:func.4">omega</a>)</span>)</span> <a href="ordinal2.html#K11" title="ORDINAL2:func.11">*^</a> <font color="Maroon" title="c1">e</font></span>)</span>)
<span class="kw">by</span> <span class="lab"><a class="ref" href="ordinal2.html#T46" onmouseover="rs('ordinal2/T46')" onmouseout="rh()">ORDINAL2:46</a></span>
<br/>.= 
 <a href="ordinal2.html#K12" title="ORDINAL2:func.12">exp</a> (<span class="p1">(<span class="default"><a href="ordinal2.html#K12" title="ORDINAL2:func.12">exp</a> (<a href="ordinal1.html#K4" title="ORDINAL1:func.4">omega</a>,<font color="Maroon" title="c1">e</font>)</span>)</span>,<span class="p1">(<span class="default"><a href="ordinal2.html#K12" title="ORDINAL2:func.12">exp</a> (<font color="Maroon" title="c1">e</font>,<a href="ordinal1.html#K4" title="ORDINAL1:func.4">omega</a>)</span>)</span>)
<span class="kw">by</span> <span class="lab"><a class="ref" href="ordinal4.html#T31" onmouseover="rs('ordinal4/T31')" onmouseout="rh()">ORDINAL4:31</a></span>
<br/>.= 
 <a href="ordinal2.html#K12" title="ORDINAL2:func.12">exp</a> (<font color="Maroon" title="c1">e</font>,<span class="p1">(<span class="default"><a href="ordinal2.html#K12" title="ORDINAL2:func.12">exp</a> (<font color="Maroon" title="c1">e</font>,<a href="ordinal1.html#K4" title="ORDINAL1:func.4">omega</a>)</span>)</span>)
<span class="kw">by</span> <span class="lab"><a class="ref" href="ordinal5.html#D5" target="_self" onmouseover="rs('ordinal5/D5')" onmouseout="rh()">Def5</a></span>
; <a class="txt" onmouseover="tooltip.show('hs',this)" onmouseout="tooltip.hide()" 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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