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<b>let </b><font color="Maroon" title="c1">A</font> be   <a href="ordinal1.html#NM2" title="ORDINAL1:NM.2">Ordinal</a>;<br/>

<a NAME="E1:74"/><i><font color="Green" title="E45">A1</font></i>: 
( <font color="Maroon" title="c1">A</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c1">A</font> <a href="ordinal2.html#K11" title="ORDINAL2:func.11">*^</a> 1 &amp; <font color="Maroon" title="c1">A</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c1">A</font> <a href="ordinal2.html#K10" title="ORDINAL2:func.10">+^</a> <a href="xboole_0.html#K1" title="XBOOLE_0:func.1">{}</a>  &amp;  <a href="xboole_0.html#K1" title="XBOOLE_0:func.1">{}</a>  <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a> 1 )
 
<b>by </b><i><a class="ref" href="ordinal3.html#T10" target="_self" title="ORDINAL3:th.10">Th10</a>, <a class="ref" href="ordinal2.html#T44" title="ORDINAL2:th.44">ORDINAL2:44</a>, <a class="ref" href="ordinal2.html#T56" title="ORDINAL2:th.56">ORDINAL2:56</a></i>;<br/>
<b>hence </b><a NAME="E2:74"/>
<font color="Maroon" title="c1">A</font> <a href="ordinal3.html#K6" title="ORDINAL3:func.6">div^</a> 1 <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c1">A</font>
 <b>by </b><i><a class="ref" href="ordinal3.html#D7" target="_self" title="ORDINAL3:def.7">Def7</a></i>;<br/>

<b>thus </b><font color="Maroon" title="c1">A</font> <a href="ordinal3.html#K7" title="ORDINAL3:func.7">mod^</a> 1 = 
<font color="Maroon" title="c1">A</font> <a href="ordinal3.html#K5" title="ORDINAL3:func.5">-^</a> <font color="Maroon" title="c1">A</font>
<b>by </b><i><a class="txt" href="ordinal3.html#E1:74"><i><font color="Green" title="E45">A1</font></i></a>, <a class="ref" href="ordinal3.html#D7" target="_self" title="ORDINAL3:def.7">Def7</a></i>
<br/>.= 
 <a href="xboole_0.html#K1" title="XBOOLE_0:func.1">{}</a> 
<b>by </b><i><a class="ref" href="ordinal3.html#T67" target="_self" title="ORDINAL3:th.67">Th67</a></i>
;<br/>


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