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<b>let </b><font color="Maroon">i</font> be  <a href="ordinal1.html#V7">natural</a>  <a href="ordinal1.html#NM1" target="_self">number</a> ;<br/><b>let </b><font color="Maroon">i1</font> be  <a href="ordinal1.html#V7">natural</a>  <a href="ordinal1.html#NM1" target="_self">number</a> ;<br/>



<b>assume </b><a NAME="E1:47"/><i><font color="Green">E29</font></i>: 
( 1 <a href="xxreal_0.html#R1">&lt;=</a> <font color="Maroon">i</font> &amp; 1 <a href="xxreal_0.html#R1">&lt;=</a> <font color="Maroon">i1</font> <a href="binarith.html#K3" target="_self">-'</a> <font color="Maroon">i</font> )
 ;<br/>

<b>then </b><i><font color="Green">E40</font></i>: <font color="Maroon">i1</font> <a href="xcmplx_0.html#K6">-</a> <font color="Maroon">i</font> = 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><font color="Maroon">i1</font> <a href="binarith.html#K3" target="_self">-'</a> <font color="Maroon">i</font></span>)</span> <a href="xcmplx_0.html#K2">+</a> <font color="Maroon">i</font></span>)</span> <a href="xcmplx_0.html#K6">-</a> <font color="Maroon">i</font>
<b>by </b><i/>
<br/>.= 
<font color="Maroon">i1</font> <a href="binarith.html#K3" target="_self">-'</a> <font color="Maroon">i</font>

;<br/>
<a NAME="E3:47"/>
<font color="Maroon">i1</font> <a href="xcmplx_0.html#K6">-</a> <span class="p1">(<span class="default"><font color="Maroon">i1</font> <a href="binarith.html#K3" target="_self">-'</a> <font color="Maroon">i</font></span>)</span> <a href="hidden.html#R1">=</a> <font color="Maroon">i</font>
 
<b>by </b><i/>;<br/>
<b>hence </b><a NAME="E4:47"/>
<font color="Maroon">i1</font> <a href="binarith.html#K3" target="_self">-'</a> <font color="Maroon">i</font> <a href="xxreal_0.html#NR3" target="_self">&lt;</a> <font color="Maroon">i1</font>
 <b>by </b><i>, <a class="ref" href="real_2.html#T106">REAL_2:106</a></i>;<br/>


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