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<b>let </b><font color="Maroon">r</font> be  <a href="xreal_0.html#V1">real</a>  <a href="ordinal1.html#NM1" target="_self">number</a> ;<br/><b>let </b><font color="Maroon">seq1</font> be   <a href="seq_1.html#NM1">Real_Sequence</a>;<br/><b>let </b><font color="Maroon">seq2</font> be   <a href="seq_1.html#NM1">Real_Sequence</a>;<br/>





<b>thus </b><font color="Maroon">r</font> <a href="seq_1.html#K14" target="_self">(#)</a> <span class="p1">(<span class="default"><font color="Maroon">seq1</font> <a href="seq_1.html#K10" target="_self">-</a> <font color="Maroon">seq2</font></span>)</span> = 
<font color="Maroon">r</font> <a href="seq_1.html#K14" target="_self">(#)</a> <span class="p1">(<span class="default"><font color="Maroon">seq1</font> <a href="seq_1.html#K9" target="_self">+</a> <span class="p2">(<span class="default"><a href="seq_1.html#K17" target="_self">-</a> <font color="Maroon">seq2</font></span>)</span></span>)</span>
<b>by </b><i/>
<br/>.= 
<span class="p1">(<span class="default"><font color="Maroon">r</font> <a href="seq_1.html#K14" target="_self">(#)</a> <font color="Maroon">seq1</font></span>)</span> <a href="seq_1.html#K9" target="_self">+</a> <span class="p1">(<span class="default"><font color="Maroon">r</font> <a href="seq_1.html#K14" target="_self">(#)</a> <span class="p2">(<span class="default"><a href="seq_1.html#K17" target="_self">-</a> <font color="Maroon">seq2</font></span>)</span></span>)</span>
<b>by </b><i><a class="ref" href="seq_1.html#T3" target="_self">Th3</a></i>
<br/>.= 
<span class="p1">(<span class="default"><font color="Maroon">r</font> <a href="seq_1.html#K14" target="_self">(#)</a> <font color="Maroon">seq1</font></span>)</span> <a href="seq_1.html#K9" target="_self">+</a> <span class="p1">(<span class="default"><font color="Maroon">r</font> <a href="seq_1.html#K14" target="_self">(#)</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="real_1.html#K1">-</a> 1</span>)</span> <a href="seq_1.html#K14" target="_self">(#)</a> <font color="Maroon">seq2</font></span>)</span></span>)</span>
<b>by </b><i/>
<br/>.= 
<span class="p1">(<span class="default"><font color="Maroon">r</font> <a href="seq_1.html#K14" target="_self">(#)</a> <font color="Maroon">seq1</font></span>)</span> <a href="seq_1.html#K9" target="_self">+</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="real_1.html#K1">-</a> 1</span>)</span> <a href="xcmplx_0.html#K3">*</a> <font color="Maroon">r</font></span>)</span> <a href="seq_1.html#K14" target="_self">(#)</a> <font color="Maroon">seq2</font></span>)</span>
<b>by </b><i/>
<br/>.= 
<span class="p1">(<span class="default"><font color="Maroon">r</font> <a href="seq_1.html#K14" target="_self">(#)</a> <font color="Maroon">seq1</font></span>)</span> <a href="seq_1.html#K9" target="_self">+</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="real_1.html#K1">-</a> 1</span>)</span> <a href="seq_1.html#K14" target="_self">(#)</a> <span class="p2">(<span class="default"><font color="Maroon">r</font> <a href="seq_1.html#K14" target="_self">(#)</a> <font color="Maroon">seq2</font></span>)</span></span>)</span>
<b>by </b><i/>
<br/>.= 
<span class="p1">(<span class="default"><font color="Maroon">r</font> <a href="seq_1.html#K14" target="_self">(#)</a> <font color="Maroon">seq1</font></span>)</span> <a href="seq_1.html#K9" target="_self">+</a> <span class="p1">(<span class="default"><a href="seq_1.html#K17" target="_self">-</a> <span class="p2">(<span class="default"><font color="Maroon">r</font> <a href="seq_1.html#K14" target="_self">(#)</a> <font color="Maroon">seq2</font></span>)</span></span>)</span>
<b>by </b><i/>
<br/>.= 
<span class="p1">(<span class="default"><font color="Maroon">r</font> <a href="seq_1.html#K14" target="_self">(#)</a> <font color="Maroon">seq1</font></span>)</span> <a href="seq_1.html#K10" target="_self">-</a> <span class="p1">(<span class="default"><font color="Maroon">r</font> <a href="seq_1.html#K14" target="_self">(#)</a> <font color="Maroon">seq2</font></span>)</span>
<b>by </b><i/>
;<br/>


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