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<b>let </b><font color="Maroon">a1</font> be  <a href="xreal_0.html#V1">real</a>  <a href="ordinal1.html#NM1" target="_self">number</a> , <font color="Maroon">a2</font> be  <a href="xreal_0.html#V1">real</a>  <a href="ordinal1.html#NM1" target="_self">number</a> , <font color="Maroon">a3</font> be  <a href="xreal_0.html#V1">real</a>  <a href="ordinal1.html#NM1" target="_self">number</a> , <font color="Maroon">a4</font> be  <a href="xreal_0.html#V1">real</a>  <a href="ordinal1.html#NM1" target="_self">number</a> , <font color="Maroon">a5</font> be  <a href="xreal_0.html#V1">real</a>  <a href="ordinal1.html#NM1" target="_self">number</a> , <font color="Maroon">a6</font> be  <a href="xreal_0.html#V1">real</a>  <a href="ordinal1.html#NM1" target="_self">number</a> , <font color="Maroon">b1</font> be  <a href="xreal_0.html#V1">real</a>  <a href="ordinal1.html#NM1" target="_self">number</a> , <font color="Maroon">b2</font> be  <a href="xreal_0.html#V1">real</a>  <a href="ordinal1.html#NM1" target="_self">number</a> , <font color="Maroon">b3</font> be  <a href="xreal_0.html#V1">real</a>  <a href="ordinal1.html#NM1" target="_self">number</a> , <font color="Maroon">b4</font> be  <a href="xreal_0.html#V1">real</a>  <a href="ordinal1.html#NM1" target="_self">number</a> , <font color="Maroon">b5</font> be  <a href="xreal_0.html#V1">real</a>  <a href="ordinal1.html#NM1" target="_self">number</a> , <font color="Maroon">b6</font> be  <a href="xreal_0.html#V1">real</a>  <a href="ordinal1.html#NM1" target="_self">number</a> ;<br/>

<b>assume </b><a NAME="E1:126"/>
( <font color="Maroon">a1</font> <a href="xxreal_0.html#NR2" target="_self">&gt;=</a> <font color="Maroon">b1</font> &amp; <font color="Maroon">a2</font> <a href="xxreal_0.html#NR2" target="_self">&gt;=</a> <font color="Maroon">b2</font> &amp; <font color="Maroon">a3</font> <a href="xxreal_0.html#NR2" target="_self">&gt;=</a> <font color="Maroon">b3</font> &amp; <font color="Maroon">a4</font> <a href="xxreal_0.html#NR2" target="_self">&gt;=</a> <font color="Maroon">b4</font> &amp; <font color="Maroon">a5</font> <a href="xxreal_0.html#NR2" target="_self">&gt;=</a> <font color="Maroon">b5</font> &amp; <font color="Maroon">a6</font> <a href="xxreal_0.html#NR2" target="_self">&gt;=</a> <font color="Maroon">b6</font> )
 ;<br/>

<a NAME="E2:126"/><b>then </b><i><font color="Green">E37</font></i>: 
( <font color="Maroon">a1</font> <a href="xcmplx_0.html#K2">+</a> <font color="Maroon">a2</font> <a href="xxreal_0.html#NR2" target="_self">&gt;=</a> <font color="Maroon">b1</font> <a href="xcmplx_0.html#K2">+</a> <font color="Maroon">b2</font> &amp; <font color="Maroon">a3</font> <a href="xcmplx_0.html#K2">+</a> <font color="Maroon">a4</font> <a href="xxreal_0.html#NR2" target="_self">&gt;=</a> <font color="Maroon">b3</font> <a href="xcmplx_0.html#K2">+</a> <font color="Maroon">b4</font> &amp; <font color="Maroon">a5</font> <a href="xcmplx_0.html#K2">+</a> <font color="Maroon">a6</font> <a href="xxreal_0.html#NR2" target="_self">&gt;=</a> <font color="Maroon">b5</font> <a href="xcmplx_0.html#K2">+</a> <font color="Maroon">b6</font> )
 
<b>by </b><i><a class="ref" href="xreal_1.html#T9">XREAL_1:9</a></i>;<br/>
<a NAME="E3:126"/><b>then </b>
<span class="p1">(<span class="default"><font color="Maroon">a1</font> <a href="xcmplx_0.html#K2">+</a> <font color="Maroon">a2</font></span>)</span> <a href="xcmplx_0.html#K2">+</a> <span class="p1">(<span class="default"><font color="Maroon">a3</font> <a href="xcmplx_0.html#K2">+</a> <font color="Maroon">a4</font></span>)</span> <a href="xxreal_0.html#NR2" target="_self">&gt;=</a> <span class="p1">(<span class="default"><font color="Maroon">b1</font> <a href="xcmplx_0.html#K2">+</a> <font color="Maroon">b2</font></span>)</span> <a href="xcmplx_0.html#K2">+</a> <span class="p1">(<span class="default"><font color="Maroon">b3</font> <a href="xcmplx_0.html#K2">+</a> <font color="Maroon">b4</font></span>)</span>
 
<b>by </b><i><a class="ref" href="xreal_1.html#T9">XREAL_1:9</a></i>;<br/>
<a NAME="E4:126"/><b>then </b>
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><font color="Maroon">a1</font> <a href="xcmplx_0.html#K2">+</a> <font color="Maroon">a2</font></span>)</span> <a href="xcmplx_0.html#K2">+</a> <span class="p2">(<span class="default"><font color="Maroon">a3</font> <a href="xcmplx_0.html#K2">+</a> <font color="Maroon">a4</font></span>)</span></span>)</span> <a href="xcmplx_0.html#K2">+</a> <span class="p1">(<span class="default"><font color="Maroon">a5</font> <a href="xcmplx_0.html#K2">+</a> <font color="Maroon">a6</font></span>)</span> <a href="xxreal_0.html#NR2" target="_self">&gt;=</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><font color="Maroon">b1</font> <a href="xcmplx_0.html#K2">+</a> <font color="Maroon">b2</font></span>)</span> <a href="xcmplx_0.html#K2">+</a> <span class="p2">(<span class="default"><font color="Maroon">b3</font> <a href="xcmplx_0.html#K2">+</a> <font color="Maroon">b4</font></span>)</span></span>)</span> <a href="xcmplx_0.html#K2">+</a> <span class="p1">(<span class="default"><font color="Maroon">b5</font> <a href="xcmplx_0.html#K2">+</a> <font color="Maroon">b6</font></span>)</span>
 
<b>by </b><i>, <a class="ref" href="xreal_1.html#T9">XREAL_1:9</a></i>;<br/>
<b>hence </b><a NAME="E5:126"/>
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><font color="Maroon">a1</font> <a href="xcmplx_0.html#K2">+</a> <font color="Maroon">a2</font></span>)</span> <a href="xcmplx_0.html#K2">+</a> <font color="Maroon">a3</font></span>)</span> <a href="xcmplx_0.html#K2">+</a> <font color="Maroon">a4</font></span>)</span> <a href="xcmplx_0.html#K2">+</a> <font color="Maroon">a5</font></span>)</span> <a href="xcmplx_0.html#K2">+</a> <font color="Maroon">a6</font> <a href="xxreal_0.html#NR2" target="_self">&gt;=</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><font color="Maroon">b1</font> <a href="xcmplx_0.html#K2">+</a> <font color="Maroon">b2</font></span>)</span> <a href="xcmplx_0.html#K2">+</a> <font color="Maroon">b3</font></span>)</span> <a href="xcmplx_0.html#K2">+</a> <font color="Maroon">b4</font></span>)</span> <a href="xcmplx_0.html#K2">+</a> <font color="Maroon">b5</font></span>)</span> <a href="xcmplx_0.html#K2">+</a> <font color="Maroon">b6</font>
 ;<br/>


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