<?xml version="1.0"?>
<div class="add">

<b>let </b><font color="Maroon">n</font> be    <a href="subset_1.html#M1">Element</a> of  <a href="numbers.html#K5">NAT</a> ;<br/><b>let </b><font color="Maroon">B</font> be   <a href="struct_0.html#NM2">Subset</a> of <span class="p1">(<span class="default"><a href="euclid.html#K15">TOP-REAL</a> <font color="Maroon">n</font></span>)</span>;<br/><b>let </b><font color="Maroon">t</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">s</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="E1:90"/><i><font color="Green">E24</font></i>: 
( <font color="Maroon">B</font> is <a href="jordan1.html#V1">convex</a> &amp; 0 <a href="xxreal_0.html#R1">&lt;</a> <font color="Maroon">t</font> &amp; 0 <a href="xxreal_0.html#R1">&lt;</a> <font color="Maroon">s</font> )
 ;<br/>

<a NAME="E2:90"/><b>then </b><i><font color="Green">E35</font></i>: 
0 <a href="real_1.html#K3">+</a> 0 <a href="xxreal_0.html#R1">&lt;</a> <font color="Maroon">s</font> <a href="xcmplx_0.html#K2">+</a> <font color="Maroon">t</font>
 
<b>by </b><i><a class="ref" href="xreal_1.html#T10">XREAL_1:10</a></i>;<br/>
<a NAME="E3:90"/><b>then </b><i><font color="Green">E36</font></i>: 
0 <a href="xxreal_0.html#R1">&lt;</a> <font color="Maroon">s</font> <a href="xcmplx_0.html#K7">/</a> <span class="p1">(<span class="default"><font color="Maroon">s</font> <a href="xcmplx_0.html#K2">+</a> <font color="Maroon">t</font></span>)</span>
 
<b>by </b><i><a class="ref" href="real_2.html#T127">REAL_2:127</a>, <a class="ref" href="mathmorp.html#T2" target="_self">Th2</a></i>;<br/>
<a NAME="E4:90"/>
<font color="Maroon">s</font> <a href="xxreal_0.html#R1">&lt;</a> <font color="Maroon">s</font> <a href="xcmplx_0.html#K2">+</a> <font color="Maroon">t</font>
 
<b>by </b><i><a class="ref" href="xreal_1.html#T31">XREAL_1:31</a>, <a class="ref" href="mathmorp.html#T2" target="_self">Th2</a></i>;<br/>
<a NAME="E5:90"/><b>then </b>
<font color="Maroon">s</font> <a href="xcmplx_0.html#K7">/</a> <span class="p1">(<span class="default"><font color="Maroon">s</font> <a href="xcmplx_0.html#K2">+</a> <font color="Maroon">t</font></span>)</span> <a href="xxreal_0.html#R1">&lt;</a> <span class="p1">(<span class="default"><font color="Maroon">s</font> <a href="xcmplx_0.html#K2">+</a> <font color="Maroon">t</font></span>)</span> <a href="xcmplx_0.html#K7">/</a> <span class="p1">(<span class="default"><font color="Maroon">s</font> <a href="xcmplx_0.html#K2">+</a> <font color="Maroon">t</font></span>)</span>
 
<b>by </b><i><a class="ref" href="real_1.html#T73">REAL_1:73</a>, <a class="ref" href="mathmorp.html#T2" target="_self">Th2</a></i>;<br/>
<a NAME="E6:90"/><b>then </b><i><font color="Green">E38</font></i>: 
<font color="Maroon">s</font> <a href="xcmplx_0.html#K7">/</a> <span class="p1">(<span class="default"><font color="Maroon">s</font> <a href="xcmplx_0.html#K2">+</a> <font color="Maroon">t</font></span>)</span> <a href="xxreal_0.html#R1">&lt;</a> 1
 
<b>by </b><i><a class="ref" href="xcmplx_1.html#T60">XCMPLX_1:60</a>, </i>;<br/>
<b>thus </b><a NAME="E7:90"/>
<span class="p1">(<span class="default"><font color="Maroon">s</font> <a href="xcmplx_0.html#K2">+</a> <font color="Maroon">t</font></span>)</span> <a href="mathmorp.html#K7" target="_self">(.)</a> <font color="Maroon">B</font> <a href="tarski.html#R1">c=</a> <span class="p1">(<span class="default"><font color="Maroon">s</font> <a href="mathmorp.html#K7" target="_self">(.)</a> <font color="Maroon">B</font></span>)</span> <a href="mathmorp.html#K4" target="_self">(+)</a> <span class="p1">(<span class="default"><font color="Maroon">t</font> <a href="mathmorp.html#K7" target="_self">(.)</a> <font color="Maroon">B</font></span>)</span>
  <i><font color="Red">:: according to </font></i><a class="ref" href="xboole_0.html#D10">XBOOLE_0:def 10</a><div><a class="txt" onclick="hs2(this)" href="javascript:()" title="90_1"><b>proof </b></a><div class="add">

<b>let </b><font color="Maroon">x</font> be    <a href="hidden.html#M1">set</a> ; <i><font color="Red">:: according to </font></i><a class="ref" href="tarski.html#D3">TARSKI:def 3</a><br/>

<b>assume </b><a NAME="E1:90_1"/>
<font color="Maroon">x</font> <a href="hidden.html#R2">in</a> <span class="p1">(<span class="default"><font color="Maroon">s</font> <a href="xcmplx_0.html#K2">+</a> <font color="Maroon">t</font></span>)</span> <a href="mathmorp.html#K7" target="_self">(.)</a> <font color="Maroon">B</font>
 ;<br/>

<a NAME="E2:90_1"/><b>then </b>
<font color="Maroon">x</font> <a href="hidden.html#R2">in</a> <span class="p1">{<span class="default"> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><font color="Maroon">s</font> <a href="xcmplx_0.html#K2">+</a> <font color="Maroon">t</font></span>)</span> <a href="euclid.html#K18">*</a> <font color="Olive">b</font></span>)</span> where <font color="Olive">b</font> is   <a href="pre_topc.html#NM2">Point</a> of <span class="p1">(<span class="default"><a href="euclid.html#K15">TOP-REAL</a> <font color="Maroon">n</font></span>)</span> : <font color="Olive">b</font> <a href="hidden.html#R2">in</a> <font color="Maroon">B</font> </span>}</span> 
 
;<br/>
<b>then consider </b><font color="Maroon">b</font> being   <a href="pre_topc.html#NM2">Point</a> of <span class="p1">(<span class="default"><a href="euclid.html#K15">TOP-REAL</a> <font color="Maroon">n</font></span>)</span><b> such that </b><br/><a NAME="E4:90_1"/><i><font color="Green">E51</font></i>: 
( <font color="Maroon">x</font> <a href="hidden.html#R1">=</a> <span class="p1">(<span class="default"><font color="Maroon">s</font> <a href="xcmplx_0.html#K2">+</a> <font color="Maroon">t</font></span>)</span> <a href="euclid.html#K18">*</a> <font color="Maroon">b</font> &amp; <font color="Maroon">b</font> <a href="hidden.html#R2">in</a> <font color="Maroon">B</font> )
 ;<br/>
<a NAME="E5:90_1"/><i><font color="Green">E56</font></i>: 
<font color="Maroon">x</font> <a href="hidden.html#R1">=</a> <span class="p1">(<span class="default"><font color="Maroon">s</font> <a href="euclid.html#K18">*</a> <font color="Maroon">b</font></span>)</span> <a href="euclid.html#K17">+</a> <span class="p1">(<span class="default"><font color="Maroon">t</font> <a href="euclid.html#K18">*</a> <font color="Maroon">b</font></span>)</span>
 
<b>by </b><i><a class="ref" href="euclid.html#T37">EUCLID:37</a>, </i>;<br/>
<a NAME="E6:90_1"/>
<font color="Maroon">s</font> <a href="euclid.html#K18">*</a> <font color="Maroon">b</font> <a href="hidden.html#R2">in</a> <span class="p1">{<span class="default"> <span class="p2">(<span class="default"><font color="Maroon">s</font> <a href="euclid.html#K18">*</a> <font color="Olive">b1</font></span>)</span> where <font color="Olive">b1</font> is   <a href="pre_topc.html#NM2">Point</a> of <span class="p1">(<span class="default"><a href="euclid.html#K15">TOP-REAL</a> <font color="Maroon">n</font></span>)</span> : <font color="Olive">b1</font> <a href="hidden.html#R2">in</a> <font color="Maroon">B</font> </span>}</span> 
 
<b>by </b><i/>;<br/>
<a NAME="E7:90_1"/><b>then </b><i><font color="Green">E57</font></i>: 
<font color="Maroon">s</font> <a href="euclid.html#K18">*</a> <font color="Maroon">b</font> <a href="hidden.html#R2">in</a> <font color="Maroon">s</font> <a href="mathmorp.html#K7" target="_self">(.)</a> <font color="Maroon">B</font>
 
;<br/>
<a NAME="E8:90_1"/>
<font color="Maroon">t</font> <a href="euclid.html#K18">*</a> <font color="Maroon">b</font> <a href="hidden.html#R2">in</a> <span class="p1">{<span class="default"> <span class="p2">(<span class="default"><font color="Maroon">t</font> <a href="euclid.html#K18">*</a> <font color="Olive">b1</font></span>)</span> where <font color="Olive">b1</font> is   <a href="pre_topc.html#NM2">Point</a> of <span class="p1">(<span class="default"><a href="euclid.html#K15">TOP-REAL</a> <font color="Maroon">n</font></span>)</span> : <font color="Olive">b1</font> <a href="hidden.html#R2">in</a> <font color="Maroon">B</font> </span>}</span> 
 
<b>by </b><i/>;<br/>
<a NAME="E9:90_1"/><b>then </b>
<font color="Maroon">t</font> <a href="euclid.html#K18">*</a> <font color="Maroon">b</font> <a href="hidden.html#R2">in</a> <font color="Maroon">t</font> <a href="mathmorp.html#K7" target="_self">(.)</a> <font color="Maroon">B</font>
 
;<br/>
<a NAME="E10:90_1"/><b>then </b>
<span class="p1">(<span class="default"><font color="Maroon">s</font> <a href="euclid.html#K18">*</a> <font color="Maroon">b</font></span>)</span> <a href="euclid.html#K17">+</a> <span class="p1">(<span class="default"><font color="Maroon">t</font> <a href="euclid.html#K18">*</a> <font color="Maroon">b</font></span>)</span> <a href="hidden.html#R2">in</a> <span class="p1">{<span class="default"> <span class="p2">(<span class="default"><font color="Olive">z1</font> <a href="euclid.html#K17">+</a> <font color="Olive">z2</font></span>)</span> where <font color="Olive">z1</font> is   <a href="pre_topc.html#NM2">Point</a> of <span class="p1">(<span class="default"><a href="euclid.html#K15">TOP-REAL</a> <font color="Maroon">n</font></span>)</span>, <font color="Olive">z2</font> is   <a href="pre_topc.html#NM2">Point</a> of <span class="p1">(<span class="default"><a href="euclid.html#K15">TOP-REAL</a> <font color="Maroon">n</font></span>)</span> : ( <font color="Olive">z1</font> <a href="hidden.html#R2">in</a> <font color="Maroon">s</font> <a href="mathmorp.html#K7" target="_self">(.)</a> <font color="Maroon">B</font> &amp; <font color="Olive">z2</font> <a href="hidden.html#R2">in</a> <font color="Maroon">t</font> <a href="mathmorp.html#K7" target="_self">(.)</a> <font color="Maroon">B</font> ) </span>}</span> 
 
<b>by </b><i/>;<br/>
<b>hence </b><a NAME="E11:90_1"/>
<font color="Maroon">x</font> <a href="hidden.html#R2">in</a> <span class="p1">(<span class="default"><font color="Maroon">s</font> <a href="mathmorp.html#K7" target="_self">(.)</a> <font color="Maroon">B</font></span>)</span> <a href="mathmorp.html#K4" target="_self">(+)</a> <span class="p1">(<span class="default"><font color="Maroon">t</font> <a href="mathmorp.html#K7" target="_self">(.)</a> <font color="Maroon">B</font></span>)</span>
 <b>by </b><i><a class="ref" href="mathmorp.html#T4" target="_self">Th4</a></i>;<br/>


</div><b>end;</b></div>

<b>let </b><font color="Maroon">x</font> be    <a href="hidden.html#M1">set</a> ; <i><font color="Red">:: according to </font></i><a class="ref" href="tarski.html#D3">TARSKI:def 3</a><br/>

<b>assume </b><a NAME="E8:90"/>
<font color="Maroon">x</font> <a href="hidden.html#R2">in</a> <span class="p1">(<span class="default"><font color="Maroon">s</font> <a href="mathmorp.html#K7" target="_self">(.)</a> <font color="Maroon">B</font></span>)</span> <a href="mathmorp.html#K4" target="_self">(+)</a> <span class="p1">(<span class="default"><font color="Maroon">t</font> <a href="mathmorp.html#K7" target="_self">(.)</a> <font color="Maroon">B</font></span>)</span>
 ;<br/>

<a NAME="E9:90"/><b>then </b>
<font color="Maroon">x</font> <a href="hidden.html#R2">in</a> <span class="p1">{<span class="default"> <span class="p2">(<span class="default"><font color="Olive">s1</font> <a href="euclid.html#K17">+</a> <font color="Olive">s2</font></span>)</span> where <font color="Olive">s1</font> is   <a href="pre_topc.html#NM2">Point</a> of <span class="p1">(<span class="default"><a href="euclid.html#K15">TOP-REAL</a> <font color="Maroon">n</font></span>)</span>, <font color="Olive">s2</font> is   <a href="pre_topc.html#NM2">Point</a> of <span class="p1">(<span class="default"><a href="euclid.html#K15">TOP-REAL</a> <font color="Maroon">n</font></span>)</span> : ( <font color="Olive">s1</font> <a href="hidden.html#R2">in</a> <font color="Maroon">s</font> <a href="mathmorp.html#K7" target="_self">(.)</a> <font color="Maroon">B</font> &amp; <font color="Olive">s2</font> <a href="hidden.html#R2">in</a> <font color="Maroon">t</font> <a href="mathmorp.html#K7" target="_self">(.)</a> <font color="Maroon">B</font> ) </span>}</span> 
 
;<br/>
<b>then consider </b><font color="Maroon">s1</font> being   <a href="pre_topc.html#NM2">Point</a> of <span class="p1">(<span class="default"><a href="euclid.html#K15">TOP-REAL</a> <font color="Maroon">n</font></span>)</span>, <font color="Maroon">s2</font> being   <a href="pre_topc.html#NM2">Point</a> of <span class="p1">(<span class="default"><a href="euclid.html#K15">TOP-REAL</a> <font color="Maroon">n</font></span>)</span><b> such that </b><br/><a NAME="E11:90"/><i><font color="Green">E87</font></i>: 
( <font color="Maroon">x</font> <a href="hidden.html#R1">=</a> <font color="Maroon">s1</font> <a href="euclid.html#K17">+</a> <font color="Maroon">s2</font> &amp; <font color="Maroon">s1</font> <a href="hidden.html#R2">in</a> <font color="Maroon">s</font> <a href="mathmorp.html#K7" target="_self">(.)</a> <font color="Maroon">B</font> &amp; <font color="Maroon">s2</font> <a href="hidden.html#R2">in</a> <font color="Maroon">t</font> <a href="mathmorp.html#K7" target="_self">(.)</a> <font color="Maroon">B</font> )
 ;<br/>
<a NAME="E12:90"/>
<font color="Maroon">s1</font> <a href="hidden.html#R2">in</a> <span class="p1">{<span class="default"> <span class="p2">(<span class="default"><font color="Maroon">s</font> <a href="euclid.html#K18">*</a> <font color="Olive">b1</font></span>)</span> where <font color="Olive">b1</font> is   <a href="pre_topc.html#NM2">Point</a> of <span class="p1">(<span class="default"><a href="euclid.html#K15">TOP-REAL</a> <font color="Maroon">n</font></span>)</span> : <font color="Olive">b1</font> <a href="hidden.html#R2">in</a> <font color="Maroon">B</font> </span>}</span> 
 
<b>by </b><i/>;<br/>
<b>then consider </b><font color="Maroon">b1</font> being   <a href="pre_topc.html#NM2">Point</a> of <span class="p1">(<span class="default"><a href="euclid.html#K15">TOP-REAL</a> <font color="Maroon">n</font></span>)</span><b> such that </b><br/><a NAME="E14:90"/><i><font color="Green">E88</font></i>: 
( <font color="Maroon">s1</font> <a href="hidden.html#R1">=</a> <font color="Maroon">s</font> <a href="euclid.html#K18">*</a> <font color="Maroon">b1</font> &amp; <font color="Maroon">b1</font> <a href="hidden.html#R2">in</a> <font color="Maroon">B</font> )
 ;<br/>
<a NAME="E15:90"/>
<font color="Maroon">s2</font> <a href="hidden.html#R2">in</a> <span class="p1">{<span class="default"> <span class="p2">(<span class="default"><font color="Maroon">t</font> <a href="euclid.html#K18">*</a> <font color="Olive">b2</font></span>)</span> where <font color="Olive">b2</font> is   <a href="pre_topc.html#NM2">Point</a> of <span class="p1">(<span class="default"><a href="euclid.html#K15">TOP-REAL</a> <font color="Maroon">n</font></span>)</span> : <font color="Olive">b2</font> <a href="hidden.html#R2">in</a> <font color="Maroon">B</font> </span>}</span> 
 
<b>by </b><i/>;<br/>
<b>then consider </b><font color="Maroon">b2</font> being   <a href="pre_topc.html#NM2">Point</a> of <span class="p1">(<span class="default"><a href="euclid.html#K15">TOP-REAL</a> <font color="Maroon">n</font></span>)</span><b> such that </b><br/><a NAME="E17:90"/><i><font color="Green">E90</font></i>: 
( <font color="Maroon">s2</font> <a href="hidden.html#R1">=</a> <font color="Maroon">t</font> <a href="euclid.html#K18">*</a> <font color="Maroon">b2</font> &amp; <font color="Maroon">b2</font> <a href="hidden.html#R2">in</a> <font color="Maroon">B</font> )
 ;<br/>
<a NAME="E18:90"/>
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><font color="Maroon">s</font> <a href="xcmplx_0.html#K7">/</a> <span class="p3">(<span class="default"><font color="Maroon">s</font> <a href="xcmplx_0.html#K2">+</a> <font color="Maroon">t</font></span>)</span></span>)</span> <a href="euclid.html#K18">*</a> <font color="Maroon">b1</font></span>)</span> <a href="euclid.html#K17">+</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default">1 <a href="xcmplx_0.html#K6">-</a> <span class="p3">(<span class="default"><font color="Maroon">s</font> <a href="xcmplx_0.html#K7">/</a> <span class="p4">(<span class="default"><font color="Maroon">s</font> <a href="xcmplx_0.html#K2">+</a> <font color="Maroon">t</font></span>)</span></span>)</span></span>)</span> <a href="euclid.html#K18">*</a> <font color="Maroon">b2</font></span>)</span> <a href="hidden.html#R2">in</a> <font color="Maroon">B</font>
 
<b>by </b><i><a class="ref" href="mathmorp.html#T2" target="_self">Th2</a>, <a class="ref" href="mathmorp.html#T3" target="_self">Th3</a>, , <a class="ref" href="mathmorp.html#T4" target="_self">Th4</a>, , </i>;<br/>
<a NAME="E19:90"/><b>then </b>
<span class="p1">(<span class="default"><font color="Maroon">s</font> <a href="xcmplx_0.html#K2">+</a> <font color="Maroon">t</font></span>)</span> <a href="euclid.html#K18">*</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><font color="Maroon">s</font> <a href="xcmplx_0.html#K7">/</a> <span class="p4">(<span class="default"><font color="Maroon">s</font> <a href="xcmplx_0.html#K2">+</a> <font color="Maroon">t</font></span>)</span></span>)</span> <a href="euclid.html#K18">*</a> <font color="Maroon">b1</font></span>)</span> <a href="euclid.html#K17">+</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default">1 <a href="xcmplx_0.html#K6">-</a> <span class="p4">(<span class="default"><font color="Maroon">s</font> <a href="xcmplx_0.html#K7">/</a> <span class="p5">(<span class="default"><font color="Maroon">s</font> <a href="xcmplx_0.html#K2">+</a> <font color="Maroon">t</font></span>)</span></span>)</span></span>)</span> <a href="euclid.html#K18">*</a> <font color="Maroon">b2</font></span>)</span></span>)</span> <a href="hidden.html#R2">in</a> <span class="p1">{<span class="default"> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><font color="Maroon">s</font> <a href="xcmplx_0.html#K2">+</a> <font color="Maroon">t</font></span>)</span> <a href="euclid.html#K18">*</a> <font color="Olive">zz</font></span>)</span> where <font color="Olive">zz</font> is   <a href="pre_topc.html#NM2">Point</a> of <span class="p1">(<span class="default"><a href="euclid.html#K15">TOP-REAL</a> <font color="Maroon">n</font></span>)</span> : <font color="Olive">zz</font> <a href="hidden.html#R2">in</a> <font color="Maroon">B</font> </span>}</span> 
 
;<br/>
<a NAME="E20:90"/><b>then </b>
<span class="p1">(<span class="default"><font color="Maroon">s</font> <a href="xcmplx_0.html#K2">+</a> <font color="Maroon">t</font></span>)</span> <a href="euclid.html#K18">*</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><font color="Maroon">s</font> <a href="xcmplx_0.html#K7">/</a> <span class="p4">(<span class="default"><font color="Maroon">s</font> <a href="xcmplx_0.html#K2">+</a> <font color="Maroon">t</font></span>)</span></span>)</span> <a href="euclid.html#K18">*</a> <font color="Maroon">b1</font></span>)</span> <a href="euclid.html#K17">+</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default">1 <a href="xcmplx_0.html#K6">-</a> <span class="p4">(<span class="default"><font color="Maroon">s</font> <a href="xcmplx_0.html#K7">/</a> <span class="p5">(<span class="default"><font color="Maroon">s</font> <a href="xcmplx_0.html#K2">+</a> <font color="Maroon">t</font></span>)</span></span>)</span></span>)</span> <a href="euclid.html#K18">*</a> <font color="Maroon">b2</font></span>)</span></span>)</span> <a href="hidden.html#R2">in</a> <span class="p1">(<span class="default"><font color="Maroon">s</font> <a href="xcmplx_0.html#K2">+</a> <font color="Maroon">t</font></span>)</span> <a href="mathmorp.html#K7" target="_self">(.)</a> <font color="Maroon">B</font>
 
;<br/>
<a NAME="E21:90"/><b>then </b>
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><font color="Maroon">s</font> <a href="xcmplx_0.html#K2">+</a> <font color="Maroon">t</font></span>)</span> <a href="euclid.html#K18">*</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><font color="Maroon">s</font> <a href="xcmplx_0.html#K7">/</a> <span class="p4">(<span class="default"><font color="Maroon">s</font> <a href="xcmplx_0.html#K2">+</a> <font color="Maroon">t</font></span>)</span></span>)</span> <a href="euclid.html#K18">*</a> <font color="Maroon">b1</font></span>)</span></span>)</span> <a href="euclid.html#K17">+</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><font color="Maroon">s</font> <a href="xcmplx_0.html#K2">+</a> <font color="Maroon">t</font></span>)</span> <a href="euclid.html#K18">*</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default">1 <a href="xcmplx_0.html#K6">-</a> <span class="p4">(<span class="default"><font color="Maroon">s</font> <a href="xcmplx_0.html#K7">/</a> <span class="p5">(<span class="default"><font color="Maroon">s</font> <a href="xcmplx_0.html#K2">+</a> <font color="Maroon">t</font></span>)</span></span>)</span></span>)</span> <a href="euclid.html#K18">*</a> <font color="Maroon">b2</font></span>)</span></span>)</span> <a href="hidden.html#R2">in</a> <span class="p1">(<span class="default"><font color="Maroon">s</font> <a href="xcmplx_0.html#K2">+</a> <font color="Maroon">t</font></span>)</span> <a href="mathmorp.html#K7" target="_self">(.)</a> <font color="Maroon">B</font>
 
<b>by </b><i><a class="ref" href="euclid.html#T36">EUCLID:36</a></i>;<br/>
<a NAME="E22:90"/><b>then </b>
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><font color="Maroon">s</font> <a href="xcmplx_0.html#K2">+</a> <font color="Maroon">t</font></span>)</span> <a href="xcmplx_0.html#K3">*</a> <span class="p3">(<span class="default"><font color="Maroon">s</font> <a href="xcmplx_0.html#K7">/</a> <span class="p4">(<span class="default"><font color="Maroon">s</font> <a href="xcmplx_0.html#K2">+</a> <font color="Maroon">t</font></span>)</span></span>)</span></span>)</span> <a href="euclid.html#K18">*</a> <font color="Maroon">b1</font></span>)</span> <a href="euclid.html#K17">+</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><font color="Maroon">s</font> <a href="xcmplx_0.html#K2">+</a> <font color="Maroon">t</font></span>)</span> <a href="euclid.html#K18">*</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default">1 <a href="xcmplx_0.html#K6">-</a> <span class="p4">(<span class="default"><font color="Maroon">s</font> <a href="xcmplx_0.html#K7">/</a> <span class="p5">(<span class="default"><font color="Maroon">s</font> <a href="xcmplx_0.html#K2">+</a> <font color="Maroon">t</font></span>)</span></span>)</span></span>)</span> <a href="euclid.html#K18">*</a> <font color="Maroon">b2</font></span>)</span></span>)</span> <a href="hidden.html#R2">in</a> <span class="p1">(<span class="default"><font color="Maroon">s</font> <a href="xcmplx_0.html#K2">+</a> <font color="Maroon">t</font></span>)</span> <a href="mathmorp.html#K7" target="_self">(.)</a> <font color="Maroon">B</font>
 
<b>by </b><i><a class="ref" href="euclid.html#T34">EUCLID:34</a></i>;<br/>
<a NAME="E23:90"/><b>then </b>
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><font color="Maroon">s</font> <a href="xcmplx_0.html#K2">+</a> <font color="Maroon">t</font></span>)</span> <a href="xcmplx_0.html#K3">*</a> <span class="p3">(<span class="default"><font color="Maroon">s</font> <a href="xcmplx_0.html#K7">/</a> <span class="p4">(<span class="default"><font color="Maroon">s</font> <a href="xcmplx_0.html#K2">+</a> <font color="Maroon">t</font></span>)</span></span>)</span></span>)</span> <a href="euclid.html#K18">*</a> <font color="Maroon">b1</font></span>)</span> <a href="euclid.html#K17">+</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><font color="Maroon">s</font> <a href="xcmplx_0.html#K2">+</a> <font color="Maroon">t</font></span>)</span> <a href="xcmplx_0.html#K3">*</a> <span class="p3">(<span class="default">1 <a href="xcmplx_0.html#K6">-</a> <span class="p4">(<span class="default"><font color="Maroon">s</font> <a href="xcmplx_0.html#K7">/</a> <span class="p5">(<span class="default"><font color="Maroon">s</font> <a href="xcmplx_0.html#K2">+</a> <font color="Maroon">t</font></span>)</span></span>)</span></span>)</span></span>)</span> <a href="euclid.html#K18">*</a> <font color="Maroon">b2</font></span>)</span> <a href="hidden.html#R2">in</a> <span class="p1">(<span class="default"><font color="Maroon">s</font> <a href="xcmplx_0.html#K2">+</a> <font color="Maroon">t</font></span>)</span> <a href="mathmorp.html#K7" target="_self">(.)</a> <font color="Maroon">B</font>
 
<b>by </b><i><a class="ref" href="euclid.html#T34">EUCLID:34</a></i>;<br/>
<a NAME="E24:90"/><b>then </b>
<span class="p1">(<span class="default"><font color="Maroon">s</font> <a href="euclid.html#K18">*</a> <font color="Maroon">b1</font></span>)</span> <a href="euclid.html#K17">+</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><font color="Maroon">s</font> <a href="xcmplx_0.html#K2">+</a> <font color="Maroon">t</font></span>)</span> <a href="xcmplx_0.html#K3">*</a> <span class="p3">(<span class="default">1 <a href="xcmplx_0.html#K6">-</a> <span class="p4">(<span class="default"><font color="Maroon">s</font> <a href="xcmplx_0.html#K7">/</a> <span class="p5">(<span class="default"><font color="Maroon">s</font> <a href="xcmplx_0.html#K2">+</a> <font color="Maroon">t</font></span>)</span></span>)</span></span>)</span></span>)</span> <a href="euclid.html#K18">*</a> <font color="Maroon">b2</font></span>)</span> <a href="hidden.html#R2">in</a> <span class="p1">(<span class="default"><font color="Maroon">s</font> <a href="xcmplx_0.html#K2">+</a> <font color="Maroon">t</font></span>)</span> <a href="mathmorp.html#K7" target="_self">(.)</a> <font color="Maroon">B</font>
 
<b>by </b><i><a class="ref" href="xcmplx_1.html#T88">XCMPLX_1:88</a>, </i>;<br/>
<a NAME="E25:90"/><b>then </b>
<span class="p1">(<span class="default"><font color="Maroon">s</font> <a href="euclid.html#K18">*</a> <font color="Maroon">b1</font></span>)</span> <a href="euclid.html#K17">+</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><font color="Maroon">s</font> <a href="xcmplx_0.html#K2">+</a> <font color="Maroon">t</font></span>)</span> <a href="xcmplx_0.html#K3">*</a> <span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><font color="Maroon">s</font> <a href="xcmplx_0.html#K2">+</a> <font color="Maroon">t</font></span>)</span> <a href="xcmplx_0.html#K7">/</a> <span class="p5">(<span class="default"><font color="Maroon">s</font> <a href="xcmplx_0.html#K2">+</a> <font color="Maroon">t</font></span>)</span></span>)</span> <a href="xcmplx_0.html#K6">-</a> <span class="p4">(<span class="default"><font color="Maroon">s</font> <a href="xcmplx_0.html#K7">/</a> <span class="p5">(<span class="default"><font color="Maroon">s</font> <a href="xcmplx_0.html#K2">+</a> <font color="Maroon">t</font></span>)</span></span>)</span></span>)</span></span>)</span> <a href="euclid.html#K18">*</a> <font color="Maroon">b2</font></span>)</span> <a href="hidden.html#R2">in</a> <span class="p1">(<span class="default"><font color="Maroon">s</font> <a href="xcmplx_0.html#K2">+</a> <font color="Maroon">t</font></span>)</span> <a href="mathmorp.html#K7" target="_self">(.)</a> <font color="Maroon">B</font>
 
<b>by </b><i><a class="ref" href="xcmplx_1.html#T60">XCMPLX_1:60</a>, </i>;<br/>
<a NAME="E26:90"/><b>then </b>
<span class="p1">(<span class="default"><font color="Maroon">s</font> <a href="euclid.html#K18">*</a> <font color="Maroon">b1</font></span>)</span> <a href="euclid.html#K17">+</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><font color="Maroon">s</font> <a href="xcmplx_0.html#K2">+</a> <font color="Maroon">t</font></span>)</span> <a href="xcmplx_0.html#K3">*</a> <span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><font color="Maroon">s</font> <a href="xcmplx_0.html#K2">+</a> <font color="Maroon">t</font></span>)</span> <a href="xcmplx_0.html#K6">-</a> <font color="Maroon">s</font></span>)</span> <a href="xcmplx_0.html#K7">/</a> <span class="p4">(<span class="default"><font color="Maroon">s</font> <a href="xcmplx_0.html#K2">+</a> <font color="Maroon">t</font></span>)</span></span>)</span></span>)</span> <a href="euclid.html#K18">*</a> <font color="Maroon">b2</font></span>)</span> <a href="hidden.html#R2">in</a> <span class="p1">(<span class="default"><font color="Maroon">s</font> <a href="xcmplx_0.html#K2">+</a> <font color="Maroon">t</font></span>)</span> <a href="mathmorp.html#K7" target="_self">(.)</a> <font color="Maroon">B</font>
 
<b>by </b><i><a class="ref" href="xcmplx_1.html#T121">XCMPLX_1:121</a></i>;<br/>
<b>hence </b><a NAME="E27:90"/>
<font color="Maroon">x</font> <a href="hidden.html#R2">in</a> <span class="p1">(<span class="default"><font color="Maroon">s</font> <a href="xcmplx_0.html#K2">+</a> <font color="Maroon">t</font></span>)</span> <a href="mathmorp.html#K7" target="_self">(.)</a> <font color="Maroon">B</font>
 <b>by </b><i>, <a class="ref" href="mathmorp.html#T4" target="_self">Th4</a>, , <a class="ref" href="xcmplx_1.html#T88">XCMPLX_1:88</a>, </i>;<br/>


</div>
