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

<a NAME="E1:3_1_1"/><i><font color="Green">E1</font></i>: 
 <a href="numbers.html#K4">INT</a>  <a href="tarski.html#R1">c=</a> <span class="p1">(<span class="default"><a href="tarski.html#K3">union</a> <span class="p2"><a href="tarski.html#K2">{</a><span class="default"><a href="numbers.html#K4">INT</a> ,<span class="p3">(<span class="default"><a href="numbers.html#K4">INT</a>  <a href="finseq_1.html#K13">*</a> </span>)</span></span><a href="tarski.html#K2">}</a></span></span>)</span> <a href="xboole_0.html#K2">\/</a> <a href="numbers.html#K4">INT</a> 
 
<b>by </b><i><a class="ref" href="xboole_1.html#T7">XBOOLE_1:7</a></i>;<br/>
<a NAME="E2:3_1_1"/><i><font color="Green">E2</font></i>: 
<span class="p1">{<span class="default"> <span class="p2"><a href="tarski.html#K4">[</a><span class="default"><font color="Olive">b<sub>1</sub></font>,<span class="p3"><a href="finseq_4.html#K3">&lt;*</a><span class="default"><font color="Olive">b<sub>2</sub></font>,<font color="Olive">b<sub>4</sub></font>,<font color="Olive">b<sub>3</sub></font></span><a href="finseq_4.html#K3">*&gt;</a></span></span><a href="tarski.html#K4">]</a></span> where B is    <a href="subset_1.html#M2">Element</a> of  <a href="gr_cy_1.html#K1">Segm</a> 13, B is    <a href="subset_1.html#M2">Element</a> of  <a href="scmfsa_1.html#K1" target="_self">SCM+FSA-Data-Loc</a> , B is    <a href="subset_1.html#M2">Element</a> of  <a href="scmfsa_1.html#K1" target="_self">SCM+FSA-Data-Loc</a> , B is    <a href="subset_1.html#M2">Element</a> of  <a href="scmfsa_1.html#K2" target="_self">SCM+FSA-Data*-Loc</a>  : <font color="Olive">b<sub>1</sub></font> <a href="hidden.html#R2">in</a> <span class="p1"><a href="tarski.html#K2">{</a><span class="default">9,10</span><a href="tarski.html#K2">}</a></span> </span>}</span>  <a href="tarski.html#R1">c=</a> <span class="p1"><a href="zfmisc_1.html#K2">[:</a><span class="default"><span class="p2">(<span class="default"><a href="gr_cy_1.html#K1">Segm</a> 13</span>)</span>,<span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><a href="tarski.html#K3">union</a> <span class="p5"><a href="tarski.html#K2">{</a><span class="default"><a href="numbers.html#K4">INT</a> ,<span class="p0">(<span class="default"><a href="numbers.html#K4">INT</a>  <a href="finseq_1.html#K13">*</a> </span>)</span></span><a href="tarski.html#K2">}</a></span></span>)</span> <a href="xboole_0.html#K2">\/</a> <a href="numbers.html#K4">INT</a> </span>)</span> <a href="finseq_1.html#K13">*</a> </span>)</span></span><a href="zfmisc_1.html#K2">:]</a></span>
 
<div><a class="txt" onclick="hs2(this)" href="javascript:()" title="3_1_1_1"><b>proof </b></a><div class="add">

<b>let </b><font color="Maroon">c<sub>1</sub></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="E1:3_1_1_1"/>
<font color="Maroon">c<sub>1</sub></font> <a href="hidden.html#R2">in</a> <span class="p1">{<span class="default"> <span class="p2"><a href="tarski.html#K4">[</a><span class="default"><font color="Olive">b<sub>1</sub></font>,<span class="p3"><a href="finseq_4.html#K3">&lt;*</a><span class="default"><font color="Olive">b<sub>2</sub></font>,<font color="Olive">b<sub>4</sub></font>,<font color="Olive">b<sub>3</sub></font></span><a href="finseq_4.html#K3">*&gt;</a></span></span><a href="tarski.html#K4">]</a></span> where B is    <a href="subset_1.html#M2">Element</a> of  <a href="gr_cy_1.html#K1">Segm</a> 13, B is    <a href="subset_1.html#M2">Element</a> of  <a href="scmfsa_1.html#K1" target="_self">SCM+FSA-Data-Loc</a> , B is    <a href="subset_1.html#M2">Element</a> of  <a href="scmfsa_1.html#K1" target="_self">SCM+FSA-Data-Loc</a> , B is    <a href="subset_1.html#M2">Element</a> of  <a href="scmfsa_1.html#K2" target="_self">SCM+FSA-Data*-Loc</a>  : <font color="Olive">b<sub>1</sub></font> <a href="hidden.html#R2">in</a> <span class="p1"><a href="tarski.html#K2">{</a><span class="default">9,10</span><a href="tarski.html#K2">}</a></span> </span>}</span> 
 ;<br/>

<b>then consider </b><font color="Maroon">c<sub>2</sub></font> being    <a href="subset_1.html#M2">Element</a> of  <a href="gr_cy_1.html#K1">Segm</a> 13, <font color="Maroon">c<sub>3</sub></font>, <font color="Maroon">c<sub>4</sub></font> being    <a href="subset_1.html#M2">Element</a> of  <a href="scmfsa_1.html#K1" target="_self">SCM+FSA-Data-Loc</a> , <font color="Maroon">c<sub>5</sub></font> being    <a href="subset_1.html#M2">Element</a> of  <a href="scmfsa_1.html#K2" target="_self">SCM+FSA-Data*-Loc</a> <b> such that </b><br/><a NAME="E3:3_1_1_1"/><i><font color="Green">E3</font></i>: 
( <font color="Maroon">c<sub>1</sub></font> <a href="hidden.html#R1">=</a> <span class="p1"><a href="tarski.html#K4">[</a><span class="default"><font color="Maroon">c<sub>2</sub></font>,<span class="p2"><a href="finseq_4.html#K3">&lt;*</a><span class="default"><font color="Maroon">c<sub>3</sub></font>,<font color="Maroon">c<sub>5</sub></font>,<font color="Maroon">c<sub>4</sub></font></span><a href="finseq_4.html#K3">*&gt;</a></span></span><a href="tarski.html#K4">]</a></span> &amp; <font color="Maroon">c<sub>2</sub></font> <a href="hidden.html#R2">in</a> <span class="p1"><a href="tarski.html#K2">{</a><span class="default">9,10</span><a href="tarski.html#K2">}</a></span> )
 ;<br/>
<b>reconsider </b><font color="Maroon">c<sub>6</sub></font> = <font color="Maroon">c<sub>3</sub></font>, <font color="Maroon">c<sub>7</sub></font> = <font color="Maroon">c<sub>5</sub></font>, <font color="Maroon">c<sub>8</sub></font> = <font color="Maroon">c<sub>4</sub></font> as    <a href="subset_1.html#M1">Element</a> of <span class="p1">(<span class="default"><a href="tarski.html#K3">union</a> <span class="p2"><a href="tarski.html#K2">{</a><span class="default"><a href="numbers.html#K4">INT</a> ,<span class="p3">(<span class="default"><a href="numbers.html#K4">INT</a>  <a href="finseq_1.html#K13">*</a> </span>)</span></span><a href="tarski.html#K2">}</a></span></span>)</span> <a href="xboole_0.html#K2">\/</a> <a href="numbers.html#K4">INT</a>  <b>by </b><i><a class="txt" href="scmfsa_1.html#E1:3_1_1"><i><font color="Green">E1</font></i></a>, <a class="ref" href="tarski.html#D3">TARSKI:def 3</a></i>;<br/>
<a NAME="E5:3_1_1_1"/>
<span class="p1"><a href="finseq_4.html#K3">&lt;*</a><span class="default"><font color="Maroon">c<sub>6</sub></font>,<font color="Maroon">c<sub>7</sub></font>,<font color="Maroon">c<sub>8</sub></font></span><a href="finseq_4.html#K3">*&gt;</a></span> <a href="hidden.html#R2">in</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="tarski.html#K3">union</a> <span class="p3"><a href="tarski.html#K2">{</a><span class="default"><a href="numbers.html#K4">INT</a> ,<span class="p4">(<span class="default"><a href="numbers.html#K4">INT</a>  <a href="finseq_1.html#K13">*</a> </span>)</span></span><a href="tarski.html#K2">}</a></span></span>)</span> <a href="xboole_0.html#K2">\/</a> <a href="numbers.html#K4">INT</a> </span>)</span> <a href="finseq_1.html#K13">*</a> 
 
<b>by </b><i><a class="ref" href="finseq_1.html#D11">FINSEQ_1:def 11</a></i>;<br/>
<b>hence </b><a NAME="E6:3_1_1_1"/>
<font color="Maroon">c<sub>1</sub></font> <a href="hidden.html#R2">in</a> <span class="p1"><a href="zfmisc_1.html#K2">[:</a><span class="default"><span class="p2">(<span class="default"><a href="gr_cy_1.html#K1">Segm</a> 13</span>)</span>,<span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><a href="tarski.html#K3">union</a> <span class="p5"><a href="tarski.html#K2">{</a><span class="default"><a href="numbers.html#K4">INT</a> ,<span class="p0">(<span class="default"><a href="numbers.html#K4">INT</a>  <a href="finseq_1.html#K13">*</a> </span>)</span></span><a href="tarski.html#K2">}</a></span></span>)</span> <a href="xboole_0.html#K2">\/</a> <a href="numbers.html#K4">INT</a> </span>)</span> <a href="finseq_1.html#K13">*</a> </span>)</span></span><a href="zfmisc_1.html#K2">:]</a></span>
 <b>by </b><i><a class="txt" href="scmfsa_1.html#E3:3_1_1_1"><i><font color="Green">E3</font></i></a>, <a class="ref" href="zfmisc_1.html#T106">ZFMISC_1:106</a></i>;<br/>


</div><b>end;</b></div>
<a NAME="E3:3_1_1"/><i><font color="Green">E3</font></i>: 
<span class="p1">{<span class="default"> <span class="p2"><a href="tarski.html#K4">[</a><span class="default"><font color="Olive">b<sub>1</sub></font>,<span class="p3"><a href="finseq_4.html#K2">&lt;*</a><span class="default"><font color="Olive">b<sub>2</sub></font>,<font color="Olive">b<sub>3</sub></font></span><a href="finseq_4.html#K2">*&gt;</a></span></span><a href="tarski.html#K4">]</a></span> where B is    <a href="subset_1.html#M2">Element</a> of  <a href="gr_cy_1.html#K1">Segm</a> 13, B is    <a href="subset_1.html#M2">Element</a> of  <a href="scmfsa_1.html#K1" target="_self">SCM+FSA-Data-Loc</a> , B is    <a href="subset_1.html#M2">Element</a> of  <a href="scmfsa_1.html#K2" target="_self">SCM+FSA-Data*-Loc</a>  : <font color="Olive">b<sub>1</sub></font> <a href="hidden.html#R2">in</a> <span class="p1"><a href="tarski.html#K2">{</a><span class="default">11,12</span><a href="tarski.html#K2">}</a></span> </span>}</span>  <a href="tarski.html#R1">c=</a> <span class="p1"><a href="zfmisc_1.html#K2">[:</a><span class="default"><span class="p2">(<span class="default"><a href="gr_cy_1.html#K1">Segm</a> 13</span>)</span>,<span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><a href="tarski.html#K3">union</a> <span class="p5"><a href="tarski.html#K2">{</a><span class="default"><a href="numbers.html#K4">INT</a> ,<span class="p0">(<span class="default"><a href="numbers.html#K4">INT</a>  <a href="finseq_1.html#K13">*</a> </span>)</span></span><a href="tarski.html#K2">}</a></span></span>)</span> <a href="xboole_0.html#K2">\/</a> <a href="numbers.html#K4">INT</a> </span>)</span> <a href="finseq_1.html#K13">*</a> </span>)</span></span><a href="zfmisc_1.html#K2">:]</a></span>
 
<div><a class="txt" onclick="hs2(this)" href="javascript:()" title="3_1_1_2"><b>proof </b></a><div class="add">

<b>let </b><font color="Maroon">c<sub>1</sub></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="E1:3_1_1_2"/>
<font color="Maroon">c<sub>1</sub></font> <a href="hidden.html#R2">in</a> <span class="p1">{<span class="default"> <span class="p2"><a href="tarski.html#K4">[</a><span class="default"><font color="Olive">b<sub>1</sub></font>,<span class="p3"><a href="finseq_4.html#K2">&lt;*</a><span class="default"><font color="Olive">b<sub>2</sub></font>,<font color="Olive">b<sub>3</sub></font></span><a href="finseq_4.html#K2">*&gt;</a></span></span><a href="tarski.html#K4">]</a></span> where B is    <a href="subset_1.html#M2">Element</a> of  <a href="gr_cy_1.html#K1">Segm</a> 13, B is    <a href="subset_1.html#M2">Element</a> of  <a href="scmfsa_1.html#K1" target="_self">SCM+FSA-Data-Loc</a> , B is    <a href="subset_1.html#M2">Element</a> of  <a href="scmfsa_1.html#K2" target="_self">SCM+FSA-Data*-Loc</a>  : <font color="Olive">b<sub>1</sub></font> <a href="hidden.html#R2">in</a> <span class="p1"><a href="tarski.html#K2">{</a><span class="default">11,12</span><a href="tarski.html#K2">}</a></span> </span>}</span> 
 ;<br/>

<b>then consider </b><font color="Maroon">c<sub>2</sub></font> being    <a href="subset_1.html#M2">Element</a> of  <a href="gr_cy_1.html#K1">Segm</a> 13, <font color="Maroon">c<sub>3</sub></font> being    <a href="subset_1.html#M2">Element</a> of  <a href="scmfsa_1.html#K1" target="_self">SCM+FSA-Data-Loc</a> , <font color="Maroon">c<sub>4</sub></font> being    <a href="subset_1.html#M2">Element</a> of  <a href="scmfsa_1.html#K2" target="_self">SCM+FSA-Data*-Loc</a> <b> such that </b><br/><a NAME="E3:3_1_1_2"/><i><font color="Green">E4</font></i>: 
( <font color="Maroon">c<sub>1</sub></font> <a href="hidden.html#R1">=</a> <span class="p1"><a href="tarski.html#K4">[</a><span class="default"><font color="Maroon">c<sub>2</sub></font>,<span class="p2"><a href="finseq_4.html#K2">&lt;*</a><span class="default"><font color="Maroon">c<sub>3</sub></font>,<font color="Maroon">c<sub>4</sub></font></span><a href="finseq_4.html#K2">*&gt;</a></span></span><a href="tarski.html#K4">]</a></span> &amp; <font color="Maroon">c<sub>2</sub></font> <a href="hidden.html#R2">in</a> <span class="p1"><a href="tarski.html#K2">{</a><span class="default">11,12</span><a href="tarski.html#K2">}</a></span> )
 ;<br/>
<b>reconsider </b><font color="Maroon">c<sub>5</sub></font> = <font color="Maroon">c<sub>3</sub></font>, <font color="Maroon">c<sub>6</sub></font> = <font color="Maroon">c<sub>4</sub></font> as    <a href="subset_1.html#M1">Element</a> of <span class="p1">(<span class="default"><a href="tarski.html#K3">union</a> <span class="p2"><a href="tarski.html#K2">{</a><span class="default"><a href="numbers.html#K4">INT</a> ,<span class="p3">(<span class="default"><a href="numbers.html#K4">INT</a>  <a href="finseq_1.html#K13">*</a> </span>)</span></span><a href="tarski.html#K2">}</a></span></span>)</span> <a href="xboole_0.html#K2">\/</a> <a href="numbers.html#K4">INT</a>  <b>by </b><i><a class="txt" href="scmfsa_1.html#E1:3_1_1"><i><font color="Green">E1</font></i></a>, <a class="ref" href="tarski.html#D3">TARSKI:def 3</a></i>;<br/>
<a NAME="E5:3_1_1_2"/>
<span class="p1"><a href="finseq_4.html#K2">&lt;*</a><span class="default"><font color="Maroon">c<sub>5</sub></font>,<font color="Maroon">c<sub>6</sub></font></span><a href="finseq_4.html#K2">*&gt;</a></span> <a href="hidden.html#R2">in</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="tarski.html#K3">union</a> <span class="p3"><a href="tarski.html#K2">{</a><span class="default"><a href="numbers.html#K4">INT</a> ,<span class="p4">(<span class="default"><a href="numbers.html#K4">INT</a>  <a href="finseq_1.html#K13">*</a> </span>)</span></span><a href="tarski.html#K2">}</a></span></span>)</span> <a href="xboole_0.html#K2">\/</a> <a href="numbers.html#K4">INT</a> </span>)</span> <a href="finseq_1.html#K13">*</a> 
 
<b>by </b><i><a class="ref" href="finseq_1.html#D11">FINSEQ_1:def 11</a></i>;<br/>
<b>hence </b><a NAME="E6:3_1_1_2"/>
<font color="Maroon">c<sub>1</sub></font> <a href="hidden.html#R2">in</a> <span class="p1"><a href="zfmisc_1.html#K2">[:</a><span class="default"><span class="p2">(<span class="default"><a href="gr_cy_1.html#K1">Segm</a> 13</span>)</span>,<span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><a href="tarski.html#K3">union</a> <span class="p5"><a href="tarski.html#K2">{</a><span class="default"><a href="numbers.html#K4">INT</a> ,<span class="p0">(<span class="default"><a href="numbers.html#K4">INT</a>  <a href="finseq_1.html#K13">*</a> </span>)</span></span><a href="tarski.html#K2">}</a></span></span>)</span> <a href="xboole_0.html#K2">\/</a> <a href="numbers.html#K4">INT</a> </span>)</span> <a href="finseq_1.html#K13">*</a> </span>)</span></span><a href="zfmisc_1.html#K2">:]</a></span>
 <b>by </b><i><a class="txt" href="scmfsa_1.html#E3:3_1_1_2"><i><font color="Green">E4</font></i></a>, <a class="ref" href="zfmisc_1.html#T106">ZFMISC_1:106</a></i>;<br/>


</div><b>end;</b></div>
<a NAME="E4:3_1_1"/><i><font color="Green">E4</font></i>: 
 <a href="gr_cy_1.html#K1">Segm</a> 9 <a href="tarski.html#R1">c=</a>  <a href="gr_cy_1.html#K1">Segm</a> 13
 
<b>by </b><i><a class="ref" href="gr_cy_1.html#T51">GR_CY_1:51</a></i>;<br/>
<a NAME="E5:3_1_1"/>
<span class="p1"><a href="tarski.html#K1">{</a><span class="default"><a href="numbers.html#K4">INT</a> </span><a href="tarski.html#K1">}</a></span> <a href="tarski.html#R1">c=</a> <span class="p1"><a href="tarski.html#K2">{</a><span class="default"><a href="numbers.html#K4">INT</a> ,<span class="p2">(<span class="default"><a href="numbers.html#K4">INT</a>  <a href="finseq_1.html#K13">*</a> </span>)</span></span><a href="tarski.html#K2">}</a></span>
 
<b>by </b><i><a class="ref" href="zfmisc_1.html#T12">ZFMISC_1:12</a></i>;<br/>
<a NAME="E6:3_1_1"/><b>then </b>
 <a href="tarski.html#K3">union</a> <span class="p1"><a href="tarski.html#K1">{</a><span class="default"><a href="numbers.html#K4">INT</a> </span><a href="tarski.html#K1">}</a></span> <a href="tarski.html#R1">c=</a>  <a href="tarski.html#K3">union</a> <span class="p1"><a href="tarski.html#K2">{</a><span class="default"><a href="numbers.html#K4">INT</a> ,<span class="p2">(<span class="default"><a href="numbers.html#K4">INT</a>  <a href="finseq_1.html#K13">*</a> </span>)</span></span><a href="tarski.html#K2">}</a></span>
 
<b>by </b><i><a class="ref" href="zfmisc_1.html#T95">ZFMISC_1:95</a></i>;<br/>
<a NAME="E7:3_1_1"/><b>then </b>
<span class="p1">(<span class="default"><a href="tarski.html#K3">union</a> <span class="p2"><a href="tarski.html#K1">{</a><span class="default"><a href="numbers.html#K4">INT</a> </span><a href="tarski.html#K1">}</a></span></span>)</span> <a href="xboole_0.html#K2">\/</a> <a href="numbers.html#K5">NAT</a>  <a href="tarski.html#R1">c=</a> <span class="p1">(<span class="default"><a href="tarski.html#K3">union</a> <span class="p2"><a href="tarski.html#K2">{</a><span class="default"><a href="numbers.html#K4">INT</a> ,<span class="p3">(<span class="default"><a href="numbers.html#K4">INT</a>  <a href="finseq_1.html#K13">*</a> </span>)</span></span><a href="tarski.html#K2">}</a></span></span>)</span> <a href="xboole_0.html#K2">\/</a> <a href="numbers.html#K4">INT</a> 
 
<b>by </b><i><a class="ref" href="numbers.html#T17">NUMBERS:17</a>, <a class="ref" href="xboole_1.html#T13">XBOOLE_1:13</a></i>;<br/>
<a NAME="E8:3_1_1"/><b>then </b>
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="tarski.html#K3">union</a> <span class="p3"><a href="tarski.html#K1">{</a><span class="default"><a href="numbers.html#K4">INT</a> </span><a href="tarski.html#K1">}</a></span></span>)</span> <a href="xboole_0.html#K2">\/</a> <a href="numbers.html#K5">NAT</a> </span>)</span> <a href="finseq_1.html#K13">*</a>  <a href="tarski.html#R1">c=</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="tarski.html#K3">union</a> <span class="p3"><a href="tarski.html#K2">{</a><span class="default"><a href="numbers.html#K4">INT</a> ,<span class="p4">(<span class="default"><a href="numbers.html#K4">INT</a>  <a href="finseq_1.html#K13">*</a> </span>)</span></span><a href="tarski.html#K2">}</a></span></span>)</span> <a href="xboole_0.html#K2">\/</a> <a href="numbers.html#K4">INT</a> </span>)</span> <a href="finseq_1.html#K13">*</a> 
 
<b>by </b><i><a class="ref" href="finseq_1.html#T83">FINSEQ_1:83</a></i>;<br/>
<a NAME="E9:3_1_1"/><b>then </b>
<span class="p1"><a href="zfmisc_1.html#K2">[:</a><span class="default"><span class="p2">(<span class="default"><a href="gr_cy_1.html#K1">Segm</a> 9</span>)</span>,<span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><a href="tarski.html#K3">union</a> <span class="p5"><a href="tarski.html#K1">{</a><span class="default"><a href="numbers.html#K4">INT</a> </span><a href="tarski.html#K1">}</a></span></span>)</span> <a href="xboole_0.html#K2">\/</a> <a href="numbers.html#K5">NAT</a> </span>)</span> <a href="finseq_1.html#K13">*</a> </span>)</span></span><a href="zfmisc_1.html#K2">:]</a></span> <a href="tarski.html#R1">c=</a> <span class="p1"><a href="zfmisc_1.html#K2">[:</a><span class="default"><span class="p2">(<span class="default"><a href="gr_cy_1.html#K1">Segm</a> 13</span>)</span>,<span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><a href="tarski.html#K3">union</a> <span class="p5"><a href="tarski.html#K2">{</a><span class="default"><a href="numbers.html#K4">INT</a> ,<span class="p0">(<span class="default"><a href="numbers.html#K4">INT</a>  <a href="finseq_1.html#K13">*</a> </span>)</span></span><a href="tarski.html#K2">}</a></span></span>)</span> <a href="xboole_0.html#K2">\/</a> <a href="numbers.html#K4">INT</a> </span>)</span> <a href="finseq_1.html#K13">*</a> </span>)</span></span><a href="zfmisc_1.html#K2">:]</a></span>
 
<b>by </b><i><a class="txt" href="scmfsa_1.html#E4:3_1_1"><i><font color="Green">E4</font></i></a>, <a class="ref" href="zfmisc_1.html#T119">ZFMISC_1:119</a></i>;<br/>
<a NAME="E10:3_1_1"/><b>then </b>
 <a href="ami_2.html#K4">SCM-Instr</a>  <a href="tarski.html#R1">c=</a> <span class="p1"><a href="zfmisc_1.html#K2">[:</a><span class="default"><span class="p2">(<span class="default"><a href="gr_cy_1.html#K1">Segm</a> 13</span>)</span>,<span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><a href="tarski.html#K3">union</a> <span class="p5"><a href="tarski.html#K2">{</a><span class="default"><a href="numbers.html#K4">INT</a> ,<span class="p0">(<span class="default"><a href="numbers.html#K4">INT</a>  <a href="finseq_1.html#K13">*</a> </span>)</span></span><a href="tarski.html#K2">}</a></span></span>)</span> <a href="xboole_0.html#K2">\/</a> <a href="numbers.html#K4">INT</a> </span>)</span> <a href="finseq_1.html#K13">*</a> </span>)</span></span><a href="zfmisc_1.html#K2">:]</a></span>
 
<b>by </b><i><a class="ref" href="xboole_1.html#T1">XBOOLE_1:1</a></i>;<br/>
<a NAME="E11:3_1_1"/><b>then </b>
<a href="ami_2.html#K4">SCM-Instr</a>  <a href="xboole_0.html#K2">\/</a> <span class="p1">{<span class="default"> <span class="p2"><a href="tarski.html#K4">[</a><span class="default"><font color="Olive">b<sub>1</sub></font>,<span class="p3"><a href="finseq_4.html#K3">&lt;*</a><span class="default"><font color="Olive">b<sub>2</sub></font>,<font color="Olive">b<sub>4</sub></font>,<font color="Olive">b<sub>3</sub></font></span><a href="finseq_4.html#K3">*&gt;</a></span></span><a href="tarski.html#K4">]</a></span> where B is    <a href="subset_1.html#M2">Element</a> of  <a href="gr_cy_1.html#K1">Segm</a> 13, B is    <a href="subset_1.html#M2">Element</a> of  <a href="scmfsa_1.html#K1" target="_self">SCM+FSA-Data-Loc</a> , B is    <a href="subset_1.html#M2">Element</a> of  <a href="scmfsa_1.html#K1" target="_self">SCM+FSA-Data-Loc</a> , B is    <a href="subset_1.html#M2">Element</a> of  <a href="scmfsa_1.html#K2" target="_self">SCM+FSA-Data*-Loc</a>  : <font color="Olive">b<sub>1</sub></font> <a href="hidden.html#R2">in</a> <span class="p1"><a href="tarski.html#K2">{</a><span class="default">9,10</span><a href="tarski.html#K2">}</a></span> </span>}</span>  <a href="tarski.html#R1">c=</a> <span class="p1"><a href="zfmisc_1.html#K2">[:</a><span class="default"><span class="p2">(<span class="default"><a href="gr_cy_1.html#K1">Segm</a> 13</span>)</span>,<span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><a href="tarski.html#K3">union</a> <span class="p5"><a href="tarski.html#K2">{</a><span class="default"><a href="numbers.html#K4">INT</a> ,<span class="p0">(<span class="default"><a href="numbers.html#K4">INT</a>  <a href="finseq_1.html#K13">*</a> </span>)</span></span><a href="tarski.html#K2">}</a></span></span>)</span> <a href="xboole_0.html#K2">\/</a> <a href="numbers.html#K4">INT</a> </span>)</span> <a href="finseq_1.html#K13">*</a> </span>)</span></span><a href="zfmisc_1.html#K2">:]</a></span>
 
<b>by </b><i><a class="txt" href="scmfsa_1.html#E2:3_1_1"><i><font color="Green">E2</font></i></a>, <a class="ref" href="xboole_1.html#T8">XBOOLE_1:8</a></i>;<br/>
<b>hence </b><a NAME="E12:3_1_1"/>
<span class="p1">(<span class="default"><a href="ami_2.html#K4">SCM-Instr</a>  <a href="xboole_0.html#K2">\/</a> <span class="p2">{<span class="default"> <span class="p3"><a href="tarski.html#K4">[</a><span class="default"><font color="Olive">b<sub>1</sub></font>,<span class="p4"><a href="finseq_4.html#K3">&lt;*</a><span class="default"><font color="Olive">b<sub>2</sub></font>,<font color="Olive">b<sub>4</sub></font>,<font color="Olive">b<sub>3</sub></font></span><a href="finseq_4.html#K3">*&gt;</a></span></span><a href="tarski.html#K4">]</a></span> where B is    <a href="subset_1.html#M2">Element</a> of  <a href="gr_cy_1.html#K1">Segm</a> 13, B is    <a href="subset_1.html#M2">Element</a> of  <a href="scmfsa_1.html#K1" target="_self">SCM+FSA-Data-Loc</a> , B is    <a href="subset_1.html#M2">Element</a> of  <a href="scmfsa_1.html#K1" target="_self">SCM+FSA-Data-Loc</a> , B is    <a href="subset_1.html#M2">Element</a> of  <a href="scmfsa_1.html#K2" target="_self">SCM+FSA-Data*-Loc</a>  : <font color="Olive">b<sub>1</sub></font> <a href="hidden.html#R2">in</a> <span class="p1"><a href="tarski.html#K2">{</a><span class="default">9,10</span><a href="tarski.html#K2">}</a></span> </span>}</span> </span>)</span> <a href="xboole_0.html#K2">\/</a> <span class="p1">{<span class="default"> <span class="p2"><a href="tarski.html#K4">[</a><span class="default"><font color="Olive">b<sub>1</sub></font>,<span class="p3"><a href="finseq_4.html#K2">&lt;*</a><span class="default"><font color="Olive">b<sub>2</sub></font>,<font color="Olive">b<sub>3</sub></font></span><a href="finseq_4.html#K2">*&gt;</a></span></span><a href="tarski.html#K4">]</a></span> where B is    <a href="subset_1.html#M2">Element</a> of  <a href="gr_cy_1.html#K1">Segm</a> 13, B is    <a href="subset_1.html#M2">Element</a> of  <a href="scmfsa_1.html#K1" target="_self">SCM+FSA-Data-Loc</a> , B is    <a href="subset_1.html#M2">Element</a> of  <a href="scmfsa_1.html#K2" target="_self">SCM+FSA-Data*-Loc</a>  : <font color="Olive">b<sub>1</sub></font> <a href="hidden.html#R2">in</a> <span class="p1"><a href="tarski.html#K2">{</a><span class="default">11,12</span><a href="tarski.html#K2">}</a></span> </span>}</span>  is   <a href="subset_1.html#NM2">Subset</a> of <span class="p1"><a href="zfmisc_1.html#K2">[:</a><span class="default"><span class="p2">(<span class="default"><a href="gr_cy_1.html#K1">Segm</a> 13</span>)</span>,<span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><a href="tarski.html#K3">union</a> <span class="p5"><a href="tarski.html#K2">{</a><span class="default"><a href="numbers.html#K4">INT</a> ,<span class="p0">(<span class="default"><a href="numbers.html#K4">INT</a>  <a href="finseq_1.html#K13">*</a> </span>)</span></span><a href="tarski.html#K2">}</a></span></span>)</span> <a href="xboole_0.html#K2">\/</a> <a href="numbers.html#K4">INT</a> </span>)</span> <a href="finseq_1.html#K13">*</a> </span>)</span></span><a href="zfmisc_1.html#K2">:]</a></span>
 <b>by </b><i><a class="txt" href="scmfsa_1.html#E3:3_1_1"><i><font color="Green">E3</font></i></a>, <a class="ref" href="xboole_1.html#T8">XBOOLE_1:8</a></i>;<br/>


</div>
