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<b>let </b><font color="Maroon">c<sub>1</sub></font> be  non <a href="xboole_0.html#V1">empty</a> <a href="struct_0.html#NM8">FinSequence</a> of <span class="p1">(<span class="default"><a href="euclid.html#K15">TOP-REAL</a> 2</span>)</span>;<br/><b>let </b><font color="Maroon">c<sub>2</sub></font> be   <a href="pre_topc.html#NM2">Point</a> of <span class="p1">(<span class="default"><a href="euclid.html#K15">TOP-REAL</a> 2</span>)</span>;<br/>



<b>assume </b><b>that </b><br/><a NAME="E1:62"/><i><font color="Green">E34</font></i>: 
( <font color="Maroon">c<sub>1</sub></font> is <a href="jordan23.html#V1" target="_self">almost-one-to-one</a> &amp; <font color="Maroon">c<sub>1</sub></font> is <a href="topreal1.html#V1">special</a> &amp; <font color="Maroon">c<sub>1</sub></font> is <a href="topreal1.html#V2">unfolded</a> &amp; <font color="Maroon">c<sub>1</sub></font> is <a href="topreal1.html#V3">s.n.c.</a> )
 <b>and </b><br/><a NAME="E2:62"/><i><font color="Green">E35</font></i>: 
( <font color="Maroon">c<sub>2</sub></font> <a href="hidden.html#R2">in</a>  <a href="topreal1.html#K5">L~</a> <font color="Maroon">c<sub>1</sub></font> &amp; <font color="Maroon">c<sub>2</sub></font> <a href="hidden.html#NR2" target="_self">&lt;&gt;</a> <font color="Maroon">c<sub>1</sub></font> <a href="funct_1.html#K1">.</a> <span class="p1">(<span class="default"><a href="finseq_1.html#K3">len</a> <font color="Maroon">c<sub>1</sub></font></span>)</span> )
 <b>and </b><br/><a NAME="E3:62"/><i><font color="Green">E36</font></i>: 
<font color="Maroon">c<sub>2</sub></font> <a href="hidden.html#NR2" target="_self">&lt;&gt;</a> <font color="Maroon">c<sub>1</sub></font> <a href="funct_1.html#K1">.</a> 1
 ;<br/>

<a NAME="E4:62"/>
<font color="Maroon">c<sub>2</sub></font> <a href="hidden.html#NR2" target="_self">&lt;&gt;</a> <span class="p1">(<span class="default"><a href="finseq_5.html#K4">Rev</a> <font color="Maroon">c<sub>1</sub></font></span>)</span> <a href="funct_1.html#K1">.</a> <span class="p1">(<span class="default"><a href="finseq_1.html#K3">len</a> <font color="Maroon">c<sub>1</sub></font></span>)</span>
 
<b>by </b><i><a class="txt" href="jordan23.html#E3:62"><i><font color="Green">E36</font></i></a>, <a class="ref" href="finseq_5.html#T65">FINSEQ_5:65</a></i>;<br/>
<a NAME="E5:62"/><b>then </b><i><font color="Green">E37</font></i>: 
<font color="Maroon">c<sub>2</sub></font> <a href="hidden.html#NR2" target="_self">&lt;&gt;</a> <span class="p1">(<span class="default"><a href="finseq_5.html#K4">Rev</a> <font color="Maroon">c<sub>1</sub></font></span>)</span> <a href="funct_1.html#K1">.</a> <span class="p1">(<span class="default"><a href="finseq_1.html#K3">len</a> <span class="p2">(<span class="default"><a href="finseq_5.html#K4">Rev</a> <font color="Maroon">c<sub>1</sub></font></span>)</span></span>)</span>
 
<b>by </b><i><a class="ref" href="finseq_5.html#D3">FINSEQ_5:def 3</a></i>;<br/>
<a NAME="E6:62"/><i><font color="Green">E38</font></i>: 
 <a href="finseq_5.html#K4">Rev</a> <font color="Maroon">c<sub>1</sub></font> is  <a href="jordan23.html#V1" target="_self">almost-one-to-one</a> <a href="finseq_1.html#NM1">FinSequence</a>
 
<b>by </b><i><a class="txt" href="jordan23.html#E1:62"><i><font color="Green">E34</font></i></a>, <a class="ref" href="jordan23.html#T8" target="_self">Th8</a></i>;<br/>
<a NAME="E7:62"/><i><font color="Green">E39</font></i>: 
 <a href="finseq_5.html#K4">Rev</a> <font color="Maroon">c<sub>1</sub></font> is <a href="topreal1.html#V1">special</a>
 
<b>by </b><i><a class="txt" href="jordan23.html#E1:62"><i><font color="Green">E34</font></i></a>, <a class="ref" href="sppol_2.html#T42">SPPOL_2:42</a></i>;<br/>
<a NAME="E8:62"/><i><font color="Green">E40</font></i>: 
 <a href="finseq_5.html#K4">Rev</a> <font color="Maroon">c<sub>1</sub></font> is <a href="topreal1.html#V2">unfolded</a>
 
<b>by </b><i><a class="txt" href="jordan23.html#E1:62"><i><font color="Green">E34</font></i></a>, <a class="ref" href="sppol_2.html#T29">SPPOL_2:29</a></i>;<br/>
<a NAME="E9:62"/><i><font color="Green">E41</font></i>: 
 <a href="finseq_5.html#K4">Rev</a> <font color="Maroon">c<sub>1</sub></font> is <a href="topreal1.html#V3">s.n.c.</a>
 
<b>by </b><i><a class="txt" href="jordan23.html#E1:62"><i><font color="Green">E34</font></i></a>, <a class="ref" href="sppol_2.html#T36">SPPOL_2:36</a></i>;<br/>
<a NAME="E10:62"/><i><font color="Green">E42</font></i>: 
<font color="Maroon">c<sub>2</sub></font> <a href="hidden.html#R2">in</a>  <a href="topreal1.html#K5">L~</a> <span class="p1">(<span class="default"><a href="finseq_5.html#K4">Rev</a> <font color="Maroon">c<sub>1</sub></font></span>)</span>
 
<b>by </b><i><a class="txt" href="jordan23.html#E2:62"><i><font color="Green">E35</font></i></a>, <a class="ref" href="sppol_2.html#T22">SPPOL_2:22</a></i>;<br/>
<i><font color="Green">E43</font></i>:  <a href="jordan3.html#K3">L_Cut</a> <font color="Maroon">c<sub>1</sub></font>,<font color="Maroon">c<sub>2</sub></font> = 
 <a href="jordan3.html#K3">L_Cut</a> <span class="p1">(<span class="default"><a href="finseq_5.html#K4">Rev</a> <span class="p2">(<span class="default"><a href="finseq_5.html#K4">Rev</a> <font color="Maroon">c<sub>1</sub></font></span>)</span></span>)</span>,<font color="Maroon">c<sub>2</sub></font>
<b>by </b><i><a class="ref" href="finseq_6.html#T29">FINSEQ_6:29</a></i>
<br/>.= 
 <a href="finseq_5.html#K4">Rev</a> <span class="p1">(<span class="default"><a href="jordan3.html#K4">R_Cut</a> <span class="p2">(<span class="default"><a href="finseq_5.html#K4">Rev</a> <font color="Maroon">c<sub>1</sub></font></span>)</span>,<font color="Maroon">c<sub>2</sub></font></span>)</span>
<b>by </b><i><a class="txt" href="jordan23.html#E5:62"><i><font color="Green">E37</font></i></a>, <a class="txt" href="jordan23.html#E6:62"><i><font color="Green">E38</font></i></a>, <a class="txt" href="jordan23.html#E8:62"><i><font color="Green">E40</font></i></a>, <a class="txt" href="jordan23.html#E9:62"><i><font color="Green">E41</font></i></a>, <a class="txt" href="jordan23.html#E10:62"><i><font color="Green">E42</font></i></a>, <a class="ref" href="jordan23.html#T38" target="_self">Th38</a></i>
;<br/>
<a NAME="E12:62"/>
<font color="Maroon">c<sub>2</sub></font> <a href="hidden.html#NR2" target="_self">&lt;&gt;</a> <span class="p1">(<span class="default"><a href="finseq_5.html#K4">Rev</a> <font color="Maroon">c<sub>1</sub></font></span>)</span> <a href="funct_1.html#K1">.</a> 1
 
<b>by </b><i><a class="txt" href="jordan23.html#E2:62"><i><font color="Green">E35</font></i></a>, <a class="ref" href="finseq_5.html#T65">FINSEQ_5:65</a></i>;<br/>
<a NAME="E13:62"/><b>then </b>
 <a href="jordan3.html#K4">R_Cut</a> <span class="p1">(<span class="default"><a href="finseq_5.html#K4">Rev</a> <font color="Maroon">c<sub>1</sub></font></span>)</span>,<font color="Maroon">c<sub>2</sub></font> <a href="jordan3.html#R1">is_S-Seq_joining</a> <span class="p1">(<span class="default"><a href="finseq_5.html#K4">Rev</a> <font color="Maroon">c<sub>1</sub></font></span>)</span> <a href="finseq_4.html#K4">/.</a> 1,<font color="Maroon">c<sub>2</sub></font>
 
<b>by </b><i><a class="txt" href="jordan23.html#E6:62"><i><font color="Green">E38</font></i></a>, <a class="txt" href="jordan23.html#E7:62"><i><font color="Green">E39</font></i></a>, <a class="txt" href="jordan23.html#E8:62"><i><font color="Green">E40</font></i></a>, <a class="txt" href="jordan23.html#E9:62"><i><font color="Green">E41</font></i></a>, <a class="txt" href="jordan23.html#E10:62"><i><font color="Green">E42</font></i></a>, <a class="ref" href="jordan23.html#T39" target="_self">Th39</a></i>;<br/>
<a NAME="E14:62"/><b>then </b>
 <a href="jordan3.html#K3">L_Cut</a> <font color="Maroon">c<sub>1</sub></font>,<font color="Maroon">c<sub>2</sub></font> <a href="jordan3.html#R1">is_S-Seq_joining</a> <font color="Maroon">c<sub>2</sub></font>,<span class="p1">(<span class="default"><a href="finseq_5.html#K4">Rev</a> <font color="Maroon">c<sub>1</sub></font></span>)</span> <a href="finseq_4.html#K4">/.</a> 1
 
<b>by </b><i><a class="txt" href="jordan23.html#E11:62"><i><font color="Green">E43</font></i></a>, <a class="ref" href="jordan3.html#T48">JORDAN3:48</a></i>;<br/>
<b>hence </b><a NAME="E15:62"/>
 <a href="jordan3.html#K3">L_Cut</a> <font color="Maroon">c<sub>1</sub></font>,<font color="Maroon">c<sub>2</sub></font> <a href="jordan3.html#R1">is_S-Seq_joining</a> <font color="Maroon">c<sub>2</sub></font>,<font color="Maroon">c<sub>1</sub></font> <a href="finseq_4.html#K4">/.</a> <span class="p1">(<span class="default"><a href="finseq_1.html#K3">len</a> <font color="Maroon">c<sub>1</sub></font></span>)</span>
 <b>by </b><i><a class="ref" href="finseq_5.html#T68">FINSEQ_5:68</a></i>;<br/>


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