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

<b>let </b><font color="Maroon" title="c1">r</font>, <font color="Maroon" title="c2">s</font> be  <a href="xreal_0.html#V1" title="XREAL_0:attr.1">real</a>  <a href="ordinal1.html#NM1" title="ORDINAL1:NM.1">number</a> ;<br/><b>let </b><font color="Maroon" title="c3">n</font> be  <a href="ordinal1.html#V7" title="ORDINAL1:attr.7">natural</a>  <a href="ordinal1.html#NM1" title="ORDINAL1:NM.1">number</a> ;<br/><b>let </b><font color="Maroon" title="c4">F</font> be   <a href="struct_0.html#NM3" title="STRUCT_0:NM.3">Subset-Family</a> of <span class="p1">(<span class="default"><a href="topmetr.html#K4" title="TOPMETR:func.4">Closed-Interval-TSpace</a> <font color="Maroon" title="c1">r</font>,<font color="Maroon" title="c2">s</font></span>)</span>;<br/><b>let </b><font color="Maroon" title="c5">C</font> be    <a href="rcomp_3.html#M1" title="RCOMP_3:mode.1">IntervalCover</a> of <font color="Maroon" title="c4">F</font>;<br/><b>let </b><font color="Maroon" title="c6">G</font> be    <a href="rcomp_3.html#M2" title="RCOMP_3:mode.2">IntervalCoverPts</a> of <font color="Maroon" title="c5">C</font>;<br/>











<b>set </b><font color="Maroon" title="c7">L</font> =  <a href="topmetr.html#K4" title="TOPMETR:func.4">Closed-Interval-TSpace</a> <font color="Maroon" title="c1">r</font>,<font color="Maroon" title="c2">s</font>;<br/>
<b>assume </b><b>that </b><br/><a NAME="E1:102"/><i><font color="Green" title="E72">A1</font></i>: 
<font color="Maroon" title="c4">F</font> <a href="pre_topc.html#R1" title="PRE_TOPC:pred.1">is_a_cover_of</a>  <a href="topmetr.html#K4" title="TOPMETR:func.4">Closed-Interval-TSpace</a> <font color="Maroon" title="c1">r</font>,<font color="Maroon" title="c2">s</font>
 <b>and </b><br/><a NAME="E2:102"/><i><font color="Green" title="E73">A2</font></i>: 
<font color="Maroon" title="c4">F</font> is <a href="tops_2.html#V1" title="TOPS_2:attr.1">open</a>
 <b>and </b><br/><a NAME="E3:102"/><i><font color="Green" title="E74">A3</font></i>: 
<font color="Maroon" title="c4">F</font> is <a href="rcomp_3.html#V1" title="RCOMP_3:attr.1">connected</a>
 <b>and </b><br/><a NAME="E4:102"/><i><font color="Green" title="E75">A4</font></i>: 
<font color="Maroon" title="c1">r</font> <a href="xxreal_0.html#R1" title="XXREAL_0:pred.1">&lt;=</a> <font color="Maroon" title="c2">s</font>
 <b>and </b><br/><a NAME="E5:102"/><i><font color="Green" title="E76">A5</font></i>: 
1 <a href="xxreal_0.html#R1" title="XXREAL_0:pred.1">&lt;=</a> <font color="Maroon" title="c3">n</font>
 <b>and </b><br/><a NAME="E6:102"/><i><font color="Green" title="E77">A6</font></i>: 
<font color="Maroon" title="c3">n</font> <a href="xxreal_0.html#R1" title="XXREAL_0:pred.1">&lt;</a>  <a href="finseq_1.html#K3" title="FINSEQ_1:func.3">len</a> <font color="Maroon" title="c6">G</font>
 ;<br/>

<a NAME="E7:102"/><i><font color="Green" title="E78">A7</font></i>: 
<font color="Maroon" title="c3">n</font> <a href="xcmplx_0.html#K2" title="XCMPLX_0:func.2">+</a> 1 <a href="xxreal_0.html#R1" title="XXREAL_0:pred.1">&lt;=</a>  <a href="finseq_1.html#K3" title="FINSEQ_1:func.3">len</a> <font color="Maroon" title="c6">G</font>
 
<b>by </b><i><a class="txt" href="rcomp_3.html#E6:102"><i><font color="Green" title="E77">A6</font></i></a>, <a class="ref" href="nat_1.html#T13" title="NAT_1:th.13">NAT_1:13</a></i>;<br/>
<a NAME="E8:102"/><i><font color="Green" title="E79">A8</font></i>: 
<font color="Maroon" title="c3">n</font> is    <a href="subset_1.html#M2" title="SUBSET_1:mode.2">Element</a> of  <a href="numbers.html#K5" title="NUMBERS:func.5">NAT</a> 
 
<b>by </b><i><a class="ref" href="ordinal1.html#D13" title="ORDINAL1:def.13">ORDINAL1:def 13</a></i>;<br/>
<a NAME="E9:102"/><i><font color="Green" title="E80">A9</font></i>: 
<font color="Maroon" title="c3">n</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a>  <a href="finseq_1.html#K4" title="FINSEQ_1:func.4">dom</a> <font color="Maroon" title="c6">G</font>
 
<b>by </b><i><a class="txt" href="rcomp_3.html#E5:102"><i><font color="Green" title="E76">A5</font></i></a>, <a class="txt" href="rcomp_3.html#E6:102"><i><font color="Green" title="E77">A6</font></i></a>, <a class="ref" href="finseq_3.html#T27" title="FINSEQ_3:th.27">FINSEQ_3:27</a></i>;<br/>
<a NAME="E10:102"/>
0 <a href="nat_1.html#K1" title="NAT_1:func.1">+</a> 1 <a href="xxreal_0.html#R1" title="XXREAL_0:pred.1">&lt;=</a> <font color="Maroon" title="c3">n</font> <a href="xcmplx_0.html#K2" title="XCMPLX_0:func.2">+</a> 1
 
<b>by </b><i><a class="ref" href="xreal_1.html#T8" title="XREAL_1:th.8">XREAL_1:8</a></i>;<br/>
<a NAME="E11:102"/><b>then </b><i><font color="Green" title="E81">A10</font></i>: 
<font color="Maroon" title="c3">n</font> <a href="xcmplx_0.html#K2" title="XCMPLX_0:func.2">+</a> 1 <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a>  <a href="finseq_1.html#K4" title="FINSEQ_1:func.4">dom</a> <font color="Maroon" title="c6">G</font>
 
<b>by </b><i><a class="txt" href="rcomp_3.html#E7:102"><i><font color="Green" title="E78">A7</font></i></a>, <a class="ref" href="finseq_3.html#T27" title="FINSEQ_3:th.27">FINSEQ_3:27</a></i>;<br/>
<a NAME="E12:102"/><i><font color="Green" title="E82">A11</font></i>: 
 <a href="finseq_1.html#K3" title="FINSEQ_1:func.3">len</a> <font color="Maroon" title="c6">G</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default"><a href="finseq_1.html#K3" title="FINSEQ_1:func.3">len</a> <font color="Maroon" title="c5">C</font></span>)</span> <a href="nat_1.html#K1" title="NAT_1:func.1">+</a> 1
 
<b>by </b><i><a class="txt" href="rcomp_3.html#E1:102"><i><font color="Green" title="E72">A1</font></i></a>, <a class="txt" href="rcomp_3.html#E2:102"><i><font color="Green" title="E73">A2</font></i></a>, <a class="txt" href="rcomp_3.html#E4:102"><i><font color="Green" title="E75">A4</font></i></a>, <a class="ref" href="rcomp_3.html#D3" target="_self" title="RCOMP_3:def.3">Def3</a>, <a class="txt" href="rcomp_3.html#E3:102"><i><font color="Green" title="E74">A3</font></i></a></i>;<br/>
<a NAME="E13:102"/><b>then </b><i><font color="Green" title="E83">A12</font></i>: 
<font color="Maroon" title="c3">n</font> <a href="xxreal_0.html#R1" title="XXREAL_0:pred.1">&lt;=</a>  <a href="finseq_1.html#K3" title="FINSEQ_1:func.3">len</a> <font color="Maroon" title="c5">C</font>
 
<b>by </b><i><a class="txt" href="rcomp_3.html#E6:102"><i><font color="Green" title="E77">A6</font></i></a>, <a class="ref" href="nat_1.html#T13" title="NAT_1:th.13">NAT_1:13</a></i>;<br/>
<a NAME="E14:102"/><b>then </b><i><font color="Green" title="E84">A13</font></i>: 
<font color="Maroon" title="c5">C</font> <a href="finseq_4.html#K4" title="FINSEQ_4:func.4">/.</a> <font color="Maroon" title="c3">n</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c5">C</font> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Maroon" title="c3">n</font>
 
<b>by </b><i><a class="txt" href="rcomp_3.html#E5:102"><i><font color="Green" title="E76">A5</font></i></a>, <a class="txt" href="rcomp_3.html#E8:102"><i><font color="Green" title="E79">A8</font></i></a>, <a class="ref" href="finseq_4.html#T24" title="FINSEQ_4:th.24">FINSEQ_4:24</a></i>;<br/>
<a NAME="E15:102"/>
<font color="Maroon" title="c3">n</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a>  <a href="finseq_1.html#K4" title="FINSEQ_1:func.4">dom</a> <font color="Maroon" title="c5">C</font>
 
<b>by </b><i><a class="txt" href="rcomp_3.html#E5:102"><i><font color="Green" title="E76">A5</font></i></a>, <a class="txt" href="rcomp_3.html#E13:102"><i><font color="Green" title="E83">A12</font></i></a>, <a class="ref" href="finseq_3.html#T27" title="FINSEQ_3:th.27">FINSEQ_3:27</a></i>;<br/>
<a NAME="E16:102"/><b>then </b><i><font color="Green" title="E85">A14</font></i>: 
<font color="Maroon" title="c5">C</font> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Maroon" title="c3">n</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a>  <a href="relset_1.html#K5" title="RELSET_1:func.5">rng</a> <font color="Maroon" title="c5">C</font>
 
<b>by </b><i><a class="ref" href="funct_1.html#D5" title="FUNCT_1:def.5">FUNCT_1:def 5</a></i>;<br/>
<a NAME="E17:102"/>
 <a href="relset_1.html#K5" title="RELSET_1:func.5">rng</a> <font color="Maroon" title="c5">C</font> <a href="tarski.html#R1" title="TARSKI:pred.1">c=</a> <font color="Maroon" title="c4">F</font>
 
<b>by </b><i><a class="txt" href="rcomp_3.html#E3:102"><i><font color="Green" title="E74">A3</font></i></a>, <a class="txt" href="rcomp_3.html#E1:102"><i><font color="Green" title="E72">A1</font></i></a>, <a class="txt" href="rcomp_3.html#E2:102"><i><font color="Green" title="E73">A2</font></i></a>, <a class="txt" href="rcomp_3.html#E4:102"><i><font color="Green" title="E75">A4</font></i></a>, <a class="ref" href="rcomp_3.html#D2" target="_self" title="RCOMP_3:def.2">Def2</a></i>;<br/>
<a NAME="E18:102"/><b>then </b>
<font color="Maroon" title="c5">C</font> <a href="finseq_4.html#K4" title="FINSEQ_4:func.4">/.</a> <font color="Maroon" title="c3">n</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a> <font color="Maroon" title="c4">F</font>
 
<b>by </b><i><a class="txt" href="rcomp_3.html#E14:102"><i><font color="Green" title="E84">A13</font></i></a>, <a class="txt" href="rcomp_3.html#E16:102"><i><font color="Green" title="E85">A14</font></i></a></i>;<br/>
<a NAME="E19:102"/><b>then </b>
<font color="Maroon" title="c5">C</font> <a href="finseq_4.html#K4" title="FINSEQ_4:func.4">/.</a> <font color="Maroon" title="c3">n</font> is  <a href="connsp_1.html#V2" title="CONNSP_1:attr.2">connected</a> <a href="struct_0.html#NM2" title="STRUCT_0:NM.2">Subset</a> of <span class="p1">(<span class="default"><a href="topmetr.html#K4" title="TOPMETR:func.4">Closed-Interval-TSpace</a> <font color="Maroon" title="c1">r</font>,<font color="Maroon" title="c2">s</font></span>)</span>
 
<b>by </b><i><a class="txt" href="rcomp_3.html#E3:102"><i><font color="Green" title="E74">A3</font></i></a>, <a class="ref" href="rcomp_3.html#D1" target="_self" title="RCOMP_3:def.1">Def1</a></i>;<br/>
<a NAME="E20:102"/><b>then </b><i><font color="Green" title="E86">A15</font></i>: 
<font color="Maroon" title="c5">C</font> <a href="finseq_4.html#K4" title="FINSEQ_4:func.4">/.</a> <font color="Maroon" title="c3">n</font> is <a href="jct_misc.html#V1" title="JCT_MISC:attr.1">connected</a>
 
<b>by </b><i><a class="ref" href="rcomp_3.html#T56" target="_self" title="RCOMP_3:th.56">Th56</a></i>;<br/>
<a NAME="E21:102"/><i><font color="Green" title="E87">A16</font></i>: 
not <font color="Maroon" title="c5">C</font> <a href="finseq_4.html#K4" title="FINSEQ_4:func.4">/.</a> <font color="Maroon" title="c3">n</font> is <a href="xboole_0.html#V1" title="XBOOLE_0:attr.1">empty</a>
 
<b>by </b><i><a class="txt" href="rcomp_3.html#E3:102"><i><font color="Green" title="E74">A3</font></i></a>, <a class="txt" href="rcomp_3.html#E1:102"><i><font color="Green" title="E72">A1</font></i></a>, <a class="txt" href="rcomp_3.html#E2:102"><i><font color="Green" title="E73">A2</font></i></a>, <a class="txt" href="rcomp_3.html#E4:102"><i><font color="Green" title="E75">A4</font></i></a>, <a class="txt" href="rcomp_3.html#E5:102"><i><font color="Green" title="E76">A5</font></i></a>, <a class="txt" href="rcomp_3.html#E13:102"><i><font color="Green" title="E83">A12</font></i></a>, <a class="ref" href="rcomp_3.html#D2" target="_self" title="RCOMP_3:def.2">Def2</a></i>;<br/>
<a NAME="E22:102"/><i><font color="Green" title="E88">A17</font></i>: 
<font color="Maroon" title="c3">n</font> <a href="xcmplx_0.html#K2" title="XCMPLX_0:func.2">+</a> 0 <a href="xxreal_0.html#R1" title="XXREAL_0:pred.1">&lt;</a> <font color="Maroon" title="c3">n</font> <a href="xcmplx_0.html#K2" title="XCMPLX_0:func.2">+</a> 1
 
<b>by </b><i><a class="ref" href="xreal_1.html#T8" title="XREAL_1:th.8">XREAL_1:8</a></i>;<br/>
<div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="102_1"><b>per </b></a><a class="txt" onclick="hs(this)" href="javascript:()"><b>cases </b></a><span class="hide"><a NAME="E1:102_1"/>
( <font color="Maroon" title="c1">r</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c2">s</font> or <font color="Maroon" title="c1">r</font> <a href="xxreal_0.html#R1" title="XXREAL_0:pred.1">&lt;</a> <font color="Maroon" title="c2">s</font> )
 </span><b>by </b><i><a class="txt" href="rcomp_3.html#E4:102"><i><font color="Green" title="E75">A4</font></i></a>, <a class="ref" href="real_1.html#D5" title="REAL_1:def.5">REAL_1:def 5</a></i>;<br/><div class="add"><div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="102_1_1"><b>suppose </b></a><a NAME="E1:102_1_1"/>
<font color="Maroon" title="c1">r</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c2">s</font>
 ;<br/><div class="add"><a NAME="E2:102_1_1"/><b>then </b>
<font color="Maroon" title="c5">C</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1"><a href="binarith.html#K11" title="BINARITH:func.11">&lt;*</a><span class="default"><span class="p2"><a href="rcomp_1.html#K1" title="RCOMP_1:func.1">[.</a><span class="default"><font color="Maroon" title="c1">r</font>,<font color="Maroon" title="c1">r</font></span><a href="rcomp_1.html#K1" title="RCOMP_1:func.1">.]</a></span></span><a href="binarith.html#K11" title="BINARITH:func.11">*&gt;</a></span>
 <b>by </b><i><a class="txt" href="rcomp_3.html#E1:102"><i><font color="Green" title="E72">A1</font></i></a>, <a class="txt" href="rcomp_3.html#E2:102"><i><font color="Green" title="E73">A2</font></i></a>, <a class="txt" href="rcomp_3.html#E3:102"><i><font color="Green" title="E74">A3</font></i></a>, <a class="ref" href="rcomp_3.html#T64" target="_self" title="RCOMP_3:th.64">Th64</a></i>;<br/><a NAME="E3:102_1_1"/><b>then </b><i><font color="Green" title="E89">A18</font></i>: 
 <a href="finseq_1.html#K3" title="FINSEQ_1:func.3">len</a> <font color="Maroon" title="c5">C</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> 1
 <b>by </b><i><a class="ref" href="finseq_1.html#T57" title="FINSEQ_1:th.57">FINSEQ_1:57</a></i>;<br/><a NAME="E4:102_1_1"/><b>then </b>
<font color="Maroon" title="c6">G</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1"><a href="finseq_1.html#K10" title="FINSEQ_1:func.10">&lt;*</a><span class="default"><font color="Maroon" title="c1">r</font>,<font color="Maroon" title="c2">s</font></span><a href="finseq_1.html#K10" title="FINSEQ_1:func.10">*&gt;</a></span>
 <b>by </b><i><a class="txt" href="rcomp_3.html#E1:102"><i><font color="Green" title="E72">A1</font></i></a>, <a class="txt" href="rcomp_3.html#E2:102"><i><font color="Green" title="E73">A2</font></i></a>, <a class="txt" href="rcomp_3.html#E3:102"><i><font color="Green" title="E74">A3</font></i></a>, <a class="txt" href="rcomp_3.html#E4:102"><i><font color="Green" title="E75">A4</font></i></a>, <a class="ref" href="rcomp_3.html#T75" target="_self" title="RCOMP_3:th.75">Th75</a></i>;<br/><a NAME="E5:102_1_1"/><b>then </b><i><font color="Green" title="E90">A19</font></i>: 
( <font color="Maroon" title="c6">G</font> <a href="seq_1.html#K2" title="SEQ_1:func.2">.</a> 1 <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c1">r</font> &amp; <font color="Maroon" title="c6">G</font> <a href="seq_1.html#K2" title="SEQ_1:func.2">.</a> 2 <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c2">s</font> )
 <b>by </b><i><a class="ref" href="finseq_1.html#T61" title="FINSEQ_1:th.61">FINSEQ_1:61</a></i>;<br/><a NAME="E6:102_1_1"/><i><font color="Green" title="E91">A20</font></i>: 
<font color="Maroon" title="c3">n</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> 1
 <b>by </b><i><a class="txt" href="rcomp_3.html#E3:102_1_1"><i><font color="Green" title="E89">A18</font></i></a>, <a class="txt" href="rcomp_3.html#E13:102"><i><font color="Green" title="E83">A12</font></i></a>, <a class="txt" href="rcomp_3.html#E5:102"><i><font color="Green" title="E76">A5</font></i></a>, <a class="ref" href="xxreal_0.html#T1" title="XXREAL_0:th.1">XXREAL_0:1</a></i>;<br/><a NAME="E7:102_1_1"/>
<font color="Maroon" title="c5">C</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1"><a href="binarith.html#K11" title="BINARITH:func.11">&lt;*</a><span class="default"><span class="p2"><a href="rcomp_1.html#K1" title="RCOMP_1:func.1">[.</a><span class="default"><font color="Maroon" title="c1">r</font>,<font color="Maroon" title="c2">s</font></span><a href="rcomp_1.html#K1" title="RCOMP_1:func.1">.]</a></span></span><a href="binarith.html#K11" title="BINARITH:func.11">*&gt;</a></span>
 <b>by </b><i><a class="txt" href="rcomp_3.html#E1:102"><i><font color="Green" title="E72">A1</font></i></a>, <a class="txt" href="rcomp_3.html#E2:102"><i><font color="Green" title="E73">A2</font></i></a>, <a class="txt" href="rcomp_3.html#E3:102"><i><font color="Green" title="E74">A3</font></i></a>, <a class="txt" href="rcomp_3.html#E4:102"><i><font color="Green" title="E75">A4</font></i></a>, <a class="txt" href="rcomp_3.html#E3:102_1_1"><i><font color="Green" title="E89">A18</font></i></a>, <a class="ref" href="rcomp_3.html#T66" target="_self" title="RCOMP_3:th.66">Th66</a></i>;<br/><b>hence </b><a NAME="E8:102_1_1"/>
<span class="p1"><a href="rcomp_1.html#K1" title="RCOMP_1:func.1">[.</a><span class="default"><span class="p2">(<span class="default"><font color="Maroon" title="c6">G</font> <a href="seq_1.html#K2" title="SEQ_1:func.2">.</a> <font color="Maroon" title="c3">n</font></span>)</span>,<span class="p2">(<span class="default"><font color="Maroon" title="c6">G</font> <a href="seq_1.html#K2" title="SEQ_1:func.2">.</a> <span class="p3">(<span class="default"><font color="Maroon" title="c3">n</font> <a href="xcmplx_0.html#K2" title="XCMPLX_0:func.2">+</a> 1</span>)</span></span>)</span></span><a href="rcomp_1.html#K1" title="RCOMP_1:func.1">.]</a></span> <a href="tarski.html#R1" title="TARSKI:pred.1">c=</a> <font color="Maroon" title="c5">C</font> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Maroon" title="c3">n</font>
 <b>by </b><i><a class="txt" href="rcomp_3.html#E6:102_1_1"><i><font color="Green" title="E91">A20</font></i></a>, <a class="txt" href="rcomp_3.html#E5:102_1_1"><i><font color="Green" title="E90">A19</font></i></a>, <a class="ref" href="finseq_1.html#T57" title="FINSEQ_1:th.57">FINSEQ_1:57</a></i>;<br/></div><b>end;</b></div><div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="102_1_2"><b>suppose </b></a><a NAME="E1:102_1_2"/>
<font color="Maroon" title="c1">r</font> <a href="xxreal_0.html#R1" title="XXREAL_0:pred.1">&lt;</a> <font color="Maroon" title="c2">s</font>
 ;<br/><div class="add"><a NAME="E2:102_1_2"/><b>then </b>
<font color="Maroon" title="c6">G</font> is <a href="seqm_3.html#V1" title="SEQM_3:attr.1">increasing</a>
 <b>by </b><i><a class="txt" href="rcomp_3.html#E1:102"><i><font color="Green" title="E72">A1</font></i></a>, <a class="txt" href="rcomp_3.html#E2:102"><i><font color="Green" title="E73">A2</font></i></a>, <a class="ref" href="rcomp_3.html#T79" target="_self" title="RCOMP_3:th.79">Th79</a>, <a class="txt" href="rcomp_3.html#E3:102"><i><font color="Green" title="E74">A3</font></i></a></i>;<br/><a NAME="E3:102_1_2"/><b>then </b><i><font color="Green" title="E89">A21</font></i>: 
<font color="Maroon" title="c6">G</font> <a href="seq_1.html#K2" title="SEQ_1:func.2">.</a> <font color="Maroon" title="c3">n</font> <a href="xxreal_0.html#R1" title="XXREAL_0:pred.1">&lt;</a> <font color="Maroon" title="c6">G</font> <a href="seq_1.html#K2" title="SEQ_1:func.2">.</a> <span class="p1">(<span class="default"><font color="Maroon" title="c3">n</font> <a href="xcmplx_0.html#K2" title="XCMPLX_0:func.2">+</a> 1</span>)</span>
 <b>by </b><i><a class="txt" href="rcomp_3.html#E22:102"><i><font color="Green" title="E88">A17</font></i></a>, <a class="txt" href="rcomp_3.html#E9:102"><i><font color="Green" title="E80">A9</font></i></a>, <a class="txt" href="rcomp_3.html#E11:102"><i><font color="Green" title="E81">A10</font></i></a>, <a class="ref" href="seqm_3.html#D1" title="SEQM_3:def.1">SEQM_3:def 1</a></i>;<br/><a NAME="E4:102_1_2"/><i><font color="Green" title="E90">A22</font></i>: 
2 <a href="xxreal_0.html#R1" title="XXREAL_0:pred.1">&lt;=</a>  <a href="finseq_1.html#K3" title="FINSEQ_1:func.3">len</a> <font color="Maroon" title="c6">G</font>
 <b>by </b><i><a class="txt" href="rcomp_3.html#E1:102"><i><font color="Green" title="E72">A1</font></i></a>, <a class="txt" href="rcomp_3.html#E2:102"><i><font color="Green" title="E73">A2</font></i></a>, <a class="txt" href="rcomp_3.html#E3:102"><i><font color="Green" title="E74">A3</font></i></a>, <a class="txt" href="rcomp_3.html#E4:102"><i><font color="Green" title="E75">A4</font></i></a>, <a class="ref" href="rcomp_3.html#T74" target="_self" title="RCOMP_3:th.74">Th74</a></i>;<br/><div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="102_1_2_1"><b>per </b></a><a class="txt" onclick="hs(this)" href="javascript:()"><b>cases </b></a><span class="hide"><a NAME="E1:102_1_2_1"/>
( ( <font color="Maroon" title="c3">n</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> 1 &amp;  <a href="finseq_1.html#K3" title="FINSEQ_1:func.3">len</a> <font color="Maroon" title="c6">G</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> 2 ) or ( <font color="Maroon" title="c3">n</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> 1 &amp; 1 <a href="nat_1.html#K1" title="NAT_1:func.1">+</a> 1 <a href="xxreal_0.html#R1" title="XXREAL_0:pred.1">&lt;</a>  <a href="finseq_1.html#K3" title="FINSEQ_1:func.3">len</a> <font color="Maroon" title="c6">G</font> ) or ( 1 <a href="xxreal_0.html#R1" title="XXREAL_0:pred.1">&lt;</a> <font color="Maroon" title="c3">n</font> &amp;  <a href="finseq_1.html#K3" title="FINSEQ_1:func.3">len</a> <font color="Maroon" title="c6">G</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c3">n</font> <a href="xcmplx_0.html#K2" title="XCMPLX_0:func.2">+</a> 1 ) or ( 1 <a href="xxreal_0.html#R1" title="XXREAL_0:pred.1">&lt;</a> <font color="Maroon" title="c3">n</font> &amp; <font color="Maroon" title="c3">n</font> <a href="xcmplx_0.html#K2" title="XCMPLX_0:func.2">+</a> 1 <a href="xxreal_0.html#R1" title="XXREAL_0:pred.1">&lt;</a>  <a href="finseq_1.html#K3" title="FINSEQ_1:func.3">len</a> <font color="Maroon" title="c6">G</font> ) )
 </span><b>by </b><i><a class="txt" href="rcomp_3.html#E5:102"><i><font color="Green" title="E76">A5</font></i></a>, <a class="txt" href="rcomp_3.html#E7:102"><i><font color="Green" title="E78">A7</font></i></a>, <a class="txt" href="rcomp_3.html#E4:102_1_2"><i><font color="Green" title="E90">A22</font></i></a>, <a class="ref" href="real_1.html#D5" title="REAL_1:def.5">REAL_1:def 5</a></i>;<br/><div class="add"><div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="102_1_2_1_1"><b>suppose </b></a><b>that </b><a NAME="E1:102_1_2_1_1"/><i><font color="Green" title="E91">A23</font></i>: 
<font color="Maroon" title="c3">n</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> 1
 <b>and </b><br/><a NAME="E2:102_1_2_1_1"/><i><font color="Green" title="E92">A24</font></i>: 
 <a href="finseq_1.html#K3" title="FINSEQ_1:func.3">len</a> <font color="Maroon" title="c6">G</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> 2
 ;<br/><div class="add"><a NAME="E3:102_1_2_1_1"/><i><font color="Green" title="E93">A25</font></i>: 
 <a href="finseq_1.html#K3" title="FINSEQ_1:func.3">len</a> <font color="Maroon" title="c5">C</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> 2 <a href="real_1.html#K5" title="REAL_1:func.5">-</a> 1
 <b>by </b><i><a class="txt" href="rcomp_3.html#E12:102"><i><font color="Green" title="E82">A11</font></i></a>, <a class="txt" href="rcomp_3.html#E2:102_1_2_1_1"><i><font color="Green" title="E92">A24</font></i></a></i>;<br/><a NAME="E4:102_1_2_1_1"/><b>then </b>
<font color="Maroon" title="c6">G</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1"><a href="finseq_1.html#K10" title="FINSEQ_1:func.10">&lt;*</a><span class="default"><font color="Maroon" title="c1">r</font>,<font color="Maroon" title="c2">s</font></span><a href="finseq_1.html#K10" title="FINSEQ_1:func.10">*&gt;</a></span>
 <b>by </b><i><a class="txt" href="rcomp_3.html#E1:102"><i><font color="Green" title="E72">A1</font></i></a>, <a class="txt" href="rcomp_3.html#E2:102"><i><font color="Green" title="E73">A2</font></i></a>, <a class="txt" href="rcomp_3.html#E3:102"><i><font color="Green" title="E74">A3</font></i></a>, <a class="txt" href="rcomp_3.html#E4:102"><i><font color="Green" title="E75">A4</font></i></a>, <a class="ref" href="rcomp_3.html#T75" target="_self" title="RCOMP_3:th.75">Th75</a></i>;<br/><a NAME="E5:102_1_2_1_1"/><b>then </b><i><font color="Green" title="E94">A26</font></i>: 
( <font color="Maroon" title="c6">G</font> <a href="seq_1.html#K2" title="SEQ_1:func.2">.</a> 1 <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c1">r</font> &amp; <font color="Maroon" title="c6">G</font> <a href="seq_1.html#K2" title="SEQ_1:func.2">.</a> 2 <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c2">s</font> )
 <b>by </b><i><a class="ref" href="finseq_1.html#T61" title="FINSEQ_1:th.61">FINSEQ_1:61</a></i>;<br/><a NAME="E6:102_1_2_1_1"/>
<font color="Maroon" title="c5">C</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1"><a href="binarith.html#K11" title="BINARITH:func.11">&lt;*</a><span class="default"><span class="p2"><a href="rcomp_1.html#K1" title="RCOMP_1:func.1">[.</a><span class="default"><font color="Maroon" title="c1">r</font>,<font color="Maroon" title="c2">s</font></span><a href="rcomp_1.html#K1" title="RCOMP_1:func.1">.]</a></span></span><a href="binarith.html#K11" title="BINARITH:func.11">*&gt;</a></span>
 <b>by </b><i><a class="txt" href="rcomp_3.html#E1:102"><i><font color="Green" title="E72">A1</font></i></a>, <a class="txt" href="rcomp_3.html#E2:102"><i><font color="Green" title="E73">A2</font></i></a>, <a class="txt" href="rcomp_3.html#E3:102"><i><font color="Green" title="E74">A3</font></i></a>, <a class="txt" href="rcomp_3.html#E4:102"><i><font color="Green" title="E75">A4</font></i></a>, <a class="txt" href="rcomp_3.html#E3:102_1_2_1_1"><i><font color="Green" title="E93">A25</font></i></a>, <a class="ref" href="rcomp_3.html#T66" target="_self" title="RCOMP_3:th.66">Th66</a></i>;<br/><b>hence </b><a NAME="E7:102_1_2_1_1"/>
<span class="p1"><a href="rcomp_1.html#K1" title="RCOMP_1:func.1">[.</a><span class="default"><span class="p2">(<span class="default"><font color="Maroon" title="c6">G</font> <a href="seq_1.html#K2" title="SEQ_1:func.2">.</a> <font color="Maroon" title="c3">n</font></span>)</span>,<span class="p2">(<span class="default"><font color="Maroon" title="c6">G</font> <a href="seq_1.html#K2" title="SEQ_1:func.2">.</a> <span class="p3">(<span class="default"><font color="Maroon" title="c3">n</font> <a href="xcmplx_0.html#K2" title="XCMPLX_0:func.2">+</a> 1</span>)</span></span>)</span></span><a href="rcomp_1.html#K1" title="RCOMP_1:func.1">.]</a></span> <a href="tarski.html#R1" title="TARSKI:pred.1">c=</a> <font color="Maroon" title="c5">C</font> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Maroon" title="c3">n</font>
 <b>by </b><i><a class="txt" href="rcomp_3.html#E1:102_1_2_1_1"><i><font color="Green" title="E91">A23</font></i></a>, <a class="txt" href="rcomp_3.html#E5:102_1_2_1_1"><i><font color="Green" title="E94">A26</font></i></a>, <a class="ref" href="finseq_1.html#T57" title="FINSEQ_1:th.57">FINSEQ_1:57</a></i>;<br/></div><b>end;</b></div><div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="102_1_2_1_2"><b>suppose </b></a><b>that </b><a NAME="E1:102_1_2_1_2"/><i><font color="Green" title="E91">A27</font></i>: 
<font color="Maroon" title="c3">n</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> 1
 <b>and </b><br/><a NAME="E2:102_1_2_1_2"/><i><font color="Green" title="E92">A28</font></i>: 
1 <a href="nat_1.html#K1" title="NAT_1:func.1">+</a> 1 <a href="xxreal_0.html#R1" title="XXREAL_0:pred.1">&lt;</a>  <a href="finseq_1.html#K3" title="FINSEQ_1:func.3">len</a> <font color="Maroon" title="c6">G</font>
 ;<br/><div class="add"><a NAME="E3:102_1_2_1_2"/><i><font color="Green" title="E93">A29</font></i>: 
<font color="Maroon" title="c6">G</font> <a href="seq_1.html#K2" title="SEQ_1:func.2">.</a> <span class="p1">(<span class="default">1 <a href="nat_1.html#K1" title="NAT_1:func.1">+</a> 1</span>)</span> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a> <span class="p1"><a href="rcomp_1.html#K2" title="RCOMP_1:func.2">].</a><span class="default"><span class="p2">(<span class="default"><a href="pscomp_1.html#K3" title="PSCOMP_1:func.3">inf</a> <span class="p3">(<span class="default"><font color="Maroon" title="c5">C</font> <a href="finseq_4.html#K4" title="FINSEQ_4:func.4">/.</a> <span class="p4">(<span class="default">1 <a href="nat_1.html#K1" title="NAT_1:func.1">+</a> 1</span>)</span></span>)</span></span>)</span>,<span class="p2">(<span class="default"><a href="pscomp_1.html#K2" title="PSCOMP_1:func.2">sup</a> <span class="p3">(<span class="default"><font color="Maroon" title="c5">C</font> <a href="finseq_4.html#K4" title="FINSEQ_4:func.4">/.</a> 1</span>)</span></span>)</span></span><a href="rcomp_1.html#K2" title="RCOMP_1:func.2">.[</a></span>
 <b>by </b><i><a class="txt" href="rcomp_3.html#E1:102"><i><font color="Green" title="E72">A1</font></i></a>, <a class="txt" href="rcomp_3.html#E2:102"><i><font color="Green" title="E73">A2</font></i></a>, <a class="txt" href="rcomp_3.html#E4:102"><i><font color="Green" title="E75">A4</font></i></a>, <a class="ref" href="rcomp_3.html#D3" target="_self" title="RCOMP_3:def.3">Def3</a>, <a class="txt" href="rcomp_3.html#E3:102"><i><font color="Green" title="E74">A3</font></i></a>, <a class="txt" href="rcomp_3.html#E2:102_1_2_1_2"><i><font color="Green" title="E92">A28</font></i></a></i>;<br/><a NAME="E4:102_1_2_1_2"/><i><font color="Green" title="E94">A30</font></i>: 
<font color="Maroon" title="c6">G</font> <a href="seq_1.html#K2" title="SEQ_1:func.2">.</a> 1 <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c1">r</font>
 <b>by </b><i><a class="txt" href="rcomp_3.html#E1:102"><i><font color="Green" title="E72">A1</font></i></a>, <a class="txt" href="rcomp_3.html#E2:102"><i><font color="Green" title="E73">A2</font></i></a>, <a class="txt" href="rcomp_3.html#E4:102"><i><font color="Green" title="E75">A4</font></i></a>, <a class="ref" href="rcomp_3.html#D3" target="_self" title="RCOMP_3:def.3">Def3</a>, <a class="txt" href="rcomp_3.html#E3:102"><i><font color="Green" title="E74">A3</font></i></a></i>;<br/><a NAME="E5:102_1_2_1_2"/><i><font color="Green" title="E95">A31</font></i>: 
1 <a href="nat_1.html#K1" title="NAT_1:func.1">+</a> 1 <a href="xxreal_0.html#R1" title="XXREAL_0:pred.1">&lt;=</a>  <a href="finseq_1.html#K3" title="FINSEQ_1:func.3">len</a> <font color="Maroon" title="c5">C</font>
 <b>by </b><i><a class="txt" href="rcomp_3.html#E2:102_1_2_1_2"><i><font color="Green" title="E92">A28</font></i></a>, <a class="txt" href="rcomp_3.html#E12:102"><i><font color="Green" title="E82">A11</font></i></a>, <a class="ref" href="nat_1.html#T13" title="NAT_1:th.13">NAT_1:13</a></i>;<br/><a NAME="E6:102_1_2_1_2"/><i><font color="Green" title="E96">A32</font></i>: 
<font color="Maroon" title="c1">r</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a> <font color="Maroon" title="c5">C</font> <a href="finseq_4.html#K4" title="FINSEQ_4:func.4">/.</a> 1
 <b>by </b><i><a class="txt" href="rcomp_3.html#E1:102"><i><font color="Green" title="E72">A1</font></i></a>, <a class="txt" href="rcomp_3.html#E2:102"><i><font color="Green" title="E73">A2</font></i></a>, <a class="txt" href="rcomp_3.html#E4:102"><i><font color="Green" title="E75">A4</font></i></a>, <a class="txt" href="rcomp_3.html#E3:102"><i><font color="Green" title="E74">A3</font></i></a>, <a class="ref" href="rcomp_3.html#T71" target="_self" title="RCOMP_3:th.71">Th71</a></i>;<br/><a NAME="E7:102_1_2_1_2"/><i><font color="Green" title="E97">A33</font></i>: 
<font color="Maroon" title="c6">G</font> <a href="seq_1.html#K2" title="SEQ_1:func.2">.</a> <span class="p1">(<span class="default"><font color="Maroon" title="c3">n</font> <a href="xcmplx_0.html#K2" title="XCMPLX_0:func.2">+</a> 1</span>)</span> <a href="xxreal_0.html#R1" title="XXREAL_0:pred.1">&lt;</a>  <a href="pscomp_1.html#K2" title="PSCOMP_1:func.2">sup</a> <span class="p1">(<span class="default"><font color="Maroon" title="c5">C</font> <a href="finseq_4.html#K4" title="FINSEQ_4:func.4">/.</a> <font color="Maroon" title="c3">n</font></span>)</span>
 <b>by </b><i><a class="txt" href="rcomp_3.html#E1:102"><i><font color="Green" title="E72">A1</font></i></a>, <a class="txt" href="rcomp_3.html#E2:102"><i><font color="Green" title="E73">A2</font></i></a>, <a class="txt" href="rcomp_3.html#E4:102"><i><font color="Green" title="E75">A4</font></i></a>, <a class="txt" href="rcomp_3.html#E2:102_1_2_1_2"><i><font color="Green" title="E92">A28</font></i></a>, <a class="txt" href="rcomp_3.html#E1:102_1_2_1_2"><i><font color="Green" title="E91">A27</font></i></a>, <a class="ref" href="rcomp_3.html#T76" target="_self" title="RCOMP_3:th.76">Th76</a>, <a class="txt" href="rcomp_3.html#E3:102"><i><font color="Green" title="E74">A3</font></i></a></i>;<br/><a NAME="E8:102_1_2_1_2"/><i><font color="Green" title="E98">A34</font></i>: 
 <a href="pscomp_1.html#K3" title="PSCOMP_1:func.3">inf</a> <span class="p1">(<span class="default"><font color="Maroon" title="c5">C</font> <a href="finseq_4.html#K4" title="FINSEQ_4:func.4">/.</a> 1</span>)</span> <a href="xxreal_0.html#R1" title="XXREAL_0:pred.1">&lt;=</a>  <a href="pscomp_1.html#K3" title="PSCOMP_1:func.3">inf</a> <span class="p1">(<span class="default"><font color="Maroon" title="c5">C</font> <a href="finseq_4.html#K4" title="FINSEQ_4:func.4">/.</a> <span class="p2">(<span class="default">1 <a href="nat_1.html#K1" title="NAT_1:func.1">+</a> 1</span>)</span></span>)</span>
 <b>by </b><i><a class="txt" href="rcomp_3.html#E1:102"><i><font color="Green" title="E72">A1</font></i></a>, <a class="txt" href="rcomp_3.html#E2:102"><i><font color="Green" title="E73">A2</font></i></a>, <a class="txt" href="rcomp_3.html#E4:102"><i><font color="Green" title="E75">A4</font></i></a>, <a class="txt" href="rcomp_3.html#E5:102_1_2_1_2"><i><font color="Green" title="E95">A31</font></i></a>, <a class="txt" href="rcomp_3.html#E3:102"><i><font color="Green" title="E74">A3</font></i></a>, <a class="ref" href="rcomp_3.html#D2" target="_self" title="RCOMP_3:def.2">Def2</a></i>;<br/><a NAME="E9:102_1_2_1_2"/>
 <a href="pscomp_1.html#K3" title="PSCOMP_1:func.3">inf</a> <span class="p1">(<span class="default"><font color="Maroon" title="c5">C</font> <a href="finseq_4.html#K4" title="FINSEQ_4:func.4">/.</a> <span class="p2">(<span class="default">1 <a href="nat_1.html#K1" title="NAT_1:func.1">+</a> 1</span>)</span></span>)</span> <a href="xxreal_0.html#R1" title="XXREAL_0:pred.1">&lt;</a> <font color="Maroon" title="c6">G</font> <a href="seq_1.html#K2" title="SEQ_1:func.2">.</a> 2
 <b>by </b><i><a class="txt" href="rcomp_3.html#E3:102_1_2_1_2"><i><font color="Green" title="E93">A29</font></i></a>, <a class="ref" href="rcomp_1.html#T47" title="RCOMP_1:th.47">RCOMP_1:47</a></i>;<br/><a NAME="E10:102_1_2_1_2"/><b>then </b>
 <a href="pscomp_1.html#K3" title="PSCOMP_1:func.3">inf</a> <span class="p1">(<span class="default"><font color="Maroon" title="c5">C</font> <a href="finseq_4.html#K4" title="FINSEQ_4:func.4">/.</a> <font color="Maroon" title="c3">n</font></span>)</span> <a href="xxreal_0.html#R1" title="XXREAL_0:pred.1">&lt;</a> <font color="Maroon" title="c6">G</font> <a href="seq_1.html#K2" title="SEQ_1:func.2">.</a> <span class="p1">(<span class="default"><font color="Maroon" title="c3">n</font> <a href="xcmplx_0.html#K2" title="XCMPLX_0:func.2">+</a> 1</span>)</span>
 <b>by </b><i><a class="txt" href="rcomp_3.html#E1:102_1_2_1_2"><i><font color="Green" title="E91">A27</font></i></a>, <a class="txt" href="rcomp_3.html#E8:102_1_2_1_2"><i><font color="Green" title="E98">A34</font></i></a>, <a class="ref" href="xxreal_0.html#T2" title="XXREAL_0:th.2">XXREAL_0:2</a></i>;<br/><a NAME="E11:102_1_2_1_2"/><b>then </b>
<font color="Maroon" title="c6">G</font> <a href="seq_1.html#K2" title="SEQ_1:func.2">.</a> <span class="p1">(<span class="default"><font color="Maroon" title="c3">n</font> <a href="xcmplx_0.html#K2" title="XCMPLX_0:func.2">+</a> 1</span>)</span> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a> <font color="Maroon" title="c5">C</font> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Maroon" title="c3">n</font>
 <b>by </b><i><a class="txt" href="rcomp_3.html#E7:102_1_2_1_2"><i><font color="Green" title="E97">A33</font></i></a>, <a class="txt" href="rcomp_3.html#E14:102"><i><font color="Green" title="E84">A13</font></i></a>, <a class="txt" href="rcomp_3.html#E21:102"><i><font color="Green" title="E87">A16</font></i></a>, <a class="txt" href="rcomp_3.html#E20:102"><i><font color="Green" title="E86">A15</font></i></a>, <a class="ref" href="rcomp_3.html#T42" target="_self" title="RCOMP_3:th.42">Th42</a></i>;<br/><b>hence </b><a NAME="E12:102_1_2_1_2"/>
<span class="p1"><a href="rcomp_1.html#K1" title="RCOMP_1:func.1">[.</a><span class="default"><span class="p2">(<span class="default"><font color="Maroon" title="c6">G</font> <a href="seq_1.html#K2" title="SEQ_1:func.2">.</a> <font color="Maroon" title="c3">n</font></span>)</span>,<span class="p2">(<span class="default"><font color="Maroon" title="c6">G</font> <a href="seq_1.html#K2" title="SEQ_1:func.2">.</a> <span class="p3">(<span class="default"><font color="Maroon" title="c3">n</font> <a href="xcmplx_0.html#K2" title="XCMPLX_0:func.2">+</a> 1</span>)</span></span>)</span></span><a href="rcomp_1.html#K1" title="RCOMP_1:func.1">.]</a></span> <a href="tarski.html#R1" title="TARSKI:pred.1">c=</a> <font color="Maroon" title="c5">C</font> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Maroon" title="c3">n</font>
 <b>by </b><i><a class="txt" href="rcomp_3.html#E1:102_1_2_1_2"><i><font color="Green" title="E91">A27</font></i></a>, <a class="txt" href="rcomp_3.html#E4:102_1_2_1_2"><i><font color="Green" title="E94">A30</font></i></a>, <a class="txt" href="rcomp_3.html#E14:102"><i><font color="Green" title="E84">A13</font></i></a>, <a class="txt" href="rcomp_3.html#E6:102_1_2_1_2"><i><font color="Green" title="E96">A32</font></i></a>, <a class="txt" href="rcomp_3.html#E20:102"><i><font color="Green" title="E86">A15</font></i></a>, <a class="ref" href="jct_misc.html#D1" title="JCT_MISC:def.1">JCT_MISC:def 1</a></i>;<br/></div><b>end;</b></div><div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="102_1_2_1_3"><b>suppose </b></a><b>that </b><a NAME="E1:102_1_2_1_3"/><i><font color="Green" title="E91">A35</font></i>: 
1 <a href="xxreal_0.html#R1" title="XXREAL_0:pred.1">&lt;</a> <font color="Maroon" title="c3">n</font>
 <b>and </b><br/><a NAME="E2:102_1_2_1_3"/><i><font color="Green" title="E92">A36</font></i>: 
 <a href="finseq_1.html#K3" title="FINSEQ_1:func.3">len</a> <font color="Maroon" title="c6">G</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c3">n</font> <a href="xcmplx_0.html#K2" title="XCMPLX_0:func.2">+</a> 1
 ;<br/><div class="add"><a NAME="E3:102_1_2_1_3"/><i><font color="Green" title="E93">A37</font></i>: 
<font color="Maroon" title="c6">G</font> <a href="seq_1.html#K2" title="SEQ_1:func.2">.</a> <span class="p1">(<span class="default"><a href="finseq_1.html#K3" title="FINSEQ_1:func.3">len</a> <font color="Maroon" title="c6">G</font></span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c2">s</font>
 <b>by </b><i><a class="txt" href="rcomp_3.html#E1:102"><i><font color="Green" title="E72">A1</font></i></a>, <a class="txt" href="rcomp_3.html#E2:102"><i><font color="Green" title="E73">A2</font></i></a>, <a class="txt" href="rcomp_3.html#E4:102"><i><font color="Green" title="E75">A4</font></i></a>, <a class="ref" href="rcomp_3.html#D3" target="_self" title="RCOMP_3:def.3">Def3</a>, <a class="txt" href="rcomp_3.html#E3:102"><i><font color="Green" title="E74">A3</font></i></a></i>;<br/><a NAME="E4:102_1_2_1_3"/><i><font color="Green" title="E94">A38</font></i>: 
 <a href="finseq_1.html#K3" title="FINSEQ_1:func.3">len</a> <font color="Maroon" title="c5">C</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c3">n</font>
 <b>by </b><i><a class="txt" href="rcomp_3.html#E12:102"><i><font color="Green" title="E82">A11</font></i></a>, <a class="txt" href="rcomp_3.html#E2:102_1_2_1_3"><i><font color="Green" title="E92">A36</font></i></a></i>;<br/><a NAME="E5:102_1_2_1_3"/><b>then </b><i><font color="Green" title="E95">A39</font></i>: 
 <a href="pscomp_1.html#K3" title="PSCOMP_1:func.3">inf</a> <span class="p1">(<span class="default"><font color="Maroon" title="c5">C</font> <a href="finseq_4.html#K4" title="FINSEQ_4:func.4">/.</a> <font color="Maroon" title="c3">n</font></span>)</span> <a href="xxreal_0.html#R1" title="XXREAL_0:pred.1">&lt;</a> <font color="Maroon" title="c6">G</font> <a href="seq_1.html#K2" title="SEQ_1:func.2">.</a> <font color="Maroon" title="c3">n</font>
 <b>by </b><i><a class="txt" href="rcomp_3.html#E1:102"><i><font color="Green" title="E72">A1</font></i></a>, <a class="txt" href="rcomp_3.html#E2:102"><i><font color="Green" title="E73">A2</font></i></a>, <a class="txt" href="rcomp_3.html#E4:102"><i><font color="Green" title="E75">A4</font></i></a>, <a class="txt" href="rcomp_3.html#E1:102_1_2_1_3"><i><font color="Green" title="E91">A35</font></i></a>, <a class="ref" href="rcomp_3.html#T77" target="_self" title="RCOMP_3:th.77">Th77</a>, <a class="txt" href="rcomp_3.html#E3:102"><i><font color="Green" title="E74">A3</font></i></a></i>;<br/><a NAME="E6:102_1_2_1_3"/><i><font color="Green" title="E96">A40</font></i>: 
1 <a href="real_1.html#K5" title="REAL_1:func.5">-</a> 1 <a href="xxreal_0.html#R1" title="XXREAL_0:pred.1">&lt;</a> <font color="Maroon" title="c3">n</font> <a href="xcmplx_0.html#K6" title="XCMPLX_0:func.6">-</a> 1
 <b>by </b><i><a class="txt" href="rcomp_3.html#E1:102_1_2_1_3"><i><font color="Green" title="E91">A35</font></i></a>, <a class="ref" href="xreal_1.html#T11" title="XREAL_1:th.11">XREAL_1:11</a></i>;<br/><a NAME="E7:102_1_2_1_3"/><b>then </b><i><font color="Green" title="E97">A41</font></i>: 
0 <a href="nat_1.html#K1" title="NAT_1:func.1">+</a> 1 <a href="xxreal_0.html#R1" title="XXREAL_0:pred.1">&lt;=</a> <font color="Maroon" title="c3">n</font> <a href="xcmplx_0.html#K6" title="XCMPLX_0:func.6">-</a> 1
 <b>by </b><i><a class="ref" href="int_1.html#T20" title="INT_1:th.20">INT_1:20</a></i>;<br/><a NAME="E8:102_1_2_1_3"/><i><font color="Green" title="E98">A42</font></i>: 
<font color="Maroon" title="c3">n</font> <a href="xcmplx_0.html#K6" title="XCMPLX_0:func.6">-</a> 1 is    <a href="subset_1.html#M2" title="SUBSET_1:mode.2">Element</a> of  <a href="numbers.html#K5" title="NUMBERS:func.5">NAT</a> 
 <b>by </b><i><a class="txt" href="rcomp_3.html#E6:102_1_2_1_3"><i><font color="Green" title="E96">A40</font></i></a>, <a class="ref" href="int_1.html#T16" title="INT_1:th.16">INT_1:16</a></i>;<br/><a NAME="E9:102_1_2_1_3"/><b>then </b>
<font color="Maroon" title="c6">G</font> <a href="seq_1.html#K2" title="SEQ_1:func.2">.</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><font color="Maroon" title="c3">n</font> <a href="xcmplx_0.html#K6" title="XCMPLX_0:func.6">-</a> 1</span>)</span> <a href="xcmplx_0.html#K2" title="XCMPLX_0:func.2">+</a> 1</span>)</span> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a> <span class="p1"><a href="rcomp_1.html#K2" title="RCOMP_1:func.2">].</a><span class="default"><span class="p2">(<span class="default"><a href="pscomp_1.html#K3" title="PSCOMP_1:func.3">inf</a> <span class="p3">(<span class="default"><font color="Maroon" title="c5">C</font> <a href="finseq_4.html#K4" title="FINSEQ_4:func.4">/.</a> <span class="p4">(<span class="default"><span class="p5">(<span class="default"><font color="Maroon" title="c3">n</font> <a href="xcmplx_0.html#K6" title="XCMPLX_0:func.6">-</a> 1</span>)</span> <a href="xcmplx_0.html#K2" title="XCMPLX_0:func.2">+</a> 1</span>)</span></span>)</span></span>)</span>,<span class="p2">(<span class="default"><a href="pscomp_1.html#K2" title="PSCOMP_1:func.2">sup</a> <span class="p3">(<span class="default"><font color="Maroon" title="c5">C</font> <a href="finseq_4.html#K4" title="FINSEQ_4:func.4">/.</a> <span class="p4">(<span class="default"><font color="Maroon" title="c3">n</font> <a href="xcmplx_0.html#K6" title="XCMPLX_0:func.6">-</a> 1</span>)</span></span>)</span></span>)</span></span><a href="rcomp_1.html#K2" title="RCOMP_1:func.2">.[</a></span>
 <b>by </b><i><a class="txt" href="rcomp_3.html#E1:102"><i><font color="Green" title="E72">A1</font></i></a>, <a class="txt" href="rcomp_3.html#E2:102"><i><font color="Green" title="E73">A2</font></i></a>, <a class="txt" href="rcomp_3.html#E4:102"><i><font color="Green" title="E75">A4</font></i></a>, <a class="txt" href="rcomp_3.html#E7:102_1_2_1_3"><i><font color="Green" title="E97">A41</font></i></a>, <a class="txt" href="rcomp_3.html#E2:102_1_2_1_3"><i><font color="Green" title="E92">A36</font></i></a>, <a class="txt" href="rcomp_3.html#E22:102"><i><font color="Green" title="E88">A17</font></i></a>, <a class="ref" href="rcomp_3.html#D3" target="_self" title="RCOMP_3:def.3">Def3</a>, <a class="txt" href="rcomp_3.html#E3:102"><i><font color="Green" title="E74">A3</font></i></a></i>;<br/><a NAME="E10:102_1_2_1_3"/><b>then </b><i><font color="Green" title="E99">A43</font></i>: 
<font color="Maroon" title="c6">G</font> <a href="seq_1.html#K2" title="SEQ_1:func.2">.</a> <font color="Maroon" title="c3">n</font> <a href="xxreal_0.html#R1" title="XXREAL_0:pred.1">&lt;</a>  <a href="pscomp_1.html#K2" title="PSCOMP_1:func.2">sup</a> <span class="p1">(<span class="default"><font color="Maroon" title="c5">C</font> <a href="finseq_4.html#K4" title="FINSEQ_4:func.4">/.</a> <span class="p2">(<span class="default"><font color="Maroon" title="c3">n</font> <a href="xcmplx_0.html#K6" title="XCMPLX_0:func.6">-</a> 1</span>)</span></span>)</span>
 <b>by </b><i><a class="ref" href="rcomp_1.html#T47" title="RCOMP_1:th.47">RCOMP_1:47</a></i>;<br/><a NAME="E11:102_1_2_1_3"/>
 <a href="pscomp_1.html#K2" title="PSCOMP_1:func.2">sup</a> <span class="p1">(<span class="default"><font color="Maroon" title="c5">C</font> <a href="finseq_4.html#K4" title="FINSEQ_4:func.4">/.</a> <span class="p2">(<span class="default"><font color="Maroon" title="c3">n</font> <a href="xcmplx_0.html#K6" title="XCMPLX_0:func.6">-</a> 1</span>)</span></span>)</span> <a href="xxreal_0.html#R1" title="XXREAL_0:pred.1">&lt;=</a>  <a href="pscomp_1.html#K2" title="PSCOMP_1:func.2">sup</a> <span class="p1">(<span class="default"><font color="Maroon" title="c5">C</font> <a href="finseq_4.html#K4" title="FINSEQ_4:func.4">/.</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><font color="Maroon" title="c3">n</font> <a href="xcmplx_0.html#K6" title="XCMPLX_0:func.6">-</a> 1</span>)</span> <a href="xcmplx_0.html#K2" title="XCMPLX_0:func.2">+</a> 1</span>)</span></span>)</span>
 <b>by </b><i><a class="txt" href="rcomp_3.html#E3:102"><i><font color="Green" title="E74">A3</font></i></a>, <a class="txt" href="rcomp_3.html#E4:102_1_2_1_3"><i><font color="Green" title="E94">A38</font></i></a>, <a class="txt" href="rcomp_3.html#E8:102_1_2_1_3"><i><font color="Green" title="E98">A42</font></i></a>, <a class="txt" href="rcomp_3.html#E1:102"><i><font color="Green" title="E72">A1</font></i></a>, <a class="txt" href="rcomp_3.html#E2:102"><i><font color="Green" title="E73">A2</font></i></a>, <a class="txt" href="rcomp_3.html#E4:102"><i><font color="Green" title="E75">A4</font></i></a>, <a class="txt" href="rcomp_3.html#E7:102_1_2_1_3"><i><font color="Green" title="E97">A41</font></i></a>, <a class="ref" href="rcomp_3.html#D2" target="_self" title="RCOMP_3:def.2">Def2</a></i>;<br/><a NAME="E12:102_1_2_1_3"/><b>then </b>
<font color="Maroon" title="c6">G</font> <a href="seq_1.html#K2" title="SEQ_1:func.2">.</a> <font color="Maroon" title="c3">n</font> <a href="xxreal_0.html#R1" title="XXREAL_0:pred.1">&lt;</a>  <a href="pscomp_1.html#K2" title="PSCOMP_1:func.2">sup</a> <span class="p1">(<span class="default"><font color="Maroon" title="c5">C</font> <a href="finseq_4.html#K4" title="FINSEQ_4:func.4">/.</a> <font color="Maroon" title="c3">n</font></span>)</span>
 <b>by </b><i><a class="txt" href="rcomp_3.html#E10:102_1_2_1_3"><i><font color="Green" title="E99">A43</font></i></a>, <a class="ref" href="xxreal_0.html#T2" title="XXREAL_0:th.2">XXREAL_0:2</a></i>;<br/><a NAME="E13:102_1_2_1_3"/><b>then </b><i><font color="Green" title="E100">A44</font></i>: 
<font color="Maroon" title="c6">G</font> <a href="seq_1.html#K2" title="SEQ_1:func.2">.</a> <font color="Maroon" title="c3">n</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a> <font color="Maroon" title="c5">C</font> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Maroon" title="c3">n</font>
 <b>by </b><i><a class="txt" href="rcomp_3.html#E5:102_1_2_1_3"><i><font color="Green" title="E95">A39</font></i></a>, <a class="txt" href="rcomp_3.html#E14:102"><i><font color="Green" title="E84">A13</font></i></a>, <a class="txt" href="rcomp_3.html#E21:102"><i><font color="Green" title="E87">A16</font></i></a>, <a class="txt" href="rcomp_3.html#E20:102"><i><font color="Green" title="E86">A15</font></i></a>, <a class="ref" href="rcomp_3.html#T42" target="_self" title="RCOMP_3:th.42">Th42</a></i>;<br/><a NAME="E14:102_1_2_1_3"/>
<font color="Maroon" title="c6">G</font> <a href="seq_1.html#K2" title="SEQ_1:func.2">.</a> <span class="p1">(<span class="default"><font color="Maroon" title="c3">n</font> <a href="xcmplx_0.html#K2" title="XCMPLX_0:func.2">+</a> 1</span>)</span> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a> <font color="Maroon" title="c5">C</font> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Maroon" title="c3">n</font>
 <b>by </b><i><a class="txt" href="rcomp_3.html#E12:102"><i><font color="Green" title="E82">A11</font></i></a>, <a class="txt" href="rcomp_3.html#E14:102"><i><font color="Green" title="E84">A13</font></i></a>, <a class="txt" href="rcomp_3.html#E1:102"><i><font color="Green" title="E72">A1</font></i></a>, <a class="txt" href="rcomp_3.html#E2:102"><i><font color="Green" title="E73">A2</font></i></a>, <a class="txt" href="rcomp_3.html#E4:102"><i><font color="Green" title="E75">A4</font></i></a>, <a class="txt" href="rcomp_3.html#E3:102"><i><font color="Green" title="E74">A3</font></i></a>, <a class="txt" href="rcomp_3.html#E3:102_1_2_1_3"><i><font color="Green" title="E93">A37</font></i></a>, <a class="txt" href="rcomp_3.html#E4:102_1_2_1_3"><i><font color="Green" title="E94">A38</font></i></a>, <a class="ref" href="rcomp_3.html#T73" target="_self" title="RCOMP_3:th.73">Th73</a></i>;<br/><b>hence </b><a NAME="E15:102_1_2_1_3"/>
<span class="p1"><a href="rcomp_1.html#K1" title="RCOMP_1:func.1">[.</a><span class="default"><span class="p2">(<span class="default"><font color="Maroon" title="c6">G</font> <a href="seq_1.html#K2" title="SEQ_1:func.2">.</a> <font color="Maroon" title="c3">n</font></span>)</span>,<span class="p2">(<span class="default"><font color="Maroon" title="c6">G</font> <a href="seq_1.html#K2" title="SEQ_1:func.2">.</a> <span class="p3">(<span class="default"><font color="Maroon" title="c3">n</font> <a href="xcmplx_0.html#K2" title="XCMPLX_0:func.2">+</a> 1</span>)</span></span>)</span></span><a href="rcomp_1.html#K1" title="RCOMP_1:func.1">.]</a></span> <a href="tarski.html#R1" title="TARSKI:pred.1">c=</a> <font color="Maroon" title="c5">C</font> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Maroon" title="c3">n</font>
 <b>by </b><i><a class="txt" href="rcomp_3.html#E13:102_1_2_1_3"><i><font color="Green" title="E100">A44</font></i></a>, <a class="txt" href="rcomp_3.html#E14:102"><i><font color="Green" title="E84">A13</font></i></a>, <a class="txt" href="rcomp_3.html#E20:102"><i><font color="Green" title="E86">A15</font></i></a>, <a class="ref" href="jct_misc.html#D1" title="JCT_MISC:def.1">JCT_MISC:def 1</a></i>;<br/></div><b>end;</b></div><div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="102_1_2_1_4"><b>suppose </b></a><b>that </b><a NAME="E1:102_1_2_1_4"/><i><font color="Green" title="E91">A45</font></i>: 
1 <a href="xxreal_0.html#R1" title="XXREAL_0:pred.1">&lt;</a> <font color="Maroon" title="c3">n</font>
 <b>and </b><br/><a NAME="E2:102_1_2_1_4"/><i><font color="Green" title="E92">A46</font></i>: 
<font color="Maroon" title="c3">n</font> <a href="xcmplx_0.html#K2" title="XCMPLX_0:func.2">+</a> 1 <a href="xxreal_0.html#R1" title="XXREAL_0:pred.1">&lt;</a>  <a href="finseq_1.html#K3" title="FINSEQ_1:func.3">len</a> <font color="Maroon" title="c6">G</font>
 ;<br/><div class="add"><a NAME="E3:102_1_2_1_4"/>
<font color="Maroon" title="c3">n</font> <a href="xxreal_0.html#R1" title="XXREAL_0:pred.1">&lt;=</a>  <a href="finseq_1.html#K3" title="FINSEQ_1:func.3">len</a> <font color="Maroon" title="c5">C</font>
 <b>by </b><i><a class="txt" href="rcomp_3.html#E6:102"><i><font color="Green" title="E77">A6</font></i></a>, <a class="txt" href="rcomp_3.html#E12:102"><i><font color="Green" title="E82">A11</font></i></a>, <a class="ref" href="nat_1.html#T13" title="NAT_1:th.13">NAT_1:13</a></i>;<br/><a NAME="E4:102_1_2_1_4"/><b>then </b><i><font color="Green" title="E93">A47</font></i>: 
 <a href="pscomp_1.html#K3" title="PSCOMP_1:func.3">inf</a> <span class="p1">(<span class="default"><font color="Maroon" title="c5">C</font> <a href="finseq_4.html#K4" title="FINSEQ_4:func.4">/.</a> <font color="Maroon" title="c3">n</font></span>)</span> <a href="xxreal_0.html#R1" title="XXREAL_0:pred.1">&lt;</a> <font color="Maroon" title="c6">G</font> <a href="seq_1.html#K2" title="SEQ_1:func.2">.</a> <font color="Maroon" title="c3">n</font>
 <b>by </b><i><a class="txt" href="rcomp_3.html#E1:102"><i><font color="Green" title="E72">A1</font></i></a>, <a class="txt" href="rcomp_3.html#E2:102"><i><font color="Green" title="E73">A2</font></i></a>, <a class="txt" href="rcomp_3.html#E4:102"><i><font color="Green" title="E75">A4</font></i></a>, <a class="txt" href="rcomp_3.html#E1:102_1_2_1_4"><i><font color="Green" title="E91">A45</font></i></a>, <a class="ref" href="rcomp_3.html#T77" target="_self" title="RCOMP_3:th.77">Th77</a>, <a class="txt" href="rcomp_3.html#E3:102"><i><font color="Green" title="E74">A3</font></i></a></i>;<br/><a NAME="E5:102_1_2_1_4"/><i><font color="Green" title="E94">A48</font></i>: 
<font color="Maroon" title="c6">G</font> <a href="seq_1.html#K2" title="SEQ_1:func.2">.</a> <span class="p1">(<span class="default"><font color="Maroon" title="c3">n</font> <a href="xcmplx_0.html#K2" title="XCMPLX_0:func.2">+</a> 1</span>)</span> <a href="xxreal_0.html#R1" title="XXREAL_0:pred.1">&lt;</a>  <a href="pscomp_1.html#K2" title="PSCOMP_1:func.2">sup</a> <span class="p1">(<span class="default"><font color="Maroon" title="c5">C</font> <a href="finseq_4.html#K4" title="FINSEQ_4:func.4">/.</a> <font color="Maroon" title="c3">n</font></span>)</span>
 <b>by </b><i><a class="txt" href="rcomp_3.html#E1:102"><i><font color="Green" title="E72">A1</font></i></a>, <a class="txt" href="rcomp_3.html#E2:102"><i><font color="Green" title="E73">A2</font></i></a>, <a class="txt" href="rcomp_3.html#E4:102"><i><font color="Green" title="E75">A4</font></i></a>, <a class="txt" href="rcomp_3.html#E5:102"><i><font color="Green" title="E76">A5</font></i></a>, <a class="txt" href="rcomp_3.html#E2:102_1_2_1_4"><i><font color="Green" title="E92">A46</font></i></a>, <a class="ref" href="rcomp_3.html#T76" target="_self" title="RCOMP_3:th.76">Th76</a>, <a class="txt" href="rcomp_3.html#E3:102"><i><font color="Green" title="E74">A3</font></i></a></i>;<br/><a NAME="E6:102_1_2_1_4"/><b>then </b>
<font color="Maroon" title="c6">G</font> <a href="seq_1.html#K2" title="SEQ_1:func.2">.</a> <font color="Maroon" title="c3">n</font> <a href="xxreal_0.html#R1" title="XXREAL_0:pred.1">&lt;</a>  <a href="pscomp_1.html#K2" title="PSCOMP_1:func.2">sup</a> <span class="p1">(<span class="default"><font color="Maroon" title="c5">C</font> <a href="finseq_4.html#K4" title="FINSEQ_4:func.4">/.</a> <font color="Maroon" title="c3">n</font></span>)</span>
 <b>by </b><i><a class="txt" href="rcomp_3.html#E3:102_1_2"><i><font color="Green" title="E89">A21</font></i></a>, <a class="ref" href="xxreal_0.html#T2" title="XXREAL_0:th.2">XXREAL_0:2</a></i>;<br/><a NAME="E7:102_1_2_1_4"/><b>then </b><i><font color="Green" title="E95">A49</font></i>: 
<font color="Maroon" title="c6">G</font> <a href="seq_1.html#K2" title="SEQ_1:func.2">.</a> <font color="Maroon" title="c3">n</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a> <font color="Maroon" title="c5">C</font> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Maroon" title="c3">n</font>
 <b>by </b><i><a class="txt" href="rcomp_3.html#E4:102_1_2_1_4"><i><font color="Green" title="E93">A47</font></i></a>, <a class="txt" href="rcomp_3.html#E14:102"><i><font color="Green" title="E84">A13</font></i></a>, <a class="txt" href="rcomp_3.html#E21:102"><i><font color="Green" title="E87">A16</font></i></a>, <a class="txt" href="rcomp_3.html#E20:102"><i><font color="Green" title="E86">A15</font></i></a>, <a class="ref" href="rcomp_3.html#T42" target="_self" title="RCOMP_3:th.42">Th42</a></i>;<br/><a NAME="E8:102_1_2_1_4"/>
 <a href="pscomp_1.html#K3" title="PSCOMP_1:func.3">inf</a> <span class="p1">(<span class="default"><font color="Maroon" title="c5">C</font> <a href="finseq_4.html#K4" title="FINSEQ_4:func.4">/.</a> <font color="Maroon" title="c3">n</font></span>)</span> <a href="xxreal_0.html#R1" title="XXREAL_0:pred.1">&lt;</a> <font color="Maroon" title="c6">G</font> <a href="seq_1.html#K2" title="SEQ_1:func.2">.</a> <span class="p1">(<span class="default"><font color="Maroon" title="c3">n</font> <a href="xcmplx_0.html#K2" title="XCMPLX_0:func.2">+</a> 1</span>)</span>
 <b>by </b><i><a class="txt" href="rcomp_3.html#E4:102_1_2_1_4"><i><font color="Green" title="E93">A47</font></i></a>, <a class="txt" href="rcomp_3.html#E3:102_1_2"><i><font color="Green" title="E89">A21</font></i></a>, <a class="ref" href="xxreal_0.html#T2" title="XXREAL_0:th.2">XXREAL_0:2</a></i>;<br/><a NAME="E9:102_1_2_1_4"/><b>then </b>
<font color="Maroon" title="c6">G</font> <a href="seq_1.html#K2" title="SEQ_1:func.2">.</a> <span class="p1">(<span class="default"><font color="Maroon" title="c3">n</font> <a href="xcmplx_0.html#K2" title="XCMPLX_0:func.2">+</a> 1</span>)</span> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a> <font color="Maroon" title="c5">C</font> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Maroon" title="c3">n</font>
 <b>by </b><i><a class="txt" href="rcomp_3.html#E5:102_1_2_1_4"><i><font color="Green" title="E94">A48</font></i></a>, <a class="txt" href="rcomp_3.html#E14:102"><i><font color="Green" title="E84">A13</font></i></a>, <a class="txt" href="rcomp_3.html#E21:102"><i><font color="Green" title="E87">A16</font></i></a>, <a class="txt" href="rcomp_3.html#E20:102"><i><font color="Green" title="E86">A15</font></i></a>, <a class="ref" href="rcomp_3.html#T42" target="_self" title="RCOMP_3:th.42">Th42</a></i>;<br/><b>hence </b><a NAME="E10:102_1_2_1_4"/>
<span class="p1"><a href="rcomp_1.html#K1" title="RCOMP_1:func.1">[.</a><span class="default"><span class="p2">(<span class="default"><font color="Maroon" title="c6">G</font> <a href="seq_1.html#K2" title="SEQ_1:func.2">.</a> <font color="Maroon" title="c3">n</font></span>)</span>,<span class="p2">(<span class="default"><font color="Maroon" title="c6">G</font> <a href="seq_1.html#K2" title="SEQ_1:func.2">.</a> <span class="p3">(<span class="default"><font color="Maroon" title="c3">n</font> <a href="xcmplx_0.html#K2" title="XCMPLX_0:func.2">+</a> 1</span>)</span></span>)</span></span><a href="rcomp_1.html#K1" title="RCOMP_1:func.1">.]</a></span> <a href="tarski.html#R1" title="TARSKI:pred.1">c=</a> <font color="Maroon" title="c5">C</font> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Maroon" title="c3">n</font>
 <b>by </b><i><a class="txt" href="rcomp_3.html#E14:102"><i><font color="Green" title="E84">A13</font></i></a>, <a class="txt" href="rcomp_3.html#E7:102_1_2_1_4"><i><font color="Green" title="E95">A49</font></i></a>, <a class="txt" href="rcomp_3.html#E20:102"><i><font color="Green" title="E86">A15</font></i></a>, <a class="ref" href="jct_misc.html#D1" title="JCT_MISC:def.1">JCT_MISC:def 1</a></i>;<br/></div><b>end;</b></div></div><b>end;</b></div></div><b>end;</b></div></div><b>end;</b></div>

</div>
