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

<b>let </b><font color="Maroon" title="c1">X1</font>, <font color="Maroon" title="c2">X2</font>, <font color="Maroon" title="c3">X3</font>, <font color="Maroon" title="c4">X4</font>, <font color="Maroon" title="c5">X5</font>, <font color="Maroon" title="c6">X6</font>, <font color="Maroon" title="c7">X7</font>, <font color="Maroon" title="c8">X8</font> be    <a href="hidden.html#M1" title="HIDDEN:mode.1">set</a> ; <a class="txt" onclick="hs(this)" href="javascript:()"><i><font color="Red">::  thesis: </font></i></a><span class="hide"> ( <font color="Maroon" title="c1">X1</font> <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a>  <a href="xboole_0.html#K1" title="XBOOLE_0:func.1">{}</a>  &amp; <font color="Maroon" title="c2">X2</font> <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a>  <a href="xboole_0.html#K1" title="XBOOLE_0:func.1">{}</a>  &amp; <font color="Maroon" title="c3">X3</font> <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a>  <a href="xboole_0.html#K1" title="XBOOLE_0:func.1">{}</a>  &amp; <font color="Maroon" title="c4">X4</font> <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a>  <a href="xboole_0.html#K1" title="XBOOLE_0:func.1">{}</a>  &amp; <font color="Maroon" title="c5">X5</font> <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a>  <a href="xboole_0.html#K1" title="XBOOLE_0:func.1">{}</a>  &amp; <font color="Maroon" title="c6">X6</font> <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a>  <a href="xboole_0.html#K1" title="XBOOLE_0:func.1">{}</a>  &amp; <font color="Maroon" title="c7">X7</font> <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a>  <a href="xboole_0.html#K1" title="XBOOLE_0:func.1">{}</a>  &amp; <font color="Maroon" title="c8">X8</font> <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a>  <a href="xboole_0.html#K1" title="XBOOLE_0:func.1">{}</a>  implies for <font color="Olive" title="b1">x</font> being   <a href="subset_1.html#M1" title="SUBSET_1:mode.1">Element</a> of <span class="p1"><a href="mcart_3.html#K19" title="MCART_3:func.19">[:</a><span class="default"><font color="Maroon" title="c1">X1</font>,<font color="Maroon" title="c2">X2</font>,<font color="Maroon" title="c3">X3</font>,<font color="Maroon" title="c4">X4</font>,<font color="Maroon" title="c5">X5</font>,<font color="Maroon" title="c6">X6</font>,<font color="Maroon" title="c7">X7</font>,<font color="Maroon" title="c8">X8</font></span><a href="mcart_3.html#K19" title="MCART_3:func.19">:]</a></span>  ex <font color="Olive" title="b2">xx1</font> being   <a href="subset_1.html#M1" title="SUBSET_1:mode.1">Element</a> of <font color="Maroon" title="c1">X1</font> ex <font color="Olive" title="b3">xx2</font> being   <a href="subset_1.html#M1" title="SUBSET_1:mode.1">Element</a> of <font color="Maroon" title="c2">X2</font> ex <font color="Olive" title="b4">xx3</font> being   <a href="subset_1.html#M1" title="SUBSET_1:mode.1">Element</a> of <font color="Maroon" title="c3">X3</font> ex <font color="Olive" title="b5">xx4</font> being   <a href="subset_1.html#M1" title="SUBSET_1:mode.1">Element</a> of <font color="Maroon" title="c4">X4</font> ex <font color="Olive" title="b6">xx5</font> being   <a href="subset_1.html#M1" title="SUBSET_1:mode.1">Element</a> of <font color="Maroon" title="c5">X5</font> ex <font color="Olive" title="b7">xx6</font> being   <a href="subset_1.html#M1" title="SUBSET_1:mode.1">Element</a> of <font color="Maroon" title="c6">X6</font> ex <font color="Olive" title="b8">xx7</font> being   <a href="subset_1.html#M1" title="SUBSET_1:mode.1">Element</a> of <font color="Maroon" title="c7">X7</font> ex <font color="Olive" title="b9">xx8</font> being   <a href="subset_1.html#M1" title="SUBSET_1:mode.1">Element</a> of <font color="Maroon" title="c8">X8</font> st <font color="Olive" title="b1">x</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1"><a href="mcart_3.html#K18" title="MCART_3:func.18">[</a><span class="default"><font color="Olive" title="b2">xx1</font>,<font color="Olive" title="b3">xx2</font>,<font color="Olive" title="b4">xx3</font>,<font color="Olive" title="b5">xx4</font>,<font color="Olive" title="b6">xx5</font>,<font color="Olive" title="b7">xx6</font>,<font color="Olive" title="b8">xx7</font>,<font color="Olive" title="b9">xx8</font></span><a href="mcart_3.html#K18" title="MCART_3:func.18">]</a></span> )</span><br/>















<b>assume </b><a NAME="E1:90"/><i><font color="Green" title="E59">A1</font></i>: 
( <font color="Maroon" title="c1">X1</font> <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a>  <a href="xboole_0.html#K1" title="XBOOLE_0:func.1">{}</a>  &amp; <font color="Maroon" title="c2">X2</font> <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a>  <a href="xboole_0.html#K1" title="XBOOLE_0:func.1">{}</a>  &amp; <font color="Maroon" title="c3">X3</font> <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a>  <a href="xboole_0.html#K1" title="XBOOLE_0:func.1">{}</a>  &amp; <font color="Maroon" title="c4">X4</font> <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a>  <a href="xboole_0.html#K1" title="XBOOLE_0:func.1">{}</a>  &amp; <font color="Maroon" title="c5">X5</font> <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a>  <a href="xboole_0.html#K1" title="XBOOLE_0:func.1">{}</a>  &amp; <font color="Maroon" title="c6">X6</font> <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a>  <a href="xboole_0.html#K1" title="XBOOLE_0:func.1">{}</a>  &amp; <font color="Maroon" title="c7">X7</font> <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a>  <a href="xboole_0.html#K1" title="XBOOLE_0:func.1">{}</a>  &amp; <font color="Maroon" title="c8">X8</font> <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a>  <a href="xboole_0.html#K1" title="XBOOLE_0:func.1">{}</a>  )
 ; <a class="txt" onclick="hs(this)" href="javascript:()"><i><font color="Red">::  thesis: </font></i></a><span class="hide"> for <font color="Olive" title="b1">x</font> being   <a href="subset_1.html#M1" title="SUBSET_1:mode.1">Element</a> of <span class="p1"><a href="mcart_3.html#K19" title="MCART_3:func.19">[:</a><span class="default"><font color="Maroon" title="c1">X1</font>,<font color="Maroon" title="c2">X2</font>,<font color="Maroon" title="c3">X3</font>,<font color="Maroon" title="c4">X4</font>,<font color="Maroon" title="c5">X5</font>,<font color="Maroon" title="c6">X6</font>,<font color="Maroon" title="c7">X7</font>,<font color="Maroon" title="c8">X8</font></span><a href="mcart_3.html#K19" title="MCART_3:func.19">:]</a></span>  ex <font color="Olive" title="b2">xx1</font> being   <a href="subset_1.html#M1" title="SUBSET_1:mode.1">Element</a> of <font color="Maroon" title="c1">X1</font> ex <font color="Olive" title="b3">xx2</font> being   <a href="subset_1.html#M1" title="SUBSET_1:mode.1">Element</a> of <font color="Maroon" title="c2">X2</font> ex <font color="Olive" title="b4">xx3</font> being   <a href="subset_1.html#M1" title="SUBSET_1:mode.1">Element</a> of <font color="Maroon" title="c3">X3</font> ex <font color="Olive" title="b5">xx4</font> being   <a href="subset_1.html#M1" title="SUBSET_1:mode.1">Element</a> of <font color="Maroon" title="c4">X4</font> ex <font color="Olive" title="b6">xx5</font> being   <a href="subset_1.html#M1" title="SUBSET_1:mode.1">Element</a> of <font color="Maroon" title="c5">X5</font> ex <font color="Olive" title="b7">xx6</font> being   <a href="subset_1.html#M1" title="SUBSET_1:mode.1">Element</a> of <font color="Maroon" title="c6">X6</font> ex <font color="Olive" title="b8">xx7</font> being   <a href="subset_1.html#M1" title="SUBSET_1:mode.1">Element</a> of <font color="Maroon" title="c7">X7</font> ex <font color="Olive" title="b9">xx8</font> being   <a href="subset_1.html#M1" title="SUBSET_1:mode.1">Element</a> of <font color="Maroon" title="c8">X8</font> st <font color="Olive" title="b1">x</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1"><a href="mcart_3.html#K18" title="MCART_3:func.18">[</a><span class="default"><font color="Olive" title="b2">xx1</font>,<font color="Olive" title="b3">xx2</font>,<font color="Olive" title="b4">xx3</font>,<font color="Olive" title="b5">xx4</font>,<font color="Olive" title="b6">xx5</font>,<font color="Olive" title="b7">xx6</font>,<font color="Olive" title="b8">xx7</font>,<font color="Olive" title="b9">xx8</font></span><a href="mcart_3.html#K18" title="MCART_3:func.18">]</a></span></span><br/>

<a NAME="E2:90"/><b>then </b><i><font color="Green" title="E60">A2</font></i>: 
<span class="p1"><a href="mcart_3.html#K10" title="MCART_3:func.10">[:</a><span class="default"><font color="Maroon" title="c1">X1</font>,<font color="Maroon" title="c2">X2</font>,<font color="Maroon" title="c3">X3</font>,<font color="Maroon" title="c4">X4</font>,<font color="Maroon" title="c5">X5</font>,<font color="Maroon" title="c6">X6</font>,<font color="Maroon" title="c7">X7</font></span><a href="mcart_3.html#K10" title="MCART_3:func.10">:]</a></span> <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a>  <a href="xboole_0.html#K1" title="XBOOLE_0:func.1">{}</a> 
 
<b>by </b><i><a class="ref" href="mcart_3.html#T52" target="_self" title="MCART_3:th.52">MC352</a></i>;<br/>
<b>let </b><font color="Maroon" title="c9">x</font> be    <a href="subset_1.html#M1" title="SUBSET_1:mode.1">Element</a> of <span class="p1"><a href="mcart_3.html#K19" title="MCART_3:func.19">[:</a><span class="default"><font color="Maroon" title="c1">X1</font>,<font color="Maroon" title="c2">X2</font>,<font color="Maroon" title="c3">X3</font>,<font color="Maroon" title="c4">X4</font>,<font color="Maroon" title="c5">X5</font>,<font color="Maroon" title="c6">X6</font>,<font color="Maroon" title="c7">X7</font>,<font color="Maroon" title="c8">X8</font></span><a href="mcart_3.html#K19" title="MCART_3:func.19">:]</a></span>; <a class="txt" onclick="hs(this)" href="javascript:()"><i><font color="Red">::  thesis: </font></i></a><span class="hide">  ex <font color="Olive" title="b1">xx1</font> being   <a href="subset_1.html#M1" title="SUBSET_1:mode.1">Element</a> of <font color="Maroon" title="c1">X1</font> ex <font color="Olive" title="b2">xx2</font> being   <a href="subset_1.html#M1" title="SUBSET_1:mode.1">Element</a> of <font color="Maroon" title="c2">X2</font> ex <font color="Olive" title="b3">xx3</font> being   <a href="subset_1.html#M1" title="SUBSET_1:mode.1">Element</a> of <font color="Maroon" title="c3">X3</font> ex <font color="Olive" title="b4">xx4</font> being   <a href="subset_1.html#M1" title="SUBSET_1:mode.1">Element</a> of <font color="Maroon" title="c4">X4</font> ex <font color="Olive" title="b5">xx5</font> being   <a href="subset_1.html#M1" title="SUBSET_1:mode.1">Element</a> of <font color="Maroon" title="c5">X5</font> ex <font color="Olive" title="b6">xx6</font> being   <a href="subset_1.html#M1" title="SUBSET_1:mode.1">Element</a> of <font color="Maroon" title="c6">X6</font> ex <font color="Olive" title="b7">xx7</font> being   <a href="subset_1.html#M1" title="SUBSET_1:mode.1">Element</a> of <font color="Maroon" title="c7">X7</font> ex <font color="Olive" title="b8">xx8</font> being   <a href="subset_1.html#M1" title="SUBSET_1:mode.1">Element</a> of <font color="Maroon" title="c8">X8</font> st <font color="Maroon" title="c9">x</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1"><a href="mcart_3.html#K18" title="MCART_3:func.18">[</a><span class="default"><font color="Olive" title="b1">xx1</font>,<font color="Olive" title="b2">xx2</font>,<font color="Olive" title="b3">xx3</font>,<font color="Olive" title="b4">xx4</font>,<font color="Olive" title="b5">xx5</font>,<font color="Olive" title="b6">xx6</font>,<font color="Olive" title="b7">xx7</font>,<font color="Olive" title="b8">xx8</font></span><a href="mcart_3.html#K18" title="MCART_3:func.18">]</a></span></span><br/>

<b>reconsider </b><font color="Maroon" title="c10">x'</font> = <font color="Maroon" title="c9">x</font> as    <a href="subset_1.html#M1" title="SUBSET_1:mode.1">Element</a> of <span class="p1"><a href="zfmisc_1.html#K2" title="ZFMISC_1:func.2">[:</a><span class="default"><span class="p2"><a href="mcart_3.html#K10" title="MCART_3:func.10">[:</a><span class="default"><font color="Maroon" title="c1">X1</font>,<font color="Maroon" title="c2">X2</font>,<font color="Maroon" title="c3">X3</font>,<font color="Maroon" title="c4">X4</font>,<font color="Maroon" title="c5">X5</font>,<font color="Maroon" title="c6">X6</font>,<font color="Maroon" title="c7">X7</font></span><a href="mcart_3.html#K10" title="MCART_3:func.10">:]</a></span>,<font color="Maroon" title="c8">X8</font></span><a href="zfmisc_1.html#K2" title="ZFMISC_1:func.2">:]</a></span> ;<br/>
<b>consider </b><font color="Maroon" title="c11">x1234567</font> being    <a href="subset_1.html#M1" title="SUBSET_1:mode.1">Element</a> of <span class="p1"><a href="mcart_3.html#K10" title="MCART_3:func.10">[:</a><span class="default"><font color="Maroon" title="c1">X1</font>,<font color="Maroon" title="c2">X2</font>,<font color="Maroon" title="c3">X3</font>,<font color="Maroon" title="c4">X4</font>,<font color="Maroon" title="c5">X5</font>,<font color="Maroon" title="c6">X6</font>,<font color="Maroon" title="c7">X7</font></span><a href="mcart_3.html#K10" title="MCART_3:func.10">:]</a></span>, <font color="Maroon" title="c12">xx8</font> being    <a href="subset_1.html#M1" title="SUBSET_1:mode.1">Element</a> of <font color="Maroon" title="c8">X8</font><b> such that </b><br/><a NAME="E5:90"/><i><font color="Green" title="E61">A3</font></i>: 
<font color="Maroon" title="c10">x'</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1"><a href="tarski.html#K4" title="TARSKI:func.4">[</a><span class="default"><font color="Maroon" title="c11">x1234567</font>,<font color="Maroon" title="c12">xx8</font></span><a href="tarski.html#K4" title="TARSKI:func.4">]</a></span>
 <b>by </b><i><a class="txt" href="#E1:90"><i><font color="Green" title="E59">A1</font></i></a>, <a class="txt" href="#E2:90"><i><font color="Green" title="E60">A2</font></i></a>, <a class="ref" href="mcart_2.html#T36" title="MCART_2:th.36">MCART_2:36</a></i>;<br/>
<b>consider </b><font color="Maroon" title="c13">xx1</font> being    <a href="subset_1.html#M1" title="SUBSET_1:mode.1">Element</a> of <font color="Maroon" title="c1">X1</font>, <font color="Maroon" title="c14">xx2</font> being    <a href="subset_1.html#M1" title="SUBSET_1:mode.1">Element</a> of <font color="Maroon" title="c2">X2</font>, <font color="Maroon" title="c15">xx3</font> being    <a href="subset_1.html#M1" title="SUBSET_1:mode.1">Element</a> of <font color="Maroon" title="c3">X3</font>, <font color="Maroon" title="c16">xx4</font> being    <a href="subset_1.html#M1" title="SUBSET_1:mode.1">Element</a> of <font color="Maroon" title="c4">X4</font>, <font color="Maroon" title="c17">xx5</font> being    <a href="subset_1.html#M1" title="SUBSET_1:mode.1">Element</a> of <font color="Maroon" title="c5">X5</font>, <font color="Maroon" title="c18">xx6</font> being    <a href="subset_1.html#M1" title="SUBSET_1:mode.1">Element</a> of <font color="Maroon" title="c6">X6</font>, <font color="Maroon" title="c19">xx7</font> being    <a href="subset_1.html#M1" title="SUBSET_1:mode.1">Element</a> of <font color="Maroon" title="c7">X7</font><b> such that </b><br/><a NAME="E7:90"/><i><font color="Green" title="E62">A4</font></i>: 
<font color="Maroon" title="c11">x1234567</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1"><a href="mcart_3.html#K9" title="MCART_3:func.9">[</a><span class="default"><font color="Maroon" title="c13">xx1</font>,<font color="Maroon" title="c14">xx2</font>,<font color="Maroon" title="c15">xx3</font>,<font color="Maroon" title="c16">xx4</font>,<font color="Maroon" title="c17">xx5</font>,<font color="Maroon" title="c18">xx6</font>,<font color="Maroon" title="c19">xx7</font></span><a href="mcart_3.html#K9" title="MCART_3:func.9">]</a></span>
 <b>by </b><i><a class="txt" href="#E1:90"><i><font color="Green" title="E59">A1</font></i></a>, <a class="ref" href="mcart_3.html#T56" target="_self" title="MCART_3:th.56">MC356</a></i>;<br/>
<b>take </b>
<font color="Maroon" title="c13">xx1</font>
; <a class="txt" onclick="hs(this)" href="javascript:()"><i><font color="Red">::  thesis: </font></i></a><span class="hide">  ex <font color="Olive" title="b1">xx2</font> being   <a href="subset_1.html#M1" title="SUBSET_1:mode.1">Element</a> of <font color="Maroon" title="c2">X2</font> ex <font color="Olive" title="b2">xx3</font> being   <a href="subset_1.html#M1" title="SUBSET_1:mode.1">Element</a> of <font color="Maroon" title="c3">X3</font> ex <font color="Olive" title="b3">xx4</font> being   <a href="subset_1.html#M1" title="SUBSET_1:mode.1">Element</a> of <font color="Maroon" title="c4">X4</font> ex <font color="Olive" title="b4">xx5</font> being   <a href="subset_1.html#M1" title="SUBSET_1:mode.1">Element</a> of <font color="Maroon" title="c5">X5</font> ex <font color="Olive" title="b5">xx6</font> being   <a href="subset_1.html#M1" title="SUBSET_1:mode.1">Element</a> of <font color="Maroon" title="c6">X6</font> ex <font color="Olive" title="b6">xx7</font> being   <a href="subset_1.html#M1" title="SUBSET_1:mode.1">Element</a> of <font color="Maroon" title="c7">X7</font> ex <font color="Olive" title="b7">xx8</font> being   <a href="subset_1.html#M1" title="SUBSET_1:mode.1">Element</a> of <font color="Maroon" title="c8">X8</font> st <font color="Maroon" title="c9">x</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1"><a href="mcart_3.html#K18" title="MCART_3:func.18">[</a><span class="default"><font color="Maroon" title="c13">xx1</font>,<font color="Olive" title="b1">xx2</font>,<font color="Olive" title="b2">xx3</font>,<font color="Olive" title="b3">xx4</font>,<font color="Olive" title="b4">xx5</font>,<font color="Olive" title="b5">xx6</font>,<font color="Olive" title="b6">xx7</font>,<font color="Olive" title="b7">xx8</font></span><a href="mcart_3.html#K18" title="MCART_3:func.18">]</a></span></span><br/>

<b>take </b>
<font color="Maroon" title="c14">xx2</font>
; <a class="txt" onclick="hs(this)" href="javascript:()"><i><font color="Red">::  thesis: </font></i></a><span class="hide">  ex <font color="Olive" title="b1">xx3</font> being   <a href="subset_1.html#M1" title="SUBSET_1:mode.1">Element</a> of <font color="Maroon" title="c3">X3</font> ex <font color="Olive" title="b2">xx4</font> being   <a href="subset_1.html#M1" title="SUBSET_1:mode.1">Element</a> of <font color="Maroon" title="c4">X4</font> ex <font color="Olive" title="b3">xx5</font> being   <a href="subset_1.html#M1" title="SUBSET_1:mode.1">Element</a> of <font color="Maroon" title="c5">X5</font> ex <font color="Olive" title="b4">xx6</font> being   <a href="subset_1.html#M1" title="SUBSET_1:mode.1">Element</a> of <font color="Maroon" title="c6">X6</font> ex <font color="Olive" title="b5">xx7</font> being   <a href="subset_1.html#M1" title="SUBSET_1:mode.1">Element</a> of <font color="Maroon" title="c7">X7</font> ex <font color="Olive" title="b6">xx8</font> being   <a href="subset_1.html#M1" title="SUBSET_1:mode.1">Element</a> of <font color="Maroon" title="c8">X8</font> st <font color="Maroon" title="c9">x</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1"><a href="mcart_3.html#K18" title="MCART_3:func.18">[</a><span class="default"><font color="Maroon" title="c13">xx1</font>,<font color="Maroon" title="c14">xx2</font>,<font color="Olive" title="b1">xx3</font>,<font color="Olive" title="b2">xx4</font>,<font color="Olive" title="b3">xx5</font>,<font color="Olive" title="b4">xx6</font>,<font color="Olive" title="b5">xx7</font>,<font color="Olive" title="b6">xx8</font></span><a href="mcart_3.html#K18" title="MCART_3:func.18">]</a></span></span><br/>

<b>take </b>
<font color="Maroon" title="c15">xx3</font>
; <a class="txt" onclick="hs(this)" href="javascript:()"><i><font color="Red">::  thesis: </font></i></a><span class="hide">  ex <font color="Olive" title="b1">xx4</font> being   <a href="subset_1.html#M1" title="SUBSET_1:mode.1">Element</a> of <font color="Maroon" title="c4">X4</font> ex <font color="Olive" title="b2">xx5</font> being   <a href="subset_1.html#M1" title="SUBSET_1:mode.1">Element</a> of <font color="Maroon" title="c5">X5</font> ex <font color="Olive" title="b3">xx6</font> being   <a href="subset_1.html#M1" title="SUBSET_1:mode.1">Element</a> of <font color="Maroon" title="c6">X6</font> ex <font color="Olive" title="b4">xx7</font> being   <a href="subset_1.html#M1" title="SUBSET_1:mode.1">Element</a> of <font color="Maroon" title="c7">X7</font> ex <font color="Olive" title="b5">xx8</font> being   <a href="subset_1.html#M1" title="SUBSET_1:mode.1">Element</a> of <font color="Maroon" title="c8">X8</font> st <font color="Maroon" title="c9">x</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1"><a href="mcart_3.html#K18" title="MCART_3:func.18">[</a><span class="default"><font color="Maroon" title="c13">xx1</font>,<font color="Maroon" title="c14">xx2</font>,<font color="Maroon" title="c15">xx3</font>,<font color="Olive" title="b1">xx4</font>,<font color="Olive" title="b2">xx5</font>,<font color="Olive" title="b3">xx6</font>,<font color="Olive" title="b4">xx7</font>,<font color="Olive" title="b5">xx8</font></span><a href="mcart_3.html#K18" title="MCART_3:func.18">]</a></span></span><br/>

<b>take </b>
<font color="Maroon" title="c16">xx4</font>
; <a class="txt" onclick="hs(this)" href="javascript:()"><i><font color="Red">::  thesis: </font></i></a><span class="hide">  ex <font color="Olive" title="b1">xx5</font> being   <a href="subset_1.html#M1" title="SUBSET_1:mode.1">Element</a> of <font color="Maroon" title="c5">X5</font> ex <font color="Olive" title="b2">xx6</font> being   <a href="subset_1.html#M1" title="SUBSET_1:mode.1">Element</a> of <font color="Maroon" title="c6">X6</font> ex <font color="Olive" title="b3">xx7</font> being   <a href="subset_1.html#M1" title="SUBSET_1:mode.1">Element</a> of <font color="Maroon" title="c7">X7</font> ex <font color="Olive" title="b4">xx8</font> being   <a href="subset_1.html#M1" title="SUBSET_1:mode.1">Element</a> of <font color="Maroon" title="c8">X8</font> st <font color="Maroon" title="c9">x</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1"><a href="mcart_3.html#K18" title="MCART_3:func.18">[</a><span class="default"><font color="Maroon" title="c13">xx1</font>,<font color="Maroon" title="c14">xx2</font>,<font color="Maroon" title="c15">xx3</font>,<font color="Maroon" title="c16">xx4</font>,<font color="Olive" title="b1">xx5</font>,<font color="Olive" title="b2">xx6</font>,<font color="Olive" title="b3">xx7</font>,<font color="Olive" title="b4">xx8</font></span><a href="mcart_3.html#K18" title="MCART_3:func.18">]</a></span></span><br/>

<b>take </b>
<font color="Maroon" title="c17">xx5</font>
; <a class="txt" onclick="hs(this)" href="javascript:()"><i><font color="Red">::  thesis: </font></i></a><span class="hide">  ex <font color="Olive" title="b1">xx6</font> being   <a href="subset_1.html#M1" title="SUBSET_1:mode.1">Element</a> of <font color="Maroon" title="c6">X6</font> ex <font color="Olive" title="b2">xx7</font> being   <a href="subset_1.html#M1" title="SUBSET_1:mode.1">Element</a> of <font color="Maroon" title="c7">X7</font> ex <font color="Olive" title="b3">xx8</font> being   <a href="subset_1.html#M1" title="SUBSET_1:mode.1">Element</a> of <font color="Maroon" title="c8">X8</font> st <font color="Maroon" title="c9">x</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1"><a href="mcart_3.html#K18" title="MCART_3:func.18">[</a><span class="default"><font color="Maroon" title="c13">xx1</font>,<font color="Maroon" title="c14">xx2</font>,<font color="Maroon" title="c15">xx3</font>,<font color="Maroon" title="c16">xx4</font>,<font color="Maroon" title="c17">xx5</font>,<font color="Olive" title="b1">xx6</font>,<font color="Olive" title="b2">xx7</font>,<font color="Olive" title="b3">xx8</font></span><a href="mcart_3.html#K18" title="MCART_3:func.18">]</a></span></span><br/>

<b>take </b>
<font color="Maroon" title="c18">xx6</font>
; <a class="txt" onclick="hs(this)" href="javascript:()"><i><font color="Red">::  thesis: </font></i></a><span class="hide">  ex <font color="Olive" title="b1">xx7</font> being   <a href="subset_1.html#M1" title="SUBSET_1:mode.1">Element</a> of <font color="Maroon" title="c7">X7</font> ex <font color="Olive" title="b2">xx8</font> being   <a href="subset_1.html#M1" title="SUBSET_1:mode.1">Element</a> of <font color="Maroon" title="c8">X8</font> st <font color="Maroon" title="c9">x</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1"><a href="mcart_3.html#K18" title="MCART_3:func.18">[</a><span class="default"><font color="Maroon" title="c13">xx1</font>,<font color="Maroon" title="c14">xx2</font>,<font color="Maroon" title="c15">xx3</font>,<font color="Maroon" title="c16">xx4</font>,<font color="Maroon" title="c17">xx5</font>,<font color="Maroon" title="c18">xx6</font>,<font color="Olive" title="b1">xx7</font>,<font color="Olive" title="b2">xx8</font></span><a href="mcart_3.html#K18" title="MCART_3:func.18">]</a></span></span><br/>

<b>take </b>
<font color="Maroon" title="c19">xx7</font>
; <a class="txt" onclick="hs(this)" href="javascript:()"><i><font color="Red">::  thesis: </font></i></a><span class="hide">  ex <font color="Olive" title="b1">xx8</font> being   <a href="subset_1.html#M1" title="SUBSET_1:mode.1">Element</a> of <font color="Maroon" title="c8">X8</font> st <font color="Maroon" title="c9">x</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1"><a href="mcart_3.html#K18" title="MCART_3:func.18">[</a><span class="default"><font color="Maroon" title="c13">xx1</font>,<font color="Maroon" title="c14">xx2</font>,<font color="Maroon" title="c15">xx3</font>,<font color="Maroon" title="c16">xx4</font>,<font color="Maroon" title="c17">xx5</font>,<font color="Maroon" title="c18">xx6</font>,<font color="Maroon" title="c19">xx7</font>,<font color="Olive" title="b1">xx8</font></span><a href="mcart_3.html#K18" title="MCART_3:func.18">]</a></span></span><br/>

<b>take </b>
<font color="Maroon" title="c12">xx8</font>
; <a class="txt" onclick="hs(this)" href="javascript:()"><i><font color="Red">::  thesis: </font></i></a><span class="hide"> <font color="Maroon" title="c9">x</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1"><a href="mcart_3.html#K18" title="MCART_3:func.18">[</a><span class="default"><font color="Maroon" title="c13">xx1</font>,<font color="Maroon" title="c14">xx2</font>,<font color="Maroon" title="c15">xx3</font>,<font color="Maroon" title="c16">xx4</font>,<font color="Maroon" title="c17">xx5</font>,<font color="Maroon" title="c18">xx6</font>,<font color="Maroon" title="c19">xx7</font>,<font color="Maroon" title="c12">xx8</font></span><a href="mcart_3.html#K18" title="MCART_3:func.18">]</a></span></span><br/>

<b>thus </b><a NAME="E8:90"/>
<font color="Maroon" title="c9">x</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1"><a href="mcart_3.html#K18" title="MCART_3:func.18">[</a><span class="default"><font color="Maroon" title="c13">xx1</font>,<font color="Maroon" title="c14">xx2</font>,<font color="Maroon" title="c15">xx3</font>,<font color="Maroon" title="c16">xx4</font>,<font color="Maroon" title="c17">xx5</font>,<font color="Maroon" title="c18">xx6</font>,<font color="Maroon" title="c19">xx7</font>,<font color="Maroon" title="c12">xx8</font></span><a href="mcart_3.html#K18" title="MCART_3:func.18">]</a></span>
 <b>by </b><i><a class="txt" href="#E5:90"><i><font color="Green" title="E61">A3</font></i></a>, <a class="txt" href="#E7:90"><i><font color="Green" title="E62">A4</font></i></a></i>; <a class="txt" onclick="hs(this)" href="javascript:()"><i><font color="Red">::  thesis: </font></i></a><span class="hide"> verum</span><br/>


</div>
