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

<b>let </b><font color="Maroon">c<sub>1</sub></font>, <font color="Maroon">c<sub>2</sub></font>, <font color="Maroon">c<sub>3</sub></font>, <font color="Maroon">c<sub>4</sub></font> be    <a href="hidden.html#M1">set</a> ;<br/>







<b>assume </b><a NAME="E1:61"/><i><font color="Green">E42</font></i>: 
( <font color="Maroon">c<sub>1</sub></font> <a href="hidden.html#NR2" target="_self">&lt;&gt;</a>  <a href="xboole_0.html#K1">{}</a>  &amp; <font color="Maroon">c<sub>2</sub></font> <a href="hidden.html#NR2" target="_self">&lt;&gt;</a>  <a href="xboole_0.html#K1">{}</a>  &amp; <font color="Maroon">c<sub>3</sub></font> <a href="hidden.html#NR2" target="_self">&lt;&gt;</a>  <a href="xboole_0.html#K1">{}</a>  &amp; <font color="Maroon">c<sub>4</sub></font> <a href="hidden.html#NR2" target="_self">&lt;&gt;</a>  <a href="xboole_0.html#K1">{}</a>  )
 ;<br/>

<a NAME="E2:61"/><b>then </b><i><font color="Green">E43</font></i>: 
<span class="p1"><a href="zfmisc_1.html#K2">[:</a><span class="default"><font color="Maroon">c<sub>1</sub></font>,<font color="Maroon">c<sub>2</sub></font></span><a href="zfmisc_1.html#K2">:]</a></span> <a href="hidden.html#NR2" target="_self">&lt;&gt;</a>  <a href="xboole_0.html#K1">{}</a> 
 
<b>by </b><i><a class="ref" href="zfmisc_1.html#T113">ZFMISC_1:113</a></i>;<br/>
<b>let </b><font color="Maroon">c<sub>5</sub></font> be    <a href="subset_1.html#M1">Element</a> of <span class="p1"><a href="zfmisc_1.html#K4">[:</a><span class="default"><font color="Maroon">c<sub>1</sub></font>,<font color="Maroon">c<sub>2</sub></font>,<font color="Maroon">c<sub>3</sub></font>,<font color="Maroon">c<sub>4</sub></font></span><a href="zfmisc_1.html#K4">:]</a></span>;<br/>

<b>set </b><font color="Maroon">c<sub>6</sub></font> = <span class="p1"><a href="tarski.html#K2">{</a><span class="default"><span class="p2">(<span class="default"><font color="Maroon">c<sub>5</sub></font> <a href="mcart_1.html#K8" target="_self">`1</a> </span>)</span>,<span class="p2">(<span class="default"><font color="Maroon">c<sub>5</sub></font> <a href="mcart_1.html#K9" target="_self">`2</a> </span>)</span></span><a href="tarski.html#K2">}</a></span>;<br/>
<b>set </b><font color="Maroon">c<sub>7</sub></font> = <span class="p1"><a href="tarski.html#K2">{</a><span class="default"><span class="p2"><a href="tarski.html#K2">{</a><span class="default"><span class="p3">(<span class="default"><font color="Maroon">c<sub>5</sub></font> <a href="mcart_1.html#K8" target="_self">`1</a> </span>)</span>,<span class="p3">(<span class="default"><font color="Maroon">c<sub>5</sub></font> <a href="mcart_1.html#K9" target="_self">`2</a> </span>)</span></span><a href="tarski.html#K2">}</a></span>,<span class="p2"><a href="tarski.html#K1">{</a><span class="default"><span class="p3">(<span class="default"><font color="Maroon">c<sub>5</sub></font> <a href="mcart_1.html#K8" target="_self">`1</a> </span>)</span></span><a href="tarski.html#K1">}</a></span></span><a href="tarski.html#K2">}</a></span>;<br/>
<b>set </b><font color="Maroon">c<sub>8</sub></font> = <span class="p1"><a href="tarski.html#K2">{</a><span class="default"><span class="p2"><a href="tarski.html#K2">{</a><span class="default"><span class="p3"><a href="tarski.html#K2">{</a><span class="default"><span class="p4">(<span class="default"><font color="Maroon">c<sub>5</sub></font> <a href="mcart_1.html#K8" target="_self">`1</a> </span>)</span>,<span class="p4">(<span class="default"><font color="Maroon">c<sub>5</sub></font> <a href="mcart_1.html#K9" target="_self">`2</a> </span>)</span></span><a href="tarski.html#K2">}</a></span>,<span class="p3"><a href="tarski.html#K1">{</a><span class="default"><span class="p4">(<span class="default"><font color="Maroon">c<sub>5</sub></font> <a href="mcart_1.html#K8" target="_self">`1</a> </span>)</span></span><a href="tarski.html#K1">}</a></span></span><a href="tarski.html#K2">}</a></span>,<span class="p2">(<span class="default"><font color="Maroon">c<sub>5</sub></font> <a href="mcart_1.html#K10" target="_self">`3</a> </span>)</span></span><a href="tarski.html#K2">}</a></span>;<br/>
<b>set </b><font color="Maroon">c<sub>9</sub></font> = <span class="p1"><a href="tarski.html#K2">{</a><span class="default"><span class="p2"><a href="tarski.html#K2">{</a><span class="default"><span class="p3"><a href="tarski.html#K2">{</a><span class="default"><span class="p4"><a href="tarski.html#K2">{</a><span class="default"><span class="p5">(<span class="default"><font color="Maroon">c<sub>5</sub></font> <a href="mcart_1.html#K8" target="_self">`1</a> </span>)</span>,<span class="p5">(<span class="default"><font color="Maroon">c<sub>5</sub></font> <a href="mcart_1.html#K9" target="_self">`2</a> </span>)</span></span><a href="tarski.html#K2">}</a></span>,<span class="p4"><a href="tarski.html#K1">{</a><span class="default"><span class="p5">(<span class="default"><font color="Maroon">c<sub>5</sub></font> <a href="mcart_1.html#K8" target="_self">`1</a> </span>)</span></span><a href="tarski.html#K1">}</a></span></span><a href="tarski.html#K2">}</a></span>,<span class="p3">(<span class="default"><font color="Maroon">c<sub>5</sub></font> <a href="mcart_1.html#K10" target="_self">`3</a> </span>)</span></span><a href="tarski.html#K2">}</a></span>,<span class="p2"><a href="tarski.html#K1">{</a><span class="default"><span class="p3"><a href="tarski.html#K2">{</a><span class="default"><span class="p4"><a href="tarski.html#K2">{</a><span class="default"><span class="p5">(<span class="default"><font color="Maroon">c<sub>5</sub></font> <a href="mcart_1.html#K8" target="_self">`1</a> </span>)</span>,<span class="p5">(<span class="default"><font color="Maroon">c<sub>5</sub></font> <a href="mcart_1.html#K9" target="_self">`2</a> </span>)</span></span><a href="tarski.html#K2">}</a></span>,<span class="p4"><a href="tarski.html#K1">{</a><span class="default"><span class="p5">(<span class="default"><font color="Maroon">c<sub>5</sub></font> <a href="mcart_1.html#K8" target="_self">`1</a> </span>)</span></span><a href="tarski.html#K1">}</a></span></span><a href="tarski.html#K2">}</a></span></span><a href="tarski.html#K1">}</a></span></span><a href="tarski.html#K2">}</a></span>;<br/>
<b>set </b><font color="Maroon">c<sub>10</sub></font> = <span class="p1"><a href="tarski.html#K2">{</a><span class="default"><span class="p2"><a href="tarski.html#K2">{</a><span class="default"><span class="p3"><a href="tarski.html#K2">{</a><span class="default"><span class="p4"><a href="tarski.html#K2">{</a><span class="default"><span class="p5"><a href="tarski.html#K2">{</a><span class="default"><span class="p0">(<span class="default"><font color="Maroon">c<sub>5</sub></font> <a href="mcart_1.html#K8" target="_self">`1</a> </span>)</span>,<span class="p0">(<span class="default"><font color="Maroon">c<sub>5</sub></font> <a href="mcart_1.html#K9" target="_self">`2</a> </span>)</span></span><a href="tarski.html#K2">}</a></span>,<span class="p5"><a href="tarski.html#K1">{</a><span class="default"><span class="p0">(<span class="default"><font color="Maroon">c<sub>5</sub></font> <a href="mcart_1.html#K8" target="_self">`1</a> </span>)</span></span><a href="tarski.html#K1">}</a></span></span><a href="tarski.html#K2">}</a></span>,<span class="p4">(<span class="default"><font color="Maroon">c<sub>5</sub></font> <a href="mcart_1.html#K10" target="_self">`3</a> </span>)</span></span><a href="tarski.html#K2">}</a></span>,<span class="p3"><a href="tarski.html#K1">{</a><span class="default"><span class="p4"><a href="tarski.html#K2">{</a><span class="default"><span class="p5"><a href="tarski.html#K2">{</a><span class="default"><span class="p0">(<span class="default"><font color="Maroon">c<sub>5</sub></font> <a href="mcart_1.html#K8" target="_self">`1</a> </span>)</span>,<span class="p0">(<span class="default"><font color="Maroon">c<sub>5</sub></font> <a href="mcart_1.html#K9" target="_self">`2</a> </span>)</span></span><a href="tarski.html#K2">}</a></span>,<span class="p5"><a href="tarski.html#K1">{</a><span class="default"><span class="p0">(<span class="default"><font color="Maroon">c<sub>5</sub></font> <a href="mcart_1.html#K8" target="_self">`1</a> </span>)</span></span><a href="tarski.html#K1">}</a></span></span><a href="tarski.html#K2">}</a></span></span><a href="tarski.html#K1">}</a></span></span><a href="tarski.html#K2">}</a></span>,<span class="p2">(<span class="default"><font color="Maroon">c<sub>5</sub></font> <a href="mcart_1.html#K11" target="_self">`4</a> </span>)</span></span><a href="tarski.html#K2">}</a></span>;<br/>
<b>set </b><font color="Maroon">c<sub>11</sub></font> = <span class="p1"><a href="tarski.html#K2">{</a><span class="default"><span class="p2"><a href="tarski.html#K2">{</a><span class="default"><span class="p3"><a href="tarski.html#K2">{</a><span class="default"><span class="p4"><a href="tarski.html#K2">{</a><span class="default"><span class="p5"><a href="tarski.html#K2">{</a><span class="default"><span class="p0"><a href="tarski.html#K2">{</a><span class="default"><span class="p1">(<span class="default"><font color="Maroon">c<sub>5</sub></font> <a href="mcart_1.html#K8" target="_self">`1</a> </span>)</span>,<span class="p1">(<span class="default"><font color="Maroon">c<sub>5</sub></font> <a href="mcart_1.html#K9" target="_self">`2</a> </span>)</span></span><a href="tarski.html#K2">}</a></span>,<span class="p0"><a href="tarski.html#K1">{</a><span class="default"><span class="p1">(<span class="default"><font color="Maroon">c<sub>5</sub></font> <a href="mcart_1.html#K8" target="_self">`1</a> </span>)</span></span><a href="tarski.html#K1">}</a></span></span><a href="tarski.html#K2">}</a></span>,<span class="p5">(<span class="default"><font color="Maroon">c<sub>5</sub></font> <a href="mcart_1.html#K10" target="_self">`3</a> </span>)</span></span><a href="tarski.html#K2">}</a></span>,<span class="p4"><a href="tarski.html#K1">{</a><span class="default"><span class="p5"><a href="tarski.html#K2">{</a><span class="default"><span class="p0"><a href="tarski.html#K2">{</a><span class="default"><span class="p1">(<span class="default"><font color="Maroon">c<sub>5</sub></font> <a href="mcart_1.html#K8" target="_self">`1</a> </span>)</span>,<span class="p1">(<span class="default"><font color="Maroon">c<sub>5</sub></font> <a href="mcart_1.html#K9" target="_self">`2</a> </span>)</span></span><a href="tarski.html#K2">}</a></span>,<span class="p0"><a href="tarski.html#K1">{</a><span class="default"><span class="p1">(<span class="default"><font color="Maroon">c<sub>5</sub></font> <a href="mcart_1.html#K8" target="_self">`1</a> </span>)</span></span><a href="tarski.html#K1">}</a></span></span><a href="tarski.html#K2">}</a></span></span><a href="tarski.html#K1">}</a></span></span><a href="tarski.html#K2">}</a></span>,<span class="p3">(<span class="default"><font color="Maroon">c<sub>5</sub></font> <a href="mcart_1.html#K11" target="_self">`4</a> </span>)</span></span><a href="tarski.html#K2">}</a></span>,<span class="p2"><a href="tarski.html#K1">{</a><span class="default"><span class="p3"><a href="tarski.html#K2">{</a><span class="default"><span class="p4"><a href="tarski.html#K2">{</a><span class="default"><span class="p5"><a href="tarski.html#K2">{</a><span class="default"><span class="p0"><a href="tarski.html#K2">{</a><span class="default"><span class="p1">(<span class="default"><font color="Maroon">c<sub>5</sub></font> <a href="mcart_1.html#K8" target="_self">`1</a> </span>)</span>,<span class="p1">(<span class="default"><font color="Maroon">c<sub>5</sub></font> <a href="mcart_1.html#K9" target="_self">`2</a> </span>)</span></span><a href="tarski.html#K2">}</a></span>,<span class="p0"><a href="tarski.html#K1">{</a><span class="default"><span class="p1">(<span class="default"><font color="Maroon">c<sub>5</sub></font> <a href="mcart_1.html#K8" target="_self">`1</a> </span>)</span></span><a href="tarski.html#K1">}</a></span></span><a href="tarski.html#K2">}</a></span>,<span class="p5">(<span class="default"><font color="Maroon">c<sub>5</sub></font> <a href="mcart_1.html#K10" target="_self">`3</a> </span>)</span></span><a href="tarski.html#K2">}</a></span>,<span class="p4"><a href="tarski.html#K1">{</a><span class="default"><span class="p5"><a href="tarski.html#K2">{</a><span class="default"><span class="p0"><a href="tarski.html#K2">{</a><span class="default"><span class="p1">(<span class="default"><font color="Maroon">c<sub>5</sub></font> <a href="mcart_1.html#K8" target="_self">`1</a> </span>)</span>,<span class="p1">(<span class="default"><font color="Maroon">c<sub>5</sub></font> <a href="mcart_1.html#K9" target="_self">`2</a> </span>)</span></span><a href="tarski.html#K2">}</a></span>,<span class="p0"><a href="tarski.html#K1">{</a><span class="default"><span class="p1">(<span class="default"><font color="Maroon">c<sub>5</sub></font> <a href="mcart_1.html#K8" target="_self">`1</a> </span>)</span></span><a href="tarski.html#K1">}</a></span></span><a href="tarski.html#K2">}</a></span></span><a href="tarski.html#K1">}</a></span></span><a href="tarski.html#K2">}</a></span></span><a href="tarski.html#K1">}</a></span></span><a href="tarski.html#K2">}</a></span>;<br/>
<font color="Maroon">c<sub>5</sub></font> = 
<span class="p1"><a href="mcart_1.html#K4" target="_self">[</a><span class="default"><span class="p2">(<span class="default"><font color="Maroon">c<sub>5</sub></font> <a href="mcart_1.html#K8" target="_self">`1</a> </span>)</span>,<span class="p2">(<span class="default"><font color="Maroon">c<sub>5</sub></font> <a href="mcart_1.html#K9" target="_self">`2</a> </span>)</span>,<span class="p2">(<span class="default"><font color="Maroon">c<sub>5</sub></font> <a href="mcart_1.html#K10" target="_self">`3</a> </span>)</span>,<span class="p2">(<span class="default"><font color="Maroon">c<sub>5</sub></font> <a href="mcart_1.html#K11" target="_self">`4</a> </span>)</span></span><a href="mcart_1.html#K4" target="_self">]</a></span>
<b>by </b><i><a class="txt" href="mcart_1.html#E1:61"><i><font color="Green">E42</font></i></a>, <a class="ref" href="mcart_1.html#T60" target="_self">Th60</a></i>
<br/>.= 
<span class="p1"><a href="tarski.html#K4">[</a><span class="default"><span class="p2"><a href="tarski.html#K4">[</a><span class="default"><span class="p3"><a href="tarski.html#K4">[</a><span class="default"><span class="p4">(<span class="default"><font color="Maroon">c<sub>5</sub></font> <a href="mcart_1.html#K8" target="_self">`1</a> </span>)</span>,<span class="p4">(<span class="default"><font color="Maroon">c<sub>5</sub></font> <a href="mcart_1.html#K9" target="_self">`2</a> </span>)</span></span><a href="tarski.html#K4">]</a></span>,<span class="p3">(<span class="default"><font color="Maroon">c<sub>5</sub></font> <a href="mcart_1.html#K10" target="_self">`3</a> </span>)</span></span><a href="tarski.html#K4">]</a></span>,<span class="p2">(<span class="default"><font color="Maroon">c<sub>5</sub></font> <a href="mcart_1.html#K11" target="_self">`4</a> </span>)</span></span><a href="tarski.html#K4">]</a></span>

<br/>.= 
<span class="p1"><a href="tarski.html#K4">[</a><span class="default"><span class="p2"><a href="tarski.html#K4">[</a><span class="default"><span class="p3"><a href="tarski.html#K2">{</a><span class="default"><span class="p4"><a href="tarski.html#K2">{</a><span class="default"><span class="p5">(<span class="default"><font color="Maroon">c<sub>5</sub></font> <a href="mcart_1.html#K8" target="_self">`1</a> </span>)</span>,<span class="p5">(<span class="default"><font color="Maroon">c<sub>5</sub></font> <a href="mcart_1.html#K9" target="_self">`2</a> </span>)</span></span><a href="tarski.html#K2">}</a></span>,<span class="p4"><a href="tarski.html#K1">{</a><span class="default"><span class="p5">(<span class="default"><font color="Maroon">c<sub>5</sub></font> <a href="mcart_1.html#K8" target="_self">`1</a> </span>)</span></span><a href="tarski.html#K1">}</a></span></span><a href="tarski.html#K2">}</a></span>,<span class="p3">(<span class="default"><font color="Maroon">c<sub>5</sub></font> <a href="mcart_1.html#K10" target="_self">`3</a> </span>)</span></span><a href="tarski.html#K4">]</a></span>,<span class="p2">(<span class="default"><font color="Maroon">c<sub>5</sub></font> <a href="mcart_1.html#K11" target="_self">`4</a> </span>)</span></span><a href="tarski.html#K4">]</a></span>
<b>by </b><i><a class="ref" href="tarski.html#D5">TARSKI:def 5</a></i>
<br/>.= 
<span class="p1"><a href="tarski.html#K4">[</a><span class="default"><span class="p2"><a href="tarski.html#K2">{</a><span class="default"><span class="p3"><a href="tarski.html#K2">{</a><span class="default"><span class="p4"><a href="tarski.html#K2">{</a><span class="default"><span class="p5"><a href="tarski.html#K2">{</a><span class="default"><span class="p0">(<span class="default"><font color="Maroon">c<sub>5</sub></font> <a href="mcart_1.html#K8" target="_self">`1</a> </span>)</span>,<span class="p0">(<span class="default"><font color="Maroon">c<sub>5</sub></font> <a href="mcart_1.html#K9" target="_self">`2</a> </span>)</span></span><a href="tarski.html#K2">}</a></span>,<span class="p5"><a href="tarski.html#K1">{</a><span class="default"><span class="p0">(<span class="default"><font color="Maroon">c<sub>5</sub></font> <a href="mcart_1.html#K8" target="_self">`1</a> </span>)</span></span><a href="tarski.html#K1">}</a></span></span><a href="tarski.html#K2">}</a></span>,<span class="p4">(<span class="default"><font color="Maroon">c<sub>5</sub></font> <a href="mcart_1.html#K10" target="_self">`3</a> </span>)</span></span><a href="tarski.html#K2">}</a></span>,<span class="p3"><a href="tarski.html#K1">{</a><span class="default"><span class="p4"><a href="tarski.html#K2">{</a><span class="default"><span class="p5"><a href="tarski.html#K2">{</a><span class="default"><span class="p0">(<span class="default"><font color="Maroon">c<sub>5</sub></font> <a href="mcart_1.html#K8" target="_self">`1</a> </span>)</span>,<span class="p0">(<span class="default"><font color="Maroon">c<sub>5</sub></font> <a href="mcart_1.html#K9" target="_self">`2</a> </span>)</span></span><a href="tarski.html#K2">}</a></span>,<span class="p5"><a href="tarski.html#K1">{</a><span class="default"><span class="p0">(<span class="default"><font color="Maroon">c<sub>5</sub></font> <a href="mcart_1.html#K8" target="_self">`1</a> </span>)</span></span><a href="tarski.html#K1">}</a></span></span><a href="tarski.html#K2">}</a></span></span><a href="tarski.html#K1">}</a></span></span><a href="tarski.html#K2">}</a></span>,<span class="p2">(<span class="default"><font color="Maroon">c<sub>5</sub></font> <a href="mcart_1.html#K11" target="_self">`4</a> </span>)</span></span><a href="tarski.html#K4">]</a></span>
<b>by </b><i><a class="ref" href="tarski.html#D5">TARSKI:def 5</a></i>
<br/>.= 
<span class="p1"><a href="tarski.html#K2">{</a><span class="default"><span class="p2"><a href="tarski.html#K2">{</a><span class="default"><span class="p3"><a href="tarski.html#K2">{</a><span class="default"><span class="p4"><a href="tarski.html#K2">{</a><span class="default"><span class="p5"><a href="tarski.html#K2">{</a><span class="default"><span class="p0"><a href="tarski.html#K2">{</a><span class="default"><span class="p1">(<span class="default"><font color="Maroon">c<sub>5</sub></font> <a href="mcart_1.html#K8" target="_self">`1</a> </span>)</span>,<span class="p1">(<span class="default"><font color="Maroon">c<sub>5</sub></font> <a href="mcart_1.html#K9" target="_self">`2</a> </span>)</span></span><a href="tarski.html#K2">}</a></span>,<span class="p0"><a href="tarski.html#K1">{</a><span class="default"><span class="p1">(<span class="default"><font color="Maroon">c<sub>5</sub></font> <a href="mcart_1.html#K8" target="_self">`1</a> </span>)</span></span><a href="tarski.html#K1">}</a></span></span><a href="tarski.html#K2">}</a></span>,<span class="p5">(<span class="default"><font color="Maroon">c<sub>5</sub></font> <a href="mcart_1.html#K10" target="_self">`3</a> </span>)</span></span><a href="tarski.html#K2">}</a></span>,<span class="p4"><a href="tarski.html#K1">{</a><span class="default"><span class="p5"><a href="tarski.html#K2">{</a><span class="default"><span class="p0"><a href="tarski.html#K2">{</a><span class="default"><span class="p1">(<span class="default"><font color="Maroon">c<sub>5</sub></font> <a href="mcart_1.html#K8" target="_self">`1</a> </span>)</span>,<span class="p1">(<span class="default"><font color="Maroon">c<sub>5</sub></font> <a href="mcart_1.html#K9" target="_self">`2</a> </span>)</span></span><a href="tarski.html#K2">}</a></span>,<span class="p0"><a href="tarski.html#K1">{</a><span class="default"><span class="p1">(<span class="default"><font color="Maroon">c<sub>5</sub></font> <a href="mcart_1.html#K8" target="_self">`1</a> </span>)</span></span><a href="tarski.html#K1">}</a></span></span><a href="tarski.html#K2">}</a></span></span><a href="tarski.html#K1">}</a></span></span><a href="tarski.html#K2">}</a></span>,<span class="p3">(<span class="default"><font color="Maroon">c<sub>5</sub></font> <a href="mcart_1.html#K11" target="_self">`4</a> </span>)</span></span><a href="tarski.html#K2">}</a></span>,<span class="p2"><a href="tarski.html#K1">{</a><span class="default"><span class="p3"><a href="tarski.html#K2">{</a><span class="default"><span class="p4"><a href="tarski.html#K2">{</a><span class="default"><span class="p5"><a href="tarski.html#K2">{</a><span class="default"><span class="p0"><a href="tarski.html#K2">{</a><span class="default"><span class="p1">(<span class="default"><font color="Maroon">c<sub>5</sub></font> <a href="mcart_1.html#K8" target="_self">`1</a> </span>)</span>,<span class="p1">(<span class="default"><font color="Maroon">c<sub>5</sub></font> <a href="mcart_1.html#K9" target="_self">`2</a> </span>)</span></span><a href="tarski.html#K2">}</a></span>,<span class="p0"><a href="tarski.html#K1">{</a><span class="default"><span class="p1">(<span class="default"><font color="Maroon">c<sub>5</sub></font> <a href="mcart_1.html#K8" target="_self">`1</a> </span>)</span></span><a href="tarski.html#K1">}</a></span></span><a href="tarski.html#K2">}</a></span>,<span class="p5">(<span class="default"><font color="Maroon">c<sub>5</sub></font> <a href="mcart_1.html#K10" target="_self">`3</a> </span>)</span></span><a href="tarski.html#K2">}</a></span>,<span class="p4"><a href="tarski.html#K1">{</a><span class="default"><span class="p5"><a href="tarski.html#K2">{</a><span class="default"><span class="p0"><a href="tarski.html#K2">{</a><span class="default"><span class="p1">(<span class="default"><font color="Maroon">c<sub>5</sub></font> <a href="mcart_1.html#K8" target="_self">`1</a> </span>)</span>,<span class="p1">(<span class="default"><font color="Maroon">c<sub>5</sub></font> <a href="mcart_1.html#K9" target="_self">`2</a> </span>)</span></span><a href="tarski.html#K2">}</a></span>,<span class="p0"><a href="tarski.html#K1">{</a><span class="default"><span class="p1">(<span class="default"><font color="Maroon">c<sub>5</sub></font> <a href="mcart_1.html#K8" target="_self">`1</a> </span>)</span></span><a href="tarski.html#K1">}</a></span></span><a href="tarski.html#K2">}</a></span></span><a href="tarski.html#K1">}</a></span></span><a href="tarski.html#K2">}</a></span></span><a href="tarski.html#K1">}</a></span></span><a href="tarski.html#K2">}</a></span>
<b>by </b><i><a class="ref" href="tarski.html#D5">TARSKI:def 5</a></i>
;<br/>
<a NAME="E4:61"/><b>then </b>
( ( <font color="Maroon">c<sub>5</sub></font> <a href="hidden.html#R1">=</a> <font color="Maroon">c<sub>5</sub></font> <a href="mcart_1.html#K8" target="_self">`1</a>  or <font color="Maroon">c<sub>5</sub></font> <a href="hidden.html#R1">=</a> <font color="Maroon">c<sub>5</sub></font> <a href="mcart_1.html#K9" target="_self">`2</a>  ) implies ( <span class="p1"><a href="tarski.html#K2">{</a><span class="default"><span class="p2"><a href="tarski.html#K2">{</a><span class="default"><span class="p3"><a href="tarski.html#K2">{</a><span class="default"><span class="p4"><a href="tarski.html#K2">{</a><span class="default"><span class="p5"><a href="tarski.html#K2">{</a><span class="default"><span class="p0"><a href="tarski.html#K2">{</a><span class="default"><span class="p1">(<span class="default"><font color="Maroon">c<sub>5</sub></font> <a href="mcart_1.html#K8" target="_self">`1</a> </span>)</span>,<span class="p1">(<span class="default"><font color="Maroon">c<sub>5</sub></font> <a href="mcart_1.html#K9" target="_self">`2</a> </span>)</span></span><a href="tarski.html#K2">}</a></span>,<span class="p0"><a href="tarski.html#K1">{</a><span class="default"><span class="p1">(<span class="default"><font color="Maroon">c<sub>5</sub></font> <a href="mcart_1.html#K8" target="_self">`1</a> </span>)</span></span><a href="tarski.html#K1">}</a></span></span><a href="tarski.html#K2">}</a></span>,<span class="p5">(<span class="default"><font color="Maroon">c<sub>5</sub></font> <a href="mcart_1.html#K10" target="_self">`3</a> </span>)</span></span><a href="tarski.html#K2">}</a></span>,<span class="p4"><a href="tarski.html#K1">{</a><span class="default"><span class="p5"><a href="tarski.html#K2">{</a><span class="default"><span class="p0"><a href="tarski.html#K2">{</a><span class="default"><span class="p1">(<span class="default"><font color="Maroon">c<sub>5</sub></font> <a href="mcart_1.html#K8" target="_self">`1</a> </span>)</span>,<span class="p1">(<span class="default"><font color="Maroon">c<sub>5</sub></font> <a href="mcart_1.html#K9" target="_self">`2</a> </span>)</span></span><a href="tarski.html#K2">}</a></span>,<span class="p0"><a href="tarski.html#K1">{</a><span class="default"><span class="p1">(<span class="default"><font color="Maroon">c<sub>5</sub></font> <a href="mcart_1.html#K8" target="_self">`1</a> </span>)</span></span><a href="tarski.html#K1">}</a></span></span><a href="tarski.html#K2">}</a></span></span><a href="tarski.html#K1">}</a></span></span><a href="tarski.html#K2">}</a></span>,<span class="p3">(<span class="default"><font color="Maroon">c<sub>5</sub></font> <a href="mcart_1.html#K11" target="_self">`4</a> </span>)</span></span><a href="tarski.html#K2">}</a></span>,<span class="p2"><a href="tarski.html#K1">{</a><span class="default"><span class="p3"><a href="tarski.html#K2">{</a><span class="default"><span class="p4"><a href="tarski.html#K2">{</a><span class="default"><span class="p5"><a href="tarski.html#K2">{</a><span class="default"><span class="p0"><a href="tarski.html#K2">{</a><span class="default"><span class="p1">(<span class="default"><font color="Maroon">c<sub>5</sub></font> <a href="mcart_1.html#K8" target="_self">`1</a> </span>)</span>,<span class="p1">(<span class="default"><font color="Maroon">c<sub>5</sub></font> <a href="mcart_1.html#K9" target="_self">`2</a> </span>)</span></span><a href="tarski.html#K2">}</a></span>,<span class="p0"><a href="tarski.html#K1">{</a><span class="default"><span class="p1">(<span class="default"><font color="Maroon">c<sub>5</sub></font> <a href="mcart_1.html#K8" target="_self">`1</a> </span>)</span></span><a href="tarski.html#K1">}</a></span></span><a href="tarski.html#K2">}</a></span>,<span class="p5">(<span class="default"><font color="Maroon">c<sub>5</sub></font> <a href="mcart_1.html#K10" target="_self">`3</a> </span>)</span></span><a href="tarski.html#K2">}</a></span>,<span class="p4"><a href="tarski.html#K1">{</a><span class="default"><span class="p5"><a href="tarski.html#K2">{</a><span class="default"><span class="p0"><a href="tarski.html#K2">{</a><span class="default"><span class="p1">(<span class="default"><font color="Maroon">c<sub>5</sub></font> <a href="mcart_1.html#K8" target="_self">`1</a> </span>)</span>,<span class="p1">(<span class="default"><font color="Maroon">c<sub>5</sub></font> <a href="mcart_1.html#K9" target="_self">`2</a> </span>)</span></span><a href="tarski.html#K2">}</a></span>,<span class="p0"><a href="tarski.html#K1">{</a><span class="default"><span class="p1">(<span class="default"><font color="Maroon">c<sub>5</sub></font> <a href="mcart_1.html#K8" target="_self">`1</a> </span>)</span></span><a href="tarski.html#K1">}</a></span></span><a href="tarski.html#K2">}</a></span></span><a href="tarski.html#K1">}</a></span></span><a href="tarski.html#K2">}</a></span></span><a href="tarski.html#K1">}</a></span></span><a href="tarski.html#K2">}</a></span> <a href="hidden.html#R2">in</a> <span class="p1"><a href="tarski.html#K2">{</a><span class="default"><span class="p2">(<span class="default"><font color="Maroon">c<sub>5</sub></font> <a href="mcart_1.html#K8" target="_self">`1</a> </span>)</span>,<span class="p2">(<span class="default"><font color="Maroon">c<sub>5</sub></font> <a href="mcart_1.html#K9" target="_self">`2</a> </span>)</span></span><a href="tarski.html#K2">}</a></span> &amp; <span class="p1"><a href="tarski.html#K2">{</a><span class="default"><span class="p2">(<span class="default"><font color="Maroon">c<sub>5</sub></font> <a href="mcart_1.html#K8" target="_self">`1</a> </span>)</span>,<span class="p2">(<span class="default"><font color="Maroon">c<sub>5</sub></font> <a href="mcart_1.html#K9" target="_self">`2</a> </span>)</span></span><a href="tarski.html#K2">}</a></span> <a href="hidden.html#R2">in</a> <span class="p1"><a href="tarski.html#K2">{</a><span class="default"><span class="p2"><a href="tarski.html#K2">{</a><span class="default"><span class="p3">(<span class="default"><font color="Maroon">c<sub>5</sub></font> <a href="mcart_1.html#K8" target="_self">`1</a> </span>)</span>,<span class="p3">(<span class="default"><font color="Maroon">c<sub>5</sub></font> <a href="mcart_1.html#K9" target="_self">`2</a> </span>)</span></span><a href="tarski.html#K2">}</a></span>,<span class="p2"><a href="tarski.html#K1">{</a><span class="default"><span class="p3">(<span class="default"><font color="Maroon">c<sub>5</sub></font> <a href="mcart_1.html#K8" target="_self">`1</a> </span>)</span></span><a href="tarski.html#K1">}</a></span></span><a href="tarski.html#K2">}</a></span> &amp; <span class="p1"><a href="tarski.html#K2">{</a><span class="default"><span class="p2"><a href="tarski.html#K2">{</a><span class="default"><span class="p3">(<span class="default"><font color="Maroon">c<sub>5</sub></font> <a href="mcart_1.html#K8" target="_self">`1</a> </span>)</span>,<span class="p3">(<span class="default"><font color="Maroon">c<sub>5</sub></font> <a href="mcart_1.html#K9" target="_self">`2</a> </span>)</span></span><a href="tarski.html#K2">}</a></span>,<span class="p2"><a href="tarski.html#K1">{</a><span class="default"><span class="p3">(<span class="default"><font color="Maroon">c<sub>5</sub></font> <a href="mcart_1.html#K8" target="_self">`1</a> </span>)</span></span><a href="tarski.html#K1">}</a></span></span><a href="tarski.html#K2">}</a></span> <a href="hidden.html#R2">in</a> <span class="p1"><a href="tarski.html#K2">{</a><span class="default"><span class="p2"><a href="tarski.html#K2">{</a><span class="default"><span class="p3"><a href="tarski.html#K2">{</a><span class="default"><span class="p4">(<span class="default"><font color="Maroon">c<sub>5</sub></font> <a href="mcart_1.html#K8" target="_self">`1</a> </span>)</span>,<span class="p4">(<span class="default"><font color="Maroon">c<sub>5</sub></font> <a href="mcart_1.html#K9" target="_self">`2</a> </span>)</span></span><a href="tarski.html#K2">}</a></span>,<span class="p3"><a href="tarski.html#K1">{</a><span class="default"><span class="p4">(<span class="default"><font color="Maroon">c<sub>5</sub></font> <a href="mcart_1.html#K8" target="_self">`1</a> </span>)</span></span><a href="tarski.html#K1">}</a></span></span><a href="tarski.html#K2">}</a></span>,<span class="p2">(<span class="default"><font color="Maroon">c<sub>5</sub></font> <a href="mcart_1.html#K10" target="_self">`3</a> </span>)</span></span><a href="tarski.html#K2">}</a></span> &amp; <span class="p1"><a href="tarski.html#K2">{</a><span class="default"><span class="p2"><a href="tarski.html#K2">{</a><span class="default"><span class="p3"><a href="tarski.html#K2">{</a><span class="default"><span class="p4">(<span class="default"><font color="Maroon">c<sub>5</sub></font> <a href="mcart_1.html#K8" target="_self">`1</a> </span>)</span>,<span class="p4">(<span class="default"><font color="Maroon">c<sub>5</sub></font> <a href="mcart_1.html#K9" target="_self">`2</a> </span>)</span></span><a href="tarski.html#K2">}</a></span>,<span class="p3"><a href="tarski.html#K1">{</a><span class="default"><span class="p4">(<span class="default"><font color="Maroon">c<sub>5</sub></font> <a href="mcart_1.html#K8" target="_self">`1</a> </span>)</span></span><a href="tarski.html#K1">}</a></span></span><a href="tarski.html#K2">}</a></span>,<span class="p2">(<span class="default"><font color="Maroon">c<sub>5</sub></font> <a href="mcart_1.html#K10" target="_self">`3</a> </span>)</span></span><a href="tarski.html#K2">}</a></span> <a href="hidden.html#R2">in</a> <span class="p1"><a href="tarski.html#K2">{</a><span class="default"><span class="p2"><a href="tarski.html#K2">{</a><span class="default"><span class="p3"><a href="tarski.html#K2">{</a><span class="default"><span class="p4"><a href="tarski.html#K2">{</a><span class="default"><span class="p5">(<span class="default"><font color="Maroon">c<sub>5</sub></font> <a href="mcart_1.html#K8" target="_self">`1</a> </span>)</span>,<span class="p5">(<span class="default"><font color="Maroon">c<sub>5</sub></font> <a href="mcart_1.html#K9" target="_self">`2</a> </span>)</span></span><a href="tarski.html#K2">}</a></span>,<span class="p4"><a href="tarski.html#K1">{</a><span class="default"><span class="p5">(<span class="default"><font color="Maroon">c<sub>5</sub></font> <a href="mcart_1.html#K8" target="_self">`1</a> </span>)</span></span><a href="tarski.html#K1">}</a></span></span><a href="tarski.html#K2">}</a></span>,<span class="p3">(<span class="default"><font color="Maroon">c<sub>5</sub></font> <a href="mcart_1.html#K10" target="_self">`3</a> </span>)</span></span><a href="tarski.html#K2">}</a></span>,<span class="p2"><a href="tarski.html#K1">{</a><span class="default"><span class="p3"><a href="tarski.html#K2">{</a><span class="default"><span class="p4"><a href="tarski.html#K2">{</a><span class="default"><span class="p5">(<span class="default"><font color="Maroon">c<sub>5</sub></font> <a href="mcart_1.html#K8" target="_self">`1</a> </span>)</span>,<span class="p5">(<span class="default"><font color="Maroon">c<sub>5</sub></font> <a href="mcart_1.html#K9" target="_self">`2</a> </span>)</span></span><a href="tarski.html#K2">}</a></span>,<span class="p4"><a href="tarski.html#K1">{</a><span class="default"><span class="p5">(<span class="default"><font color="Maroon">c<sub>5</sub></font> <a href="mcart_1.html#K8" target="_self">`1</a> </span>)</span></span><a href="tarski.html#K1">}</a></span></span><a href="tarski.html#K2">}</a></span></span><a href="tarski.html#K1">}</a></span></span><a href="tarski.html#K2">}</a></span> &amp; <span class="p1"><a href="tarski.html#K2">{</a><span class="default"><span class="p2"><a href="tarski.html#K2">{</a><span class="default"><span class="p3"><a href="tarski.html#K2">{</a><span class="default"><span class="p4"><a href="tarski.html#K2">{</a><span class="default"><span class="p5">(<span class="default"><font color="Maroon">c<sub>5</sub></font> <a href="mcart_1.html#K8" target="_self">`1</a> </span>)</span>,<span class="p5">(<span class="default"><font color="Maroon">c<sub>5</sub></font> <a href="mcart_1.html#K9" target="_self">`2</a> </span>)</span></span><a href="tarski.html#K2">}</a></span>,<span class="p4"><a href="tarski.html#K1">{</a><span class="default"><span class="p5">(<span class="default"><font color="Maroon">c<sub>5</sub></font> <a href="mcart_1.html#K8" target="_self">`1</a> </span>)</span></span><a href="tarski.html#K1">}</a></span></span><a href="tarski.html#K2">}</a></span>,<span class="p3">(<span class="default"><font color="Maroon">c<sub>5</sub></font> <a href="mcart_1.html#K10" target="_self">`3</a> </span>)</span></span><a href="tarski.html#K2">}</a></span>,<span class="p2"><a href="tarski.html#K1">{</a><span class="default"><span class="p3"><a href="tarski.html#K2">{</a><span class="default"><span class="p4"><a href="tarski.html#K2">{</a><span class="default"><span class="p5">(<span class="default"><font color="Maroon">c<sub>5</sub></font> <a href="mcart_1.html#K8" target="_self">`1</a> </span>)</span>,<span class="p5">(<span class="default"><font color="Maroon">c<sub>5</sub></font> <a href="mcart_1.html#K9" target="_self">`2</a> </span>)</span></span><a href="tarski.html#K2">}</a></span>,<span class="p4"><a href="tarski.html#K1">{</a><span class="default"><span class="p5">(<span class="default"><font color="Maroon">c<sub>5</sub></font> <a href="mcart_1.html#K8" target="_self">`1</a> </span>)</span></span><a href="tarski.html#K1">}</a></span></span><a href="tarski.html#K2">}</a></span></span><a href="tarski.html#K1">}</a></span></span><a href="tarski.html#K2">}</a></span> <a href="hidden.html#R2">in</a> <span class="p1"><a href="tarski.html#K2">{</a><span class="default"><span class="p2"><a href="tarski.html#K2">{</a><span class="default"><span class="p3"><a href="tarski.html#K2">{</a><span class="default"><span class="p4"><a href="tarski.html#K2">{</a><span class="default"><span class="p5"><a href="tarski.html#K2">{</a><span class="default"><span class="p0">(<span class="default"><font color="Maroon">c<sub>5</sub></font> <a href="mcart_1.html#K8" target="_self">`1</a> </span>)</span>,<span class="p0">(<span class="default"><font color="Maroon">c<sub>5</sub></font> <a href="mcart_1.html#K9" target="_self">`2</a> </span>)</span></span><a href="tarski.html#K2">}</a></span>,<span class="p5"><a href="tarski.html#K1">{</a><span class="default"><span class="p0">(<span class="default"><font color="Maroon">c<sub>5</sub></font> <a href="mcart_1.html#K8" target="_self">`1</a> </span>)</span></span><a href="tarski.html#K1">}</a></span></span><a href="tarski.html#K2">}</a></span>,<span class="p4">(<span class="default"><font color="Maroon">c<sub>5</sub></font> <a href="mcart_1.html#K10" target="_self">`3</a> </span>)</span></span><a href="tarski.html#K2">}</a></span>,<span class="p3"><a href="tarski.html#K1">{</a><span class="default"><span class="p4"><a href="tarski.html#K2">{</a><span class="default"><span class="p5"><a href="tarski.html#K2">{</a><span class="default"><span class="p0">(<span class="default"><font color="Maroon">c<sub>5</sub></font> <a href="mcart_1.html#K8" target="_self">`1</a> </span>)</span>,<span class="p0">(<span class="default"><font color="Maroon">c<sub>5</sub></font> <a href="mcart_1.html#K9" target="_self">`2</a> </span>)</span></span><a href="tarski.html#K2">}</a></span>,<span class="p5"><a href="tarski.html#K1">{</a><span class="default"><span class="p0">(<span class="default"><font color="Maroon">c<sub>5</sub></font> <a href="mcart_1.html#K8" target="_self">`1</a> </span>)</span></span><a href="tarski.html#K1">}</a></span></span><a href="tarski.html#K2">}</a></span></span><a href="tarski.html#K1">}</a></span></span><a href="tarski.html#K2">}</a></span>,<span class="p2">(<span class="default"><font color="Maroon">c<sub>5</sub></font> <a href="mcart_1.html#K11" target="_self">`4</a> </span>)</span></span><a href="tarski.html#K2">}</a></span> &amp; <span class="p1"><a href="tarski.html#K2">{</a><span class="default"><span class="p2"><a href="tarski.html#K2">{</a><span class="default"><span class="p3"><a href="tarski.html#K2">{</a><span class="default"><span class="p4"><a href="tarski.html#K2">{</a><span class="default"><span class="p5"><a href="tarski.html#K2">{</a><span class="default"><span class="p0">(<span class="default"><font color="Maroon">c<sub>5</sub></font> <a href="mcart_1.html#K8" target="_self">`1</a> </span>)</span>,<span class="p0">(<span class="default"><font color="Maroon">c<sub>5</sub></font> <a href="mcart_1.html#K9" target="_self">`2</a> </span>)</span></span><a href="tarski.html#K2">}</a></span>,<span class="p5"><a href="tarski.html#K1">{</a><span class="default"><span class="p0">(<span class="default"><font color="Maroon">c<sub>5</sub></font> <a href="mcart_1.html#K8" target="_self">`1</a> </span>)</span></span><a href="tarski.html#K1">}</a></span></span><a href="tarski.html#K2">}</a></span>,<span class="p4">(<span class="default"><font color="Maroon">c<sub>5</sub></font> <a href="mcart_1.html#K10" target="_self">`3</a> </span>)</span></span><a href="tarski.html#K2">}</a></span>,<span class="p3"><a href="tarski.html#K1">{</a><span class="default"><span class="p4"><a href="tarski.html#K2">{</a><span class="default"><span class="p5"><a href="tarski.html#K2">{</a><span class="default"><span class="p0">(<span class="default"><font color="Maroon">c<sub>5</sub></font> <a href="mcart_1.html#K8" target="_self">`1</a> </span>)</span>,<span class="p0">(<span class="default"><font color="Maroon">c<sub>5</sub></font> <a href="mcart_1.html#K9" target="_self">`2</a> </span>)</span></span><a href="tarski.html#K2">}</a></span>,<span class="p5"><a href="tarski.html#K1">{</a><span class="default"><span class="p0">(<span class="default"><font color="Maroon">c<sub>5</sub></font> <a href="mcart_1.html#K8" target="_self">`1</a> </span>)</span></span><a href="tarski.html#K1">}</a></span></span><a href="tarski.html#K2">}</a></span></span><a href="tarski.html#K1">}</a></span></span><a href="tarski.html#K2">}</a></span>,<span class="p2">(<span class="default"><font color="Maroon">c<sub>5</sub></font> <a href="mcart_1.html#K11" target="_self">`4</a> </span>)</span></span><a href="tarski.html#K2">}</a></span> <a href="hidden.html#R2">in</a> <span class="p1"><a href="tarski.html#K2">{</a><span class="default"><span class="p2"><a href="tarski.html#K2">{</a><span class="default"><span class="p3"><a href="tarski.html#K2">{</a><span class="default"><span class="p4"><a href="tarski.html#K2">{</a><span class="default"><span class="p5"><a href="tarski.html#K2">{</a><span class="default"><span class="p0"><a href="tarski.html#K2">{</a><span class="default"><span class="p1">(<span class="default"><font color="Maroon">c<sub>5</sub></font> <a href="mcart_1.html#K8" target="_self">`1</a> </span>)</span>,<span class="p1">(<span class="default"><font color="Maroon">c<sub>5</sub></font> <a href="mcart_1.html#K9" target="_self">`2</a> </span>)</span></span><a href="tarski.html#K2">}</a></span>,<span class="p0"><a href="tarski.html#K1">{</a><span class="default"><span class="p1">(<span class="default"><font color="Maroon">c<sub>5</sub></font> <a href="mcart_1.html#K8" target="_self">`1</a> </span>)</span></span><a href="tarski.html#K1">}</a></span></span><a href="tarski.html#K2">}</a></span>,<span class="p5">(<span class="default"><font color="Maroon">c<sub>5</sub></font> <a href="mcart_1.html#K10" target="_self">`3</a> </span>)</span></span><a href="tarski.html#K2">}</a></span>,<span class="p4"><a href="tarski.html#K1">{</a><span class="default"><span class="p5"><a href="tarski.html#K2">{</a><span class="default"><span class="p0"><a href="tarski.html#K2">{</a><span class="default"><span class="p1">(<span class="default"><font color="Maroon">c<sub>5</sub></font> <a href="mcart_1.html#K8" target="_self">`1</a> </span>)</span>,<span class="p1">(<span class="default"><font color="Maroon">c<sub>5</sub></font> <a href="mcart_1.html#K9" target="_self">`2</a> </span>)</span></span><a href="tarski.html#K2">}</a></span>,<span class="p0"><a href="tarski.html#K1">{</a><span class="default"><span class="p1">(<span class="default"><font color="Maroon">c<sub>5</sub></font> <a href="mcart_1.html#K8" target="_self">`1</a> </span>)</span></span><a href="tarski.html#K1">}</a></span></span><a href="tarski.html#K2">}</a></span></span><a href="tarski.html#K1">}</a></span></span><a href="tarski.html#K2">}</a></span>,<span class="p3">(<span class="default"><font color="Maroon">c<sub>5</sub></font> <a href="mcart_1.html#K11" target="_self">`4</a> </span>)</span></span><a href="tarski.html#K2">}</a></span>,<span class="p2"><a href="tarski.html#K1">{</a><span class="default"><span class="p3"><a href="tarski.html#K2">{</a><span class="default"><span class="p4"><a href="tarski.html#K2">{</a><span class="default"><span class="p5"><a href="tarski.html#K2">{</a><span class="default"><span class="p0"><a href="tarski.html#K2">{</a><span class="default"><span class="p1">(<span class="default"><font color="Maroon">c<sub>5</sub></font> <a href="mcart_1.html#K8" target="_self">`1</a> </span>)</span>,<span class="p1">(<span class="default"><font color="Maroon">c<sub>5</sub></font> <a href="mcart_1.html#K9" target="_self">`2</a> </span>)</span></span><a href="tarski.html#K2">}</a></span>,<span class="p0"><a href="tarski.html#K1">{</a><span class="default"><span class="p1">(<span class="default"><font color="Maroon">c<sub>5</sub></font> <a href="mcart_1.html#K8" target="_self">`1</a> </span>)</span></span><a href="tarski.html#K1">}</a></span></span><a href="tarski.html#K2">}</a></span>,<span class="p5">(<span class="default"><font color="Maroon">c<sub>5</sub></font> <a href="mcart_1.html#K10" target="_self">`3</a> </span>)</span></span><a href="tarski.html#K2">}</a></span>,<span class="p4"><a href="tarski.html#K1">{</a><span class="default"><span class="p5"><a href="tarski.html#K2">{</a><span class="default"><span class="p0"><a href="tarski.html#K2">{</a><span class="default"><span class="p1">(<span class="default"><font color="Maroon">c<sub>5</sub></font> <a href="mcart_1.html#K8" target="_self">`1</a> </span>)</span>,<span class="p1">(<span class="default"><font color="Maroon">c<sub>5</sub></font> <a href="mcart_1.html#K9" target="_self">`2</a> </span>)</span></span><a href="tarski.html#K2">}</a></span>,<span class="p0"><a href="tarski.html#K1">{</a><span class="default"><span class="p1">(<span class="default"><font color="Maroon">c<sub>5</sub></font> <a href="mcart_1.html#K8" target="_self">`1</a> </span>)</span></span><a href="tarski.html#K1">}</a></span></span><a href="tarski.html#K2">}</a></span></span><a href="tarski.html#K1">}</a></span></span><a href="tarski.html#K2">}</a></span></span><a href="tarski.html#K1">}</a></span></span><a href="tarski.html#K2">}</a></span> ) )
 
<b>by </b><i><a class="ref" href="tarski.html#D2">TARSKI:def 2</a></i>;<br/>
<b>hence </b><a NAME="E5:61"/>
( <font color="Maroon">c<sub>5</sub></font> <a href="hidden.html#NR2" target="_self">&lt;&gt;</a> <font color="Maroon">c<sub>5</sub></font> <a href="mcart_1.html#K8" target="_self">`1</a>  &amp; <font color="Maroon">c<sub>5</sub></font> <a href="hidden.html#NR2" target="_self">&lt;&gt;</a> <font color="Maroon">c<sub>5</sub></font> <a href="mcart_1.html#K9" target="_self">`2</a>  )
 <b>by </b><i><a class="ref" href="ordinal1.html#T6">ORDINAL1:6</a></i>;<br/>

<b>reconsider </b><font color="Maroon">c<sub>12</sub></font> = <font color="Maroon">c<sub>5</sub></font> as    <a href="subset_1.html#M1">Element</a> of <span class="p1"><a href="zfmisc_1.html#K3">[:</a><span class="default"><span class="p2"><a href="zfmisc_1.html#K2">[:</a><span class="default"><font color="Maroon">c<sub>1</sub></font>,<font color="Maroon">c<sub>2</sub></font></span><a href="zfmisc_1.html#K2">:]</a></span>,<font color="Maroon">c<sub>3</sub></font>,<font color="Maroon">c<sub>4</sub></font></span><a href="zfmisc_1.html#K3">:]</a></span> <b>by </b><i><a class="ref" href="mcart_1.html#T54" target="_self">Th54</a></i>;<br/>
<i><font color="Green">E44</font></i>: <font color="Maroon">c<sub>5</sub></font> <a href="mcart_1.html#K10" target="_self">`3</a>  = 
<span class="p1">(<span class="default"><font color="Maroon">c<sub>5</sub></font> <a href="mcart_1.html#K1" target="_self">`1</a> </span>)</span> <a href="mcart_1.html#K2" target="_self">`2</a> 
<b>by </b><i><a class="txt" href="mcart_1.html#E1:61"><i><font color="Green">E42</font></i></a>, <a class="ref" href="mcart_1.html#T61" target="_self">Th61</a></i>
<br/>.= 
<font color="Maroon">c<sub>12</sub></font> <a href="mcart_1.html#K6" target="_self">`2</a> 
<b>by </b><i><a class="txt" href="mcart_1.html#E1:61"><i><font color="Green">E42</font></i></a>, <a class="txt" href="mcart_1.html#E2:61"><i><font color="Green">E43</font></i></a>, <a class="ref" href="mcart_1.html#T50" target="_self">Th50</a></i>
;<br/>
<font color="Maroon">c<sub>5</sub></font> <a href="mcart_1.html#K11" target="_self">`4</a>  = 
<font color="Maroon">c<sub>5</sub></font> <a href="mcart_1.html#K2" target="_self">`2</a> 
<b>by </b><i><a class="txt" href="mcart_1.html#E1:61"><i><font color="Green">E42</font></i></a>, <a class="ref" href="mcart_1.html#T61" target="_self">Th61</a></i>
<br/>.= 
<font color="Maroon">c<sub>12</sub></font> <a href="mcart_1.html#K7" target="_self">`3</a> 
<b>by </b><i><a class="txt" href="mcart_1.html#E1:61"><i><font color="Green">E42</font></i></a>, <a class="txt" href="mcart_1.html#E2:61"><i><font color="Green">E43</font></i></a>, <a class="ref" href="mcart_1.html#T50" target="_self">Th50</a></i>
;<br/>
<b>hence </b><a NAME="E9:61"/>
( <font color="Maroon">c<sub>5</sub></font> <a href="hidden.html#NR2" target="_self">&lt;&gt;</a> <font color="Maroon">c<sub>5</sub></font> <a href="mcart_1.html#K10" target="_self">`3</a>  &amp; <font color="Maroon">c<sub>5</sub></font> <a href="hidden.html#NR2" target="_self">&lt;&gt;</a> <font color="Maroon">c<sub>5</sub></font> <a href="mcart_1.html#K11" target="_self">`4</a>  )
 <b>by </b><i><a class="txt" href="mcart_1.html#E1:61"><i><font color="Green">E42</font></i></a>, <a class="txt" href="mcart_1.html#E2:61"><i><font color="Green">E43</font></i></a>, <a class="txt" href="mcart_1.html#E7:61"><i><font color="Green">E44</font></i></a>, <a class="ref" href="mcart_1.html#T51" target="_self">Th51</a></i>;<br/>


</div>
