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<span class="kw">let </span><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>, <font color="Maroon" title="c9">Y1</font>, <font color="Maroon" title="c10">Y2</font>, <font color="Maroon" title="c11">Y3</font>, <font color="Maroon" title="c12">Y4</font>, <font color="Maroon" title="c13">Y5</font>, <font color="Maroon" title="c14">Y6</font>, <font color="Maroon" title="c15">Y7</font>, <font color="Maroon" title="c16">Y8</font> be    <a href="hidden.html#M1" title="HIDDEN:mode.1">set</a> ; <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></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>  &amp; <font color="Maroon" title="c9">Y1</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="c10">Y2</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="c11">Y3</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="c12">Y4</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="c13">Y5</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="c14">Y6</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="c15">Y7</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="c16">Y8</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_2.html#K27" title="MCART_2:func.27">[:</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_2.html#K27" title="MCART_2:func.27">:]</a></span><br/>  for <font color="Olive" title="b2">y</font> being    <a href="subset_1.html#M1" title="SUBSET_1:mode.1">Element</a> of <span class="p1"><a href="mcart_2.html#K27" title="MCART_2:func.27">[:</a><span class="default"><font color="Maroon" title="c9">Y1</font>,<font color="Maroon" title="c10">Y2</font>,<font color="Maroon" title="c11">Y3</font>,<font color="Maroon" title="c12">Y4</font>,<font color="Maroon" title="c13">Y5</font>,<font color="Maroon" title="c14">Y6</font>,<font color="Maroon" title="c15">Y7</font>,<font color="Maroon" title="c16">Y8</font></span><a href="mcart_2.html#K27" title="MCART_2:func.27">:]</a></span>  st <font color="Olive" title="b1">x</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b2">y</font> holds <br/>( <font color="Olive" title="b1">x</font> <a href="mcart_2.html#K28" title="MCART_2:func.28">`1</a>  <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b2">y</font> <a href="mcart_2.html#K28" title="MCART_2:func.28">`1</a>  &amp; <font color="Olive" title="b1">x</font> <a href="mcart_2.html#K29" title="MCART_2:func.29">`2</a>  <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b2">y</font> <a href="mcart_2.html#K29" title="MCART_2:func.29">`2</a>  &amp; <font color="Olive" title="b1">x</font> <a href="mcart_2.html#K30" title="MCART_2:func.30">`3</a>  <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b2">y</font> <a href="mcart_2.html#K30" title="MCART_2:func.30">`3</a>  &amp; <font color="Olive" title="b1">x</font> <a href="mcart_2.html#K31" title="MCART_2:func.31">`4</a>  <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b2">y</font> <a href="mcart_2.html#K31" title="MCART_2:func.31">`4</a>  &amp; <font color="Olive" title="b1">x</font> <a href="mcart_2.html#K32" title="MCART_2:func.32">`5</a>  <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b2">y</font> <a href="mcart_2.html#K32" title="MCART_2:func.32">`5</a>  &amp; <font color="Olive" title="b1">x</font> <a href="mcart_2.html#K33" title="MCART_2:func.33">`6</a>  <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b2">y</font> <a href="mcart_2.html#K33" title="MCART_2:func.33">`6</a>  &amp; <font color="Olive" title="b1">x</font> <a href="mcart_2.html#K34" title="MCART_2:func.34">`7</a>  <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b2">y</font> <a href="mcart_2.html#K34" title="MCART_2:func.34">`7</a>  &amp; <font color="Olive" title="b1">x</font> <a href="mcart_2.html#K35" title="MCART_2:func.35">`8</a>  <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b2">y</font> <a href="mcart_2.html#K35" title="MCART_2:func.35">`8</a>  ) )</span><br/>































<span class="kw">assume </span><span class="kw">that </span><br/><a NAME="E1:138"/><span class="lab"><font color="Green" title="E95">A1</font></span>: 
( <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>  )
 <span class="kw">and </span><br/><a NAME="E2:138"/><span class="lab"><font color="Green" title="E96">A2</font></span>: 
( <font color="Maroon" title="c9">Y1</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="c10">Y2</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="c11">Y3</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="c12">Y4</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="c13">Y5</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="c14">Y6</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="c15">Y7</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="c16">Y8</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:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></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_2.html#K27" title="MCART_2:func.27">[:</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_2.html#K27" title="MCART_2:func.27">:]</a></span><br/>  for <font color="Olive" title="b2">y</font> being    <a href="subset_1.html#M1" title="SUBSET_1:mode.1">Element</a> of <span class="p1"><a href="mcart_2.html#K27" title="MCART_2:func.27">[:</a><span class="default"><font color="Maroon" title="c9">Y1</font>,<font color="Maroon" title="c10">Y2</font>,<font color="Maroon" title="c11">Y3</font>,<font color="Maroon" title="c12">Y4</font>,<font color="Maroon" title="c13">Y5</font>,<font color="Maroon" title="c14">Y6</font>,<font color="Maroon" title="c15">Y7</font>,<font color="Maroon" title="c16">Y8</font></span><a href="mcart_2.html#K27" title="MCART_2:func.27">:]</a></span>  st <font color="Olive" title="b1">x</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b2">y</font> holds <br/>( <font color="Olive" title="b1">x</font> <a href="mcart_2.html#K28" title="MCART_2:func.28">`1</a>  <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b2">y</font> <a href="mcart_2.html#K28" title="MCART_2:func.28">`1</a>  &amp; <font color="Olive" title="b1">x</font> <a href="mcart_2.html#K29" title="MCART_2:func.29">`2</a>  <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b2">y</font> <a href="mcart_2.html#K29" title="MCART_2:func.29">`2</a>  &amp; <font color="Olive" title="b1">x</font> <a href="mcart_2.html#K30" title="MCART_2:func.30">`3</a>  <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b2">y</font> <a href="mcart_2.html#K30" title="MCART_2:func.30">`3</a>  &amp; <font color="Olive" title="b1">x</font> <a href="mcart_2.html#K31" title="MCART_2:func.31">`4</a>  <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b2">y</font> <a href="mcart_2.html#K31" title="MCART_2:func.31">`4</a>  &amp; <font color="Olive" title="b1">x</font> <a href="mcart_2.html#K32" title="MCART_2:func.32">`5</a>  <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b2">y</font> <a href="mcart_2.html#K32" title="MCART_2:func.32">`5</a>  &amp; <font color="Olive" title="b1">x</font> <a href="mcart_2.html#K33" title="MCART_2:func.33">`6</a>  <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b2">y</font> <a href="mcart_2.html#K33" title="MCART_2:func.33">`6</a>  &amp; <font color="Olive" title="b1">x</font> <a href="mcart_2.html#K34" title="MCART_2:func.34">`7</a>  <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b2">y</font> <a href="mcart_2.html#K34" title="MCART_2:func.34">`7</a>  &amp; <font color="Olive" title="b1">x</font> <a href="mcart_2.html#K35" title="MCART_2:func.35">`8</a>  <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b2">y</font> <a href="mcart_2.html#K35" title="MCART_2:func.35">`8</a>  )</span><br/>

<span class="kw">let </span><font color="Maroon" title="c17">x</font> be    <a href="subset_1.html#M1" title="SUBSET_1:mode.1">Element</a> of <span class="p1"><a href="mcart_2.html#K27" title="MCART_2:func.27">[:</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_2.html#K27" title="MCART_2:func.27">:]</a></span>; <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide">  for <font color="Olive" title="b1">y</font> being    <a href="subset_1.html#M1" title="SUBSET_1:mode.1">Element</a> of <span class="p1"><a href="mcart_2.html#K27" title="MCART_2:func.27">[:</a><span class="default"><font color="Maroon" title="c9">Y1</font>,<font color="Maroon" title="c10">Y2</font>,<font color="Maroon" title="c11">Y3</font>,<font color="Maroon" title="c12">Y4</font>,<font color="Maroon" title="c13">Y5</font>,<font color="Maroon" title="c14">Y6</font>,<font color="Maroon" title="c15">Y7</font>,<font color="Maroon" title="c16">Y8</font></span><a href="mcart_2.html#K27" title="MCART_2:func.27">:]</a></span>  st <font color="Maroon" title="c17">x</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b1">y</font> holds <br/>( <font color="Maroon" title="c17">x</font> <a href="mcart_2.html#K28" title="MCART_2:func.28">`1</a>  <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b1">y</font> <a href="mcart_2.html#K28" title="MCART_2:func.28">`1</a>  &amp; <font color="Maroon" title="c17">x</font> <a href="mcart_2.html#K29" title="MCART_2:func.29">`2</a>  <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b1">y</font> <a href="mcart_2.html#K29" title="MCART_2:func.29">`2</a>  &amp; <font color="Maroon" title="c17">x</font> <a href="mcart_2.html#K30" title="MCART_2:func.30">`3</a>  <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b1">y</font> <a href="mcart_2.html#K30" title="MCART_2:func.30">`3</a>  &amp; <font color="Maroon" title="c17">x</font> <a href="mcart_2.html#K31" title="MCART_2:func.31">`4</a>  <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b1">y</font> <a href="mcart_2.html#K31" title="MCART_2:func.31">`4</a>  &amp; <font color="Maroon" title="c17">x</font> <a href="mcart_2.html#K32" title="MCART_2:func.32">`5</a>  <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b1">y</font> <a href="mcart_2.html#K32" title="MCART_2:func.32">`5</a>  &amp; <font color="Maroon" title="c17">x</font> <a href="mcart_2.html#K33" title="MCART_2:func.33">`6</a>  <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b1">y</font> <a href="mcart_2.html#K33" title="MCART_2:func.33">`6</a>  &amp; <font color="Maroon" title="c17">x</font> <a href="mcart_2.html#K34" title="MCART_2:func.34">`7</a>  <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b1">y</font> <a href="mcart_2.html#K34" title="MCART_2:func.34">`7</a>  &amp; <font color="Maroon" title="c17">x</font> <a href="mcart_2.html#K35" title="MCART_2:func.35">`8</a>  <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b1">y</font> <a href="mcart_2.html#K35" title="MCART_2:func.35">`8</a>  )</span><br/><span class="kw">let </span><font color="Maroon" title="c18">y</font> be    <a href="subset_1.html#M1" title="SUBSET_1:mode.1">Element</a> of <span class="p1"><a href="mcart_2.html#K27" title="MCART_2:func.27">[:</a><span class="default"><font color="Maroon" title="c9">Y1</font>,<font color="Maroon" title="c10">Y2</font>,<font color="Maroon" title="c11">Y3</font>,<font color="Maroon" title="c12">Y4</font>,<font color="Maroon" title="c13">Y5</font>,<font color="Maroon" title="c14">Y6</font>,<font color="Maroon" title="c15">Y7</font>,<font color="Maroon" title="c16">Y8</font></span><a href="mcart_2.html#K27" title="MCART_2:func.27">:]</a></span>; <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide"> ( <font color="Maroon" title="c17">x</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c18">y</font> implies ( <font color="Maroon" title="c17">x</font> <a href="mcart_2.html#K28" title="MCART_2:func.28">`1</a>  <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c18">y</font> <a href="mcart_2.html#K28" title="MCART_2:func.28">`1</a>  &amp; <font color="Maroon" title="c17">x</font> <a href="mcart_2.html#K29" title="MCART_2:func.29">`2</a>  <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c18">y</font> <a href="mcart_2.html#K29" title="MCART_2:func.29">`2</a>  &amp; <font color="Maroon" title="c17">x</font> <a href="mcart_2.html#K30" title="MCART_2:func.30">`3</a>  <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c18">y</font> <a href="mcart_2.html#K30" title="MCART_2:func.30">`3</a>  &amp; <font color="Maroon" title="c17">x</font> <a href="mcart_2.html#K31" title="MCART_2:func.31">`4</a>  <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c18">y</font> <a href="mcart_2.html#K31" title="MCART_2:func.31">`4</a>  &amp; <font color="Maroon" title="c17">x</font> <a href="mcart_2.html#K32" title="MCART_2:func.32">`5</a>  <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c18">y</font> <a href="mcart_2.html#K32" title="MCART_2:func.32">`5</a>  &amp; <font color="Maroon" title="c17">x</font> <a href="mcart_2.html#K33" title="MCART_2:func.33">`6</a>  <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c18">y</font> <a href="mcart_2.html#K33" title="MCART_2:func.33">`6</a>  &amp; <font color="Maroon" title="c17">x</font> <a href="mcart_2.html#K34" title="MCART_2:func.34">`7</a>  <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c18">y</font> <a href="mcart_2.html#K34" title="MCART_2:func.34">`7</a>  &amp; <font color="Maroon" title="c17">x</font> <a href="mcart_2.html#K35" title="MCART_2:func.35">`8</a>  <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c18">y</font> <a href="mcart_2.html#K35" title="MCART_2:func.35">`8</a>  ) )</span><br/>



<span class="kw">assume </span><a NAME="E3:138"/><span class="lab"><font color="Green" title="E97">A3</font></span>: 
<font color="Maroon" title="c17">x</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c18">y</font>
 ; <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide"> ( <font color="Maroon" title="c17">x</font> <a href="mcart_2.html#K28" title="MCART_2:func.28">`1</a>  <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c18">y</font> <a href="mcart_2.html#K28" title="MCART_2:func.28">`1</a>  &amp; <font color="Maroon" title="c17">x</font> <a href="mcart_2.html#K29" title="MCART_2:func.29">`2</a>  <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c18">y</font> <a href="mcart_2.html#K29" title="MCART_2:func.29">`2</a>  &amp; <font color="Maroon" title="c17">x</font> <a href="mcart_2.html#K30" title="MCART_2:func.30">`3</a>  <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c18">y</font> <a href="mcart_2.html#K30" title="MCART_2:func.30">`3</a>  &amp; <font color="Maroon" title="c17">x</font> <a href="mcart_2.html#K31" title="MCART_2:func.31">`4</a>  <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c18">y</font> <a href="mcart_2.html#K31" title="MCART_2:func.31">`4</a>  &amp; <font color="Maroon" title="c17">x</font> <a href="mcart_2.html#K32" title="MCART_2:func.32">`5</a>  <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c18">y</font> <a href="mcart_2.html#K32" title="MCART_2:func.32">`5</a>  &amp; <font color="Maroon" title="c17">x</font> <a href="mcart_2.html#K33" title="MCART_2:func.33">`6</a>  <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c18">y</font> <a href="mcart_2.html#K33" title="MCART_2:func.33">`6</a>  &amp; <font color="Maroon" title="c17">x</font> <a href="mcart_2.html#K34" title="MCART_2:func.34">`7</a>  <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c18">y</font> <a href="mcart_2.html#K34" title="MCART_2:func.34">`7</a>  &amp; <font color="Maroon" title="c17">x</font> <a href="mcart_2.html#K35" title="MCART_2:func.35">`8</a>  <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c18">y</font> <a href="mcart_2.html#K35" title="MCART_2:func.35">`8</a>  )</span><br/>

<span class="kw">thus </span><font color="Maroon" title="c17">x</font> <a href="mcart_2.html#K28" title="MCART_2:func.28">`1</a>  = 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><font color="Maroon" title="c17">x</font> <a href="mcart_1.html#K1" title="MCART_1:func.1">`1</a></span>)</span> <a href="mcart_1.html#K1" title="MCART_1:func.1">`1</a></span>)</span> <a href="mcart_1.html#K1" title="MCART_1:func.1">`1</a></span>)</span> <a href="mcart_1.html#K1" title="MCART_1:func.1">`1</a></span>)</span> <a href="mcart_1.html#K1" title="MCART_1:func.1">`1</a></span>)</span> <a href="mcart_1.html#K1" title="MCART_1:func.1">`1</a></span>)</span> <a href="mcart_1.html#K1" title="MCART_1:func.1">`1</a> 
<span class="kw">by</span> <span class="lab"><a class="txt" href="#E1:138"><span class="lab"><font color="Green" title="E95">A1</font></span></a>, <a class="ref" href="mcart_2.html#T137" target="_self" title="MCART_2:th.137">Th139</a></span>
<br/>.= 
<font color="Maroon" title="c18">y</font> <a href="mcart_2.html#K28" title="MCART_2:func.28">`1</a> 
<span class="kw">by</span> <span class="lab"><a class="txt" href="#E2:138"><span class="lab"><font color="Green" title="E96">A2</font></span></a>, <a class="txt" href="#E3:138"><span class="lab"><font color="Green" title="E97">A3</font></span></a>, <a class="ref" href="mcart_2.html#T137" target="_self" title="MCART_2:th.137">Th139</a></span>
; <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide"> ( <font color="Maroon" title="c17">x</font> <a href="mcart_2.html#K29" title="MCART_2:func.29">`2</a>  <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c18">y</font> <a href="mcart_2.html#K29" title="MCART_2:func.29">`2</a>  &amp; <font color="Maroon" title="c17">x</font> <a href="mcart_2.html#K30" title="MCART_2:func.30">`3</a>  <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c18">y</font> <a href="mcart_2.html#K30" title="MCART_2:func.30">`3</a>  &amp; <font color="Maroon" title="c17">x</font> <a href="mcart_2.html#K31" title="MCART_2:func.31">`4</a>  <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c18">y</font> <a href="mcart_2.html#K31" title="MCART_2:func.31">`4</a>  &amp; <font color="Maroon" title="c17">x</font> <a href="mcart_2.html#K32" title="MCART_2:func.32">`5</a>  <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c18">y</font> <a href="mcart_2.html#K32" title="MCART_2:func.32">`5</a>  &amp; <font color="Maroon" title="c17">x</font> <a href="mcart_2.html#K33" title="MCART_2:func.33">`6</a>  <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c18">y</font> <a href="mcart_2.html#K33" title="MCART_2:func.33">`6</a>  &amp; <font color="Maroon" title="c17">x</font> <a href="mcart_2.html#K34" title="MCART_2:func.34">`7</a>  <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c18">y</font> <a href="mcart_2.html#K34" title="MCART_2:func.34">`7</a>  &amp; <font color="Maroon" title="c17">x</font> <a href="mcart_2.html#K35" title="MCART_2:func.35">`8</a>  <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c18">y</font> <a href="mcart_2.html#K35" title="MCART_2:func.35">`8</a>  )</span><br/>

<span class="kw">thus </span><font color="Maroon" title="c17">x</font> <a href="mcart_2.html#K29" title="MCART_2:func.29">`2</a>  = 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><font color="Maroon" title="c17">x</font> <a href="mcart_1.html#K1" title="MCART_1:func.1">`1</a></span>)</span> <a href="mcart_1.html#K1" title="MCART_1:func.1">`1</a></span>)</span> <a href="mcart_1.html#K1" title="MCART_1:func.1">`1</a></span>)</span> <a href="mcart_1.html#K1" title="MCART_1:func.1">`1</a></span>)</span> <a href="mcart_1.html#K1" title="MCART_1:func.1">`1</a></span>)</span> <a href="mcart_1.html#K1" title="MCART_1:func.1">`1</a></span>)</span> <a href="mcart_1.html#K2" title="MCART_1:func.2">`2</a> 
<span class="kw">by</span> <span class="lab"><a class="txt" href="#E1:138"><span class="lab"><font color="Green" title="E95">A1</font></span></a>, <a class="ref" href="mcart_2.html#T137" target="_self" title="MCART_2:th.137">Th139</a></span>
<br/>.= 
<font color="Maroon" title="c18">y</font> <a href="mcart_2.html#K29" title="MCART_2:func.29">`2</a> 
<span class="kw">by</span> <span class="lab"><a class="txt" href="#E2:138"><span class="lab"><font color="Green" title="E96">A2</font></span></a>, <a class="txt" href="#E3:138"><span class="lab"><font color="Green" title="E97">A3</font></span></a>, <a class="ref" href="mcart_2.html#T137" target="_self" title="MCART_2:th.137">Th139</a></span>
; <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide"> ( <font color="Maroon" title="c17">x</font> <a href="mcart_2.html#K30" title="MCART_2:func.30">`3</a>  <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c18">y</font> <a href="mcart_2.html#K30" title="MCART_2:func.30">`3</a>  &amp; <font color="Maroon" title="c17">x</font> <a href="mcart_2.html#K31" title="MCART_2:func.31">`4</a>  <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c18">y</font> <a href="mcart_2.html#K31" title="MCART_2:func.31">`4</a>  &amp; <font color="Maroon" title="c17">x</font> <a href="mcart_2.html#K32" title="MCART_2:func.32">`5</a>  <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c18">y</font> <a href="mcart_2.html#K32" title="MCART_2:func.32">`5</a>  &amp; <font color="Maroon" title="c17">x</font> <a href="mcart_2.html#K33" title="MCART_2:func.33">`6</a>  <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c18">y</font> <a href="mcart_2.html#K33" title="MCART_2:func.33">`6</a>  &amp; <font color="Maroon" title="c17">x</font> <a href="mcart_2.html#K34" title="MCART_2:func.34">`7</a>  <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c18">y</font> <a href="mcart_2.html#K34" title="MCART_2:func.34">`7</a>  &amp; <font color="Maroon" title="c17">x</font> <a href="mcart_2.html#K35" title="MCART_2:func.35">`8</a>  <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c18">y</font> <a href="mcart_2.html#K35" title="MCART_2:func.35">`8</a>  )</span><br/>

<span class="kw">thus </span><font color="Maroon" title="c17">x</font> <a href="mcart_2.html#K30" title="MCART_2:func.30">`3</a>  = 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><font color="Maroon" title="c17">x</font> <a href="mcart_1.html#K1" title="MCART_1:func.1">`1</a></span>)</span> <a href="mcart_1.html#K1" title="MCART_1:func.1">`1</a></span>)</span> <a href="mcart_1.html#K1" title="MCART_1:func.1">`1</a></span>)</span> <a href="mcart_1.html#K1" title="MCART_1:func.1">`1</a></span>)</span> <a href="mcart_1.html#K1" title="MCART_1:func.1">`1</a></span>)</span> <a href="mcart_1.html#K2" title="MCART_1:func.2">`2</a> 
<span class="kw">by</span> <span class="lab"><a class="txt" href="#E1:138"><span class="lab"><font color="Green" title="E95">A1</font></span></a>, <a class="ref" href="mcart_2.html#T137" target="_self" title="MCART_2:th.137">Th139</a></span>
<br/>.= 
<font color="Maroon" title="c18">y</font> <a href="mcart_2.html#K30" title="MCART_2:func.30">`3</a> 
<span class="kw">by</span> <span class="lab"><a class="txt" href="#E2:138"><span class="lab"><font color="Green" title="E96">A2</font></span></a>, <a class="txt" href="#E3:138"><span class="lab"><font color="Green" title="E97">A3</font></span></a>, <a class="ref" href="mcart_2.html#T137" target="_self" title="MCART_2:th.137">Th139</a></span>
; <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide"> ( <font color="Maroon" title="c17">x</font> <a href="mcart_2.html#K31" title="MCART_2:func.31">`4</a>  <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c18">y</font> <a href="mcart_2.html#K31" title="MCART_2:func.31">`4</a>  &amp; <font color="Maroon" title="c17">x</font> <a href="mcart_2.html#K32" title="MCART_2:func.32">`5</a>  <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c18">y</font> <a href="mcart_2.html#K32" title="MCART_2:func.32">`5</a>  &amp; <font color="Maroon" title="c17">x</font> <a href="mcart_2.html#K33" title="MCART_2:func.33">`6</a>  <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c18">y</font> <a href="mcart_2.html#K33" title="MCART_2:func.33">`6</a>  &amp; <font color="Maroon" title="c17">x</font> <a href="mcart_2.html#K34" title="MCART_2:func.34">`7</a>  <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c18">y</font> <a href="mcart_2.html#K34" title="MCART_2:func.34">`7</a>  &amp; <font color="Maroon" title="c17">x</font> <a href="mcart_2.html#K35" title="MCART_2:func.35">`8</a>  <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c18">y</font> <a href="mcart_2.html#K35" title="MCART_2:func.35">`8</a>  )</span><br/>

<span class="kw">thus </span><font color="Maroon" title="c17">x</font> <a href="mcart_2.html#K31" title="MCART_2:func.31">`4</a>  = 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><font color="Maroon" title="c17">x</font> <a href="mcart_1.html#K1" title="MCART_1:func.1">`1</a></span>)</span> <a href="mcart_1.html#K1" title="MCART_1:func.1">`1</a></span>)</span> <a href="mcart_1.html#K1" title="MCART_1:func.1">`1</a></span>)</span> <a href="mcart_1.html#K1" title="MCART_1:func.1">`1</a></span>)</span> <a href="mcart_1.html#K2" title="MCART_1:func.2">`2</a> 
<span class="kw">by</span> <span class="lab"><a class="txt" href="#E1:138"><span class="lab"><font color="Green" title="E95">A1</font></span></a>, <a class="ref" href="mcart_2.html#T137" target="_self" title="MCART_2:th.137">Th139</a></span>
<br/>.= 
<font color="Maroon" title="c18">y</font> <a href="mcart_2.html#K31" title="MCART_2:func.31">`4</a> 
<span class="kw">by</span> <span class="lab"><a class="txt" href="#E2:138"><span class="lab"><font color="Green" title="E96">A2</font></span></a>, <a class="txt" href="#E3:138"><span class="lab"><font color="Green" title="E97">A3</font></span></a>, <a class="ref" href="mcart_2.html#T137" target="_self" title="MCART_2:th.137">Th139</a></span>
; <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide"> ( <font color="Maroon" title="c17">x</font> <a href="mcart_2.html#K32" title="MCART_2:func.32">`5</a>  <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c18">y</font> <a href="mcart_2.html#K32" title="MCART_2:func.32">`5</a>  &amp; <font color="Maroon" title="c17">x</font> <a href="mcart_2.html#K33" title="MCART_2:func.33">`6</a>  <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c18">y</font> <a href="mcart_2.html#K33" title="MCART_2:func.33">`6</a>  &amp; <font color="Maroon" title="c17">x</font> <a href="mcart_2.html#K34" title="MCART_2:func.34">`7</a>  <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c18">y</font> <a href="mcart_2.html#K34" title="MCART_2:func.34">`7</a>  &amp; <font color="Maroon" title="c17">x</font> <a href="mcart_2.html#K35" title="MCART_2:func.35">`8</a>  <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c18">y</font> <a href="mcart_2.html#K35" title="MCART_2:func.35">`8</a>  )</span><br/>

<span class="kw">thus </span><font color="Maroon" title="c17">x</font> <a href="mcart_2.html#K32" title="MCART_2:func.32">`5</a>  = 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><font color="Maroon" title="c17">x</font> <a href="mcart_1.html#K1" title="MCART_1:func.1">`1</a></span>)</span> <a href="mcart_1.html#K1" title="MCART_1:func.1">`1</a></span>)</span> <a href="mcart_1.html#K1" title="MCART_1:func.1">`1</a></span>)</span> <a href="mcart_1.html#K2" title="MCART_1:func.2">`2</a> 
<span class="kw">by</span> <span class="lab"><a class="txt" href="#E1:138"><span class="lab"><font color="Green" title="E95">A1</font></span></a>, <a class="ref" href="mcart_2.html#T137" target="_self" title="MCART_2:th.137">Th139</a></span>
<br/>.= 
<font color="Maroon" title="c18">y</font> <a href="mcart_2.html#K32" title="MCART_2:func.32">`5</a> 
<span class="kw">by</span> <span class="lab"><a class="txt" href="#E2:138"><span class="lab"><font color="Green" title="E96">A2</font></span></a>, <a class="txt" href="#E3:138"><span class="lab"><font color="Green" title="E97">A3</font></span></a>, <a class="ref" href="mcart_2.html#T137" target="_self" title="MCART_2:th.137">Th139</a></span>
; <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide"> ( <font color="Maroon" title="c17">x</font> <a href="mcart_2.html#K33" title="MCART_2:func.33">`6</a>  <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c18">y</font> <a href="mcart_2.html#K33" title="MCART_2:func.33">`6</a>  &amp; <font color="Maroon" title="c17">x</font> <a href="mcart_2.html#K34" title="MCART_2:func.34">`7</a>  <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c18">y</font> <a href="mcart_2.html#K34" title="MCART_2:func.34">`7</a>  &amp; <font color="Maroon" title="c17">x</font> <a href="mcart_2.html#K35" title="MCART_2:func.35">`8</a>  <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c18">y</font> <a href="mcart_2.html#K35" title="MCART_2:func.35">`8</a>  )</span><br/>

<span class="kw">thus </span><font color="Maroon" title="c17">x</font> <a href="mcart_2.html#K33" title="MCART_2:func.33">`6</a>  = 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><font color="Maroon" title="c17">x</font> <a href="mcart_1.html#K1" title="MCART_1:func.1">`1</a></span>)</span> <a href="mcart_1.html#K1" title="MCART_1:func.1">`1</a></span>)</span> <a href="mcart_1.html#K2" title="MCART_1:func.2">`2</a> 
<span class="kw">by</span> <span class="lab"><a class="txt" href="#E1:138"><span class="lab"><font color="Green" title="E95">A1</font></span></a>, <a class="ref" href="mcart_2.html#T137" target="_self" title="MCART_2:th.137">Th139</a></span>
<br/>.= 
<font color="Maroon" title="c18">y</font> <a href="mcart_2.html#K33" title="MCART_2:func.33">`6</a> 
<span class="kw">by</span> <span class="lab"><a class="txt" href="#E2:138"><span class="lab"><font color="Green" title="E96">A2</font></span></a>, <a class="txt" href="#E3:138"><span class="lab"><font color="Green" title="E97">A3</font></span></a>, <a class="ref" href="mcart_2.html#T137" target="_self" title="MCART_2:th.137">Th139</a></span>
; <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide"> ( <font color="Maroon" title="c17">x</font> <a href="mcart_2.html#K34" title="MCART_2:func.34">`7</a>  <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c18">y</font> <a href="mcart_2.html#K34" title="MCART_2:func.34">`7</a>  &amp; <font color="Maroon" title="c17">x</font> <a href="mcart_2.html#K35" title="MCART_2:func.35">`8</a>  <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c18">y</font> <a href="mcart_2.html#K35" title="MCART_2:func.35">`8</a>  )</span><br/>

<span class="kw">thus </span><font color="Maroon" title="c17">x</font> <a href="mcart_2.html#K34" title="MCART_2:func.34">`7</a>  = 
<span class="p1">(<span class="default"><font color="Maroon" title="c17">x</font> <a href="mcart_1.html#K1" title="MCART_1:func.1">`1</a></span>)</span> <a href="mcart_1.html#K2" title="MCART_1:func.2">`2</a> 
<span class="kw">by</span> <span class="lab"><a class="txt" href="#E1:138"><span class="lab"><font color="Green" title="E95">A1</font></span></a>, <a class="ref" href="mcart_2.html#T137" target="_self" title="MCART_2:th.137">Th139</a></span>
<br/>.= 
<font color="Maroon" title="c18">y</font> <a href="mcart_2.html#K34" title="MCART_2:func.34">`7</a> 
<span class="kw">by</span> <span class="lab"><a class="txt" href="#E2:138"><span class="lab"><font color="Green" title="E96">A2</font></span></a>, <a class="txt" href="#E3:138"><span class="lab"><font color="Green" title="E97">A3</font></span></a>, <a class="ref" href="mcart_2.html#T137" target="_self" title="MCART_2:th.137">Th139</a></span>
; <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide"> <font color="Maroon" title="c17">x</font> <a href="mcart_2.html#K35" title="MCART_2:func.35">`8</a>  <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c18">y</font> <a href="mcart_2.html#K35" title="MCART_2:func.35">`8</a> </span><br/>

<span class="kw">thus </span><font color="Maroon" title="c17">x</font> <a href="mcart_2.html#K35" title="MCART_2:func.35">`8</a>  = 
<font color="Maroon" title="c17">x</font> <a href="mcart_1.html#K2" title="MCART_1:func.2">`2</a> 
<span class="kw">by</span> <span class="lab"><a class="txt" href="#E1:138"><span class="lab"><font color="Green" title="E95">A1</font></span></a>, <a class="ref" href="mcart_2.html#T137" target="_self" title="MCART_2:th.137">Th139</a></span>
<br/>.= 
<font color="Maroon" title="c18">y</font> <a href="mcart_2.html#K35" title="MCART_2:func.35">`8</a> 
<span class="kw">by</span> <span class="lab"><a class="txt" href="#E2:138"><span class="lab"><font color="Green" title="E96">A2</font></span></a>, <a class="txt" href="#E3:138"><span class="lab"><font color="Green" title="E97">A3</font></span></a>, <a class="ref" href="mcart_2.html#T137" target="_self" title="MCART_2:th.137">Th139</a></span>
; <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide"> verum</span><br/>


</div>
