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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> 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">  for <font color="Olive" title="b1">A1</font> being   <a href="subset_1.html#NM2" title="SUBSET_1:NM.2">Subset</a> of <font color="Maroon" title="c1">X1</font><br/>  for <font color="Olive" title="b2">A2</font> being   <a href="subset_1.html#NM2" title="SUBSET_1:NM.2">Subset</a> of <font color="Maroon" title="c2">X2</font><br/>  for <font color="Olive" title="b3">A3</font> being   <a href="subset_1.html#NM2" title="SUBSET_1:NM.2">Subset</a> of <font color="Maroon" title="c3">X3</font><br/>  for <font color="Olive" title="b4">A4</font> being   <a href="subset_1.html#NM2" title="SUBSET_1:NM.2">Subset</a> of <font color="Maroon" title="c4">X4</font><br/>  for <font color="Olive" title="b5">A5</font> being   <a href="subset_1.html#NM2" title="SUBSET_1:NM.2">Subset</a> of <font color="Maroon" title="c5">X5</font><br/>  for <font color="Olive" title="b6">A6</font> being   <a href="subset_1.html#NM2" title="SUBSET_1:NM.2">Subset</a> of <font color="Maroon" title="c6">X6</font><br/>  for <font color="Olive" title="b7">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#K10" title="MCART_2: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></span><a href="mcart_2.html#K10" title="MCART_2:func.10">:]</a></span>  st <font color="Olive" title="b7">x</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a> <span class="p1"><a href="mcart_2.html#K10" title="MCART_2:func.10">[:</a><span class="default"><font color="Olive" title="b1">A1</font>,<font color="Olive" title="b2">A2</font>,<font color="Olive" title="b3">A3</font>,<font color="Olive" title="b4">A4</font>,<font color="Olive" title="b5">A5</font>,<font color="Olive" title="b6">A6</font></span><a href="mcart_2.html#K10" title="MCART_2:func.10">:]</a></span> holds <br/>( <font color="Olive" title="b7">x</font> <a href="mcart_2.html#K11" title="MCART_2:func.11">`1</a>  <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a> <font color="Olive" title="b1">A1</font> &amp; <font color="Olive" title="b7">x</font> <a href="mcart_2.html#K12" title="MCART_2:func.12">`2</a>  <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a> <font color="Olive" title="b2">A2</font> &amp; <font color="Olive" title="b7">x</font> <a href="mcart_2.html#K13" title="MCART_2:func.13">`3</a>  <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a> <font color="Olive" title="b3">A3</font> &amp; <font color="Olive" title="b7">x</font> <a href="mcart_2.html#K14" title="MCART_2:func.14">`4</a>  <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a> <font color="Olive" title="b4">A4</font> &amp; <font color="Olive" title="b7">x</font> <a href="mcart_2.html#K15" title="MCART_2:func.15">`5</a>  <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a> <font color="Olive" title="b5">A5</font> &amp; <font color="Olive" title="b7">x</font> <a href="mcart_2.html#K16" title="MCART_2:func.16">`6</a>  <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a> <font color="Olive" title="b6">A6</font> )</span><br/><span class="kw">let </span><font color="Maroon" title="c7">A1</font> be   <a href="subset_1.html#NM2" title="SUBSET_1:NM.2">Subset</a> of <font color="Maroon" title="c1">X1</font>; <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">A2</font> being   <a href="subset_1.html#NM2" title="SUBSET_1:NM.2">Subset</a> of <font color="Maroon" title="c2">X2</font><br/>  for <font color="Olive" title="b2">A3</font> being   <a href="subset_1.html#NM2" title="SUBSET_1:NM.2">Subset</a> of <font color="Maroon" title="c3">X3</font><br/>  for <font color="Olive" title="b3">A4</font> being   <a href="subset_1.html#NM2" title="SUBSET_1:NM.2">Subset</a> of <font color="Maroon" title="c4">X4</font><br/>  for <font color="Olive" title="b4">A5</font> being   <a href="subset_1.html#NM2" title="SUBSET_1:NM.2">Subset</a> of <font color="Maroon" title="c5">X5</font><br/>  for <font color="Olive" title="b5">A6</font> being   <a href="subset_1.html#NM2" title="SUBSET_1:NM.2">Subset</a> of <font color="Maroon" title="c6">X6</font><br/>  for <font color="Olive" title="b6">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#K10" title="MCART_2: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></span><a href="mcart_2.html#K10" title="MCART_2:func.10">:]</a></span>  st <font color="Olive" title="b6">x</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a> <span class="p1"><a href="mcart_2.html#K10" title="MCART_2:func.10">[:</a><span class="default"><font color="Maroon" title="c7">A1</font>,<font color="Olive" title="b1">A2</font>,<font color="Olive" title="b2">A3</font>,<font color="Olive" title="b3">A4</font>,<font color="Olive" title="b4">A5</font>,<font color="Olive" title="b5">A6</font></span><a href="mcart_2.html#K10" title="MCART_2:func.10">:]</a></span> holds <br/>( <font color="Olive" title="b6">x</font> <a href="mcart_2.html#K11" title="MCART_2:func.11">`1</a>  <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a> <font color="Maroon" title="c7">A1</font> &amp; <font color="Olive" title="b6">x</font> <a href="mcart_2.html#K12" title="MCART_2:func.12">`2</a>  <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a> <font color="Olive" title="b1">A2</font> &amp; <font color="Olive" title="b6">x</font> <a href="mcart_2.html#K13" title="MCART_2:func.13">`3</a>  <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a> <font color="Olive" title="b2">A3</font> &amp; <font color="Olive" title="b6">x</font> <a href="mcart_2.html#K14" title="MCART_2:func.14">`4</a>  <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a> <font color="Olive" title="b3">A4</font> &amp; <font color="Olive" title="b6">x</font> <a href="mcart_2.html#K15" title="MCART_2:func.15">`5</a>  <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a> <font color="Olive" title="b4">A5</font> &amp; <font color="Olive" title="b6">x</font> <a href="mcart_2.html#K16" title="MCART_2:func.16">`6</a>  <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a> <font color="Olive" title="b5">A6</font> )</span><br/><span class="kw">let </span><font color="Maroon" title="c8">A2</font> be   <a href="subset_1.html#NM2" title="SUBSET_1:NM.2">Subset</a> of <font color="Maroon" title="c2">X2</font>; <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">A3</font> being   <a href="subset_1.html#NM2" title="SUBSET_1:NM.2">Subset</a> of <font color="Maroon" title="c3">X3</font><br/>  for <font color="Olive" title="b2">A4</font> being   <a href="subset_1.html#NM2" title="SUBSET_1:NM.2">Subset</a> of <font color="Maroon" title="c4">X4</font><br/>  for <font color="Olive" title="b3">A5</font> being   <a href="subset_1.html#NM2" title="SUBSET_1:NM.2">Subset</a> of <font color="Maroon" title="c5">X5</font><br/>  for <font color="Olive" title="b4">A6</font> being   <a href="subset_1.html#NM2" title="SUBSET_1:NM.2">Subset</a> of <font color="Maroon" title="c6">X6</font><br/>  for <font color="Olive" title="b5">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#K10" title="MCART_2: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></span><a href="mcart_2.html#K10" title="MCART_2:func.10">:]</a></span>  st <font color="Olive" title="b5">x</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a> <span class="p1"><a href="mcart_2.html#K10" title="MCART_2:func.10">[:</a><span class="default"><font color="Maroon" title="c7">A1</font>,<font color="Maroon" title="c8">A2</font>,<font color="Olive" title="b1">A3</font>,<font color="Olive" title="b2">A4</font>,<font color="Olive" title="b3">A5</font>,<font color="Olive" title="b4">A6</font></span><a href="mcart_2.html#K10" title="MCART_2:func.10">:]</a></span> holds <br/>( <font color="Olive" title="b5">x</font> <a href="mcart_2.html#K11" title="MCART_2:func.11">`1</a>  <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a> <font color="Maroon" title="c7">A1</font> &amp; <font color="Olive" title="b5">x</font> <a href="mcart_2.html#K12" title="MCART_2:func.12">`2</a>  <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a> <font color="Maroon" title="c8">A2</font> &amp; <font color="Olive" title="b5">x</font> <a href="mcart_2.html#K13" title="MCART_2:func.13">`3</a>  <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a> <font color="Olive" title="b1">A3</font> &amp; <font color="Olive" title="b5">x</font> <a href="mcart_2.html#K14" title="MCART_2:func.14">`4</a>  <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a> <font color="Olive" title="b2">A4</font> &amp; <font color="Olive" title="b5">x</font> <a href="mcart_2.html#K15" title="MCART_2:func.15">`5</a>  <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a> <font color="Olive" title="b3">A5</font> &amp; <font color="Olive" title="b5">x</font> <a href="mcart_2.html#K16" title="MCART_2:func.16">`6</a>  <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a> <font color="Olive" title="b4">A6</font> )</span><br/><span class="kw">let </span><font color="Maroon" title="c9">A3</font> be   <a href="subset_1.html#NM2" title="SUBSET_1:NM.2">Subset</a> of <font color="Maroon" title="c3">X3</font>; <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">A4</font> being   <a href="subset_1.html#NM2" title="SUBSET_1:NM.2">Subset</a> of <font color="Maroon" title="c4">X4</font><br/>  for <font color="Olive" title="b2">A5</font> being   <a href="subset_1.html#NM2" title="SUBSET_1:NM.2">Subset</a> of <font color="Maroon" title="c5">X5</font><br/>  for <font color="Olive" title="b3">A6</font> being   <a href="subset_1.html#NM2" title="SUBSET_1:NM.2">Subset</a> of <font color="Maroon" title="c6">X6</font><br/>  for <font color="Olive" title="b4">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#K10" title="MCART_2: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></span><a href="mcart_2.html#K10" title="MCART_2:func.10">:]</a></span>  st <font color="Olive" title="b4">x</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a> <span class="p1"><a href="mcart_2.html#K10" title="MCART_2:func.10">[:</a><span class="default"><font color="Maroon" title="c7">A1</font>,<font color="Maroon" title="c8">A2</font>,<font color="Maroon" title="c9">A3</font>,<font color="Olive" title="b1">A4</font>,<font color="Olive" title="b2">A5</font>,<font color="Olive" title="b3">A6</font></span><a href="mcart_2.html#K10" title="MCART_2:func.10">:]</a></span> holds <br/>( <font color="Olive" title="b4">x</font> <a href="mcart_2.html#K11" title="MCART_2:func.11">`1</a>  <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a> <font color="Maroon" title="c7">A1</font> &amp; <font color="Olive" title="b4">x</font> <a href="mcart_2.html#K12" title="MCART_2:func.12">`2</a>  <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a> <font color="Maroon" title="c8">A2</font> &amp; <font color="Olive" title="b4">x</font> <a href="mcart_2.html#K13" title="MCART_2:func.13">`3</a>  <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a> <font color="Maroon" title="c9">A3</font> &amp; <font color="Olive" title="b4">x</font> <a href="mcart_2.html#K14" title="MCART_2:func.14">`4</a>  <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a> <font color="Olive" title="b1">A4</font> &amp; <font color="Olive" title="b4">x</font> <a href="mcart_2.html#K15" title="MCART_2:func.15">`5</a>  <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a> <font color="Olive" title="b2">A5</font> &amp; <font color="Olive" title="b4">x</font> <a href="mcart_2.html#K16" title="MCART_2:func.16">`6</a>  <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a> <font color="Olive" title="b3">A6</font> )</span><br/><span class="kw">let </span><font color="Maroon" title="c10">A4</font> be   <a href="subset_1.html#NM2" title="SUBSET_1:NM.2">Subset</a> of <font color="Maroon" title="c4">X4</font>; <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">A5</font> being   <a href="subset_1.html#NM2" title="SUBSET_1:NM.2">Subset</a> of <font color="Maroon" title="c5">X5</font><br/>  for <font color="Olive" title="b2">A6</font> being   <a href="subset_1.html#NM2" title="SUBSET_1:NM.2">Subset</a> of <font color="Maroon" title="c6">X6</font><br/>  for <font color="Olive" title="b3">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#K10" title="MCART_2: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></span><a href="mcart_2.html#K10" title="MCART_2:func.10">:]</a></span>  st <font color="Olive" title="b3">x</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a> <span class="p1"><a href="mcart_2.html#K10" title="MCART_2:func.10">[:</a><span class="default"><font color="Maroon" title="c7">A1</font>,<font color="Maroon" title="c8">A2</font>,<font color="Maroon" title="c9">A3</font>,<font color="Maroon" title="c10">A4</font>,<font color="Olive" title="b1">A5</font>,<font color="Olive" title="b2">A6</font></span><a href="mcart_2.html#K10" title="MCART_2:func.10">:]</a></span> holds <br/>( <font color="Olive" title="b3">x</font> <a href="mcart_2.html#K11" title="MCART_2:func.11">`1</a>  <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a> <font color="Maroon" title="c7">A1</font> &amp; <font color="Olive" title="b3">x</font> <a href="mcart_2.html#K12" title="MCART_2:func.12">`2</a>  <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a> <font color="Maroon" title="c8">A2</font> &amp; <font color="Olive" title="b3">x</font> <a href="mcart_2.html#K13" title="MCART_2:func.13">`3</a>  <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a> <font color="Maroon" title="c9">A3</font> &amp; <font color="Olive" title="b3">x</font> <a href="mcart_2.html#K14" title="MCART_2:func.14">`4</a>  <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a> <font color="Maroon" title="c10">A4</font> &amp; <font color="Olive" title="b3">x</font> <a href="mcart_2.html#K15" title="MCART_2:func.15">`5</a>  <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a> <font color="Olive" title="b1">A5</font> &amp; <font color="Olive" title="b3">x</font> <a href="mcart_2.html#K16" title="MCART_2:func.16">`6</a>  <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a> <font color="Olive" title="b2">A6</font> )</span><br/><span class="kw">let </span><font color="Maroon" title="c11">A5</font> be   <a href="subset_1.html#NM2" title="SUBSET_1:NM.2">Subset</a> of <font color="Maroon" title="c5">X5</font>; <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">A6</font> being   <a href="subset_1.html#NM2" title="SUBSET_1:NM.2">Subset</a> of <font color="Maroon" title="c6">X6</font><br/>  for <font color="Olive" title="b2">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#K10" title="MCART_2: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></span><a href="mcart_2.html#K10" title="MCART_2:func.10">:]</a></span>  st <font color="Olive" title="b2">x</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a> <span class="p1"><a href="mcart_2.html#K10" title="MCART_2:func.10">[:</a><span class="default"><font color="Maroon" title="c7">A1</font>,<font color="Maroon" title="c8">A2</font>,<font color="Maroon" title="c9">A3</font>,<font color="Maroon" title="c10">A4</font>,<font color="Maroon" title="c11">A5</font>,<font color="Olive" title="b1">A6</font></span><a href="mcart_2.html#K10" title="MCART_2:func.10">:]</a></span> holds <br/>( <font color="Olive" title="b2">x</font> <a href="mcart_2.html#K11" title="MCART_2:func.11">`1</a>  <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a> <font color="Maroon" title="c7">A1</font> &amp; <font color="Olive" title="b2">x</font> <a href="mcart_2.html#K12" title="MCART_2:func.12">`2</a>  <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a> <font color="Maroon" title="c8">A2</font> &amp; <font color="Olive" title="b2">x</font> <a href="mcart_2.html#K13" title="MCART_2:func.13">`3</a>  <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a> <font color="Maroon" title="c9">A3</font> &amp; <font color="Olive" title="b2">x</font> <a href="mcart_2.html#K14" title="MCART_2:func.14">`4</a>  <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a> <font color="Maroon" title="c10">A4</font> &amp; <font color="Olive" title="b2">x</font> <a href="mcart_2.html#K15" title="MCART_2:func.15">`5</a>  <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a> <font color="Maroon" title="c11">A5</font> &amp; <font color="Olive" title="b2">x</font> <a href="mcart_2.html#K16" title="MCART_2:func.16">`6</a>  <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a> <font color="Olive" title="b1">A6</font> )</span><br/><span class="kw">let </span><font color="Maroon" title="c12">A6</font> be   <a href="subset_1.html#NM2" title="SUBSET_1:NM.2">Subset</a> of <font color="Maroon" title="c6">X6</font>; <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#K10" title="MCART_2: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></span><a href="mcart_2.html#K10" title="MCART_2:func.10">:]</a></span>  st <font color="Olive" title="b1">x</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a> <span class="p1"><a href="mcart_2.html#K10" title="MCART_2:func.10">[:</a><span class="default"><font color="Maroon" title="c7">A1</font>,<font color="Maroon" title="c8">A2</font>,<font color="Maroon" title="c9">A3</font>,<font color="Maroon" title="c10">A4</font>,<font color="Maroon" title="c11">A5</font>,<font color="Maroon" title="c12">A6</font></span><a href="mcart_2.html#K10" title="MCART_2:func.10">:]</a></span> holds <br/>( <font color="Olive" title="b1">x</font> <a href="mcart_2.html#K11" title="MCART_2:func.11">`1</a>  <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a> <font color="Maroon" title="c7">A1</font> &amp; <font color="Olive" title="b1">x</font> <a href="mcart_2.html#K12" title="MCART_2:func.12">`2</a>  <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a> <font color="Maroon" title="c8">A2</font> &amp; <font color="Olive" title="b1">x</font> <a href="mcart_2.html#K13" title="MCART_2:func.13">`3</a>  <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a> <font color="Maroon" title="c9">A3</font> &amp; <font color="Olive" title="b1">x</font> <a href="mcart_2.html#K14" title="MCART_2:func.14">`4</a>  <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a> <font color="Maroon" title="c10">A4</font> &amp; <font color="Olive" title="b1">x</font> <a href="mcart_2.html#K15" title="MCART_2:func.15">`5</a>  <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a> <font color="Maroon" title="c11">A5</font> &amp; <font color="Olive" title="b1">x</font> <a href="mcart_2.html#K16" title="MCART_2:func.16">`6</a>  <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a> <font color="Maroon" title="c12">A6</font> )</span><br/><span class="kw">let </span><font color="Maroon" title="c13">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#K10" title="MCART_2: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></span><a href="mcart_2.html#K10" title="MCART_2:func.10">:]</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="c13">x</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a> <span class="p1"><a href="mcart_2.html#K10" title="MCART_2:func.10">[:</a><span class="default"><font color="Maroon" title="c7">A1</font>,<font color="Maroon" title="c8">A2</font>,<font color="Maroon" title="c9">A3</font>,<font color="Maroon" title="c10">A4</font>,<font color="Maroon" title="c11">A5</font>,<font color="Maroon" title="c12">A6</font></span><a href="mcart_2.html#K10" title="MCART_2:func.10">:]</a></span> implies ( <font color="Maroon" title="c13">x</font> <a href="mcart_2.html#K11" title="MCART_2:func.11">`1</a>  <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a> <font color="Maroon" title="c7">A1</font> &amp; <font color="Maroon" title="c13">x</font> <a href="mcart_2.html#K12" title="MCART_2:func.12">`2</a>  <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a> <font color="Maroon" title="c8">A2</font> &amp; <font color="Maroon" title="c13">x</font> <a href="mcart_2.html#K13" title="MCART_2:func.13">`3</a>  <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a> <font color="Maroon" title="c9">A3</font> &amp; <font color="Maroon" title="c13">x</font> <a href="mcart_2.html#K14" title="MCART_2:func.14">`4</a>  <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a> <font color="Maroon" title="c10">A4</font> &amp; <font color="Maroon" title="c13">x</font> <a href="mcart_2.html#K15" title="MCART_2:func.15">`5</a>  <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a> <font color="Maroon" title="c11">A5</font> &amp; <font color="Maroon" title="c13">x</font> <a href="mcart_2.html#K16" title="MCART_2:func.16">`6</a>  <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a> <font color="Maroon" title="c12">A6</font> ) )</span><br/>

























<span class="kw">assume </span><a NAME="E1:70"/><span class="lab"><font color="Green" title="E48">A1</font></span>: 
<font color="Maroon" title="c13">x</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a> <span class="p1"><a href="mcart_2.html#K10" title="MCART_2:func.10">[:</a><span class="default"><font color="Maroon" title="c7">A1</font>,<font color="Maroon" title="c8">A2</font>,<font color="Maroon" title="c9">A3</font>,<font color="Maroon" title="c10">A4</font>,<font color="Maroon" title="c11">A5</font>,<font color="Maroon" title="c12">A6</font></span><a href="mcart_2.html#K10" title="MCART_2:func.10">:]</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="c13">x</font> <a href="mcart_2.html#K11" title="MCART_2:func.11">`1</a>  <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a> <font color="Maroon" title="c7">A1</font> &amp; <font color="Maroon" title="c13">x</font> <a href="mcart_2.html#K12" title="MCART_2:func.12">`2</a>  <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a> <font color="Maroon" title="c8">A2</font> &amp; <font color="Maroon" title="c13">x</font> <a href="mcart_2.html#K13" title="MCART_2:func.13">`3</a>  <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a> <font color="Maroon" title="c9">A3</font> &amp; <font color="Maroon" title="c13">x</font> <a href="mcart_2.html#K14" title="MCART_2:func.14">`4</a>  <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a> <font color="Maroon" title="c10">A4</font> &amp; <font color="Maroon" title="c13">x</font> <a href="mcart_2.html#K15" title="MCART_2:func.15">`5</a>  <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a> <font color="Maroon" title="c11">A5</font> &amp; <font color="Maroon" title="c13">x</font> <a href="mcart_2.html#K16" title="MCART_2:func.16">`6</a>  <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a> <font color="Maroon" title="c12">A6</font> )</span><br/>

<span class="kw">then </span><span class="kw">reconsider </span><font color="Maroon" title="c14">y</font> = <font color="Maroon" title="c13">x</font> as    <a href="subset_1.html#M1" title="SUBSET_1:mode.1">Element</a> of <span class="p1"><a href="mcart_2.html#K10" title="MCART_2:func.10">[:</a><span class="default"><font color="Maroon" title="c7">A1</font>,<font color="Maroon" title="c8">A2</font>,<font color="Maroon" title="c9">A3</font>,<font color="Maroon" title="c10">A4</font>,<font color="Maroon" title="c11">A5</font>,<font color="Maroon" title="c12">A6</font></span><a href="mcart_2.html#K10" title="MCART_2:func.10">:]</a></span> ;<br/>
<a NAME="E3:70"/>
<font color="Maroon" title="c8">A2</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">by</span> <span class="lab"><a class="txt" href="#E1:70"><span class="lab"><font color="Green" title="E48">A1</font></span></a>, <a class="ref" href="mcart_2.html#T49" target="_self" title="MCART_2:th.49">Th51</a></span>;<br/>
<a NAME="E4:70"/><span class="kw">then </span><span class="lab"><font color="Green" title="E49">A2</font></span>: 
<font color="Maroon" title="c14">y</font> <a href="mcart_2.html#K12" title="MCART_2:func.12">`2</a>  <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a> <font color="Maroon" title="c8">A2</font>
 
;<br/>
<a NAME="E5:70"/>
<font color="Maroon" title="c12">A6</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">by</span> <span class="lab"><a class="txt" href="#E1:70"><span class="lab"><font color="Green" title="E48">A1</font></span></a>, <a class="ref" href="mcart_2.html#T49" target="_self" title="MCART_2:th.49">Th51</a></span>;<br/>
<a NAME="E6:70"/><span class="kw">then </span><span class="lab"><font color="Green" title="E50">A3</font></span>: 
<font color="Maroon" title="c14">y</font> <a href="mcart_2.html#K16" title="MCART_2:func.16">`6</a>  <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a> <font color="Maroon" title="c12">A6</font>
 
;<br/>
<a NAME="E7:70"/>
<font color="Maroon" title="c11">A5</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">by</span> <span class="lab"><a class="txt" href="#E1:70"><span class="lab"><font color="Green" title="E48">A1</font></span></a>, <a class="ref" href="mcart_2.html#T49" target="_self" title="MCART_2:th.49">Th51</a></span>;<br/>
<a NAME="E8:70"/><span class="kw">then </span><span class="lab"><font color="Green" title="E51">A4</font></span>: 
<font color="Maroon" title="c14">y</font> <a href="mcart_2.html#K15" title="MCART_2:func.15">`5</a>  <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a> <font color="Maroon" title="c11">A5</font>
 
;<br/>
<a NAME="E9:70"/>
<font color="Maroon" title="c10">A4</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">by</span> <span class="lab"><a class="txt" href="#E1:70"><span class="lab"><font color="Green" title="E48">A1</font></span></a>, <a class="ref" href="mcart_2.html#T49" target="_self" title="MCART_2:th.49">Th51</a></span>;<br/>
<a NAME="E10:70"/><span class="kw">then </span><span class="lab"><font color="Green" title="E52">A5</font></span>: 
<font color="Maroon" title="c14">y</font> <a href="mcart_2.html#K14" title="MCART_2:func.14">`4</a>  <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a> <font color="Maroon" title="c10">A4</font>
 
;<br/>
<a NAME="E11:70"/>
<font color="Maroon" title="c9">A3</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">by</span> <span class="lab"><a class="txt" href="#E1:70"><span class="lab"><font color="Green" title="E48">A1</font></span></a>, <a class="ref" href="mcart_2.html#T49" target="_self" title="MCART_2:th.49">Th51</a></span>;<br/>
<a NAME="E12:70"/><span class="kw">then </span><span class="lab"><font color="Green" title="E53">A6</font></span>: 
<font color="Maroon" title="c14">y</font> <a href="mcart_2.html#K13" title="MCART_2:func.13">`3</a>  <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a> <font color="Maroon" title="c9">A3</font>
 
;<br/>
<a NAME="E13:70"/>
<font color="Maroon" title="c7">A1</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">by</span> <span class="lab"><a class="txt" href="#E1:70"><span class="lab"><font color="Green" title="E48">A1</font></span></a>, <a class="ref" href="mcart_2.html#T49" target="_self" title="MCART_2:th.49">Th51</a></span>;<br/>
<a NAME="E14:70"/><span class="kw">then </span>
<font color="Maroon" title="c14">y</font> <a href="mcart_2.html#K11" title="MCART_2:func.11">`1</a>  <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a> <font color="Maroon" title="c7">A1</font>
 
;<br/>
<span class="kw">hence </span><a NAME="E15:70"/>
( <font color="Maroon" title="c13">x</font> <a href="mcart_2.html#K11" title="MCART_2:func.11">`1</a>  <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a> <font color="Maroon" title="c7">A1</font> &amp; <font color="Maroon" title="c13">x</font> <a href="mcart_2.html#K12" title="MCART_2:func.12">`2</a>  <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a> <font color="Maroon" title="c8">A2</font> &amp; <font color="Maroon" title="c13">x</font> <a href="mcart_2.html#K13" title="MCART_2:func.13">`3</a>  <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a> <font color="Maroon" title="c9">A3</font> &amp; <font color="Maroon" title="c13">x</font> <a href="mcart_2.html#K14" title="MCART_2:func.14">`4</a>  <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a> <font color="Maroon" title="c10">A4</font> &amp; <font color="Maroon" title="c13">x</font> <a href="mcart_2.html#K15" title="MCART_2:func.15">`5</a>  <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a> <font color="Maroon" title="c11">A5</font> &amp; <font color="Maroon" title="c13">x</font> <a href="mcart_2.html#K16" title="MCART_2:func.16">`6</a>  <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a> <font color="Maroon" title="c12">A6</font> )
 <span class="kw">by</span> <span class="lab"><a class="txt" href="#E4:70"><span class="lab"><font color="Green" title="E49">A2</font></span></a>, <a class="txt" href="#E12:70"><span class="lab"><font color="Green" title="E53">A6</font></span></a>, <a class="txt" href="#E10:70"><span class="lab"><font color="Green" title="E52">A5</font></span></a>, <a class="txt" href="#E8:70"><span class="lab"><font color="Green" title="E51">A4</font></span></a>, <a class="txt" href="#E6:70"><span class="lab"><font color="Green" title="E50">A3</font></span></a>, <a class="ref" href="mcart_2.html#T70" target="_self" title="MCART_2:th.70">Th72</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>
