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<span class="kw">let </span><font color="Maroon" title="c1">F</font> be   <a href="vectsp_1.html#NM5" title="VECTSP_1:NM.5">Field</a>; <a class="txt" onmouseover="tooltip.show('hs',this)" onmouseout="tooltip.hide()" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide">  for <font color="Olive" title="b1">a</font>, <font color="Olive" title="b2">b</font>, <font color="Olive" title="b3">p</font>, <font color="Olive" title="b4">q</font>, <font color="Olive" title="b5">r</font>, <font color="Olive" title="b6">s</font> being   <a href="struct_0.html#NM1" title="STRUCT_0:NM.1">Element</a> of <span class="p1">(<span class="default"><a href="parsp_1.html#K9" title="PARSP_1:func.9">MPS</a> <font color="Maroon" title="c1">F</font></span>)</span>  st <font color="Olive" title="b1">a</font>,<font color="Olive" title="b2">b</font> <a href="parsp_1.html#R1" title="PARSP_1:pred.1">'||'</a> <font color="Olive" title="b3">p</font>,<font color="Olive" title="b4">q</font> &amp; <font color="Olive" title="b1">a</font>,<font color="Olive" title="b2">b</font> <a href="parsp_1.html#R1" title="PARSP_1:pred.1">'||'</a> <font color="Olive" title="b5">r</font>,<font color="Olive" title="b6">s</font> &amp;  not <font color="Olive" title="b3">p</font>,<font color="Olive" title="b4">q</font> <a href="parsp_1.html#R1" title="PARSP_1:pred.1">'||'</a> <font color="Olive" title="b5">r</font>,<font color="Olive" title="b6">s</font> holds <br/><font color="Olive" title="b1">a</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b2">b</font></span><br/><span class="kw">let </span><font color="Maroon" title="c2">a</font>, <font color="Maroon" title="c3">b</font>, <font color="Maroon" title="c4">p</font>, <font color="Maroon" title="c5">q</font>, <font color="Maroon" title="c6">r</font>, <font color="Maroon" title="c7">s</font> be   <a href="struct_0.html#NM1" title="STRUCT_0:NM.1">Element</a> of <span class="p1">(<span class="default"><a href="parsp_1.html#K9" title="PARSP_1:func.9">MPS</a> <font color="Maroon" title="c1">F</font></span>)</span>; <a class="txt" onmouseover="tooltip.show('hs',this)" onmouseout="tooltip.hide()" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide"> ( <font color="Maroon" title="c2">a</font>,<font color="Maroon" title="c3">b</font> <a href="parsp_1.html#R1" title="PARSP_1:pred.1">'||'</a> <font color="Maroon" title="c4">p</font>,<font color="Maroon" title="c5">q</font> &amp; <font color="Maroon" title="c2">a</font>,<font color="Maroon" title="c3">b</font> <a href="parsp_1.html#R1" title="PARSP_1:pred.1">'||'</a> <font color="Maroon" title="c6">r</font>,<font color="Maroon" title="c7">s</font> &amp;  not <font color="Maroon" title="c4">p</font>,<font color="Maroon" title="c5">q</font> <a href="parsp_1.html#R1" title="PARSP_1:pred.1">'||'</a> <font color="Maroon" title="c6">r</font>,<font color="Maroon" title="c7">s</font> implies <font color="Maroon" title="c2">a</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c3">b</font> )</span><br/>













<span class="kw">defpred </span><font color="Maroon">S<sub>1</sub></font>[   <a href="subset_1.html#M1" title="SUBSET_1:mode.1">Element</a> of <font color="Maroon">H<sub>1</sub></font>(<font color="Maroon" title="c1">F</font>),   <a href="subset_1.html#M1" title="SUBSET_1:mode.1">Element</a> of <font color="Maroon">H<sub>1</sub></font>(<font color="Maroon" title="c1">F</font>),   <a href="subset_1.html#M1" title="SUBSET_1:mode.1">Element</a> of <font color="Maroon">H<sub>1</sub></font>(<font color="Maroon" title="c1">F</font>),   <a href="subset_1.html#M1" title="SUBSET_1:mode.1">Element</a> of <font color="Maroon">H<sub>1</sub></font>(<font color="Maroon" title="c1">F</font>)] <span class="kw">means </span>( <span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default">$1 <a href="mcart_1.html#K1" title="MCART_1:func.1">`1_3</a></span>)</span> <a href="algstr_0.html#K5" title="ALGSTR_0:func.5">-</a> <span class="p3">(<span class="default">$2 <a href="mcart_1.html#K1" title="MCART_1:func.1">`1_3</a></span>)</span></span>)</span> <a href="group_1.html#K8" title="GROUP_1:func.8">*</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default">$3 <a href="mcart_1.html#K2" title="MCART_1:func.2">`2_3</a></span>)</span> <a href="algstr_0.html#K5" title="ALGSTR_0:func.5">-</a> <span class="p3">(<span class="default">$4 <a href="mcart_1.html#K2" title="MCART_1:func.2">`2_3</a></span>)</span></span>)</span></span>)</span> <a href="algstr_0.html#K5" title="ALGSTR_0:func.5">-</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default">$3 <a href="mcart_1.html#K1" title="MCART_1:func.1">`1_3</a></span>)</span> <a href="algstr_0.html#K5" title="ALGSTR_0:func.5">-</a> <span class="p3">(<span class="default">$4 <a href="mcart_1.html#K1" title="MCART_1:func.1">`1_3</a></span>)</span></span>)</span> <a href="group_1.html#K8" title="GROUP_1:func.8">*</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default">$1 <a href="mcart_1.html#K2" title="MCART_1:func.2">`2_3</a></span>)</span> <a href="algstr_0.html#K5" title="ALGSTR_0:func.5">-</a> <span class="p3">(<span class="default">$2 <a href="mcart_1.html#K2" title="MCART_1:func.2">`2_3</a></span>)</span></span>)</span></span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="struct_0.html#K4" title="STRUCT_0:func.4">0.</a> <font color="Maroon" title="c1">F</font> &amp; <span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default">$1 <a href="mcart_1.html#K1" title="MCART_1:func.1">`1_3</a></span>)</span> <a href="algstr_0.html#K5" title="ALGSTR_0:func.5">-</a> <span class="p3">(<span class="default">$2 <a href="mcart_1.html#K1" title="MCART_1:func.1">`1_3</a></span>)</span></span>)</span> <a href="group_1.html#K8" title="GROUP_1:func.8">*</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default">$3 <a href="mcart_1.html#K3" title="MCART_1:func.3">`3_3</a></span>)</span> <a href="algstr_0.html#K5" title="ALGSTR_0:func.5">-</a> <span class="p3">(<span class="default">$4 <a href="mcart_1.html#K3" title="MCART_1:func.3">`3_3</a></span>)</span></span>)</span></span>)</span> <a href="algstr_0.html#K5" title="ALGSTR_0:func.5">-</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default">$3 <a href="mcart_1.html#K1" title="MCART_1:func.1">`1_3</a></span>)</span> <a href="algstr_0.html#K5" title="ALGSTR_0:func.5">-</a> <span class="p3">(<span class="default">$4 <a href="mcart_1.html#K1" title="MCART_1:func.1">`1_3</a></span>)</span></span>)</span> <a href="group_1.html#K8" title="GROUP_1:func.8">*</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default">$1 <a href="mcart_1.html#K3" title="MCART_1:func.3">`3_3</a></span>)</span> <a href="algstr_0.html#K5" title="ALGSTR_0:func.5">-</a> <span class="p3">(<span class="default">$2 <a href="mcart_1.html#K3" title="MCART_1:func.3">`3_3</a></span>)</span></span>)</span></span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="struct_0.html#K4" title="STRUCT_0:func.4">0.</a> <font color="Maroon" title="c1">F</font> &amp; <span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default">$1 <a href="mcart_1.html#K2" title="MCART_1:func.2">`2_3</a></span>)</span> <a href="algstr_0.html#K5" title="ALGSTR_0:func.5">-</a> <span class="p3">(<span class="default">$2 <a href="mcart_1.html#K2" title="MCART_1:func.2">`2_3</a></span>)</span></span>)</span> <a href="group_1.html#K8" title="GROUP_1:func.8">*</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default">$3 <a href="mcart_1.html#K3" title="MCART_1:func.3">`3_3</a></span>)</span> <a href="algstr_0.html#K5" title="ALGSTR_0:func.5">-</a> <span class="p3">(<span class="default">$4 <a href="mcart_1.html#K3" title="MCART_1:func.3">`3_3</a></span>)</span></span>)</span></span>)</span> <a href="algstr_0.html#K5" title="ALGSTR_0:func.5">-</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default">$3 <a href="mcart_1.html#K2" title="MCART_1:func.2">`2_3</a></span>)</span> <a href="algstr_0.html#K5" title="ALGSTR_0:func.5">-</a> <span class="p3">(<span class="default">$4 <a href="mcart_1.html#K2" title="MCART_1:func.2">`2_3</a></span>)</span></span>)</span> <a href="group_1.html#K8" title="GROUP_1:func.8">*</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default">$1 <a href="mcart_1.html#K3" title="MCART_1:func.3">`3_3</a></span>)</span> <a href="algstr_0.html#K5" title="ALGSTR_0:func.5">-</a> <span class="p3">(<span class="default">$2 <a href="mcart_1.html#K3" title="MCART_1:func.3">`3_3</a></span>)</span></span>)</span></span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="struct_0.html#K4" title="STRUCT_0:func.4">0.</a> <font color="Maroon" title="c1">F</font> );<br/>
<span class="kw">assume </span><span class="kw">that </span><br/><a NAME="E1:36"/><span class="lab"><font color="Green" title="E26">A1</font></span>: 
<font color="Maroon" title="c2">a</font>,<font color="Maroon" title="c3">b</font> <a href="parsp_1.html#R1" title="PARSP_1:pred.1">'||'</a> <font color="Maroon" title="c4">p</font>,<font color="Maroon" title="c5">q</font>
 <span class="kw">and </span><br/><a NAME="E2:36"/><span class="lab"><font color="Green" title="E27">A2</font></span>: 
<font color="Maroon" title="c2">a</font>,<font color="Maroon" title="c3">b</font> <a href="parsp_1.html#R1" title="PARSP_1:pred.1">'||'</a> <font color="Maroon" title="c6">r</font>,<font color="Maroon" title="c7">s</font>
 ; <a class="txt" onmouseover="tooltip.show('hs',this)" onmouseout="tooltip.hide()" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide"> ( <font color="Maroon" title="c4">p</font>,<font color="Maroon" title="c5">q</font> <a href="parsp_1.html#R1" title="PARSP_1:pred.1">'||'</a> <font color="Maroon" title="c6">r</font>,<font color="Maroon" title="c7">s</font> or <font color="Maroon" title="c2">a</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c3">b</font> )</span><br/>

<span class="kw">consider </span><font color="Maroon" title="c8">e</font>, <font color="Maroon" title="c9">f</font>, <font color="Maroon" title="c10">g</font>, <font color="Maroon" title="c11">h</font> being    <a href="subset_1.html#M1" title="SUBSET_1:mode.1">Element</a> of <span class="p1"><a href="zfmisc_1.html#K3" title="ZFMISC_1:func.3">[:</a><span class="default"> the <a href="struct_0.html#U1" title="STRUCT_0:sel.1">carrier</a> of <font color="Maroon" title="c1">F</font>, the <a href="struct_0.html#U1" title="STRUCT_0:sel.1">carrier</a> of <font color="Maroon" title="c1">F</font>, the <a href="struct_0.html#U1" title="STRUCT_0:sel.1">carrier</a> of <font color="Maroon" title="c1">F</font></span><a href="zfmisc_1.html#K3" title="ZFMISC_1:func.3">:]</a></span><span class="kw"> such that </span><br/><a NAME="E4:36"/><span class="lab"><font color="Green" title="E28">A3</font></span>: 
<span class="p1"><a href="domain_1.html#K1" title="DOMAIN_1:func.1">[</a><span class="default"><span class="p2"><a href="domain_1.html#K1" title="DOMAIN_1:func.1">[</a><span class="default"><font color="Maroon" title="c8">e</font>,<font color="Maroon" title="c9">f</font></span><a href="domain_1.html#K1" title="DOMAIN_1:func.1">]</a></span>,<span class="p2"><a href="domain_1.html#K1" title="DOMAIN_1:func.1">[</a><span class="default"><font color="Maroon" title="c10">g</font>,<font color="Maroon" title="c11">h</font></span><a href="domain_1.html#K1" title="DOMAIN_1:func.1">]</a></span></span><a href="domain_1.html#K1" title="DOMAIN_1:func.1">]</a></span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1"><a href="domain_1.html#K1" title="DOMAIN_1:func.1">[</a><span class="default"><span class="p2"><a href="domain_1.html#K1" title="DOMAIN_1:func.1">[</a><span class="default"><font color="Maroon" title="c2">a</font>,<font color="Maroon" title="c3">b</font></span><a href="domain_1.html#K1" title="DOMAIN_1:func.1">]</a></span>,<span class="p2"><a href="domain_1.html#K1" title="DOMAIN_1:func.1">[</a><span class="default"><font color="Maroon" title="c4">p</font>,<font color="Maroon" title="c5">q</font></span><a href="domain_1.html#K1" title="DOMAIN_1:func.1">]</a></span></span><a href="domain_1.html#K1" title="DOMAIN_1:func.1">]</a></span>
 <span class="kw">and </span><br/><a NAME="E5:36"/><span class="lab"><font color="Green" title="E29">A4</font></span>: 
<font color="Maroon">S<sub>1</sub></font>[<font color="Maroon" title="c8">e</font>,<font color="Maroon" title="c9">f</font>,<font color="Maroon" title="c10">g</font>,<font color="Maroon" title="c11">h</font>]
 <span class="kw">by</span> <span class="lab"><a class="txt" href="#E1:36"><span class="lab"><font color="Green" title="E26">A1</font></span></a>, <a class="ref" href="parsp_1.html#T12" target="_self" onmouseover="rs('parsp_1/T12')" onmouseout="rh()">Th12</a></span>;<br/>
<span class="kw">consider </span><font color="Maroon" title="c12">i</font>, <font color="Maroon" title="c13">j</font>, <font color="Maroon" title="c14">k</font>, <font color="Maroon" title="c15">l</font> being    <a href="subset_1.html#M1" title="SUBSET_1:mode.1">Element</a> of <span class="p1"><a href="zfmisc_1.html#K3" title="ZFMISC_1:func.3">[:</a><span class="default"> the <a href="struct_0.html#U1" title="STRUCT_0:sel.1">carrier</a> of <font color="Maroon" title="c1">F</font>, the <a href="struct_0.html#U1" title="STRUCT_0:sel.1">carrier</a> of <font color="Maroon" title="c1">F</font>, the <a href="struct_0.html#U1" title="STRUCT_0:sel.1">carrier</a> of <font color="Maroon" title="c1">F</font></span><a href="zfmisc_1.html#K3" title="ZFMISC_1:func.3">:]</a></span><span class="kw"> such that </span><br/><a NAME="E7:36"/><span class="lab"><font color="Green" title="E30">A5</font></span>: 
<span class="p1"><a href="domain_1.html#K1" title="DOMAIN_1:func.1">[</a><span class="default"><span class="p2"><a href="domain_1.html#K1" title="DOMAIN_1:func.1">[</a><span class="default"><font color="Maroon" title="c12">i</font>,<font color="Maroon" title="c13">j</font></span><a href="domain_1.html#K1" title="DOMAIN_1:func.1">]</a></span>,<span class="p2"><a href="domain_1.html#K1" title="DOMAIN_1:func.1">[</a><span class="default"><font color="Maroon" title="c14">k</font>,<font color="Maroon" title="c15">l</font></span><a href="domain_1.html#K1" title="DOMAIN_1:func.1">]</a></span></span><a href="domain_1.html#K1" title="DOMAIN_1:func.1">]</a></span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1"><a href="domain_1.html#K1" title="DOMAIN_1:func.1">[</a><span class="default"><span class="p2"><a href="domain_1.html#K1" title="DOMAIN_1:func.1">[</a><span class="default"><font color="Maroon" title="c2">a</font>,<font color="Maroon" title="c3">b</font></span><a href="domain_1.html#K1" title="DOMAIN_1:func.1">]</a></span>,<span class="p2"><a href="domain_1.html#K1" title="DOMAIN_1:func.1">[</a><span class="default"><font color="Maroon" title="c6">r</font>,<font color="Maroon" title="c7">s</font></span><a href="domain_1.html#K1" title="DOMAIN_1:func.1">]</a></span></span><a href="domain_1.html#K1" title="DOMAIN_1:func.1">]</a></span>
 <span class="kw">and </span><br/><a NAME="E8:36"/><span class="lab"><font color="Green" title="E31">A6</font></span>: 
<font color="Maroon">S<sub>1</sub></font>[<font color="Maroon" title="c12">i</font>,<font color="Maroon" title="c13">j</font>,<font color="Maroon" title="c14">k</font>,<font color="Maroon" title="c15">l</font>]
 <span class="kw">by</span> <span class="lab"><a class="txt" href="#E2:36"><span class="lab"><font color="Green" title="E27">A2</font></span></a>, <a class="ref" href="parsp_1.html#T12" target="_self" onmouseover="rs('parsp_1/T12')" onmouseout="rh()">Th12</a></span>;<br/>
<a NAME="E9:36"/><span class="lab"><font color="Green" title="E32">A7</font></span>: 
( <font color="Maroon" title="c12">i</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c2">a</font> &amp; <font color="Maroon" title="c13">j</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c3">b</font> )
 
<span class="kw">by</span> <span class="lab"><a class="txt" href="#E7:36"><span class="lab"><font color="Green" title="E30">A5</font></span></a>, <a class="ref" href="mcart_1.html#T93" onmouseover="rs('mcart_1/T93')" onmouseout="rh()">MCART_1:93</a></span>;<br/>
<a NAME="E10:36"/><span class="lab"><font color="Green" title="E33">A8</font></span>: 
( <font color="Maroon" title="c14">k</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c6">r</font> &amp; <font color="Maroon" title="c15">l</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c7">s</font> )
 
<span class="kw">by</span> <span class="lab"><a class="txt" href="#E7:36"><span class="lab"><font color="Green" title="E30">A5</font></span></a>, <a class="ref" href="mcart_1.html#T93" onmouseover="rs('mcart_1/T93')" onmouseout="rh()">MCART_1:93</a></span>;<br/>
<span class="kw">set </span><font color="Maroon" title="c16">A</font> = <span class="p1">(<span class="default"><font color="Maroon" title="c8">e</font> <a href="mcart_1.html#K1" title="MCART_1:func.1">`1_3</a></span>)</span> <a href="algstr_0.html#K5" title="ALGSTR_0:func.5">-</a> <span class="p1">(<span class="default"><font color="Maroon" title="c9">f</font> <a href="mcart_1.html#K1" title="MCART_1:func.1">`1_3</a></span>)</span>;<br/>
<span class="kw">set </span><font color="Maroon" title="c17">B</font> = <span class="p1">(<span class="default"><font color="Maroon" title="c8">e</font> <a href="mcart_1.html#K2" title="MCART_1:func.2">`2_3</a></span>)</span> <a href="algstr_0.html#K5" title="ALGSTR_0:func.5">-</a> <span class="p1">(<span class="default"><font color="Maroon" title="c9">f</font> <a href="mcart_1.html#K2" title="MCART_1:func.2">`2_3</a></span>)</span>;<br/>
<span class="kw">set </span><font color="Maroon" title="c18">C</font> = <span class="p1">(<span class="default"><font color="Maroon" title="c8">e</font> <a href="mcart_1.html#K3" title="MCART_1:func.3">`3_3</a></span>)</span> <a href="algstr_0.html#K5" title="ALGSTR_0:func.5">-</a> <span class="p1">(<span class="default"><font color="Maroon" title="c9">f</font> <a href="mcart_1.html#K3" title="MCART_1:func.3">`3_3</a></span>)</span>;<br/>
<span class="kw">set </span><font color="Maroon" title="c19">D</font> = <span class="p1">(<span class="default"><font color="Maroon" title="c10">g</font> <a href="mcart_1.html#K1" title="MCART_1:func.1">`1_3</a></span>)</span> <a href="algstr_0.html#K5" title="ALGSTR_0:func.5">-</a> <span class="p1">(<span class="default"><font color="Maroon" title="c11">h</font> <a href="mcart_1.html#K1" title="MCART_1:func.1">`1_3</a></span>)</span>;<br/>
<span class="kw">set </span><font color="Maroon" title="c20">E</font> = <span class="p1">(<span class="default"><font color="Maroon" title="c10">g</font> <a href="mcart_1.html#K2" title="MCART_1:func.2">`2_3</a></span>)</span> <a href="algstr_0.html#K5" title="ALGSTR_0:func.5">-</a> <span class="p1">(<span class="default"><font color="Maroon" title="c11">h</font> <a href="mcart_1.html#K2" title="MCART_1:func.2">`2_3</a></span>)</span>;<br/>
<span class="kw">set </span><font color="Maroon" title="c21">K</font> = <span class="p1">(<span class="default"><font color="Maroon" title="c10">g</font> <a href="mcart_1.html#K3" title="MCART_1:func.3">`3_3</a></span>)</span> <a href="algstr_0.html#K5" title="ALGSTR_0:func.5">-</a> <span class="p1">(<span class="default"><font color="Maroon" title="c11">h</font> <a href="mcart_1.html#K3" title="MCART_1:func.3">`3_3</a></span>)</span>;<br/>
<span class="kw">set </span><font color="Maroon" title="c22">G</font> = <span class="p1">(<span class="default"><font color="Maroon" title="c14">k</font> <a href="mcart_1.html#K1" title="MCART_1:func.1">`1_3</a></span>)</span> <a href="algstr_0.html#K5" title="ALGSTR_0:func.5">-</a> <span class="p1">(<span class="default"><font color="Maroon" title="c15">l</font> <a href="mcart_1.html#K1" title="MCART_1:func.1">`1_3</a></span>)</span>;<br/>
<span class="kw">set </span><font color="Maroon" title="c23">H</font> = <span class="p1">(<span class="default"><font color="Maroon" title="c14">k</font> <a href="mcart_1.html#K2" title="MCART_1:func.2">`2_3</a></span>)</span> <a href="algstr_0.html#K5" title="ALGSTR_0:func.5">-</a> <span class="p1">(<span class="default"><font color="Maroon" title="c15">l</font> <a href="mcart_1.html#K2" title="MCART_1:func.2">`2_3</a></span>)</span>;<br/>
<span class="kw">set </span><font color="Maroon" title="c24">I</font> = <span class="p1">(<span class="default"><font color="Maroon" title="c14">k</font> <a href="mcart_1.html#K3" title="MCART_1:func.3">`3_3</a></span>)</span> <a href="algstr_0.html#K5" title="ALGSTR_0:func.5">-</a> <span class="p1">(<span class="default"><font color="Maroon" title="c15">l</font> <a href="mcart_1.html#K3" title="MCART_1:func.3">`3_3</a></span>)</span>;<br/>
<a NAME="E11:36"/><span class="lab"><font color="Green" title="E34">A9</font></span>: 
( <font color="Maroon" title="c8">e</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c2">a</font> &amp; <font color="Maroon" title="c9">f</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c3">b</font> )
 
<span class="kw">by</span> <span class="lab"><a class="txt" href="#E4:36"><span class="lab"><font color="Green" title="E28">A3</font></span></a>, <a class="ref" href="mcart_1.html#T93" onmouseover="rs('mcart_1/T93')" onmouseout="rh()">MCART_1:93</a></span>;<br/>
<a NAME="E12:36"/><span class="lab"><font color="Green" title="E35">A10</font></span>: 
( <font color="Maroon" title="c10">g</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c4">p</font> &amp; <font color="Maroon" title="c11">h</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c5">q</font> )
 
<span class="kw">by</span> <span class="lab"><a class="txt" href="#E4:36"><span class="lab"><font color="Green" title="E28">A3</font></span></a>, <a class="ref" href="mcart_1.html#T93" onmouseover="rs('mcart_1/T93')" onmouseout="rh()">MCART_1:93</a></span>;<br/>
<div><a class="txt" onmouseover="tooltip.show('hs2',this)" onmouseout="tooltip.hide()" onclick="hs2(this)" href="javascript:()" title="36_1"><span class="kw">now </span> <a class="txt" onmouseover="tooltip.show('hs',this)" onmouseout="tooltip.hide()" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide"> ( <font color="Maroon" title="c2">a</font> <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a> <font color="Maroon" title="c3">b</font> implies  ex <font color="Olive" title="b1">g</font>, <font color="Olive" title="b2">h</font>, <font color="Olive" title="b3">k</font>, <font color="Olive" title="b4">l</font> being    <a href="subset_1.html#M1" title="SUBSET_1:mode.1">Element</a> of <span class="p1"><a href="zfmisc_1.html#K3" title="ZFMISC_1:func.3">[:</a><span class="default"> the <a href="struct_0.html#U1" title="STRUCT_0:sel.1">carrier</a> of <font color="Maroon" title="c1">F</font>, the <a href="struct_0.html#U1" title="STRUCT_0:sel.1">carrier</a> of <font color="Maroon" title="c1">F</font>, the <a href="struct_0.html#U1" title="STRUCT_0:sel.1">carrier</a> of <font color="Maroon" title="c1">F</font></span><a href="zfmisc_1.html#K3" title="ZFMISC_1:func.3">:]</a></span> st <br/>( <span class="p1"><a href="domain_1.html#K1" title="DOMAIN_1:func.1">[</a><span class="default"><span class="p2"><a href="domain_1.html#K1" title="DOMAIN_1:func.1">[</a><span class="default"><font color="Olive" title="b1">g</font>,<font color="Olive" title="b2">h</font></span><a href="domain_1.html#K1" title="DOMAIN_1:func.1">]</a></span>,<span class="p2"><a href="domain_1.html#K1" title="DOMAIN_1:func.1">[</a><span class="default"><font color="Olive" title="b3">k</font>,<font color="Olive" title="b4">l</font></span><a href="domain_1.html#K1" title="DOMAIN_1:func.1">]</a></span></span><a href="domain_1.html#K1" title="DOMAIN_1:func.1">]</a></span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1"><a href="domain_1.html#K1" title="DOMAIN_1:func.1">[</a><span class="default"><span class="p2"><a href="domain_1.html#K1" title="DOMAIN_1:func.1">[</a><span class="default"><font color="Maroon" title="c4">p</font>,<font color="Maroon" title="c5">q</font></span><a href="domain_1.html#K1" title="DOMAIN_1:func.1">]</a></span>,<span class="p2"><a href="domain_1.html#K1" title="DOMAIN_1:func.1">[</a><span class="default"><font color="Maroon" title="c6">r</font>,<font color="Maroon" title="c7">s</font></span><a href="domain_1.html#K1" title="DOMAIN_1:func.1">]</a></span></span><a href="domain_1.html#K1" title="DOMAIN_1:func.1">]</a></span> &amp; <font color="Maroon">S<sub>1</sub></font>[<font color="Olive" title="b1">g</font>,<font color="Olive" title="b2">h</font>,<font color="Olive" title="b3">k</font>,<font color="Olive" title="b4">l</font>] ) )</span></a><div class="add"><span class="kw">assume </span><a NAME="E1:36_1"/><span class="lab"><font color="Green" title="E36">A11</font></span>: 
<font color="Maroon" title="c2">a</font> <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a> <font color="Maroon" title="c3">b</font>
 ; <a class="txt" onmouseover="tooltip.show('hs',this)" onmouseout="tooltip.hide()" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide">  ex <font color="Olive" title="b1">g</font>, <font color="Olive" title="b2">h</font>, <font color="Olive" title="b3">k</font>, <font color="Olive" title="b4">l</font> being    <a href="subset_1.html#M1" title="SUBSET_1:mode.1">Element</a> of <span class="p1"><a href="zfmisc_1.html#K3" title="ZFMISC_1:func.3">[:</a><span class="default"> the <a href="struct_0.html#U1" title="STRUCT_0:sel.1">carrier</a> of <font color="Maroon" title="c1">F</font>, the <a href="struct_0.html#U1" title="STRUCT_0:sel.1">carrier</a> of <font color="Maroon" title="c1">F</font>, the <a href="struct_0.html#U1" title="STRUCT_0:sel.1">carrier</a> of <font color="Maroon" title="c1">F</font></span><a href="zfmisc_1.html#K3" title="ZFMISC_1:func.3">:]</a></span> st <br/>( <span class="p1"><a href="domain_1.html#K1" title="DOMAIN_1:func.1">[</a><span class="default"><span class="p2"><a href="domain_1.html#K1" title="DOMAIN_1:func.1">[</a><span class="default"><font color="Olive" title="b1">g</font>,<font color="Olive" title="b2">h</font></span><a href="domain_1.html#K1" title="DOMAIN_1:func.1">]</a></span>,<span class="p2"><a href="domain_1.html#K1" title="DOMAIN_1:func.1">[</a><span class="default"><font color="Olive" title="b3">k</font>,<font color="Olive" title="b4">l</font></span><a href="domain_1.html#K1" title="DOMAIN_1:func.1">]</a></span></span><a href="domain_1.html#K1" title="DOMAIN_1:func.1">]</a></span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1"><a href="domain_1.html#K1" title="DOMAIN_1:func.1">[</a><span class="default"><span class="p2"><a href="domain_1.html#K1" title="DOMAIN_1:func.1">[</a><span class="default"><font color="Maroon" title="c4">p</font>,<font color="Maroon" title="c5">q</font></span><a href="domain_1.html#K1" title="DOMAIN_1:func.1">]</a></span>,<span class="p2"><a href="domain_1.html#K1" title="DOMAIN_1:func.1">[</a><span class="default"><font color="Maroon" title="c6">r</font>,<font color="Maroon" title="c7">s</font></span><a href="domain_1.html#K1" title="DOMAIN_1:func.1">]</a></span></span><a href="domain_1.html#K1" title="DOMAIN_1:func.1">]</a></span> &amp; <font color="Maroon">S<sub>1</sub></font>[<font color="Olive" title="b1">g</font>,<font color="Olive" title="b2">h</font>,<font color="Olive" title="b3">k</font>,<font color="Olive" title="b4">l</font>] )</span><br/><div><a class="txt" onmouseover="tooltip.show('hs2',this)" onmouseout="tooltip.hide()" onclick="hs2(this)" href="javascript:()" title="36_1_1"><span class="kw">now </span> <a class="txt" onmouseover="tooltip.show('hs',this)" onmouseout="tooltip.hide()" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide"> ( ( <span class="p1">(<span class="default"><font color="Maroon" title="c8">e</font> <a href="mcart_1.html#K1" title="MCART_1:func.1">`1_3</a></span>)</span> <a href="algstr_0.html#K5" title="ALGSTR_0:func.5">-</a> <span class="p1">(<span class="default"><font color="Maroon" title="c9">f</font> <a href="mcart_1.html#K1" title="MCART_1:func.1">`1_3</a></span>)</span> <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a>  <a href="struct_0.html#K4" title="STRUCT_0:func.4">0.</a> <font color="Maroon" title="c1">F</font> &amp; <span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><font color="Maroon" title="c10">g</font> <a href="mcart_1.html#K1" title="MCART_1:func.1">`1_3</a></span>)</span> <a href="algstr_0.html#K5" title="ALGSTR_0:func.5">-</a> <span class="p3">(<span class="default"><font color="Maroon" title="c11">h</font> <a href="mcart_1.html#K1" title="MCART_1:func.1">`1_3</a></span>)</span></span>)</span> <a href="group_1.html#K8" title="GROUP_1:func.8">*</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><font color="Maroon" title="c14">k</font> <a href="mcart_1.html#K2" title="MCART_1:func.2">`2_3</a></span>)</span> <a href="algstr_0.html#K5" title="ALGSTR_0:func.5">-</a> <span class="p3">(<span class="default"><font color="Maroon" title="c15">l</font> <a href="mcart_1.html#K2" title="MCART_1:func.2">`2_3</a></span>)</span></span>)</span></span>)</span> <a href="algstr_0.html#K5" title="ALGSTR_0:func.5">-</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><font color="Maroon" title="c14">k</font> <a href="mcart_1.html#K1" title="MCART_1:func.1">`1_3</a></span>)</span> <a href="algstr_0.html#K5" title="ALGSTR_0:func.5">-</a> <span class="p3">(<span class="default"><font color="Maroon" title="c15">l</font> <a href="mcart_1.html#K1" title="MCART_1:func.1">`1_3</a></span>)</span></span>)</span> <a href="group_1.html#K8" title="GROUP_1:func.8">*</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><font color="Maroon" title="c10">g</font> <a href="mcart_1.html#K2" title="MCART_1:func.2">`2_3</a></span>)</span> <a href="algstr_0.html#K5" title="ALGSTR_0:func.5">-</a> <span class="p3">(<span class="default"><font color="Maroon" title="c11">h</font> <a href="mcart_1.html#K2" title="MCART_1:func.2">`2_3</a></span>)</span></span>)</span></span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="struct_0.html#K4" title="STRUCT_0:func.4">0.</a> <font color="Maroon" title="c1">F</font> &amp; <span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><font color="Maroon" title="c10">g</font> <a href="mcart_1.html#K1" title="MCART_1:func.1">`1_3</a></span>)</span> <a href="algstr_0.html#K5" title="ALGSTR_0:func.5">-</a> <span class="p3">(<span class="default"><font color="Maroon" title="c11">h</font> <a href="mcart_1.html#K1" title="MCART_1:func.1">`1_3</a></span>)</span></span>)</span> <a href="group_1.html#K8" title="GROUP_1:func.8">*</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><font color="Maroon" title="c14">k</font> <a href="mcart_1.html#K3" title="MCART_1:func.3">`3_3</a></span>)</span> <a href="algstr_0.html#K5" title="ALGSTR_0:func.5">-</a> <span class="p3">(<span class="default"><font color="Maroon" title="c15">l</font> <a href="mcart_1.html#K3" title="MCART_1:func.3">`3_3</a></span>)</span></span>)</span></span>)</span> <a href="algstr_0.html#K5" title="ALGSTR_0:func.5">-</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><font color="Maroon" title="c14">k</font> <a href="mcart_1.html#K1" title="MCART_1:func.1">`1_3</a></span>)</span> <a href="algstr_0.html#K5" title="ALGSTR_0:func.5">-</a> <span class="p3">(<span class="default"><font color="Maroon" title="c15">l</font> <a href="mcart_1.html#K1" title="MCART_1:func.1">`1_3</a></span>)</span></span>)</span> <a href="group_1.html#K8" title="GROUP_1:func.8">*</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><font color="Maroon" title="c10">g</font> <a href="mcart_1.html#K3" title="MCART_1:func.3">`3_3</a></span>)</span> <a href="algstr_0.html#K5" title="ALGSTR_0:func.5">-</a> <span class="p3">(<span class="default"><font color="Maroon" title="c11">h</font> <a href="mcart_1.html#K3" title="MCART_1:func.3">`3_3</a></span>)</span></span>)</span></span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="struct_0.html#K4" title="STRUCT_0:func.4">0.</a> <font color="Maroon" title="c1">F</font> &amp; <span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><font color="Maroon" title="c10">g</font> <a href="mcart_1.html#K2" title="MCART_1:func.2">`2_3</a></span>)</span> <a href="algstr_0.html#K5" title="ALGSTR_0:func.5">-</a> <span class="p3">(<span class="default"><font color="Maroon" title="c11">h</font> <a href="mcart_1.html#K2" title="MCART_1:func.2">`2_3</a></span>)</span></span>)</span> <a href="group_1.html#K8" title="GROUP_1:func.8">*</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><font color="Maroon" title="c14">k</font> <a href="mcart_1.html#K3" title="MCART_1:func.3">`3_3</a></span>)</span> <a href="algstr_0.html#K5" title="ALGSTR_0:func.5">-</a> <span class="p3">(<span class="default"><font color="Maroon" title="c15">l</font> <a href="mcart_1.html#K3" title="MCART_1:func.3">`3_3</a></span>)</span></span>)</span></span>)</span> <a href="algstr_0.html#K5" title="ALGSTR_0:func.5">-</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><font color="Maroon" title="c14">k</font> <a href="mcart_1.html#K2" title="MCART_1:func.2">`2_3</a></span>)</span> <a href="algstr_0.html#K5" title="ALGSTR_0:func.5">-</a> <span class="p3">(<span class="default"><font color="Maroon" title="c15">l</font> <a href="mcart_1.html#K2" title="MCART_1:func.2">`2_3</a></span>)</span></span>)</span> <a href="group_1.html#K8" title="GROUP_1:func.8">*</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><font color="Maroon" title="c10">g</font> <a href="mcart_1.html#K3" title="MCART_1:func.3">`3_3</a></span>)</span> <a href="algstr_0.html#K5" title="ALGSTR_0:func.5">-</a> <span class="p3">(<span class="default"><font color="Maroon" title="c11">h</font> <a href="mcart_1.html#K3" title="MCART_1:func.3">`3_3</a></span>)</span></span>)</span></span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="struct_0.html#K4" title="STRUCT_0:func.4">0.</a> <font color="Maroon" title="c1">F</font> ) or ( <span class="p1">(<span class="default"><font color="Maroon" title="c8">e</font> <a href="mcart_1.html#K2" title="MCART_1:func.2">`2_3</a></span>)</span> <a href="algstr_0.html#K5" title="ALGSTR_0:func.5">-</a> <span class="p1">(<span class="default"><font color="Maroon" title="c9">f</font> <a href="mcart_1.html#K2" title="MCART_1:func.2">`2_3</a></span>)</span> <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a>  <a href="struct_0.html#K4" title="STRUCT_0:func.4">0.</a> <font color="Maroon" title="c1">F</font> &amp; <span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><font color="Maroon" title="c10">g</font> <a href="mcart_1.html#K1" title="MCART_1:func.1">`1_3</a></span>)</span> <a href="algstr_0.html#K5" title="ALGSTR_0:func.5">-</a> <span class="p3">(<span class="default"><font color="Maroon" title="c11">h</font> <a href="mcart_1.html#K1" title="MCART_1:func.1">`1_3</a></span>)</span></span>)</span> <a href="group_1.html#K8" title="GROUP_1:func.8">*</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><font color="Maroon" title="c14">k</font> <a href="mcart_1.html#K2" title="MCART_1:func.2">`2_3</a></span>)</span> <a href="algstr_0.html#K5" title="ALGSTR_0:func.5">-</a> <span class="p3">(<span class="default"><font color="Maroon" title="c15">l</font> <a href="mcart_1.html#K2" title="MCART_1:func.2">`2_3</a></span>)</span></span>)</span></span>)</span> <a href="algstr_0.html#K5" title="ALGSTR_0:func.5">-</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><font color="Maroon" title="c14">k</font> <a href="mcart_1.html#K1" title="MCART_1:func.1">`1_3</a></span>)</span> <a href="algstr_0.html#K5" title="ALGSTR_0:func.5">-</a> <span class="p3">(<span class="default"><font color="Maroon" title="c15">l</font> <a href="mcart_1.html#K1" title="MCART_1:func.1">`1_3</a></span>)</span></span>)</span> <a href="group_1.html#K8" title="GROUP_1:func.8">*</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><font color="Maroon" title="c10">g</font> <a href="mcart_1.html#K2" title="MCART_1:func.2">`2_3</a></span>)</span> <a href="algstr_0.html#K5" title="ALGSTR_0:func.5">-</a> <span class="p3">(<span class="default"><font color="Maroon" title="c11">h</font> <a href="mcart_1.html#K2" title="MCART_1:func.2">`2_3</a></span>)</span></span>)</span></span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="struct_0.html#K4" title="STRUCT_0:func.4">0.</a> <font color="Maroon" title="c1">F</font> &amp; <span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><font color="Maroon" title="c10">g</font> <a href="mcart_1.html#K2" title="MCART_1:func.2">`2_3</a></span>)</span> <a href="algstr_0.html#K5" title="ALGSTR_0:func.5">-</a> <span class="p3">(<span class="default"><font color="Maroon" title="c11">h</font> <a href="mcart_1.html#K2" title="MCART_1:func.2">`2_3</a></span>)</span></span>)</span> <a href="group_1.html#K8" title="GROUP_1:func.8">*</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><font color="Maroon" title="c14">k</font> <a href="mcart_1.html#K3" title="MCART_1:func.3">`3_3</a></span>)</span> <a href="algstr_0.html#K5" title="ALGSTR_0:func.5">-</a> <span class="p3">(<span class="default"><font color="Maroon" title="c15">l</font> <a href="mcart_1.html#K3" title="MCART_1:func.3">`3_3</a></span>)</span></span>)</span></span>)</span> <a href="algstr_0.html#K5" title="ALGSTR_0:func.5">-</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><font color="Maroon" title="c14">k</font> <a href="mcart_1.html#K2" title="MCART_1:func.2">`2_3</a></span>)</span> <a href="algstr_0.html#K5" title="ALGSTR_0:func.5">-</a> <span class="p3">(<span class="default"><font color="Maroon" title="c15">l</font> <a href="mcart_1.html#K2" title="MCART_1:func.2">`2_3</a></span>)</span></span>)</span> <a href="group_1.html#K8" title="GROUP_1:func.8">*</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><font color="Maroon" title="c10">g</font> <a href="mcart_1.html#K3" title="MCART_1:func.3">`3_3</a></span>)</span> <a href="algstr_0.html#K5" title="ALGSTR_0:func.5">-</a> <span class="p3">(<span class="default"><font color="Maroon" title="c11">h</font> <a href="mcart_1.html#K3" title="MCART_1:func.3">`3_3</a></span>)</span></span>)</span></span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="struct_0.html#K4" title="STRUCT_0:func.4">0.</a> <font color="Maroon" title="c1">F</font> &amp; <span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><font color="Maroon" title="c10">g</font> <a href="mcart_1.html#K1" title="MCART_1:func.1">`1_3</a></span>)</span> <a href="algstr_0.html#K5" title="ALGSTR_0:func.5">-</a> <span class="p3">(<span class="default"><font color="Maroon" title="c11">h</font> <a href="mcart_1.html#K1" title="MCART_1:func.1">`1_3</a></span>)</span></span>)</span> <a href="group_1.html#K8" title="GROUP_1:func.8">*</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><font color="Maroon" title="c14">k</font> <a href="mcart_1.html#K3" title="MCART_1:func.3">`3_3</a></span>)</span> <a href="algstr_0.html#K5" title="ALGSTR_0:func.5">-</a> <span class="p3">(<span class="default"><font color="Maroon" title="c15">l</font> <a href="mcart_1.html#K3" title="MCART_1:func.3">`3_3</a></span>)</span></span>)</span></span>)</span> <a href="algstr_0.html#K5" title="ALGSTR_0:func.5">-</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><font color="Maroon" title="c14">k</font> <a href="mcart_1.html#K1" title="MCART_1:func.1">`1_3</a></span>)</span> <a href="algstr_0.html#K5" title="ALGSTR_0:func.5">-</a> <span class="p3">(<span class="default"><font color="Maroon" title="c15">l</font> <a href="mcart_1.html#K1" title="MCART_1:func.1">`1_3</a></span>)</span></span>)</span> <a href="group_1.html#K8" title="GROUP_1:func.8">*</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><font color="Maroon" title="c10">g</font> <a href="mcart_1.html#K3" title="MCART_1:func.3">`3_3</a></span>)</span> <a href="algstr_0.html#K5" title="ALGSTR_0:func.5">-</a> <span class="p3">(<span class="default"><font color="Maroon" title="c11">h</font> <a href="mcart_1.html#K3" title="MCART_1:func.3">`3_3</a></span>)</span></span>)</span></span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="struct_0.html#K4" title="STRUCT_0:func.4">0.</a> <font color="Maroon" title="c1">F</font> ) or ( <span class="p1">(<span class="default"><font color="Maroon" title="c8">e</font> <a href="mcart_1.html#K3" title="MCART_1:func.3">`3_3</a></span>)</span> <a href="algstr_0.html#K5" title="ALGSTR_0:func.5">-</a> <span class="p1">(<span class="default"><font color="Maroon" title="c9">f</font> <a href="mcart_1.html#K3" title="MCART_1:func.3">`3_3</a></span>)</span> <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a>  <a href="struct_0.html#K4" title="STRUCT_0:func.4">0.</a> <font color="Maroon" title="c1">F</font> &amp; <span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><font color="Maroon" title="c10">g</font> <a href="mcart_1.html#K2" title="MCART_1:func.2">`2_3</a></span>)</span> <a href="algstr_0.html#K5" title="ALGSTR_0:func.5">-</a> <span class="p3">(<span class="default"><font color="Maroon" title="c11">h</font> <a href="mcart_1.html#K2" title="MCART_1:func.2">`2_3</a></span>)</span></span>)</span> <a href="group_1.html#K8" title="GROUP_1:func.8">*</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><font color="Maroon" title="c14">k</font> <a href="mcart_1.html#K3" title="MCART_1:func.3">`3_3</a></span>)</span> <a href="algstr_0.html#K5" title="ALGSTR_0:func.5">-</a> <span class="p3">(<span class="default"><font color="Maroon" title="c15">l</font> <a href="mcart_1.html#K3" title="MCART_1:func.3">`3_3</a></span>)</span></span>)</span></span>)</span> <a href="algstr_0.html#K5" title="ALGSTR_0:func.5">-</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><font color="Maroon" title="c14">k</font> <a href="mcart_1.html#K2" title="MCART_1:func.2">`2_3</a></span>)</span> <a href="algstr_0.html#K5" title="ALGSTR_0:func.5">-</a> <span class="p3">(<span class="default"><font color="Maroon" title="c15">l</font> <a href="mcart_1.html#K2" title="MCART_1:func.2">`2_3</a></span>)</span></span>)</span> <a href="group_1.html#K8" title="GROUP_1:func.8">*</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><font color="Maroon" title="c10">g</font> <a href="mcart_1.html#K3" title="MCART_1:func.3">`3_3</a></span>)</span> <a href="algstr_0.html#K5" title="ALGSTR_0:func.5">-</a> <span class="p3">(<span class="default"><font color="Maroon" title="c11">h</font> <a href="mcart_1.html#K3" title="MCART_1:func.3">`3_3</a></span>)</span></span>)</span></span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="struct_0.html#K4" title="STRUCT_0:func.4">0.</a> <font color="Maroon" title="c1">F</font> &amp; <span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><font color="Maroon" title="c10">g</font> <a href="mcart_1.html#K1" title="MCART_1:func.1">`1_3</a></span>)</span> <a href="algstr_0.html#K5" title="ALGSTR_0:func.5">-</a> <span class="p3">(<span class="default"><font color="Maroon" title="c11">h</font> <a href="mcart_1.html#K1" title="MCART_1:func.1">`1_3</a></span>)</span></span>)</span> <a href="group_1.html#K8" title="GROUP_1:func.8">*</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><font color="Maroon" title="c14">k</font> <a href="mcart_1.html#K2" title="MCART_1:func.2">`2_3</a></span>)</span> <a href="algstr_0.html#K5" title="ALGSTR_0:func.5">-</a> <span class="p3">(<span class="default"><font color="Maroon" title="c15">l</font> <a href="mcart_1.html#K2" title="MCART_1:func.2">`2_3</a></span>)</span></span>)</span></span>)</span> <a href="algstr_0.html#K5" title="ALGSTR_0:func.5">-</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><font color="Maroon" title="c14">k</font> <a href="mcart_1.html#K1" title="MCART_1:func.1">`1_3</a></span>)</span> <a href="algstr_0.html#K5" title="ALGSTR_0:func.5">-</a> <span class="p3">(<span class="default"><font color="Maroon" title="c15">l</font> <a href="mcart_1.html#K1" title="MCART_1:func.1">`1_3</a></span>)</span></span>)</span> <a href="group_1.html#K8" title="GROUP_1:func.8">*</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><font color="Maroon" title="c10">g</font> <a href="mcart_1.html#K2" title="MCART_1:func.2">`2_3</a></span>)</span> <a href="algstr_0.html#K5" title="ALGSTR_0:func.5">-</a> <span class="p3">(<span class="default"><font color="Maroon" title="c11">h</font> <a href="mcart_1.html#K2" title="MCART_1:func.2">`2_3</a></span>)</span></span>)</span></span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="struct_0.html#K4" title="STRUCT_0:func.4">0.</a> <font color="Maroon" title="c1">F</font> &amp; <span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><font color="Maroon" title="c10">g</font> <a href="mcart_1.html#K1" title="MCART_1:func.1">`1_3</a></span>)</span> <a href="algstr_0.html#K5" title="ALGSTR_0:func.5">-</a> <span class="p3">(<span class="default"><font color="Maroon" title="c11">h</font> <a href="mcart_1.html#K1" title="MCART_1:func.1">`1_3</a></span>)</span></span>)</span> <a href="group_1.html#K8" title="GROUP_1:func.8">*</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><font color="Maroon" title="c14">k</font> <a href="mcart_1.html#K3" title="MCART_1:func.3">`3_3</a></span>)</span> <a href="algstr_0.html#K5" title="ALGSTR_0:func.5">-</a> <span class="p3">(<span class="default"><font color="Maroon" title="c15">l</font> <a href="mcart_1.html#K3" title="MCART_1:func.3">`3_3</a></span>)</span></span>)</span></span>)</span> <a href="algstr_0.html#K5" title="ALGSTR_0:func.5">-</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><font color="Maroon" title="c14">k</font> <a href="mcart_1.html#K1" title="MCART_1:func.1">`1_3</a></span>)</span> <a href="algstr_0.html#K5" title="ALGSTR_0:func.5">-</a> <span class="p3">(<span class="default"><font color="Maroon" title="c15">l</font> <a href="mcart_1.html#K1" title="MCART_1:func.1">`1_3</a></span>)</span></span>)</span> <a href="group_1.html#K8" title="GROUP_1:func.8">*</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><font color="Maroon" title="c10">g</font> <a href="mcart_1.html#K3" title="MCART_1:func.3">`3_3</a></span>)</span> <a href="algstr_0.html#K5" title="ALGSTR_0:func.5">-</a> <span class="p3">(<span class="default"><font color="Maroon" title="c11">h</font> <a href="mcart_1.html#K3" title="MCART_1:func.3">`3_3</a></span>)</span></span>)</span></span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="struct_0.html#K4" title="STRUCT_0:func.4">0.</a> <font color="Maroon" title="c1">F</font> ) )</span></a><div class="add"><a NAME="E1:36_1_1"/><span class="lab"><font color="Green" title="E37">AA</font></span>: 
 for <font color="Olive" title="b1">X1</font>, <font color="Olive" title="b2">X2</font>, <font color="Olive" title="b3">X3</font> being   non  <a href="xboole_0.html#V1" title="XBOOLE_0:attr.1">empty</a>   <a href="hidden.html#M2" title="HIDDEN:mode.2">set</a> <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="zfmisc_1.html#K3" title="ZFMISC_1:func.3">[:</a><span class="default"><font color="Olive" title="b1">X1</font>,<font color="Olive" title="b2">X2</font>,<font color="Olive" title="b3">X3</font></span><a href="zfmisc_1.html#K3" title="ZFMISC_1:func.3">:]</a></span> holds  <font color="Olive" title="b4">x</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1"><a href="domain_1.html#K4" title="DOMAIN_1:func.4">[</a><span class="default"><span class="p2">(<span class="default"><font color="Olive" title="b4">x</font> <a href="mcart_1.html#K1" title="MCART_1:func.1">`1_3</a></span>)</span>,<span class="p2">(<span class="default"><font color="Olive" title="b4">x</font> <a href="mcart_1.html#K2" title="MCART_1:func.2">`2_3</a></span>)</span>,<span class="p2">(<span class="default"><font color="Olive" title="b4">x</font> <a href="mcart_1.html#K3" title="MCART_1:func.3">`3_3</a></span>)</span></span><a href="domain_1.html#K4" title="DOMAIN_1:func.4">]</a></span>
 ;<br/><a NAME="E2:36_1_1"/>
<font color="Maroon" title="c8">e</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1"><a href="domain_1.html#K4" title="DOMAIN_1:func.4">[</a><span class="default"><span class="p2">(<span class="default"><font color="Maroon" title="c8">e</font> <a href="mcart_1.html#K1" title="MCART_1:func.1">`1_3</a></span>)</span>,<span class="p2">(<span class="default"><font color="Maroon" title="c8">e</font> <a href="mcart_1.html#K2" title="MCART_1:func.2">`2_3</a></span>)</span>,<span class="p2">(<span class="default"><font color="Maroon" title="c8">e</font> <a href="mcart_1.html#K3" title="MCART_1:func.3">`3_3</a></span>)</span></span><a href="domain_1.html#K4" title="DOMAIN_1:func.4">]</a></span>
 ;<br/><a NAME="E3:36_1_1"/><span class="kw">then </span><span class="lab"><font color="Green" title="E38">A12</font></span>: 
( <font color="Maroon" title="c8">e</font> <a href="mcart_1.html#K1" title="MCART_1:func.1">`1_3</a>  <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a> <font color="Maroon" title="c9">f</font> <a href="mcart_1.html#K1" title="MCART_1:func.1">`1_3</a>  or <font color="Maroon" title="c8">e</font> <a href="mcart_1.html#K2" title="MCART_1:func.2">`2_3</a>  <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a> <font color="Maroon" title="c9">f</font> <a href="mcart_1.html#K2" title="MCART_1:func.2">`2_3</a>  or <font color="Maroon" title="c8">e</font> <a href="mcart_1.html#K3" title="MCART_1:func.3">`3_3</a>  <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a> <font color="Maroon" title="c9">f</font> <a href="mcart_1.html#K3" title="MCART_1:func.3">`3_3</a>  )
 <span class="kw">by</span> <span class="lab"><a class="txt" href="#E11:36"><span class="lab"><font color="Green" title="E34">A9</font></span></a>, <a class="txt" href="#E1:36_1"><span class="lab"><font color="Green" title="E36">A11</font></span></a>, <a class="txt" href="#E1:36_1_1"><span class="lab"><font color="Green" title="E37">AA</font></span></a></span>;<br/><div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="36_1_1_1"><span class="kw">per </span></a><a class="txt" onmouseover="tooltip.show('hs',this)" onmouseout="tooltip.hide()" onclick="hs(this)" href="javascript:()"><span class="kw">cases </span></a><span class="hide"><a NAME="E1:36_1_1_1"/>
( <span class="p1">(<span class="default"><font color="Maroon" title="c8">e</font> <a href="mcart_1.html#K1" title="MCART_1:func.1">`1_3</a></span>)</span> <a href="algstr_0.html#K5" title="ALGSTR_0:func.5">-</a> <span class="p1">(<span class="default"><font color="Maroon" title="c9">f</font> <a href="mcart_1.html#K1" title="MCART_1:func.1">`1_3</a></span>)</span> <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a>  <a href="struct_0.html#K4" title="STRUCT_0:func.4">0.</a> <font color="Maroon" title="c1">F</font> or <span class="p1">(<span class="default"><font color="Maroon" title="c8">e</font> <a href="mcart_1.html#K2" title="MCART_1:func.2">`2_3</a></span>)</span> <a href="algstr_0.html#K5" title="ALGSTR_0:func.5">-</a> <span class="p1">(<span class="default"><font color="Maroon" title="c9">f</font> <a href="mcart_1.html#K2" title="MCART_1:func.2">`2_3</a></span>)</span> <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a>  <a href="struct_0.html#K4" title="STRUCT_0:func.4">0.</a> <font color="Maroon" title="c1">F</font> or <span class="p1">(<span class="default"><font color="Maroon" title="c8">e</font> <a href="mcart_1.html#K3" title="MCART_1:func.3">`3_3</a></span>)</span> <a href="algstr_0.html#K5" title="ALGSTR_0:func.5">-</a> <span class="p1">(<span class="default"><font color="Maroon" title="c9">f</font> <a href="mcart_1.html#K3" title="MCART_1:func.3">`3_3</a></span>)</span> <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a>  <a href="struct_0.html#K4" title="STRUCT_0:func.4">0.</a> <font color="Maroon" title="c1">F</font> )
 </span><span class="kw">by</span> <span class="lab"><a class="txt" href="#E3:36_1_1"><span class="lab"><font color="Green" title="E38">A12</font></span></a>, <a class="ref" href="rlvect_1.html#T21" onmouseover="rs('rlvect_1/T21')" onmouseout="rh()">RLVECT_1:21</a></span>;<br/><div class="add"><div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="36_1_1_1_1"><span class="kw">case </span></a><a NAME="E1:36_1_1_1_1"/><span class="lab"><font color="Green" title="E39">A13</font></span>: 
<span class="p1">(<span class="default"><font color="Maroon" title="c8">e</font> <a href="mcart_1.html#K1" title="MCART_1:func.1">`1_3</a></span>)</span> <a href="algstr_0.html#K5" title="ALGSTR_0:func.5">-</a> <span class="p1">(<span class="default"><font color="Maroon" title="c9">f</font> <a href="mcart_1.html#K1" title="MCART_1:func.1">`1_3</a></span>)</span> <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a>  <a href="struct_0.html#K4" title="STRUCT_0:func.4">0.</a> <font color="Maroon" title="c1">F</font>
 ; <a class="txt" onmouseover="tooltip.show('hs',this)" onmouseout="tooltip.hide()" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide"> ( <span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><font color="Maroon" title="c10">g</font> <a href="mcart_1.html#K1" title="MCART_1:func.1">`1_3</a></span>)</span> <a href="algstr_0.html#K5" title="ALGSTR_0:func.5">-</a> <span class="p3">(<span class="default"><font color="Maroon" title="c11">h</font> <a href="mcart_1.html#K1" title="MCART_1:func.1">`1_3</a></span>)</span></span>)</span> <a href="group_1.html#K8" title="GROUP_1:func.8">*</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><font color="Maroon" title="c14">k</font> <a href="mcart_1.html#K2" title="MCART_1:func.2">`2_3</a></span>)</span> <a href="algstr_0.html#K5" title="ALGSTR_0:func.5">-</a> <span class="p3">(<span class="default"><font color="Maroon" title="c15">l</font> <a href="mcart_1.html#K2" title="MCART_1:func.2">`2_3</a></span>)</span></span>)</span></span>)</span> <a href="algstr_0.html#K5" title="ALGSTR_0:func.5">-</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><font color="Maroon" title="c14">k</font> <a href="mcart_1.html#K1" title="MCART_1:func.1">`1_3</a></span>)</span> <a href="algstr_0.html#K5" title="ALGSTR_0:func.5">-</a> <span class="p3">(<span class="default"><font color="Maroon" title="c15">l</font> <a href="mcart_1.html#K1" title="MCART_1:func.1">`1_3</a></span>)</span></span>)</span> <a href="group_1.html#K8" title="GROUP_1:func.8">*</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><font color="Maroon" title="c10">g</font> <a href="mcart_1.html#K2" title="MCART_1:func.2">`2_3</a></span>)</span> <a href="algstr_0.html#K5" title="ALGSTR_0:func.5">-</a> <span class="p3">(<span class="default"><font color="Maroon" title="c11">h</font> <a href="mcart_1.html#K2" title="MCART_1:func.2">`2_3</a></span>)</span></span>)</span></span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="struct_0.html#K4" title="STRUCT_0:func.4">0.</a> <font color="Maroon" title="c1">F</font> &amp; <span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><font color="Maroon" title="c10">g</font> <a href="mcart_1.html#K1" title="MCART_1:func.1">`1_3</a></span>)</span> <a href="algstr_0.html#K5" title="ALGSTR_0:func.5">-</a> <span class="p3">(<span class="default"><font color="Maroon" title="c11">h</font> <a href="mcart_1.html#K1" title="MCART_1:func.1">`1_3</a></span>)</span></span>)</span> <a href="group_1.html#K8" title="GROUP_1:func.8">*</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><font color="Maroon" title="c14">k</font> <a href="mcart_1.html#K3" title="MCART_1:func.3">`3_3</a></span>)</span> <a href="algstr_0.html#K5" title="ALGSTR_0:func.5">-</a> <span class="p3">(<span class="default"><font color="Maroon" title="c15">l</font> <a href="mcart_1.html#K3" title="MCART_1:func.3">`3_3</a></span>)</span></span>)</span></span>)</span> <a href="algstr_0.html#K5" title="ALGSTR_0:func.5">-</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><font color="Maroon" title="c14">k</font> <a href="mcart_1.html#K1" title="MCART_1:func.1">`1_3</a></span>)</span> <a href="algstr_0.html#K5" title="ALGSTR_0:func.5">-</a> <span class="p3">(<span class="default"><font color="Maroon" title="c15">l</font> <a href="mcart_1.html#K1" title="MCART_1:func.1">`1_3</a></span>)</span></span>)</span> <a href="group_1.html#K8" title="GROUP_1:func.8">*</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><font color="Maroon" title="c10">g</font> <a href="mcart_1.html#K3" title="MCART_1:func.3">`3_3</a></span>)</span> <a href="algstr_0.html#K5" title="ALGSTR_0:func.5">-</a> <span class="p3">(<span class="default"><font color="Maroon" title="c11">h</font> <a href="mcart_1.html#K3" title="MCART_1:func.3">`3_3</a></span>)</span></span>)</span></span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="struct_0.html#K4" title="STRUCT_0:func.4">0.</a> <font color="Maroon" title="c1">F</font> &amp; <span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><font color="Maroon" title="c10">g</font> <a href="mcart_1.html#K2" title="MCART_1:func.2">`2_3</a></span>)</span> <a href="algstr_0.html#K5" title="ALGSTR_0:func.5">-</a> <span class="p3">(<span class="default"><font color="Maroon" title="c11">h</font> <a href="mcart_1.html#K2" title="MCART_1:func.2">`2_3</a></span>)</span></span>)</span> <a href="group_1.html#K8" title="GROUP_1:func.8">*</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><font color="Maroon" title="c14">k</font> <a href="mcart_1.html#K3" title="MCART_1:func.3">`3_3</a></span>)</span> <a href="algstr_0.html#K5" title="ALGSTR_0:func.5">-</a> <span class="p3">(<span class="default"><font color="Maroon" title="c15">l</font> <a href="mcart_1.html#K3" title="MCART_1:func.3">`3_3</a></span>)</span></span>)</span></span>)</span> <a href="algstr_0.html#K5" title="ALGSTR_0:func.5">-</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><font color="Maroon" title="c14">k</font> <a href="mcart_1.html#K2" title="MCART_1:func.2">`2_3</a></span>)</span> <a href="algstr_0.html#K5" title="ALGSTR_0:func.5">-</a> <span class="p3">(<span class="default"><font color="Maroon" title="c15">l</font> <a href="mcart_1.html#K2" title="MCART_1:func.2">`2_3</a></span>)</span></span>)</span> <a href="group_1.html#K8" title="GROUP_1:func.8">*</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><font color="Maroon" title="c10">g</font> <a href="mcart_1.html#K3" title="MCART_1:func.3">`3_3</a></span>)</span> <a href="algstr_0.html#K5" title="ALGSTR_0:func.5">-</a> <span class="p3">(<span class="default"><font color="Maroon" title="c11">h</font> <a href="mcart_1.html#K3" title="MCART_1:func.3">`3_3</a></span>)</span></span>)</span></span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="struct_0.html#K4" title="STRUCT_0:func.4">0.</a> <font color="Maroon" title="c1">F</font> )</span><br/><div class="add"><span class="kw">hence </span><a NAME="E2:36_1_1_1_1"/>
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><font color="Maroon" title="c10">g</font> <a href="mcart_1.html#K1" title="MCART_1:func.1">`1_3</a></span>)</span> <a href="algstr_0.html#K5" title="ALGSTR_0:func.5">-</a> <span class="p3">(<span class="default"><font color="Maroon" title="c11">h</font> <a href="mcart_1.html#K1" title="MCART_1:func.1">`1_3</a></span>)</span></span>)</span> <a href="group_1.html#K8" title="GROUP_1:func.8">*</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><font color="Maroon" title="c14">k</font> <a href="mcart_1.html#K2" title="MCART_1:func.2">`2_3</a></span>)</span> <a href="algstr_0.html#K5" title="ALGSTR_0:func.5">-</a> <span class="p3">(<span class="default"><font color="Maroon" title="c15">l</font> <a href="mcart_1.html#K2" title="MCART_1:func.2">`2_3</a></span>)</span></span>)</span></span>)</span> <a href="algstr_0.html#K5" title="ALGSTR_0:func.5">-</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><font color="Maroon" title="c14">k</font> <a href="mcart_1.html#K1" title="MCART_1:func.1">`1_3</a></span>)</span> <a href="algstr_0.html#K5" title="ALGSTR_0:func.5">-</a> <span class="p3">(<span class="default"><font color="Maroon" title="c15">l</font> <a href="mcart_1.html#K1" title="MCART_1:func.1">`1_3</a></span>)</span></span>)</span> <a href="group_1.html#K8" title="GROUP_1:func.8">*</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><font color="Maroon" title="c10">g</font> <a href="mcart_1.html#K2" title="MCART_1:func.2">`2_3</a></span>)</span> <a href="algstr_0.html#K5" title="ALGSTR_0:func.5">-</a> <span class="p3">(<span class="default"><font color="Maroon" title="c11">h</font> <a href="mcart_1.html#K2" title="MCART_1:func.2">`2_3</a></span>)</span></span>)</span></span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="struct_0.html#K4" title="STRUCT_0:func.4">0.</a> <font color="Maroon" title="c1">F</font>
 <span class="kw">by</span> <span class="lab"><a class="txt" href="#E5:36"><span class="lab"><font color="Green" title="E29">A4</font></span></a>, <a class="txt" href="#E8:36"><span class="lab"><font color="Green" title="E31">A6</font></span></a>, <a class="txt" href="#E11:36"><span class="lab"><font color="Green" title="E34">A9</font></span></a>, <a class="txt" href="#E9:36"><span class="lab"><font color="Green" title="E32">A7</font></span></a>, <a class="txt" href="parsp_1.html#E4"><span class="lab"><font color="Green" title="E4">Lm4</font></span></a></span>; <a class="txt" onmouseover="tooltip.show('hs',this)" onmouseout="tooltip.hide()" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide"> ( <span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><font color="Maroon" title="c10">g</font> <a href="mcart_1.html#K1" title="MCART_1:func.1">`1_3</a></span>)</span> <a href="algstr_0.html#K5" title="ALGSTR_0:func.5">-</a> <span class="p3">(<span class="default"><font color="Maroon" title="c11">h</font> <a href="mcart_1.html#K1" title="MCART_1:func.1">`1_3</a></span>)</span></span>)</span> <a href="group_1.html#K8" title="GROUP_1:func.8">*</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><font color="Maroon" title="c14">k</font> <a href="mcart_1.html#K3" title="MCART_1:func.3">`3_3</a></span>)</span> <a href="algstr_0.html#K5" title="ALGSTR_0:func.5">-</a> <span class="p3">(<span class="default"><font color="Maroon" title="c15">l</font> <a href="mcart_1.html#K3" title="MCART_1:func.3">`3_3</a></span>)</span></span>)</span></span>)</span> <a href="algstr_0.html#K5" title="ALGSTR_0:func.5">-</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><font color="Maroon" title="c14">k</font> <a href="mcart_1.html#K1" title="MCART_1:func.1">`1_3</a></span>)</span> <a href="algstr_0.html#K5" title="ALGSTR_0:func.5">-</a> <span class="p3">(<span class="default"><font color="Maroon" title="c15">l</font> <a href="mcart_1.html#K1" title="MCART_1:func.1">`1_3</a></span>)</span></span>)</span> <a href="group_1.html#K8" title="GROUP_1:func.8">*</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><font color="Maroon" title="c10">g</font> <a href="mcart_1.html#K3" title="MCART_1:func.3">`3_3</a></span>)</span> <a href="algstr_0.html#K5" title="ALGSTR_0:func.5">-</a> <span class="p3">(<span class="default"><font color="Maroon" title="c11">h</font> <a href="mcart_1.html#K3" title="MCART_1:func.3">`3_3</a></span>)</span></span>)</span></span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="struct_0.html#K4" title="STRUCT_0:func.4">0.</a> <font color="Maroon" title="c1">F</font> &amp; <span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><font color="Maroon" title="c10">g</font> <a href="mcart_1.html#K2" title="MCART_1:func.2">`2_3</a></span>)</span> <a href="algstr_0.html#K5" title="ALGSTR_0:func.5">-</a> <span class="p3">(<span class="default"><font color="Maroon" title="c11">h</font> <a href="mcart_1.html#K2" title="MCART_1:func.2">`2_3</a></span>)</span></span>)</span> <a href="group_1.html#K8" title="GROUP_1:func.8">*</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><font color="Maroon" title="c14">k</font> <a href="mcart_1.html#K3" title="MCART_1:func.3">`3_3</a></span>)</span> <a href="algstr_0.html#K5" title="ALGSTR_0:func.5">-</a> <span class="p3">(<span class="default"><font color="Maroon" title="c15">l</font> <a href="mcart_1.html#K3" title="MCART_1:func.3">`3_3</a></span>)</span></span>)</span></span>)</span> <a href="algstr_0.html#K5" title="ALGSTR_0:func.5">-</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><font color="Maroon" title="c14">k</font> <a href="mcart_1.html#K2" title="MCART_1:func.2">`2_3</a></span>)</span> <a href="algstr_0.html#K5" title="ALGSTR_0:func.5">-</a> <span class="p3">(<span class="default"><font color="Maroon" title="c15">l</font> <a href="mcart_1.html#K2" title="MCART_1:func.2">`2_3</a></span>)</span></span>)</span> <a href="group_1.html#K8" title="GROUP_1:func.8">*</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><font color="Maroon" title="c10">g</font> <a href="mcart_1.html#K3" title="MCART_1:func.3">`3_3</a></span>)</span> <a href="algstr_0.html#K5" title="ALGSTR_0:func.5">-</a> <span class="p3">(<span class="default"><font color="Maroon" title="c11">h</font> <a href="mcart_1.html#K3" title="MCART_1:func.3">`3_3</a></span>)</span></span>)</span></span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="struct_0.html#K4" title="STRUCT_0:func.4">0.</a> <font color="Maroon" title="c1">F</font> )</span><br/><span class="kw">thus </span><a NAME="E3:36_1_1_1_1"/><span class="lab"><font color="Green" title="E40">A14</font></span>: 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><font color="Maroon" title="c10">g</font> <a href="mcart_1.html#K1" title="MCART_1:func.1">`1_3</a></span>)</span> <a href="algstr_0.html#K5" title="ALGSTR_0:func.5">-</a> <span class="p3">(<span class="default"><font color="Maroon" title="c11">h</font> <a href="mcart_1.html#K1" title="MCART_1:func.1">`1_3</a></span>)</span></span>)</span> <a href="group_1.html#K8" title="GROUP_1:func.8">*</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><font color="Maroon" title="c14">k</font> <a href="mcart_1.html#K3" title="MCART_1:func.3">`3_3</a></span>)</span> <a href="algstr_0.html#K5" title="ALGSTR_0:func.5">-</a> <span class="p3">(<span class="default"><font color="Maroon" title="c15">l</font> <a href="mcart_1.html#K3" title="MCART_1:func.3">`3_3</a></span>)</span></span>)</span></span>)</span> <a href="algstr_0.html#K5" title="ALGSTR_0:func.5">-</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><font color="Maroon" title="c14">k</font> <a href="mcart_1.html#K1" title="MCART_1:func.1">`1_3</a></span>)</span> <a href="algstr_0.html#K5" title="ALGSTR_0:func.5">-</a> <span class="p3">(<span class="default"><font color="Maroon" title="c15">l</font> <a href="mcart_1.html#K1" title="MCART_1:func.1">`1_3</a></span>)</span></span>)</span> <a href="group_1.html#K8" title="GROUP_1:func.8">*</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><font color="Maroon" title="c10">g</font> <a href="mcart_1.html#K3" title="MCART_1:func.3">`3_3</a></span>)</span> <a href="algstr_0.html#K5" title="ALGSTR_0:func.5">-</a> <span class="p3">(<span class="default"><font color="Maroon" title="c11">h</font> <a href="mcart_1.html#K3" title="MCART_1:func.3">`3_3</a></span>)</span></span>)</span></span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="struct_0.html#K4" title="STRUCT_0:func.4">0.</a> <font color="Maroon" title="c1">F</font>
 <span class="kw">by</span> <span class="lab"><a class="txt" href="#E5:36"><span class="lab"><font color="Green" title="E29">A4</font></span></a>, <a class="txt" href="#E8:36"><span class="lab"><font color="Green" title="E31">A6</font></span></a>, <a class="txt" href="#E11:36"><span class="lab"><font color="Green" title="E34">A9</font></span></a>, <a class="txt" href="#E9:36"><span class="lab"><font color="Green" title="E32">A7</font></span></a>, <a class="txt" href="#E1:36_1_1_1_1"><span class="lab"><font color="Green" title="E39">A13</font></span></a>, <a class="txt" href="parsp_1.html#E4"><span class="lab"><font color="Green" title="E4">Lm4</font></span></a></span>; <a class="txt" onmouseover="tooltip.show('hs',this)" onmouseout="tooltip.hide()" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide"> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><font color="Maroon" title="c10">g</font> <a href="mcart_1.html#K2" title="MCART_1:func.2">`2_3</a></span>)</span> <a href="algstr_0.html#K5" title="ALGSTR_0:func.5">-</a> <span class="p3">(<span class="default"><font color="Maroon" title="c11">h</font> <a href="mcart_1.html#K2" title="MCART_1:func.2">`2_3</a></span>)</span></span>)</span> <a href="group_1.html#K8" title="GROUP_1:func.8">*</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><font color="Maroon" title="c14">k</font> <a href="mcart_1.html#K3" title="MCART_1:func.3">`3_3</a></span>)</span> <a href="algstr_0.html#K5" title="ALGSTR_0:func.5">-</a> <span class="p3">(<span class="default"><font color="Maroon" title="c15">l</font> <a href="mcart_1.html#K3" title="MCART_1:func.3">`3_3</a></span>)</span></span>)</span></span>)</span> <a href="algstr_0.html#K5" title="ALGSTR_0:func.5">-</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><font color="Maroon" title="c14">k</font> <a href="mcart_1.html#K2" title="MCART_1:func.2">`2_3</a></span>)</span> <a href="algstr_0.html#K5" title="ALGSTR_0:func.5">-</a> <span class="p3">(<span class="default"><font color="Maroon" title="c15">l</font> <a href="mcart_1.html#K2" title="MCART_1:func.2">`2_3</a></span>)</span></span>)</span> <a href="group_1.html#K8" title="GROUP_1:func.8">*</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><font color="Maroon" title="c10">g</font> <a href="mcart_1.html#K3" title="MCART_1:func.3">`3_3</a></span>)</span> <a href="algstr_0.html#K5" title="ALGSTR_0:func.5">-</a> <span class="p3">(<span class="default"><font color="Maroon" title="c11">h</font> <a href="mcart_1.html#K3" title="MCART_1:func.3">`3_3</a></span>)</span></span>)</span></span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="struct_0.html#K4" title="STRUCT_0:func.4">0.</a> <font color="Maroon" title="c1">F</font></span><br/><a NAME="E4:36_1_1_1_1"/>
( <span class="p1">(<span class="default"><span class="p2">(<span class="default"><font color="Maroon" title="c10">g</font> <a href="mcart_1.html#K2" title="MCART_1:func.2">`2_3</a></span>)</span> <a href="algstr_0.html#K5" title="ALGSTR_0:func.5">-</a> <span class="p2">(<span class="default"><font color="Maroon" title="c11">h</font> <a href="mcart_1.html#K2" title="MCART_1:func.2">`2_3</a></span>)</span></span>)</span> <a href="group_1.html#K8" title="GROUP_1:func.8">*</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><font color="Maroon" title="c14">k</font> <a href="mcart_1.html#K3" title="MCART_1:func.3">`3_3</a></span>)</span> <a href="algstr_0.html#K5" title="ALGSTR_0:func.5">-</a> <span class="p2">(<span class="default"><font color="Maroon" title="c15">l</font> <a href="mcart_1.html#K3" title="MCART_1:func.3">`3_3</a></span>)</span></span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.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"><font color="Maroon" title="c10">g</font> <a href="mcart_1.html#K1" title="MCART_1:func.1">`1_3</a></span>)</span> <a href="algstr_0.html#K5" title="ALGSTR_0:func.5">-</a> <span class="p4">(<span class="default"><font color="Maroon" title="c11">h</font> <a href="mcart_1.html#K1" title="MCART_1:func.1">`1_3</a></span>)</span></span>)</span> <a href="group_1.html#K8" title="GROUP_1:func.8">*</a> <span class="p3">(<span class="default"><span class="p4">(<span class="default"><font color="Maroon" title="c8">e</font> <a href="mcart_1.html#K2" title="MCART_1:func.2">`2_3</a></span>)</span> <a href="algstr_0.html#K5" title="ALGSTR_0:func.5">-</a> <span class="p4">(<span class="default"><font color="Maroon" title="c9">f</font> <a href="mcart_1.html#K2" title="MCART_1:func.2">`2_3</a></span>)</span></span>)</span></span>)</span> <a href="group_1.html#K8" title="GROUP_1:func.8">*</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><font color="Maroon" title="c8">e</font> <a href="mcart_1.html#K1" title="MCART_1:func.1">`1_3</a></span>)</span> <a href="algstr_0.html#K5" title="ALGSTR_0:func.5">-</a> <span class="p4">(<span class="default"><font color="Maroon" title="c9">f</font> <a href="mcart_1.html#K1" title="MCART_1:func.1">`1_3</a></span>)</span></span>)</span> <a href="algstr_0.html#K9" title="ALGSTR_0:func.9">"</a></span>)</span></span>)</span> <a href="group_1.html#K8" title="GROUP_1:func.8">*</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><font color="Maroon" title="c14">k</font> <a href="mcart_1.html#K3" title="MCART_1:func.3">`3_3</a></span>)</span> <a href="algstr_0.html#K5" title="ALGSTR_0:func.5">-</a> <span class="p2">(<span class="default"><font color="Maroon" title="c15">l</font> <a href="mcart_1.html#K3" title="MCART_1:func.3">`3_3</a></span>)</span></span>)</span> &amp; <span class="p1">(<span class="default"><span class="p2">(<span class="default"><font color="Maroon" title="c14">k</font> <a href="mcart_1.html#K2" title="MCART_1:func.2">`2_3</a></span>)</span> <a href="algstr_0.html#K5" title="ALGSTR_0:func.5">-</a> <span class="p2">(<span class="default"><font color="Maroon" title="c15">l</font> <a href="mcart_1.html#K2" title="MCART_1:func.2">`2_3</a></span>)</span></span>)</span> <a href="group_1.html#K8" title="GROUP_1:func.8">*</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><font color="Maroon" title="c10">g</font> <a href="mcart_1.html#K3" title="MCART_1:func.3">`3_3</a></span>)</span> <a href="algstr_0.html#K5" title="ALGSTR_0:func.5">-</a> <span class="p2">(<span class="default"><font color="Maroon" title="c11">h</font> <a href="mcart_1.html#K3" title="MCART_1:func.3">`3_3</a></span>)</span></span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.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"><font color="Maroon" title="c14">k</font> <a href="mcart_1.html#K1" title="MCART_1:func.1">`1_3</a></span>)</span> <a href="algstr_0.html#K5" title="ALGSTR_0:func.5">-</a> <span class="p4">(<span class="default"><font color="Maroon" title="c15">l</font> <a href="mcart_1.html#K1" title="MCART_1:func.1">`1_3</a></span>)</span></span>)</span> <a href="group_1.html#K8" title="GROUP_1:func.8">*</a> <span class="p3">(<span class="default"><span class="p4">(<span class="default"><font color="Maroon" title="c8">e</font> <a href="mcart_1.html#K2" title="MCART_1:func.2">`2_3</a></span>)</span> <a href="algstr_0.html#K5" title="ALGSTR_0:func.5">-</a> <span class="p4">(<span class="default"><font color="Maroon" title="c9">f</font> <a href="mcart_1.html#K2" title="MCART_1:func.2">`2_3</a></span>)</span></span>)</span></span>)</span> <a href="group_1.html#K8" title="GROUP_1:func.8">*</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><font color="Maroon" title="c8">e</font> <a href="mcart_1.html#K1" title="MCART_1:func.1">`1_3</a></span>)</span> <a href="algstr_0.html#K5" title="ALGSTR_0:func.5">-</a> <span class="p4">(<span class="default"><font color="Maroon" title="c9">f</font> <a href="mcart_1.html#K1" title="MCART_1:func.1">`1_3</a></span>)</span></span>)</span> <a href="algstr_0.html#K9" title="ALGSTR_0:func.9">"</a></span>)</span></span>)</span> <a href="group_1.html#K8" title="GROUP_1:func.8">*</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><font color="Maroon" title="c10">g</font> <a href="mcart_1.html#K3" title="MCART_1:func.3">`3_3</a></span>)</span> <a href="algstr_0.html#K5" title="ALGSTR_0:func.5">-</a> <span class="p2">(<span class="default"><font color="Maroon" title="c11">h</font> <a href="mcart_1.html#K3" title="MCART_1:func.3">`3_3</a></span>)</span></span>)</span> )
 <span class="kw">by</span> <span class="lab"><a class="txt" href="#E5:36"><span class="lab"><font color="Green" title="E29">A4</font></span></a>, <a class="txt" href="#E8:36"><span class="lab"><font color="Green" title="E31">A6</font></span></a>, <a class="txt" href="#E11:36"><span class="lab"><font color="Green" title="E34">A9</font></span></a>, <a class="txt" href="#E9:36"><span class="lab"><font color="Green" title="E32">A7</font></span></a>, <a class="txt" href="#E1:36_1_1_1_1"><span class="lab"><font color="Green" title="E39">A13</font></span></a>, <a class="ref" href="vectsp_1.html#T30" onmouseover="rs('vectsp_1/T30')" onmouseout="rh()">VECTSP_1:30</a></span>;<br/><span class="kw">hence </span><a NAME="E5:36_1_1_1_1"/>
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><font color="Maroon" title="c10">g</font> <a href="mcart_1.html#K2" title="MCART_1:func.2">`2_3</a></span>)</span> <a href="algstr_0.html#K5" title="ALGSTR_0:func.5">-</a> <span class="p3">(<span class="default"><font color="Maroon" title="c11">h</font> <a href="mcart_1.html#K2" title="MCART_1:func.2">`2_3</a></span>)</span></span>)</span> <a href="group_1.html#K8" title="GROUP_1:func.8">*</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><font color="Maroon" title="c14">k</font> <a href="mcart_1.html#K3" title="MCART_1:func.3">`3_3</a></span>)</span> <a href="algstr_0.html#K5" title="ALGSTR_0:func.5">-</a> <span class="p3">(<span class="default"><font color="Maroon" title="c15">l</font> <a href="mcart_1.html#K3" title="MCART_1:func.3">`3_3</a></span>)</span></span>)</span></span>)</span> <a href="algstr_0.html#K5" title="ALGSTR_0:func.5">-</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><font color="Maroon" title="c14">k</font> <a href="mcart_1.html#K2" title="MCART_1:func.2">`2_3</a></span>)</span> <a href="algstr_0.html#K5" title="ALGSTR_0:func.5">-</a> <span class="p3">(<span class="default"><font color="Maroon" title="c15">l</font> <a href="mcart_1.html#K2" title="MCART_1:func.2">`2_3</a></span>)</span></span>)</span> <a href="group_1.html#K8" title="GROUP_1:func.8">*</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><font color="Maroon" title="c10">g</font> <a href="mcart_1.html#K3" title="MCART_1:func.3">`3_3</a></span>)</span> <a href="algstr_0.html#K5" title="ALGSTR_0:func.5">-</a> <span class="p3">(<span class="default"><font color="Maroon" title="c11">h</font> <a href="mcart_1.html#K3" title="MCART_1:func.3">`3_3</a></span>)</span></span>)</span></span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="struct_0.html#K4" title="STRUCT_0:func.4">0.</a> <font color="Maroon" title="c1">F</font>
 <span class="kw">by</span> <span class="lab"><a class="txt" href="#E3:36_1_1_1_1"><span class="lab"><font color="Green" title="E40">A14</font></span></a>, <a class="txt" href="parsp_1.html#E8"><span class="lab"><font color="Green" title="E8">Lm8</font></span></a></span>; <a class="txt" onmouseover="tooltip.show('hs',this)" onmouseout="tooltip.hide()" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide"> verum</span><br/></div><span class="kw">end;</span></div><div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="36_1_1_1_2"><span class="kw">case </span></a><a NAME="E1:36_1_1_1_2"/><span class="lab"><font color="Green" title="E39">A15</font></span>: 
<span class="p1">(<span class="default"><font color="Maroon" title="c8">e</font> <a href="mcart_1.html#K2" title="MCART_1:func.2">`2_3</a></span>)</span> <a href="algstr_0.html#K5" title="ALGSTR_0:func.5">-</a> <span class="p1">(<span class="default"><font color="Maroon" title="c9">f</font> <a href="mcart_1.html#K2" title="MCART_1:func.2">`2_3</a></span>)</span> <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a>  <a href="struct_0.html#K4" title="STRUCT_0:func.4">0.</a> <font color="Maroon" title="c1">F</font>
 ; <a class="txt" onmouseover="tooltip.show('hs',this)" onmouseout="tooltip.hide()" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide"> ( <span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><font color="Maroon" title="c10">g</font> <a href="mcart_1.html#K1" title="MCART_1:func.1">`1_3</a></span>)</span> <a href="algstr_0.html#K5" title="ALGSTR_0:func.5">-</a> <span class="p3">(<span class="default"><font color="Maroon" title="c11">h</font> <a href="mcart_1.html#K1" title="MCART_1:func.1">`1_3</a></span>)</span></span>)</span> <a href="group_1.html#K8" title="GROUP_1:func.8">*</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><font color="Maroon" title="c14">k</font> <a href="mcart_1.html#K2" title="MCART_1:func.2">`2_3</a></span>)</span> <a href="algstr_0.html#K5" title="ALGSTR_0:func.5">-</a> <span class="p3">(<span class="default"><font color="Maroon" title="c15">l</font> <a href="mcart_1.html#K2" title="MCART_1:func.2">`2_3</a></span>)</span></span>)</span></span>)</span> <a href="algstr_0.html#K5" title="ALGSTR_0:func.5">-</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><font color="Maroon" title="c14">k</font> <a href="mcart_1.html#K1" title="MCART_1:func.1">`1_3</a></span>)</span> <a href="algstr_0.html#K5" title="ALGSTR_0:func.5">-</a> <span class="p3">(<span class="default"><font color="Maroon" title="c15">l</font> <a href="mcart_1.html#K1" title="MCART_1:func.1">`1_3</a></span>)</span></span>)</span> <a href="group_1.html#K8" title="GROUP_1:func.8">*</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><font color="Maroon" title="c10">g</font> <a href="mcart_1.html#K2" title="MCART_1:func.2">`2_3</a></span>)</span> <a href="algstr_0.html#K5" title="ALGSTR_0:func.5">-</a> <span class="p3">(<span class="default"><font color="Maroon" title="c11">h</font> <a href="mcart_1.html#K2" title="MCART_1:func.2">`2_3</a></span>)</span></span>)</span></span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="struct_0.html#K4" title="STRUCT_0:func.4">0.</a> <font color="Maroon" title="c1">F</font> &amp; <span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><font color="Maroon" title="c10">g</font> <a href="mcart_1.html#K2" title="MCART_1:func.2">`2_3</a></span>)</span> <a href="algstr_0.html#K5" title="ALGSTR_0:func.5">-</a> <span class="p3">(<span class="default"><font color="Maroon" title="c11">h</font> <a href="mcart_1.html#K2" title="MCART_1:func.2">`2_3</a></span>)</span></span>)</span> <a href="group_1.html#K8" title="GROUP_1:func.8">*</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><font color="Maroon" title="c14">k</font> <a href="mcart_1.html#K3" title="MCART_1:func.3">`3_3</a></span>)</span> <a href="algstr_0.html#K5" title="ALGSTR_0:func.5">-</a> <span class="p3">(<span class="default"><font color="Maroon" title="c15">l</font> <a href="mcart_1.html#K3" title="MCART_1:func.3">`3_3</a></span>)</span></span>)</span></span>)</span> <a href="algstr_0.html#K5" title="ALGSTR_0:func.5">-</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><font color="Maroon" title="c14">k</font> <a href="mcart_1.html#K2" title="MCART_1:func.2">`2_3</a></span>)</span> <a href="algstr_0.html#K5" title="ALGSTR_0:func.5">-</a> <span class="p3">(<span class="default"><font color="Maroon" title="c15">l</font> <a href="mcart_1.html#K2" title="MCART_1:func.2">`2_3</a></span>)</span></span>)</span> <a href="group_1.html#K8" title="GROUP_1:func.8">*</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><font color="Maroon" title="c10">g</font> <a href="mcart_1.html#K3" title="MCART_1:func.3">`3_3</a></span>)</span> <a href="algstr_0.html#K5" title="ALGSTR_0:func.5">-</a> <span class="p3">(<span class="default"><font color="Maroon" title="c11">h</font> <a href="mcart_1.html#K3" title="MCART_1:func.3">`3_3</a></span>)</span></span>)</span></span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="struct_0.html#K4" title="STRUCT_0:func.4">0.</a> <font color="Maroon" title="c1">F</font> &amp; <span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><font color="Maroon" title="c10">g</font> <a href="mcart_1.html#K1" title="MCART_1:func.1">`1_3</a></span>)</span> <a href="algstr_0.html#K5" title="ALGSTR_0:func.5">-</a> <span class="p3">(<span class="default"><font color="Maroon" title="c11">h</font> <a href="mcart_1.html#K1" title="MCART_1:func.1">`1_3</a></span>)</span></span>)</span> <a href="group_1.html#K8" title="GROUP_1:func.8">*</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><font color="Maroon" title="c14">k</font> <a href="mcart_1.html#K3" title="MCART_1:func.3">`3_3</a></span>)</span> <a href="algstr_0.html#K5" title="ALGSTR_0:func.5">-</a> <span class="p3">(<span class="default"><font color="Maroon" title="c15">l</font> <a href="mcart_1.html#K3" title="MCART_1:func.3">`3_3</a></span>)</span></span>)</span></span>)</span> <a href="algstr_0.html#K5" title="ALGSTR_0:func.5">-</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><font color="Maroon" title="c14">k</font> <a href="mcart_1.html#K1" title="MCART_1:func.1">`1_3</a></span>)</span> <a href="algstr_0.html#K5" title="ALGSTR_0:func.5">-</a> <span class="p3">(<span class="default"><font color="Maroon" title="c15">l</font> <a href="mcart_1.html#K1" title="MCART_1:func.1">`1_3</a></span>)</span></span>)</span> <a href="group_1.html#K8" title="GROUP_1:func.8">*</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><font color="Maroon" title="c10">g</font> <a href="mcart_1.html#K3" title="MCART_1:func.3">`3_3</a></span>)</span> <a href="algstr_0.html#K5" title="ALGSTR_0:func.5">-</a> <span class="p3">(<span class="default"><font color="Maroon" title="c11">h</font> <a href="mcart_1.html#K3" title="MCART_1:func.3">`3_3</a></span>)</span></span>)</span></span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="struct_0.html#K4" title="STRUCT_0:func.4">0.</a> <font color="Maroon" title="c1">F</font> )</span><br/><div class="add"><span class="kw">hence </span><a NAME="E2:36_1_1_1_2"/>
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><font color="Maroon" title="c10">g</font> <a href="mcart_1.html#K1" title="MCART_1:func.1">`1_3</a></span>)</span> <a href="algstr_0.html#K5" title="ALGSTR_0:func.5">-</a> <span class="p3">(<span class="default"><font color="Maroon" title="c11">h</font> <a href="mcart_1.html#K1" title="MCART_1:func.1">`1_3</a></span>)</span></span>)</span> <a href="group_1.html#K8" title="GROUP_1:func.8">*</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><font color="Maroon" title="c14">k</font> <a href="mcart_1.html#K2" title="MCART_1:func.2">`2_3</a></span>)</span> <a href="algstr_0.html#K5" title="ALGSTR_0:func.5">-</a> <span class="p3">(<span class="default"><font color="Maroon" title="c15">l</font> <a href="mcart_1.html#K2" title="MCART_1:func.2">`2_3</a></span>)</span></span>)</span></span>)</span> <a href="algstr_0.html#K5" title="ALGSTR_0:func.5">-</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><font color="Maroon" title="c14">k</font> <a href="mcart_1.html#K1" title="MCART_1:func.1">`1_3</a></span>)</span> <a href="algstr_0.html#K5" title="ALGSTR_0:func.5">-</a> <span class="p3">(<span class="default"><font color="Maroon" title="c15">l</font> <a href="mcart_1.html#K1" title="MCART_1:func.1">`1_3</a></span>)</span></span>)</span> <a href="group_1.html#K8" title="GROUP_1:func.8">*</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><font color="Maroon" title="c10">g</font> <a href="mcart_1.html#K2" title="MCART_1:func.2">`2_3</a></span>)</span> <a href="algstr_0.html#K5" title="ALGSTR_0:func.5">-</a> <span class="p3">(<span class="default"><font color="Maroon" title="c11">h</font> <a href="mcart_1.html#K2" title="MCART_1:func.2">`2_3</a></span>)</span></span>)</span></span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="struct_0.html#K4" title="STRUCT_0:func.4">0.</a> <font color="Maroon" title="c1">F</font>
 <span class="kw">by</span> <span class="lab"><a class="txt" href="#E5:36"><span class="lab"><font color="Green" title="E29">A4</font></span></a>, <a class="txt" href="#E8:36"><span class="lab"><font color="Green" title="E31">A6</font></span></a>, <a class="txt" href="#E11:36"><span class="lab"><font color="Green" title="E34">A9</font></span></a>, <a class="txt" href="#E9:36"><span class="lab"><font color="Green" title="E32">A7</font></span></a>, <a class="txt" href="parsp_1.html#E6"><span class="lab"><font color="Green" title="E6">Lm6</font></span></a></span>; <a class="txt" onmouseover="tooltip.show('hs',this)" onmouseout="tooltip.hide()" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide"> ( <span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><font color="Maroon" title="c10">g</font> <a href="mcart_1.html#K2" title="MCART_1:func.2">`2_3</a></span>)</span> <a href="algstr_0.html#K5" title="ALGSTR_0:func.5">-</a> <span class="p3">(<span class="default"><font color="Maroon" title="c11">h</font> <a href="mcart_1.html#K2" title="MCART_1:func.2">`2_3</a></span>)</span></span>)</span> <a href="group_1.html#K8" title="GROUP_1:func.8">*</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><font color="Maroon" title="c14">k</font> <a href="mcart_1.html#K3" title="MCART_1:func.3">`3_3</a></span>)</span> <a href="algstr_0.html#K5" title="ALGSTR_0:func.5">-</a> <span class="p3">(<span class="default"><font color="Maroon" title="c15">l</font> <a href="mcart_1.html#K3" title="MCART_1:func.3">`3_3</a></span>)</span></span>)</span></span>)</span> <a href="algstr_0.html#K5" title="ALGSTR_0:func.5">-</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><font color="Maroon" title="c14">k</font> <a href="mcart_1.html#K2" title="MCART_1:func.2">`2_3</a></span>)</span> <a href="algstr_0.html#K5" title="ALGSTR_0:func.5">-</a> <span class="p3">(<span class="default"><font color="Maroon" title="c15">l</font> <a href="mcart_1.html#K2" title="MCART_1:func.2">`2_3</a></span>)</span></span>)</span> <a href="group_1.html#K8" title="GROUP_1:func.8">*</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><font color="Maroon" title="c10">g</font> <a href="mcart_1.html#K3" title="MCART_1:func.3">`3_3</a></span>)</span> <a href="algstr_0.html#K5" title="ALGSTR_0:func.5">-</a> <span class="p3">(<span class="default"><font color="Maroon" title="c11">h</font> <a href="mcart_1.html#K3" title="MCART_1:func.3">`3_3</a></span>)</span></span>)</span></span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="struct_0.html#K4" title="STRUCT_0:func.4">0.</a> <font color="Maroon" title="c1">F</font> &amp; <span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><font color="Maroon" title="c10">g</font> <a href="mcart_1.html#K1" title="MCART_1:func.1">`1_3</a></span>)</span> <a href="algstr_0.html#K5" title="ALGSTR_0:func.5">-</a> <span class="p3">(<span class="default"><font color="Maroon" title="c11">h</font> <a href="mcart_1.html#K1" title="MCART_1:func.1">`1_3</a></span>)</span></span>)</span> <a href="group_1.html#K8" title="GROUP_1:func.8">*</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><font color="Maroon" title="c14">k</font> <a href="mcart_1.html#K3" title="MCART_1:func.3">`3_3</a></span>)</span> <a href="algstr_0.html#K5" title="ALGSTR_0:func.5">-</a> <span class="p3">(<span class="default"><font color="Maroon" title="c15">l</font> <a href="mcart_1.html#K3" title="MCART_1:func.3">`3_3</a></span>)</span></span>)</span></span>)</span> <a href="algstr_0.html#K5" title="ALGSTR_0:func.5">-</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><font color="Maroon" title="c14">k</font> <a href="mcart_1.html#K1" title="MCART_1:func.1">`1_3</a></span>)</span> <a href="algstr_0.html#K5" title="ALGSTR_0:func.5">-</a> <span class="p3">(<span class="default"><font color="Maroon" title="c15">l</font> <a href="mcart_1.html#K1" title="MCART_1:func.1">`1_3</a></span>)</span></span>)</span> <a href="group_1.html#K8" title="GROUP_1:func.8">*</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><font color="Maroon" title="c10">g</font> <a href="mcart_1.html#K3" title="MCART_1:func.3">`3_3</a></span>)</span> <a href="algstr_0.html#K5" title="ALGSTR_0:func.5">-</a> <span class="p3">(<span class="default"><font color="Maroon" title="c11">h</font> <a href="mcart_1.html#K3" title="MCART_1:func.3">`3_3</a></span>)</span></span>)</span></span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="struct_0.html#K4" title="STRUCT_0:func.4">0.</a> <font color="Maroon" title="c1">F</font> )</span><br/><span class="kw">thus </span><a NAME="E3:36_1_1_1_2"/><span class="lab"><font color="Green" title="E40">A16</font></span>: 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><font color="Maroon" title="c10">g</font> <a href="mcart_1.html#K2" title="MCART_1:func.2">`2_3</a></span>)</span> <a href="algstr_0.html#K5" title="ALGSTR_0:func.5">-</a> <span class="p3">(<span class="default"><font color="Maroon" title="c11">h</font> <a href="mcart_1.html#K2" title="MCART_1:func.2">`2_3</a></span>)</span></span>)</span> <a href="group_1.html#K8" title="GROUP_1:func.8">*</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><font color="Maroon" title="c14">k</font> <a href="mcart_1.html#K3" title="MCART_1:func.3">`3_3</a></span>)</span> <a href="algstr_0.html#K5" title="ALGSTR_0:func.5">-</a> <span class="p3">(<span class="default"><font color="Maroon" title="c15">l</font> <a href="mcart_1.html#K3" title="MCART_1:func.3">`3_3</a></span>)</span></span>)</span></span>)</span> <a href="algstr_0.html#K5" title="ALGSTR_0:func.5">-</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><font color="Maroon" title="c14">k</font> <a href="mcart_1.html#K2" title="MCART_1:func.2">`2_3</a></span>)</span> <a href="algstr_0.html#K5" title="ALGSTR_0:func.5">-</a> <span class="p3">(<span class="default"><font color="Maroon" title="c15">l</font> <a href="mcart_1.html#K2" title="MCART_1:func.2">`2_3</a></span>)</span></span>)</span> <a href="group_1.html#K8" title="GROUP_1:func.8">*</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><font color="Maroon" title="c10">g</font> <a href="mcart_1.html#K3" title="MCART_1:func.3">`3_3</a></span>)</span> <a href="algstr_0.html#K5" title="ALGSTR_0:func.5">-</a> <span class="p3">(<span class="default"><font color="Maroon" title="c11">h</font> <a href="mcart_1.html#K3" title="MCART_1:func.3">`3_3</a></span>)</span></span>)</span></span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="struct_0.html#K4" title="STRUCT_0:func.4">0.</a> <font color="Maroon" title="c1">F</font>
 <span class="kw">by</span> <span class="lab"><a class="txt" href="#E5:36"><span class="lab"><font color="Green" title="E29">A4</font></span></a>, <a class="txt" href="#E8:36"><span class="lab"><font color="Green" title="E31">A6</font></span></a>, <a class="txt" href="#E11:36"><span class="lab"><font color="Green" title="E34">A9</font></span></a>, <a class="txt" href="#E9:36"><span class="lab"><font color="Green" title="E32">A7</font></span></a>, <a class="txt" href="#E1:36_1_1_1_2"><span class="lab"><font color="Green" title="E39">A15</font></span></a>, <a class="txt" href="parsp_1.html#E4"><span class="lab"><font color="Green" title="E4">Lm4</font></span></a></span>; <a class="txt" onmouseover="tooltip.show('hs',this)" onmouseout="tooltip.hide()" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide"> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><font color="Maroon" title="c10">g</font> <a href="mcart_1.html#K1" title="MCART_1:func.1">`1_3</a></span>)</span> <a href="algstr_0.html#K5" title="ALGSTR_0:func.5">-</a> <span class="p3">(<span class="default"><font color="Maroon" title="c11">h</font> <a href="mcart_1.html#K1" title="MCART_1:func.1">`1_3</a></span>)</span></span>)</span> <a href="group_1.html#K8" title="GROUP_1:func.8">*</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><font color="Maroon" title="c14">k</font> <a href="mcart_1.html#K3" title="MCART_1:func.3">`3_3</a></span>)</span> <a href="algstr_0.html#K5" title="ALGSTR_0:func.5">-</a> <span class="p3">(<span class="default"><font color="Maroon" title="c15">l</font> <a href="mcart_1.html#K3" title="MCART_1:func.3">`3_3</a></span>)</span></span>)</span></span>)</span> <a href="algstr_0.html#K5" title="ALGSTR_0:func.5">-</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><font color="Maroon" title="c14">k</font> <a href="mcart_1.html#K1" title="MCART_1:func.1">`1_3</a></span>)</span> <a href="algstr_0.html#K5" title="ALGSTR_0:func.5">-</a> <span class="p3">(<span class="default"><font color="Maroon" title="c15">l</font> <a href="mcart_1.html#K1" title="MCART_1:func.1">`1_3</a></span>)</span></span>)</span> <a href="group_1.html#K8" title="GROUP_1:func.8">*</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><font color="Maroon" title="c10">g</font> <a href="mcart_1.html#K3" title="MCART_1:func.3">`3_3</a></span>)</span> <a href="algstr_0.html#K5" title="ALGSTR_0:func.5">-</a> <span class="p3">(<span class="default"><font color="Maroon" title="c11">h</font> <a href="mcart_1.html#K3" title="MCART_1:func.3">`3_3</a></span>)</span></span>)</span></span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="struct_0.html#K4" title="STRUCT_0:func.4">0.</a> <font color="Maroon" title="c1">F</font></span><br/><a NAME="E4:36_1_1_1_2"/>
( <span class="p1">(<span class="default"><span class="p2">(<span class="default"><font color="Maroon" title="c10">g</font> <a href="mcart_1.html#K1" title="MCART_1:func.1">`1_3</a></span>)</span> <a href="algstr_0.html#K5" title="ALGSTR_0:func.5">-</a> <span class="p2">(<span class="default"><font color="Maroon" title="c11">h</font> <a href="mcart_1.html#K1" title="MCART_1:func.1">`1_3</a></span>)</span></span>)</span> <a href="group_1.html#K8" title="GROUP_1:func.8">*</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><font color="Maroon" title="c14">k</font> <a href="mcart_1.html#K3" title="MCART_1:func.3">`3_3</a></span>)</span> <a href="algstr_0.html#K5" title="ALGSTR_0:func.5">-</a> <span class="p2">(<span class="default"><font color="Maroon" title="c15">l</font> <a href="mcart_1.html#K3" title="MCART_1:func.3">`3_3</a></span>)</span></span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.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"><font color="Maroon" title="c10">g</font> <a href="mcart_1.html#K2" title="MCART_1:func.2">`2_3</a></span>)</span> <a href="algstr_0.html#K5" title="ALGSTR_0:func.5">-</a> <span class="p4">(<span class="default"><font color="Maroon" title="c11">h</font> <a href="mcart_1.html#K2" title="MCART_1:func.2">`2_3</a></span>)</span></span>)</span> <a href="group_1.html#K8" title="GROUP_1:func.8">*</a> <span class="p3">(<span class="default"><span class="p4">(<span class="default"><font color="Maroon" title="c8">e</font> <a href="mcart_1.html#K1" title="MCART_1:func.1">`1_3</a></span>)</span> <a href="algstr_0.html#K5" title="ALGSTR_0:func.5">-</a> <span class="p4">(<span class="default"><font color="Maroon" title="c9">f</font> <a href="mcart_1.html#K1" title="MCART_1:func.1">`1_3</a></span>)</span></span>)</span></span>)</span> <a href="group_1.html#K8" title="GROUP_1:func.8">*</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><font color="Maroon" title="c8">e</font> <a href="mcart_1.html#K2" title="MCART_1:func.2">`2_3</a></span>)</span> <a href="algstr_0.html#K5" title="ALGSTR_0:func.5">-</a> <span class="p4">(<span class="default"><font color="Maroon" title="c9">f</font> <a href="mcart_1.html#K2" title="MCART_1:func.2">`2_3</a></span>)</span></span>)</span> <a href="algstr_0.html#K9" title="ALGSTR_0:func.9">"</a></span>)</span></span>)</span> <a href="group_1.html#K8" title="GROUP_1:func.8">*</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><font color="Maroon" title="c14">k</font> <a href="mcart_1.html#K3" title="MCART_1:func.3">`3_3</a></span>)</span> <a href="algstr_0.html#K5" title="ALGSTR_0:func.5">-</a> <span class="p2">(<span class="default"><font color="Maroon" title="c15">l</font> <a href="mcart_1.html#K3" title="MCART_1:func.3">`3_3</a></span>)</span></span>)</span> &amp; <span class="p1">(<span class="default"><span class="p2">(<span class="default"><font color="Maroon" title="c14">k</font> <a href="mcart_1.html#K1" title="MCART_1:func.1">`1_3</a></span>)</span> <a href="algstr_0.html#K5" title="ALGSTR_0:func.5">-</a> <span class="p2">(<span class="default"><font color="Maroon" title="c15">l</font> <a href="mcart_1.html#K1" title="MCART_1:func.1">`1_3</a></span>)</span></span>)</span> <a href="group_1.html#K8" title="GROUP_1:func.8">*</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><font color="Maroon" title="c10">g</font> <a href="mcart_1.html#K3" title="MCART_1:func.3">`3_3</a></span>)</span> <a href="algstr_0.html#K5" title="ALGSTR_0:func.5">-</a> <span class="p2">(<span class="default"><font color="Maroon" title="c11">h</font> <a href="mcart_1.html#K3" title="MCART_1:func.3">`3_3</a></span>)</span></span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.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"><font color="Maroon" title="c14">k</font> <a href="mcart_1.html#K2" title="MCART_1:func.2">`2_3</a></span>)</span> <a href="algstr_0.html#K5" title="ALGSTR_0:func.5">-</a> <span class="p4">(<span class="default"><font color="Maroon" title="c15">l</font> <a href="mcart_1.html#K2" title="MCART_1:func.2">`2_3</a></span>)</span></span>)</span> <a href="group_1.html#K8" title="GROUP_1:func.8">*</a> <span class="p3">(<span class="default"><span class="p4">(<span class="default"><font color="Maroon" title="c8">e</font> <a href="mcart_1.html#K1" title="MCART_1:func.1">`1_3</a></span>)</span> <a href="algstr_0.html#K5" title="ALGSTR_0:func.5">-</a> <span class="p4">(<span class="default"><font color="Maroon" title="c9">f</font> <a href="mcart_1.html#K1" title="MCART_1:func.1">`1_3</a></span>)</span></span>)</span></span>)</span> <a href="group_1.html#K8" title="GROUP_1:func.8">*</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><font color="Maroon" title="c8">e</font> <a href="mcart_1.html#K2" title="MCART_1:func.2">`2_3</a></span>)</span> <a href="algstr_0.html#K5" title="ALGSTR_0:func.5">-</a> <span class="p4">(<span class="default"><font color="Maroon" title="c9">f</font> <a href="mcart_1.html#K2" title="MCART_1:func.2">`2_3</a></span>)</span></span>)</span> <a href="algstr_0.html#K9" title="ALGSTR_0:func.9">"</a></span>)</span></span>)</span> <a href="group_1.html#K8" title="GROUP_1:func.8">*</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><font color="Maroon" title="c10">g</font> <a href="mcart_1.html#K3" title="MCART_1:func.3">`3_3</a></span>)</span> <a href="algstr_0.html#K5" title="ALGSTR_0:func.5">-</a> <span class="p2">(<span class="default"><font color="Maroon" title="c11">h</font> <a href="mcart_1.html#K3" title="MCART_1:func.3">`3_3</a></span>)</span></span>)</span> )
 <span class="kw">by</span> <span class="lab"><a class="txt" href="#E5:36"><span class="lab"><font color="Green" title="E29">A4</font></span></a>, <a class="txt" href="#E8:36"><span class="lab"><font color="Green" title="E31">A6</font></span></a>, <a class="txt" href="#E11:36"><span class="lab"><font color="Green" title="E34">A9</font></span></a>, <a class="txt" href="#E9:36"><span class="lab"><font color="Green" title="E32">A7</font></span></a>, <a class="txt" href="#E1:36_1_1_1_2"><span class="lab"><font color="Green" title="E39">A15</font></span></a>, <a class="ref" href="vectsp_1.html#T30" onmouseover="rs('vectsp_1/T30')" onmouseout="rh()">VECTSP_1:30</a></span>;<br/><span class="kw">hence </span><a NAME="E5:36_1_1_1_2"/>
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><font color="Maroon" title="c10">g</font> <a href="mcart_1.html#K1" title="MCART_1:func.1">`1_3</a></span>)</span> <a href="algstr_0.html#K5" title="ALGSTR_0:func.5">-</a> <span class="p3">(<span class="default"><font color="Maroon" title="c11">h</font> <a href="mcart_1.html#K1" title="MCART_1:func.1">`1_3</a></span>)</span></span>)</span> <a href="group_1.html#K8" title="GROUP_1:func.8">*</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><font color="Maroon" title="c14">k</font> <a href="mcart_1.html#K3" title="MCART_1:func.3">`3_3</a></span>)</span> <a href="algstr_0.html#K5" title="ALGSTR_0:func.5">-</a> <span class="p3">(<span class="default"><font color="Maroon" title="c15">l</font> <a href="mcart_1.html#K3" title="MCART_1:func.3">`3_3</a></span>)</span></span>)</span></span>)</span> <a href="algstr_0.html#K5" title="ALGSTR_0:func.5">-</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><font color="Maroon" title="c14">k</font> <a href="mcart_1.html#K1" title="MCART_1:func.1">`1_3</a></span>)</span> <a href="algstr_0.html#K5" title="ALGSTR_0:func.5">-</a> <span class="p3">(<span class="default"><font color="Maroon" title="c15">l</font> <a href="mcart_1.html#K1" title="MCART_1:func.1">`1_3</a></span>)</span></span>)</span> <a href="group_1.html#K8" title="GROUP_1:func.8">*</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><font color="Maroon" title="c10">g</font> <a href="mcart_1.html#K3" title="MCART_1:func.3">`3_3</a></span>)</span> <a href="algstr_0.html#K5" title="ALGSTR_0:func.5">-</a> <span class="p3">(<span class="default"><font color="Maroon" title="c11">h</font> <a href="mcart_1.html#K3" title="MCART_1:func.3">`3_3</a></span>)</span></span>)</span></span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="struct_0.html#K4" title="STRUCT_0:func.4">0.</a> <font color="Maroon" title="c1">F</font>
 <span class="kw">by</span> <span class="lab"><a class="txt" href="#E3:36_1_1_1_2"><span class="lab"><font color="Green" title="E40">A16</font></span></a>, <a class="txt" href="parsp_1.html#E8"><span class="lab"><font color="Green" title="E8">Lm8</font></span></a></span>; <a class="txt" onmouseover="tooltip.show('hs',this)" onmouseout="tooltip.hide()" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide"> verum</span><br/></div><span class="kw">end;</span></div><div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="36_1_1_1_3"><span class="kw">case </span></a><a NAME="E1:36_1_1_1_3"/><span class="lab"><font color="Green" title="E39">A17</font></span>: 
<span class="p1">(<span class="default"><font color="Maroon" title="c8">e</font> <a href="mcart_1.html#K3" title="MCART_1:func.3">`3_3</a></span>)</span> <a href="algstr_0.html#K5" title="ALGSTR_0:func.5">-</a> <span class="p1">(<span class="default"><font color="Maroon" title="c9">f</font> <a href="mcart_1.html#K3" title="MCART_1:func.3">`3_3</a></span>)</span> <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a>  <a href="struct_0.html#K4" title="STRUCT_0:func.4">0.</a> <font color="Maroon" title="c1">F</font>
 ; <a class="txt" onmouseover="tooltip.show('hs',this)" onmouseout="tooltip.hide()" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide"> ( <span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><font color="Maroon" title="c10">g</font> <a href="mcart_1.html#K2" title="MCART_1:func.2">`2_3</a></span>)</span> <a href="algstr_0.html#K5" title="ALGSTR_0:func.5">-</a> <span class="p3">(<span class="default"><font color="Maroon" title="c11">h</font> <a href="mcart_1.html#K2" title="MCART_1:func.2">`2_3</a></span>)</span></span>)</span> <a href="group_1.html#K8" title="GROUP_1:func.8">*</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><font color="Maroon" title="c14">k</font> <a href="mcart_1.html#K3" title="MCART_1:func.3">`3_3</a></span>)</span> <a href="algstr_0.html#K5" title="ALGSTR_0:func.5">-</a> <span class="p3">(<span class="default"><font color="Maroon" title="c15">l</font> <a href="mcart_1.html#K3" title="MCART_1:func.3">`3_3</a></span>)</span></span>)</span></span>)</span> <a href="algstr_0.html#K5" title="ALGSTR_0:func.5">-</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><font color="Maroon" title="c14">k</font> <a href="mcart_1.html#K2" title="MCART_1:func.2">`2_3</a></span>)</span> <a href="algstr_0.html#K5" title="ALGSTR_0:func.5">-</a> <span class="p3">(<span class="default"><font color="Maroon" title="c15">l</font> <a href="mcart_1.html#K2" title="MCART_1:func.2">`2_3</a></span>)</span></span>)</span> <a href="group_1.html#K8" title="GROUP_1:func.8">*</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><font color="Maroon" title="c10">g</font> <a href="mcart_1.html#K3" title="MCART_1:func.3">`3_3</a></span>)</span> <a href="algstr_0.html#K5" title="ALGSTR_0:func.5">-</a> <span class="p3">(<span class="default"><font color="Maroon" title="c11">h</font> <a href="mcart_1.html#K3" title="MCART_1:func.3">`3_3</a></span>)</span></span>)</span></span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="struct_0.html#K4" title="STRUCT_0:func.4">0.</a> <font color="Maroon" title="c1">F</font> &amp; <span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><font color="Maroon" title="c10">g</font> <a href="mcart_1.html#K1" title="MCART_1:func.1">`1_3</a></span>)</span> <a href="algstr_0.html#K5" title="ALGSTR_0:func.5">-</a> <span class="p3">(<span class="default"><font color="Maroon" title="c11">h</font> <a href="mcart_1.html#K1" title="MCART_1:func.1">`1_3</a></span>)</span></span>)</span> <a href="group_1.html#K8" title="GROUP_1:func.8">*</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><font color="Maroon" title="c14">k</font> <a href="mcart_1.html#K2" title="MCART_1:func.2">`2_3</a></span>)</span> <a href="algstr_0.html#K5" title="ALGSTR_0:func.5">-</a> <span class="p3">(<span class="default"><font color="Maroon" title="c15">l</font> <a href="mcart_1.html#K2" title="MCART_1:func.2">`2_3</a></span>)</span></span>)</span></span>)</span> <a href="algstr_0.html#K5" title="ALGSTR_0:func.5">-</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><font color="Maroon" title="c14">k</font> <a href="mcart_1.html#K1" title="MCART_1:func.1">`1_3</a></span>)</span> <a href="algstr_0.html#K5" title="ALGSTR_0:func.5">-</a> <span class="p3">(<span class="default"><font color="Maroon" title="c15">l</font> <a href="mcart_1.html#K1" title="MCART_1:func.1">`1_3</a></span>)</span></span>)</span> <a href="group_1.html#K8" title="GROUP_1:func.8">*</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><font color="Maroon" title="c10">g</font> <a href="mcart_1.html#K2" title="MCART_1:func.2">`2_3</a></span>)</span> <a href="algstr_0.html#K5" title="ALGSTR_0:func.5">-</a> <span class="p3">(<span class="default"><font color="Maroon" title="c11">h</font> <a href="mcart_1.html#K2" title="MCART_1:func.2">`2_3</a></span>)</span></span>)</span></span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="struct_0.html#K4" title="STRUCT_0:func.4">0.</a> <font color="Maroon" title="c1">F</font> &amp; <span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><font color="Maroon" title="c10">g</font> <a href="mcart_1.html#K1" title="MCART_1:func.1">`1_3</a></span>)</span> <a href="algstr_0.html#K5" title="ALGSTR_0:func.5">-</a> <span class="p3">(<span class="default"><font color="Maroon" title="c11">h</font> <a href="mcart_1.html#K1" title="MCART_1:func.1">`1_3</a></span>)</span></span>)</span> <a href="group_1.html#K8" title="GROUP_1:func.8">*</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><font color="Maroon" title="c14">k</font> <a href="mcart_1.html#K3" title="MCART_1:func.3">`3_3</a></span>)</span> <a href="algstr_0.html#K5" title="ALGSTR_0:func.5">-</a> <span class="p3">(<span class="default"><font color="Maroon" title="c15">l</font> <a href="mcart_1.html#K3" title="MCART_1:func.3">`3_3</a></span>)</span></span>)</span></span>)</span> <a href="algstr_0.html#K5" title="ALGSTR_0:func.5">-</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><font color="Maroon" title="c14">k</font> <a href="mcart_1.html#K1" title="MCART_1:func.1">`1_3</a></span>)</span> <a href="algstr_0.html#K5" title="ALGSTR_0:func.5">-</a> <span class="p3">(<span class="default"><font color="Maroon" title="c15">l</font> <a href="mcart_1.html#K1" title="MCART_1:func.1">`1_3</a></span>)</span></span>)</span> <a href="group_1.html#K8" title="GROUP_1:func.8">*</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><font color="Maroon" title="c10">g</font> <a href="mcart_1.html#K3" title="MCART_1:func.3">`3_3</a></span>)</span> <a href="algstr_0.html#K5" title="ALGSTR_0:func.5">-</a> <span class="p3">(<span class="default"><font color="Maroon" title="c11">h</font> <a href="mcart_1.html#K3" title="MCART_1:func.3">`3_3</a></span>)</span></span>)</span></span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="struct_0.html#K4" title="STRUCT_0:func.4">0.</a> <font color="Maroon" title="c1">F</font> )</span><br/><div class="add"><span class="kw">hence </span><a NAME="E2:36_1_1_1_3"/>
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><font color="Maroon" title="c10">g</font> <a href="mcart_1.html#K2" title="MCART_1:func.2">`2_3</a></span>)</span> <a href="algstr_0.html#K5" title="ALGSTR_0:func.5">-</a> <span class="p3">(<span class="default"><font color="Maroon" title="c11">h</font> <a href="mcart_1.html#K2" title="MCART_1:func.2">`2_3</a></span>)</span></span>)</span> <a href="group_1.html#K8" title="GROUP_1:func.8">*</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><font color="Maroon" title="c14">k</font> <a href="mcart_1.html#K3" title="MCART_1:func.3">`3_3</a></span>)</span> <a href="algstr_0.html#K5" title="ALGSTR_0:func.5">-</a> <span class="p3">(<span class="default"><font color="Maroon" title="c15">l</font> <a href="mcart_1.html#K3" title="MCART_1:func.3">`3_3</a></span>)</span></span>)</span></span>)</span> <a href="algstr_0.html#K5" title="ALGSTR_0:func.5">-</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><font color="Maroon" title="c14">k</font> <a href="mcart_1.html#K2" title="MCART_1:func.2">`2_3</a></span>)</span> <a href="algstr_0.html#K5" title="ALGSTR_0:func.5">-</a> <span class="p3">(<span class="default"><font color="Maroon" title="c15">l</font> <a href="mcart_1.html#K2" title="MCART_1:func.2">`2_3</a></span>)</span></span>)</span> <a href="group_1.html#K8" title="GROUP_1:func.8">*</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><font color="Maroon" title="c10">g</font> <a href="mcart_1.html#K3" title="MCART_1:func.3">`3_3</a></span>)</span> <a href="algstr_0.html#K5" title="ALGSTR_0:func.5">-</a> <span class="p3">(<span class="default"><font color="Maroon" title="c11">h</font> <a href="mcart_1.html#K3" title="MCART_1:func.3">`3_3</a></span>)</span></span>)</span></span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="struct_0.html#K4" title="STRUCT_0:func.4">0.</a> <font color="Maroon" title="c1">F</font>
 <span class="kw">by</span> <span class="lab"><a class="txt" href="#E5:36"><span class="lab"><font color="Green" title="E29">A4</font></span></a>, <a class="txt" href="#E8:36"><span class="lab"><font color="Green" title="E31">A6</font></span></a>, <a class="txt" href="#E11:36"><span class="lab"><font color="Green" title="E34">A9</font></span></a>, <a class="txt" href="#E9:36"><span class="lab"><font color="Green" title="E32">A7</font></span></a>, <a class="txt" href="parsp_1.html#E6"><span class="lab"><font color="Green" title="E6">Lm6</font></span></a></span>; <a class="txt" onmouseover="tooltip.show('hs',this)" onmouseout="tooltip.hide()" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide"> ( <span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><font color="Maroon" title="c10">g</font> <a href="mcart_1.html#K1" title="MCART_1:func.1">`1_3</a></span>)</span> <a href="algstr_0.html#K5" title="ALGSTR_0:func.5">-</a> <span class="p3">(<span class="default"><font color="Maroon" title="c11">h</font> <a href="mcart_1.html#K1" title="MCART_1:func.1">`1_3</a></span>)</span></span>)</span> <a href="group_1.html#K8" title="GROUP_1:func.8">*</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><font color="Maroon" title="c14">k</font> <a href="mcart_1.html#K2" title="MCART_1:func.2">`2_3</a></span>)</span> <a href="algstr_0.html#K5" title="ALGSTR_0:func.5">-</a> <span class="p3">(<span class="default"><font color="Maroon" title="c15">l</font> <a href="mcart_1.html#K2" title="MCART_1:func.2">`2_3</a></span>)</span></span>)</span></span>)</span> <a href="algstr_0.html#K5" title="ALGSTR_0:func.5">-</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><font color="Maroon" title="c14">k</font> <a href="mcart_1.html#K1" title="MCART_1:func.1">`1_3</a></span>)</span> <a href="algstr_0.html#K5" title="ALGSTR_0:func.5">-</a> <span class="p3">(<span class="default"><font color="Maroon" title="c15">l</font> <a href="mcart_1.html#K1" title="MCART_1:func.1">`1_3</a></span>)</span></span>)</span> <a href="group_1.html#K8" title="GROUP_1:func.8">*</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><font color="Maroon" title="c10">g</font> <a href="mcart_1.html#K2" title="MCART_1:func.2">`2_3</a></span>)</span> <a href="algstr_0.html#K5" title="ALGSTR_0:func.5">-</a> <span class="p3">(<span class="default"><font color="Maroon" title="c11">h</font> <a href="mcart_1.html#K2" title="MCART_1:func.2">`2_3</a></span>)</span></span>)</span></span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="struct_0.html#K4" title="STRUCT_0:func.4">0.</a> <font color="Maroon" title="c1">F</font> &amp; <span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><font color="Maroon" title="c10">g</font> <a href="mcart_1.html#K1" title="MCART_1:func.1">`1_3</a></span>)</span> <a href="algstr_0.html#K5" title="ALGSTR_0:func.5">-</a> <span class="p3">(<span class="default"><font color="Maroon" title="c11">h</font> <a href="mcart_1.html#K1" title="MCART_1:func.1">`1_3</a></span>)</span></span>)</span> <a href="group_1.html#K8" title="GROUP_1:func.8">*</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><font color="Maroon" title="c14">k</font> <a href="mcart_1.html#K3" title="MCART_1:func.3">`3_3</a></span>)</span> <a href="algstr_0.html#K5" title="ALGSTR_0:func.5">-</a> <span class="p3">(<span class="default"><font color="Maroon" title="c15">l</font> <a href="mcart_1.html#K3" title="MCART_1:func.3">`3_3</a></span>)</span></span>)</span></span>)</span> <a href="algstr_0.html#K5" title="ALGSTR_0:func.5">-</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><font color="Maroon" title="c14">k</font> <a href="mcart_1.html#K1" title="MCART_1:func.1">`1_3</a></span>)</span> <a href="algstr_0.html#K5" title="ALGSTR_0:func.5">-</a> <span class="p3">(<span class="default"><font color="Maroon" title="c15">l</font> <a href="mcart_1.html#K1" title="MCART_1:func.1">`1_3</a></span>)</span></span>)</span> <a href="group_1.html#K8" title="GROUP_1:func.8">*</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><font color="Maroon" title="c10">g</font> <a href="mcart_1.html#K3" title="MCART_1:func.3">`3_3</a></span>)</span> <a href="algstr_0.html#K5" title="ALGSTR_0:func.5">-</a> <span class="p3">(<span class="default"><font color="Maroon" title="c11">h</font> <a href="mcart_1.html#K3" title="MCART_1:func.3">`3_3</a></span>)</span></span>)</span></span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="struct_0.html#K4" title="STRUCT_0:func.4">0.</a> <font color="Maroon" title="c1">F</font> )</span><br/><a NAME="E3:36_1_1_1_3"/><span class="lab"><font color="Green" title="E40">A18</font></span>: 
( <span class="p1">(<span class="default"><span class="p2">(<span class="default"><font color="Maroon" title="c10">g</font> <a href="mcart_1.html#K1" title="MCART_1:func.1">`1_3</a></span>)</span> <a href="algstr_0.html#K5" title="ALGSTR_0:func.5">-</a> <span class="p2">(<span class="default"><font color="Maroon" title="c11">h</font> <a href="mcart_1.html#K1" title="MCART_1:func.1">`1_3</a></span>)</span></span>)</span> <a href="group_1.html#K8" title="GROUP_1:func.8">*</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><font color="Maroon" title="c14">k</font> <a href="mcart_1.html#K2" title="MCART_1:func.2">`2_3</a></span>)</span> <a href="algstr_0.html#K5" title="ALGSTR_0:func.5">-</a> <span class="p2">(<span class="default"><font color="Maroon" title="c15">l</font> <a href="mcart_1.html#K2" title="MCART_1:func.2">`2_3</a></span>)</span></span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.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"><font color="Maroon" title="c10">g</font> <a href="mcart_1.html#K3" title="MCART_1:func.3">`3_3</a></span>)</span> <a href="algstr_0.html#K5" title="ALGSTR_0:func.5">-</a> <span class="p4">(<span class="default"><font color="Maroon" title="c11">h</font> <a href="mcart_1.html#K3" title="MCART_1:func.3">`3_3</a></span>)</span></span>)</span> <a href="group_1.html#K8" title="GROUP_1:func.8">*</a> <span class="p3">(<span class="default"><span class="p4">(<span class="default"><font color="Maroon" title="c8">e</font> <a href="mcart_1.html#K1" title="MCART_1:func.1">`1_3</a></span>)</span> <a href="algstr_0.html#K5" title="ALGSTR_0:func.5">-</a> <span class="p4">(<span class="default"><font color="Maroon" title="c9">f</font> <a href="mcart_1.html#K1" title="MCART_1:func.1">`1_3</a></span>)</span></span>)</span></span>)</span> <a href="group_1.html#K8" title="GROUP_1:func.8">*</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><font color="Maroon" title="c8">e</font> <a href="mcart_1.html#K3" title="MCART_1:func.3">`3_3</a></span>)</span> <a href="algstr_0.html#K5" title="ALGSTR_0:func.5">-</a> <span class="p4">(<span class="default"><font color="Maroon" title="c9">f</font> <a href="mcart_1.html#K3" title="MCART_1:func.3">`3_3</a></span>)</span></span>)</span> <a href="algstr_0.html#K9" title="ALGSTR_0:func.9">"</a></span>)</span></span>)</span> <a href="group_1.html#K8" title="GROUP_1:func.8">*</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><font color="Maroon" title="c14">k</font> <a href="mcart_1.html#K2" title="MCART_1:func.2">`2_3</a></span>)</span> <a href="algstr_0.html#K5" title="ALGSTR_0:func.5">-</a> <span class="p2">(<span class="default"><font color="Maroon" title="c15">l</font> <a href="mcart_1.html#K2" title="MCART_1:func.2">`2_3</a></span>)</span></span>)</span> &amp; <span class="p1">(<span class="default"><span class="p2">(<span class="default"><font color="Maroon" title="c14">k</font> <a href="mcart_1.html#K1" title="MCART_1:func.1">`1_3</a></span>)</span> <a href="algstr_0.html#K5" title="ALGSTR_0:func.5">-</a> <span class="p2">(<span class="default"><font color="Maroon" title="c15">l</font> <a href="mcart_1.html#K1" title="MCART_1:func.1">`1_3</a></span>)</span></span>)</span> <a href="group_1.html#K8" title="GROUP_1:func.8">*</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><font color="Maroon" title="c10">g</font> <a href="mcart_1.html#K2" title="MCART_1:func.2">`2_3</a></span>)</span> <a href="algstr_0.html#K5" title="ALGSTR_0:func.5">-</a> <span class="p2">(<span class="default"><font color="Maroon" title="c11">h</font> <a href="mcart_1.html#K2" title="MCART_1:func.2">`2_3</a></span>)</span></span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.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"><font color="Maroon" title="c14">k</font> <a href="mcart_1.html#K3" title="MCART_1:func.3">`3_3</a></span>)</span> <a href="algstr_0.html#K5" title="ALGSTR_0:func.5">-</a> <span class="p4">(<span class="default"><font color="Maroon" title="c15">l</font> <a href="mcart_1.html#K3" title="MCART_1:func.3">`3_3</a></span>)</span></span>)</span> <a href="group_1.html#K8" title="GROUP_1:func.8">*</a> <span class="p3">(<span class="default"><span class="p4">(<span class="default"><font color="Maroon" title="c8">e</font> <a href="mcart_1.html#K1" title="MCART_1:func.1">`1_3</a></span>)</span> <a href="algstr_0.html#K5" title="ALGSTR_0:func.5">-</a> <span class="p4">(<span class="default"><font color="Maroon" title="c9">f</font> <a href="mcart_1.html#K1" title="MCART_1:func.1">`1_3</a></span>)</span></span>)</span></span>)</span> <a href="group_1.html#K8" title="GROUP_1:func.8">*</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><font color="Maroon" title="c8">e</font> <a href="mcart_1.html#K3" title="MCART_1:func.3">`3_3</a></span>)</span> <a href="algstr_0.html#K5" title="ALGSTR_0:func.5">-</a> <span class="p4">(<span class="default"><font color="Maroon" title="c9">f</font> <a href="mcart_1.html#K3" title="MCART_1:func.3">`3_3</a></span>)</span></span>)</span> <a href="algstr_0.html#K9" title="ALGSTR_0:func.9">"</a></span>)</span></span>)</span> <a href="group_1.html#K8" title="GROUP_1:func.8">*</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><font color="Maroon" title="c10">g</font> <a href="mcart_1.html#K2" title="MCART_1:func.2">`2_3</a></span>)</span> <a href="algstr_0.html#K5" title="ALGSTR_0:func.5">-</a> <span class="p2">(<span class="default"><font color="Maroon" title="c11">h</font> <a href="mcart_1.html#K2" title="MCART_1:func.2">`2_3</a></span>)</span></span>)</span> )
 <span class="kw">by</span> <span class="lab"><a class="txt" href="#E5:36"><span class="lab"><font color="Green" title="E29">A4</font></span></a>, <a class="txt" href="#E8:36"><span class="lab"><font color="Green" title="E31">A6</font></span></a>, <a class="txt" href="#E11:36"><span class="lab"><font color="Green" title="E34">A9</font></span></a>, <a class="txt" href="#E9:36"><span class="lab"><font color="Green" title="E32">A7</font></span></a>, <a class="txt" href="#E1:36_1_1_1_3"><span class="lab"><font color="Green" title="E39">A17</font></span></a>, <a class="ref" href="vectsp_1.html#T30" onmouseover="rs('vectsp_1/T30')" onmouseout="rh()">VECTSP_1:30</a></span>;<br/><a NAME="E4:36_1_1_1_3"/>
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><font color="Maroon" title="c10">g</font> <a href="mcart_1.html#K3" title="MCART_1:func.3">`3_3</a></span>)</span> <a href="algstr_0.html#K5" title="ALGSTR_0:func.5">-</a> <span class="p3">(<span class="default"><font color="Maroon" title="c11">h</font> <a href="mcart_1.html#K3" title="MCART_1:func.3">`3_3</a></span>)</span></span>)</span> <a href="group_1.html#K8" title="GROUP_1:func.8">*</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><font color="Maroon" title="c14">k</font> <a href="mcart_1.html#K2" title="MCART_1:func.2">`2_3</a></span>)</span> <a href="algstr_0.html#K5" title="ALGSTR_0:func.5">-</a> <span class="p3">(<span class="default"><font color="Maroon" title="c15">l</font> <a href="mcart_1.html#K2" title="MCART_1:func.2">`2_3</a></span>)</span></span>)</span></span>)</span> <a href="algstr_0.html#K5" title="ALGSTR_0:func.5">-</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><font color="Maroon" title="c14">k</font> <a href="mcart_1.html#K3" title="MCART_1:func.3">`3_3</a></span>)</span> <a href="algstr_0.html#K5" title="ALGSTR_0:func.5">-</a> <span class="p3">(<span class="default"><font color="Maroon" title="c15">l</font> <a href="mcart_1.html#K3" title="MCART_1:func.3">`3_3</a></span>)</span></span>)</span> <a href="group_1.html#K8" title="GROUP_1:func.8">*</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><font color="Maroon" title="c10">g</font> <a href="mcart_1.html#K2" title="MCART_1:func.2">`2_3</a></span>)</span> <a href="algstr_0.html#K5" title="ALGSTR_0:func.5">-</a> <span class="p3">(<span class="default"><font color="Maroon" title="c11">h</font> <a href="mcart_1.html#K2" title="MCART_1:func.2">`2_3</a></span>)</span></span>)</span></span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="struct_0.html#K4" title="STRUCT_0:func.4">0.</a> <font color="Maroon" title="c1">F</font>
 <span class="kw">by</span> <span class="lab"><a class="txt" href="#E5:36"><span class="lab"><font color="Green" title="E29">A4</font></span></a>, <a class="txt" href="#E8:36"><span class="lab"><font color="Green" title="E31">A6</font></span></a>, <a class="txt" href="#E11:36"><span class="lab"><font color="Green" title="E34">A9</font></span></a>, <a class="txt" href="#E9:36"><span class="lab"><font color="Green" title="E32">A7</font></span></a>, <a class="txt" href="#E1:36_1_1_1_3"><span class="lab"><font color="Green" title="E39">A17</font></span></a>, <a class="txt" href="parsp_1.html#E6"><span class="lab"><font color="Green" title="E6">Lm6</font></span></a></span>;<br/><span class="kw">hence </span><a NAME="E5:36_1_1_1_3"/>
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><font color="Maroon" title="c10">g</font> <a href="mcart_1.html#K1" title="MCART_1:func.1">`1_3</a></span>)</span> <a href="algstr_0.html#K5" title="ALGSTR_0:func.5">-</a> <span class="p3">(<span class="default"><font color="Maroon" title="c11">h</font> <a href="mcart_1.html#K1" title="MCART_1:func.1">`1_3</a></span>)</span></span>)</span> <a href="group_1.html#K8" title="GROUP_1:func.8">*</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><font color="Maroon" title="c14">k</font> <a href="mcart_1.html#K2" title="MCART_1:func.2">`2_3</a></span>)</span> <a href="algstr_0.html#K5" title="ALGSTR_0:func.5">-</a> <span class="p3">(<span class="default"><font color="Maroon" title="c15">l</font> <a href="mcart_1.html#K2" title="MCART_1:func.2">`2_3</a></span>)</span></span>)</span></span>)</span> <a href="algstr_0.html#K5" title="ALGSTR_0:func.5">-</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><font color="Maroon" title="c14">k</font> <a href="mcart_1.html#K1" title="MCART_1:func.1">`1_3</a></span>)</span> <a href="algstr_0.html#K5" title="ALGSTR_0:func.5">-</a> <span class="p3">(<span class="default"><font color="Maroon" title="c15">l</font> <a href="mcart_1.html#K1" title="MCART_1:func.1">`1_3</a></span>)</span></span>)</span> <a href="group_1.html#K8" title="GROUP_1:func.8">*</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><font color="Maroon" title="c10">g</font> <a href="mcart_1.html#K2" title="MCART_1:func.2">`2_3</a></span>)</span> <a href="algstr_0.html#K5" title="ALGSTR_0:func.5">-</a> <span class="p3">(<span class="default"><font color="Maroon" title="c11">h</font> <a href="mcart_1.html#K2" title="MCART_1:func.2">`2_3</a></span>)</span></span>)</span></span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="struct_0.html#K4" title="STRUCT_0:func.4">0.</a> <font color="Maroon" title="c1">F</font>
 <span class="kw">by</span> <span class="lab"><a class="txt" href="#E3:36_1_1_1_3"><span class="lab"><font color="Green" title="E40">A18</font></span></a>, <a class="txt" href="parsp_1.html#E8"><span class="lab"><font color="Green" title="E8">Lm8</font></span></a></span>; <a class="txt" onmouseover="tooltip.show('hs',this)" onmouseout="tooltip.hide()" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide"> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><font color="Maroon" title="c10">g</font> <a href="mcart_1.html#K1" title="MCART_1:func.1">`1_3</a></span>)</span> <a href="algstr_0.html#K5" title="ALGSTR_0:func.5">-</a> <span class="p3">(<span class="default"><font color="Maroon" title="c11">h</font> <a href="mcart_1.html#K1" title="MCART_1:func.1">`1_3</a></span>)</span></span>)</span> <a href="group_1.html#K8" title="GROUP_1:func.8">*</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><font color="Maroon" title="c14">k</font> <a href="mcart_1.html#K3" title="MCART_1:func.3">`3_3</a></span>)</span> <a href="algstr_0.html#K5" title="ALGSTR_0:func.5">-</a> <span class="p3">(<span class="default"><font color="Maroon" title="c15">l</font> <a href="mcart_1.html#K3" title="MCART_1:func.3">`3_3</a></span>)</span></span>)</span></span>)</span> <a href="algstr_0.html#K5" title="ALGSTR_0:func.5">-</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><font color="Maroon" title="c14">k</font> <a href="mcart_1.html#K1" title="MCART_1:func.1">`1_3</a></span>)</span> <a href="algstr_0.html#K5" title="ALGSTR_0:func.5">-</a> <span class="p3">(<span class="default"><font color="Maroon" title="c15">l</font> <a href="mcart_1.html#K1" title="MCART_1:func.1">`1_3</a></span>)</span></span>)</span> <a href="group_1.html#K8" title="GROUP_1:func.8">*</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><font color="Maroon" title="c10">g</font> <a href="mcart_1.html#K3" title="MCART_1:func.3">`3_3</a></span>)</span> <a href="algstr_0.html#K5" title="ALGSTR_0:func.5">-</a> <span class="p3">(<span class="default"><font color="Maroon" title="c11">h</font> <a href="mcart_1.html#K3" title="MCART_1:func.3">`3_3</a></span>)</span></span>)</span></span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="struct_0.html#K4" title="STRUCT_0:func.4">0.</a> <font color="Maroon" title="c1">F</font></span><br/><span class="kw">thus </span><a NAME="E6:36_1_1_1_3"/>
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><font color="Maroon" title="c10">g</font> <a href="mcart_1.html#K1" title="MCART_1:func.1">`1_3</a></span>)</span> <a href="algstr_0.html#K5" title="ALGSTR_0:func.5">-</a> <span class="p3">(<span class="default"><font color="Maroon" title="c11">h</font> <a href="mcart_1.html#K1" title="MCART_1:func.1">`1_3</a></span>)</span></span>)</span> <a href="group_1.html#K8" title="GROUP_1:func.8">*</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><font color="Maroon" title="c14">k</font> <a href="mcart_1.html#K3" title="MCART_1:func.3">`3_3</a></span>)</span> <a href="algstr_0.html#K5" title="ALGSTR_0:func.5">-</a> <span class="p3">(<span class="default"><font color="Maroon" title="c15">l</font> <a href="mcart_1.html#K3" title="MCART_1:func.3">`3_3</a></span>)</span></span>)</span></span>)</span> <a href="algstr_0.html#K5" title="ALGSTR_0:func.5">-</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><font color="Maroon" title="c14">k</font> <a href="mcart_1.html#K1" title="MCART_1:func.1">`1_3</a></span>)</span> <a href="algstr_0.html#K5" title="ALGSTR_0:func.5">-</a> <span class="p3">(<span class="default"><font color="Maroon" title="c15">l</font> <a href="mcart_1.html#K1" title="MCART_1:func.1">`1_3</a></span>)</span></span>)</span> <a href="group_1.html#K8" title="GROUP_1:func.8">*</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><font color="Maroon" title="c10">g</font> <a href="mcart_1.html#K3" title="MCART_1:func.3">`3_3</a></span>)</span> <a href="algstr_0.html#K5" title="ALGSTR_0:func.5">-</a> <span class="p3">(<span class="default"><font color="Maroon" title="c11">h</font> <a href="mcart_1.html#K3" title="MCART_1:func.3">`3_3</a></span>)</span></span>)</span></span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="struct_0.html#K4" title="STRUCT_0:func.4">0.</a> <font color="Maroon" title="c1">F</font>
 <span class="kw">by</span> <span class="lab"><a class="txt" href="#E5:36"><span class="lab"><font color="Green" title="E29">A4</font></span></a>, <a class="txt" href="#E8:36"><span class="lab"><font color="Green" title="E31">A6</font></span></a>, <a class="txt" href="#E11:36"><span class="lab"><font color="Green" title="E34">A9</font></span></a>, <a class="txt" href="#E9:36"><span class="lab"><font color="Green" title="E32">A7</font></span></a>, <a class="txt" href="#E1:36_1_1_1_3"><span class="lab"><font color="Green" title="E39">A17</font></span></a>, <a class="txt" href="parsp_1.html#E6"><span class="lab"><font color="Green" title="E6">Lm6</font></span></a></span>; <a class="txt" onmouseover="tooltip.show('hs',this)" onmouseout="tooltip.hide()" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide"> verum</span><br/></div><span class="kw">end;</span></div></div><span class="kw">end;</span></div></div><span class="kw">end;</span></div><span class="kw">hence </span><a NAME="E3:36_1"/>
 ex <font color="Olive" title="b1">g</font>, <font color="Olive" title="b2">h</font>, <font color="Olive" title="b3">k</font>, <font color="Olive" title="b4">l</font> being    <a href="subset_1.html#M1" title="SUBSET_1:mode.1">Element</a> of <span class="p1"><a href="zfmisc_1.html#K3" title="ZFMISC_1:func.3">[:</a><span class="default"> the <a href="struct_0.html#U1" title="STRUCT_0:sel.1">carrier</a> of <font color="Maroon" title="c1">F</font>, the <a href="struct_0.html#U1" title="STRUCT_0:sel.1">carrier</a> of <font color="Maroon" title="c1">F</font>, the <a href="struct_0.html#U1" title="STRUCT_0:sel.1">carrier</a> of <font color="Maroon" title="c1">F</font></span><a href="zfmisc_1.html#K3" title="ZFMISC_1:func.3">:]</a></span> st <br/>( <span class="p1"><a href="domain_1.html#K1" title="DOMAIN_1:func.1">[</a><span class="default"><span class="p2"><a href="domain_1.html#K1" title="DOMAIN_1:func.1">[</a><span class="default"><font color="Olive" title="b1">g</font>,<font color="Olive" title="b2">h</font></span><a href="domain_1.html#K1" title="DOMAIN_1:func.1">]</a></span>,<span class="p2"><a href="domain_1.html#K1" title="DOMAIN_1:func.1">[</a><span class="default"><font color="Olive" title="b3">k</font>,<font color="Olive" title="b4">l</font></span><a href="domain_1.html#K1" title="DOMAIN_1:func.1">]</a></span></span><a href="domain_1.html#K1" title="DOMAIN_1:func.1">]</a></span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1"><a href="domain_1.html#K1" title="DOMAIN_1:func.1">[</a><span class="default"><span class="p2"><a href="domain_1.html#K1" title="DOMAIN_1:func.1">[</a><span class="default"><font color="Maroon" title="c4">p</font>,<font color="Maroon" title="c5">q</font></span><a href="domain_1.html#K1" title="DOMAIN_1:func.1">]</a></span>,<span class="p2"><a href="domain_1.html#K1" title="DOMAIN_1:func.1">[</a><span class="default"><font color="Maroon" title="c6">r</font>,<font color="Maroon" title="c7">s</font></span><a href="domain_1.html#K1" title="DOMAIN_1:func.1">]</a></span></span><a href="domain_1.html#K1" title="DOMAIN_1:func.1">]</a></span> &amp; <font color="Maroon">S<sub>1</sub></font>[<font color="Olive" title="b1">g</font>,<font color="Olive" title="b2">h</font>,<font color="Olive" title="b3">k</font>,<font color="Olive" title="b4">l</font>] )
 <span class="kw">by</span> <span class="lab"><a class="txt" href="#E12:36"><span class="lab"><font color="Green" title="E35">A10</font></span></a>, <a class="txt" href="#E10:36"><span class="lab"><font color="Green" title="E33">A8</font></span></a></span>; <a class="txt" onmouseover="tooltip.show('hs',this)" onmouseout="tooltip.hide()" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide"> verum</span><br/></div><span class="kw">end;</span></div>
<span class="kw">hence </span><a NAME="E14:36"/>
( <font color="Maroon" title="c4">p</font>,<font color="Maroon" title="c5">q</font> <a href="parsp_1.html#R1" title="PARSP_1:pred.1">'||'</a> <font color="Maroon" title="c6">r</font>,<font color="Maroon" title="c7">s</font> or <font color="Maroon" title="c2">a</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c3">b</font> )
 <span class="kw">by</span> <span class="lab"><a class="ref" href="parsp_1.html#T12" target="_self" onmouseover="rs('parsp_1/T12')" onmouseout="rh()">Th12</a></span>; <a class="txt" onmouseover="tooltip.show('hs',this)" onmouseout="tooltip.hide()" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide"> verum</span><br/>


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