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

<b>let </b><font color="Maroon" title="c1">F</font> be   <a href="vectsp_1.html#NM3" title="VECTSP_1:NM.3">Field</a>;<br/><b>let </b><font color="Maroon" title="c2">V</font> be   <a href="vectsp_1.html#NM7" title="VECTSP_1:NM.7">VectSp</a> of <font color="Maroon" title="c1">F</font>;<br/><b>let </b><font color="Maroon" title="c3">A</font>, <font color="Maroon" title="c4">B</font> be   <a href="struct_0.html#NM2" title="STRUCT_0:NM.2">Subset</a> of <font color="Maroon" title="c2">V</font>;<br/><b>let </b><font color="Maroon" title="c5">l</font> be    <a href="vectsp_6.html#M2" title="VECTSP_6:mode.2">Linear_Combination</a> of <font color="Maroon" title="c4">B</font>;<br/>







<b>assume </b><a NAME="E1:38"/><i><font color="Green" title="E26">A1</font></i>: 
<font color="Maroon" title="c3">A</font> <a href="tarski.html#R1" title="TARSKI:pred.1">c=</a> <font color="Maroon" title="c4">B</font>
 ;<br/>

<b>set </b><font color="Maroon" title="c6">r</font> = <span class="p1">(<span class="default"><font color="Maroon" title="c5">l</font> <a href="ranknull.html#K6" title="RANKNULL:func.6">!</a> <font color="Maroon" title="c3">A</font></span>)</span> <a href="vectsp_6.html#K5" title="VECTSP_6:func.5">+</a> <span class="p1">(<span class="default"><font color="Maroon" title="c5">l</font> <a href="ranknull.html#K6" title="RANKNULL:func.6">!</a> <span class="p2">(<span class="default"><font color="Maroon" title="c4">B</font> <a href="subset_1.html#K7" title="SUBSET_1:func.7">\</a> <font color="Maroon" title="c3">A</font></span>)</span></span>)</span>;<br/>
<b>let </b><font color="Maroon" title="c7">v</font> be   <a href="struct_0.html#NM1" title="STRUCT_0:NM.1">Element</a> of <font color="Maroon" title="c2">V</font>; <i><font color="Red">:: according to </font></i><a class="ref" href="funct_2.html#D9" title="FUNCT_2:def.9">FUNCT_2:def 9</a><br/>

<a NAME="E2:38"/><i><font color="Green" title="E27">A2</font></i>: 
(  not <font color="Maroon" title="c7">v</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a> <font color="Maroon" title="c4">B</font> or <font color="Maroon" title="c7">v</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a> <font color="Maroon" title="c3">A</font> or <font color="Maroon" title="c7">v</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a> <font color="Maroon" title="c4">B</font> <a href="subset_1.html#K7" title="SUBSET_1:func.7">\</a> <font color="Maroon" title="c3">A</font> )
 
<div><a class="txt" onclick="hs2(this)" href="javascript:()" title="38_1"><b>proof </b></a><div class="add">

<b>assume </b><a NAME="E1:38_1"/><i><font color="Green" title="E28">A3</font></i>: 
<font color="Maroon" title="c7">v</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a> <font color="Maroon" title="c4">B</font>
 ;<br/>

<a NAME="E2:38_1"/>
<font color="Maroon" title="c4">B</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c3">A</font> <a href="subset_1.html#K4" title="SUBSET_1:func.4">\/</a> <span class="p1">(<span class="default"><font color="Maroon" title="c4">B</font> <a href="subset_1.html#K7" title="SUBSET_1:func.7">\</a> <font color="Maroon" title="c3">A</font></span>)</span>
 
<b>by </b><i><a class="txt" href="ranknull.html#E1:38"><i><font color="Green" title="E26">A1</font></i></a>, <a class="ref" href="xboole_1.html#T45" title="XBOOLE_1:th.45">XBOOLE_1:45</a></i>;<br/>
<b>hence </b><a NAME="E3:38_1"/>
( <font color="Maroon" title="c7">v</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a> <font color="Maroon" title="c3">A</font> or <font color="Maroon" title="c7">v</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a> <font color="Maroon" title="c4">B</font> <a href="subset_1.html#K7" title="SUBSET_1:func.7">\</a> <font color="Maroon" title="c3">A</font> )
 <b>by </b><i><a class="txt" href="ranknull.html#E1:38_1"><i><font color="Green" title="E28">A3</font></i></a>, <a class="ref" href="xboole_0.html#D2" title="XBOOLE_0:def.2">XBOOLE_0:def 2</a></i>;<br/>


</div><b>end;</b></div>
<div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="38_2"><b>per </b></a><a class="txt" onclick="hs(this)" href="javascript:()"><b>cases </b></a><span class="hide"><a NAME="E1:38_2"/>
( <font color="Maroon" title="c7">v</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a> <font color="Maroon" title="c3">A</font> or <font color="Maroon" title="c7">v</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a> <font color="Maroon" title="c4">B</font> <a href="subset_1.html#K7" title="SUBSET_1:func.7">\</a> <font color="Maroon" title="c3">A</font> or  not <font color="Maroon" title="c7">v</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a> <font color="Maroon" title="c4">B</font> )
 </span><b>by </b><i><a class="txt" href="ranknull.html#E2:38"><i><font color="Green" title="E27">A2</font></i></a></i>;<br/><div class="add"><div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="38_2_1"><b>suppose </b></a><a NAME="E1:38_2_1"/><i><font color="Green" title="E28">A4</font></i>: 
<font color="Maroon" title="c7">v</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a> <font color="Maroon" title="c3">A</font>
 ;<br/><div class="add"><a NAME="E2:38_2_1"/><i><font color="Green" title="E29">A5</font></i>: 
not <font color="Maroon" title="c7">v</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a> <font color="Maroon" title="c4">B</font> <a href="subset_1.html#K7" title="SUBSET_1:func.7">\</a> <font color="Maroon" title="c3">A</font>
 <b>by </b><i><a class="txt" href="ranknull.html#E1:38_2_1"><i><font color="Green" title="E28">A4</font></i></a>, <a class="ref" href="xboole_0.html#D4" title="XBOOLE_0:def.4">XBOOLE_0:def 4</a></i>;<br/><a NAME="E3:38_2_1"/><i><font color="Green" title="E30">A6</font></i>: 
<span class="p1">(<span class="default"><font color="Maroon" title="c5">l</font> <a href="ranknull.html#K6" title="RANKNULL:func.6">!</a> <span class="p2">(<span class="default"><font color="Maroon" title="c4">B</font> <a href="subset_1.html#K7" title="SUBSET_1:func.7">\</a> <font color="Maroon" title="c3">A</font></span>)</span></span>)</span> <a href="funct_2.html#K3" title="FUNCT_2:func.3">.</a> <font color="Maroon" title="c7">v</font> <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>
 <b>by </b><i><a class="txt" href="ranknull.html#E2:38_2_1"><i><font color="Green" title="E29">A5</font></i></a>, <a class="ref" href="ranknull.html#T26" target="_self" title="RANKNULL:th.26">Th26</a></i>;<br/><a NAME="E4:38_2_1"/><i><font color="Green" title="E31">A7</font></i>: 
<span class="p1">(<span class="default"><font color="Maroon" title="c5">l</font> <a href="ranknull.html#K6" title="RANKNULL:func.6">!</a> <font color="Maroon" title="c3">A</font></span>)</span> <a href="funct_2.html#K3" title="FUNCT_2:func.3">.</a> <font color="Maroon" title="c7">v</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c5">l</font> <a href="funct_2.html#K3" title="FUNCT_2:func.3">.</a> <font color="Maroon" title="c7">v</font>
 <b>by </b><i><a class="txt" href="ranknull.html#E1:38_2_1"><i><font color="Green" title="E28">A4</font></i></a>, <a class="ref" href="ranknull.html#T25" target="_self" title="RANKNULL:th.25">Th25</a></i>;<br/><span class="p1">(<span class="default"><span class="p2">(<span class="default"><font color="Maroon" title="c5">l</font> <a href="ranknull.html#K6" title="RANKNULL:func.6">!</a> <font color="Maroon" title="c3">A</font></span>)</span> <a href="vectsp_6.html#K5" title="VECTSP_6:func.5">+</a> <span class="p2">(<span class="default"><font color="Maroon" title="c5">l</font> <a href="ranknull.html#K6" title="RANKNULL:func.6">!</a> <span class="p3">(<span class="default"><font color="Maroon" title="c4">B</font> <a href="subset_1.html#K7" title="SUBSET_1:func.7">\</a> <font color="Maroon" title="c3">A</font></span>)</span></span>)</span></span>)</span> <a href="funct_2.html#K3" title="FUNCT_2:func.3">.</a> <font color="Maroon" title="c7">v</font> = 
<span class="p1">(<span class="default"><font color="Maroon" title="c5">l</font> <a href="funct_2.html#K3" title="FUNCT_2:func.3">.</a> <font color="Maroon" title="c7">v</font></span>)</span> <a href="rlvect_1.html#K3" title="RLVECT_1:func.3">+</a> <span class="p1">(<span class="default"><a href="struct_0.html#K4" title="STRUCT_0:func.4">0.</a> <font color="Maroon" title="c1">F</font></span>)</span>
<b>by </b><i><a class="txt" href="ranknull.html#E3:38_2_1"><i><font color="Green" title="E30">A6</font></i></a>, <a class="txt" href="ranknull.html#E4:38_2_1"><i><font color="Green" title="E31">A7</font></i></a>, <a class="ref" href="vectsp_6.html#D11" title="VECTSP_6:def.11">VECTSP_6:def 11</a></i>
<br/>.= 
<font color="Maroon" title="c5">l</font> <a href="funct_2.html#K3" title="FUNCT_2:func.3">.</a> <font color="Maroon" title="c7">v</font>
<b>by </b><i><a class="ref" href="rlvect_1.html#T10" title="RLVECT_1:th.10">RLVECT_1:10</a></i>
;<br/><b>hence </b><a NAME="E6:38_2_1"/>
<font color="Maroon" title="c5">l</font> <a href="funct_2.html#K3" title="FUNCT_2:func.3">.</a> <font color="Maroon" title="c7">v</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><font color="Maroon" title="c5">l</font> <a href="ranknull.html#K6" title="RANKNULL:func.6">!</a> <font color="Maroon" title="c3">A</font></span>)</span> <a href="vectsp_6.html#K5" title="VECTSP_6:func.5">+</a> <span class="p2">(<span class="default"><font color="Maroon" title="c5">l</font> <a href="ranknull.html#K6" title="RANKNULL:func.6">!</a> <span class="p3">(<span class="default"><font color="Maroon" title="c4">B</font> <a href="subset_1.html#K7" title="SUBSET_1:func.7">\</a> <font color="Maroon" title="c3">A</font></span>)</span></span>)</span></span>)</span> <a href="funct_2.html#K3" title="FUNCT_2:func.3">.</a> <font color="Maroon" title="c7">v</font>
 ;<br/></div><b>end;</b></div><div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="38_2_2"><b>suppose </b></a><a NAME="E1:38_2_2"/><i><font color="Green" title="E28">A8</font></i>: 
<font color="Maroon" title="c7">v</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a> <font color="Maroon" title="c4">B</font> <a href="subset_1.html#K7" title="SUBSET_1:func.7">\</a> <font color="Maroon" title="c3">A</font>
 ;<br/><div class="add"><a NAME="E2:38_2_2"/><b>then </b>
not <font color="Maroon" title="c7">v</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a> <font color="Maroon" title="c3">A</font>
 <b>by </b><i><a class="ref" href="xboole_0.html#D4" title="XBOOLE_0:def.4">XBOOLE_0:def 4</a></i>;<br/><a NAME="E3:38_2_2"/><b>then </b><i><font color="Green" title="E29">A9</font></i>: 
<span class="p1">(<span class="default"><font color="Maroon" title="c5">l</font> <a href="ranknull.html#K6" title="RANKNULL:func.6">!</a> <font color="Maroon" title="c3">A</font></span>)</span> <a href="funct_2.html#K3" title="FUNCT_2:func.3">.</a> <font color="Maroon" title="c7">v</font> <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>
 <b>by </b><i><a class="ref" href="ranknull.html#T26" target="_self" title="RANKNULL:th.26">Th26</a></i>;<br/><a NAME="E4:38_2_2"/>
<span class="p1">(<span class="default"><font color="Maroon" title="c5">l</font> <a href="ranknull.html#K6" title="RANKNULL:func.6">!</a> <span class="p2">(<span class="default"><font color="Maroon" title="c4">B</font> <a href="subset_1.html#K7" title="SUBSET_1:func.7">\</a> <font color="Maroon" title="c3">A</font></span>)</span></span>)</span> <a href="funct_2.html#K3" title="FUNCT_2:func.3">.</a> <font color="Maroon" title="c7">v</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c5">l</font> <a href="funct_2.html#K3" title="FUNCT_2:func.3">.</a> <font color="Maroon" title="c7">v</font>
 <b>by </b><i><a class="txt" href="ranknull.html#E1:38_2_2"><i><font color="Green" title="E28">A8</font></i></a>, <a class="ref" href="ranknull.html#T25" target="_self" title="RANKNULL:th.25">Th25</a></i>;<br/><b>then </b><span class="p1">(<span class="default"><span class="p2">(<span class="default"><font color="Maroon" title="c5">l</font> <a href="ranknull.html#K6" title="RANKNULL:func.6">!</a> <font color="Maroon" title="c3">A</font></span>)</span> <a href="vectsp_6.html#K5" title="VECTSP_6:func.5">+</a> <span class="p2">(<span class="default"><font color="Maroon" title="c5">l</font> <a href="ranknull.html#K6" title="RANKNULL:func.6">!</a> <span class="p3">(<span class="default"><font color="Maroon" title="c4">B</font> <a href="subset_1.html#K7" title="SUBSET_1:func.7">\</a> <font color="Maroon" title="c3">A</font></span>)</span></span>)</span></span>)</span> <a href="funct_2.html#K3" title="FUNCT_2:func.3">.</a> <font color="Maroon" title="c7">v</font> = 
<span class="p1">(<span class="default"><a href="struct_0.html#K4" title="STRUCT_0:func.4">0.</a> <font color="Maroon" title="c1">F</font></span>)</span> <a href="rlvect_1.html#K3" title="RLVECT_1:func.3">+</a> <span class="p1">(<span class="default"><font color="Maroon" title="c5">l</font> <a href="funct_2.html#K3" title="FUNCT_2:func.3">.</a> <font color="Maroon" title="c7">v</font></span>)</span>
<b>by </b><i><a class="txt" href="ranknull.html#E3:38_2_2"><i><font color="Green" title="E29">A9</font></i></a>, <a class="ref" href="vectsp_6.html#D11" title="VECTSP_6:def.11">VECTSP_6:def 11</a></i>
<br/>.= 
<font color="Maroon" title="c5">l</font> <a href="funct_2.html#K3" title="FUNCT_2:func.3">.</a> <font color="Maroon" title="c7">v</font>
<b>by </b><i><a class="ref" href="rlvect_1.html#T10" title="RLVECT_1:th.10">RLVECT_1:10</a></i>
;<br/><b>hence </b><a NAME="E6:38_2_2"/>
<font color="Maroon" title="c5">l</font> <a href="funct_2.html#K3" title="FUNCT_2:func.3">.</a> <font color="Maroon" title="c7">v</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><font color="Maroon" title="c5">l</font> <a href="ranknull.html#K6" title="RANKNULL:func.6">!</a> <font color="Maroon" title="c3">A</font></span>)</span> <a href="vectsp_6.html#K5" title="VECTSP_6:func.5">+</a> <span class="p2">(<span class="default"><font color="Maroon" title="c5">l</font> <a href="ranknull.html#K6" title="RANKNULL:func.6">!</a> <span class="p3">(<span class="default"><font color="Maroon" title="c4">B</font> <a href="subset_1.html#K7" title="SUBSET_1:func.7">\</a> <font color="Maroon" title="c3">A</font></span>)</span></span>)</span></span>)</span> <a href="funct_2.html#K3" title="FUNCT_2:func.3">.</a> <font color="Maroon" title="c7">v</font>
 ;<br/></div><b>end;</b></div><div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="38_2_3"><b>suppose </b></a><a NAME="E1:38_2_3"/><i><font color="Green" title="E28">A10</font></i>: 
not <font color="Maroon" title="c7">v</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a> <font color="Maroon" title="c4">B</font>
 ;<br/><div class="add"><a NAME="E2:38_2_3"/><i><font color="Green" title="E29">A11</font></i>: 
not <font color="Maroon" title="c7">v</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a> <font color="Maroon" title="c4">B</font> <a href="subset_1.html#K7" title="SUBSET_1:func.7">\</a> <font color="Maroon" title="c3">A</font>
 <b>by </b><i><a class="txt" href="ranknull.html#E1:38_2_3"><i><font color="Green" title="E28">A10</font></i></a>, <a class="ref" href="xboole_0.html#D4" title="XBOOLE_0:def.4">XBOOLE_0:def 4</a></i>;<br/><a NAME="E3:38_2_3"/><i><font color="Green" title="E30">A12</font></i>: 
not <font color="Maroon" title="c7">v</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a> <font color="Maroon" title="c3">A</font>
 <b>by </b><i><a class="txt" href="ranknull.html#E1:38"><i><font color="Green" title="E26">A1</font></i></a>, <a class="txt" href="ranknull.html#E1:38_2_3"><i><font color="Green" title="E28">A10</font></i></a></i>;<br/><a NAME="E4:38_2_3"/><i><font color="Green" title="E31">A13</font></i>: 
<span class="p1">(<span class="default"><font color="Maroon" title="c5">l</font> <a href="ranknull.html#K6" title="RANKNULL:func.6">!</a> <font color="Maroon" title="c3">A</font></span>)</span> <a href="funct_2.html#K3" title="FUNCT_2:func.3">.</a> <font color="Maroon" title="c7">v</font> <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>
 <b>by </b><i><a class="txt" href="ranknull.html#E3:38_2_3"><i><font color="Green" title="E30">A12</font></i></a>, <a class="ref" href="ranknull.html#T26" target="_self" title="RANKNULL:th.26">Th26</a></i>;<br/><a NAME="E5:38_2_3"/><i><font color="Green" title="E32">A14</font></i>: 
<span class="p1">(<span class="default"><font color="Maroon" title="c5">l</font> <a href="ranknull.html#K6" title="RANKNULL:func.6">!</a> <span class="p2">(<span class="default"><font color="Maroon" title="c4">B</font> <a href="subset_1.html#K7" title="SUBSET_1:func.7">\</a> <font color="Maroon" title="c3">A</font></span>)</span></span>)</span> <a href="funct_2.html#K3" title="FUNCT_2:func.3">.</a> <font color="Maroon" title="c7">v</font> <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>
 <b>by </b><i><a class="txt" href="ranknull.html#E2:38_2_3"><i><font color="Green" title="E29">A11</font></i></a>, <a class="ref" href="ranknull.html#T26" target="_self" title="RANKNULL:th.26">Th26</a></i>;<br/><a NAME="E6:38_2_3"/><i><font color="Green" title="E33">A15</font></i>: 
 <a href="vectsp_6.html#K1" title="VECTSP_6:func.1">Carrier</a> <font color="Maroon" title="c5">l</font> <a href="tarski.html#R1" title="TARSKI:pred.1">c=</a> <font color="Maroon" title="c4">B</font>
 <b>by </b><i><a class="ref" href="vectsp_6.html#D7" title="VECTSP_6:def.7">VECTSP_6:def 7</a></i>;<br/><a NAME="E7:38_2_3"/><i><font color="Green" title="E34">A16</font></i>: 
not <font color="Maroon" title="c7">v</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a>  <a href="vectsp_6.html#K1" title="VECTSP_6:func.1">Carrier</a> <font color="Maroon" title="c5">l</font>
 <b>by </b><i><a class="txt" href="ranknull.html#E1:38_2_3"><i><font color="Green" title="E28">A10</font></i></a>, <a class="txt" href="ranknull.html#E6:38_2_3"><i><font color="Green" title="E33">A15</font></i></a></i>;<br/><span class="p1">(<span class="default"><span class="p2">(<span class="default"><font color="Maroon" title="c5">l</font> <a href="ranknull.html#K6" title="RANKNULL:func.6">!</a> <font color="Maroon" title="c3">A</font></span>)</span> <a href="vectsp_6.html#K5" title="VECTSP_6:func.5">+</a> <span class="p2">(<span class="default"><font color="Maroon" title="c5">l</font> <a href="ranknull.html#K6" title="RANKNULL:func.6">!</a> <span class="p3">(<span class="default"><font color="Maroon" title="c4">B</font> <a href="subset_1.html#K7" title="SUBSET_1:func.7">\</a> <font color="Maroon" title="c3">A</font></span>)</span></span>)</span></span>)</span> <a href="funct_2.html#K3" title="FUNCT_2:func.3">.</a> <font color="Maroon" title="c7">v</font> = 
<span class="p1">(<span class="default"><a href="struct_0.html#K4" title="STRUCT_0:func.4">0.</a> <font color="Maroon" title="c1">F</font></span>)</span> <a href="rlvect_1.html#K3" title="RLVECT_1:func.3">+</a> <span class="p1">(<span class="default"><a href="struct_0.html#K4" title="STRUCT_0:func.4">0.</a> <font color="Maroon" title="c1">F</font></span>)</span>
<b>by </b><i><a class="txt" href="ranknull.html#E4:38_2_3"><i><font color="Green" title="E31">A13</font></i></a>, <a class="txt" href="ranknull.html#E5:38_2_3"><i><font color="Green" title="E32">A14</font></i></a>, <a class="ref" href="vectsp_6.html#D11" title="VECTSP_6:def.11">VECTSP_6:def 11</a></i>
<br/>.= 
 <a href="struct_0.html#K4" title="STRUCT_0:func.4">0.</a> <font color="Maroon" title="c1">F</font>
<b>by </b><i><a class="ref" href="rlvect_1.html#T10" title="RLVECT_1:th.10">RLVECT_1:10</a></i>
;<br/><b>hence </b><a NAME="E9:38_2_3"/>
<font color="Maroon" title="c5">l</font> <a href="funct_2.html#K3" title="FUNCT_2:func.3">.</a> <font color="Maroon" title="c7">v</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><font color="Maroon" title="c5">l</font> <a href="ranknull.html#K6" title="RANKNULL:func.6">!</a> <font color="Maroon" title="c3">A</font></span>)</span> <a href="vectsp_6.html#K5" title="VECTSP_6:func.5">+</a> <span class="p2">(<span class="default"><font color="Maroon" title="c5">l</font> <a href="ranknull.html#K6" title="RANKNULL:func.6">!</a> <span class="p3">(<span class="default"><font color="Maroon" title="c4">B</font> <a href="subset_1.html#K7" title="SUBSET_1:func.7">\</a> <font color="Maroon" title="c3">A</font></span>)</span></span>)</span></span>)</span> <a href="funct_2.html#K3" title="FUNCT_2:func.3">.</a> <font color="Maroon" title="c7">v</font>
 <b>by </b><i><a class="txt" href="ranknull.html#E7:38_2_3"><i><font color="Green" title="E34">A16</font></i></a></i>;<br/></div><b>end;</b></div></div><b>end;</b></div>

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