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

<span class="kw">set </span><font color="Maroon" title="c4">V1</font> = <font color="Maroon" title="c3">a</font> <a href="zmodul02.html#K1" title="ZMODUL02:func.1">*</a> <font color="Maroon" title="c2">V</font>;<br/>
<span class="kw">set </span><font color="Maroon" title="c5">Z0</font> =  <a href="zmodul02.html#K2" title="ZMODUL02:func.2">Zero_</a> (<font color="Maroon" title="c3">a</font>,<font color="Maroon" title="c2">V</font>);<br/>
<span class="kw">set </span><font color="Maroon" title="c6">AV1</font> =  <a href="zmodul02.html#K3" title="ZMODUL02:func.3">Add_</a> (<font color="Maroon" title="c3">a</font>,<font color="Maroon" title="c2">V</font>);<br/>
<span class="kw">set </span><font color="Maroon" title="c7">MV1</font> =  <a href="zmodul02.html#K4" title="ZMODUL02:func.4">Mult_</a> (<font color="Maroon" title="c3">a</font>,<font color="Maroon" title="c2">V</font>);<br/>
<a NAME="E1:5_1_1"/>
(  <a href="zmodul02.html#K2" title="ZMODUL02:func.2">Zero_</a> (<font color="Maroon" title="c3">a</font>,<font color="Maroon" title="c2">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="c2">V</font> &amp;  <a href="zmodul02.html#K3" title="ZMODUL02:func.3">Add_</a> (<font color="Maroon" title="c3">a</font>,<font color="Maroon" title="c2">V</font>) <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  the <a href="algstr_0.html#U1" title="ALGSTR_0:sel.1">addF</a> of <font color="Maroon" title="c2">V</font> <a href="realset1.html#K1" title="REALSET1:func.1">||</a> <span class="p1">(<span class="default"><font color="Maroon" title="c3">a</font> <a href="zmodul02.html#K1" title="ZMODUL02:func.1">*</a> <font color="Maroon" title="c2">V</font></span>)</span> &amp;  <a href="zmodul02.html#K4" title="ZMODUL02:func.4">Mult_</a> (<font color="Maroon" title="c3">a</font>,<font color="Maroon" title="c2">V</font>) <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  the <a href="vectsp_1.html#U1" title="VECTSP_1:sel.1">lmult</a> of <font color="Maroon" title="c2">V</font> <a href="partfun1.html#K2" title="PARTFUN1:func.2">|</a> <span class="p1"><a href="zfmisc_1.html#K2" title="ZFMISC_1:func.2">[:</a><span class="default"> the <a href="struct_0.html#U1" title="STRUCT_0:sel.1">carrier</a> of <font color="Maroon" title="c1">R</font>,<span class="p2">(<span class="default"><font color="Maroon" title="c3">a</font> <a href="zmodul02.html#K1" title="ZMODUL02:func.1">*</a> <font color="Maroon" title="c2">V</font></span>)</span></span><a href="zfmisc_1.html#K2" title="ZFMISC_1:func.2">:]</a></span> )
 
;<br/>
<span class="kw">hence </span><a NAME="E2:5_1_1"/>
 <a href="vectsp_1.html#G1" title="VECTSP_1:aggr.1">ModuleStr</a>(# <span class="p1">(<span class="default"><font color="Maroon" title="c3">a</font> <a href="zmodul02.html#K1" title="ZMODUL02:func.1">*</a> <font color="Maroon" title="c2">V</font></span>)</span>,<span class="p1">(<span class="default"><a href="zmodul02.html#K3" title="ZMODUL02:func.3">Add_</a> (<font color="Maroon" title="c3">a</font>,<font color="Maroon" title="c2">V</font>)</span>)</span>,<span class="p1">(<span class="default"><a href="zmodul02.html#K2" title="ZMODUL02:func.2">Zero_</a> (<font color="Maroon" title="c3">a</font>,<font color="Maroon" title="c2">V</font>)</span>)</span>,<span class="p1">(<span class="default"><a href="zmodul02.html#K4" title="ZMODUL02:func.4">Mult_</a> (<font color="Maroon" title="c3">a</font>,<font color="Maroon" title="c2">V</font>)</span>)</span> #) is    <a href="vectsp_4.html#M1" title="VECTSP_4:mode.1">Subspace</a> of <font color="Maroon" title="c2">V</font>
 <span class="kw">by</span> <span class="lab"><a class="ref" href="zmodul01.html#T40" onmouseover="rs('zmodul01/T40')" onmouseout="rh()">ZMODUL01:40</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>
