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<span class="kw">let </span><font color="Maroon" title="c1">V</font> be   non  <a href="struct_0.html#V2" title="STRUCT_0:attr.2">empty</a>   <a href="clvect_1.html#L1" title="CLVECT_1:struct.1">CLSStruct</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">L</font> being    <a href="convex4.html#M1" title="CONVEX4:mode.1">C_Linear_Combination</a> of <font color="Maroon" title="c1">V</font> holds   <a href="algstr_0.html#K4" title="ALGSTR_0:func.4">-</a> <span class="p1">(<span class="default"><a href="rlvect_2.html#K1" title="RLVECT_2:func.1">vector</a> (<span class="p2">(<span class="default"><a href="convex4.html#K15" title="CONVEX4:func.15">LC_CLSpace</a> <font color="Maroon" title="c1">V</font></span>)</span>,<font color="Olive" title="b1">L</font>)</span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="convex4.html#K8" title="CONVEX4:func.8">-</a> <font color="Olive" title="b1">L</font></span><br/><span class="kw">let </span><font color="Maroon" title="c2">L</font> be    <a href="convex4.html#M1" title="CONVEX4:mode.1">C_Linear_Combination</a> of <font color="Maroon" title="c1">V</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">  <a href="algstr_0.html#K4" title="ALGSTR_0:func.4">-</a> <span class="p1">(<span class="default"><a href="rlvect_2.html#K1" title="RLVECT_2:func.1">vector</a> (<span class="p2">(<span class="default"><a href="convex4.html#K15" title="CONVEX4:func.15">LC_CLSpace</a> <font color="Maroon" title="c1">V</font></span>)</span>,<font color="Maroon" title="c2">L</font>)</span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="convex4.html#K8" title="CONVEX4:func.8">-</a> <font color="Maroon" title="c2">L</font></span><br/>



<span class="kw">thus </span> <a href="algstr_0.html#K4" title="ALGSTR_0:func.4">-</a> <span class="p1">(<span class="default"><a href="rlvect_2.html#K1" title="RLVECT_2:func.1">vector</a> (<span class="p2">(<span class="default"><a href="convex4.html#K15" title="CONVEX4:func.15">LC_CLSpace</a> <font color="Maroon" title="c1">V</font></span>)</span>,<font color="Maroon" title="c2">L</font>)</span>)</span> = 
<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> <a href="complex1.html#K6" title="COMPLEX1:func.6">1r</a></span>)</span> <a href="clvect_1.html#K1" title="CLVECT_1:func.1">*</a> <span class="p1">(<span class="default"><a href="rlvect_2.html#K1" title="RLVECT_2:func.1">vector</a> (<span class="p2">(<span class="default"><a href="convex4.html#K15" title="CONVEX4:func.15">LC_CLSpace</a> <font color="Maroon" title="c1">V</font></span>)</span>,<font color="Maroon" title="c2">L</font>)</span>)</span>
<span class="kw">by</span> <span class="lab"><a class="ref" href="clvect_1.html#T3" onmouseover="rs('clvect_1/T3')" onmouseout="rh()">CLVECT_1:3</a></span>
<br/>.= 
 <a href="convex4.html#K8" title="CONVEX4:func.8">-</a> <font color="Maroon" title="c2">L</font>
<span class="kw">by</span> <span class="lab"><a class="ref" href="convex4.html#T39" target="_self" onmouseover="rs('convex4/T39')" onmouseout="rh()">Th39</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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