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<span class="kw">let </span><font color="Maroon" title="c1">L</font> be   <a href="zmodlat1.html#NM1" title="ZMODLAT1:NM.1">Z_Lattice</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">v</font> being   <a href="vectsp_1.html#NM8" title="VECTSP_1:NM.8">Vector</a> of <span class="p1">(<span class="default"><a href="zmodul08.html#K2" title="ZMODUL08:func.2">DivisibleMod</a> <font color="Maroon" title="c1">L</font></span>)</span><br/>  for <font color="Olive" title="b2">l</font> being    <a href="vectsp_6.html#M2" title="VECTSP_6:mode.2">Linear_Combination</a> of  <a href="subset_1.html#K1" title="SUBSET_1:func.1">{}</a>  the <a href="struct_0.html#U1" title="STRUCT_0:sel.1">carrier</a> of <span class="p1">(<span class="default"><a href="zmodul08.html#K2" title="ZMODUL08:func.2">DivisibleMod</a> <font color="Maroon" title="c1">L</font></span>)</span> holds   <a href="zmodlat3.html#K4" title="ZMODLAT3:func.4">SumSc</a> (<font color="Olive" title="b1">v</font>,<font color="Olive" title="b2">l</font>) <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="struct_0.html#K4" title="STRUCT_0:func.4">0.</a> <a href="vectsp_1.html#K2" title="VECTSP_1:func.2">F_Real</a></span><br/><span class="kw">let </span><font color="Maroon" title="c2">v</font> be   <a href="vectsp_1.html#NM8" title="VECTSP_1:NM.8">Vector</a> of <span class="p1">(<span class="default"><a href="zmodul08.html#K2" title="ZMODUL08:func.2">DivisibleMod</a> <font color="Maroon" title="c1">L</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">  for <font color="Olive" title="b1">l</font> being    <a href="vectsp_6.html#M2" title="VECTSP_6:mode.2">Linear_Combination</a> of  <a href="subset_1.html#K1" title="SUBSET_1:func.1">{}</a>  the <a href="struct_0.html#U1" title="STRUCT_0:sel.1">carrier</a> of <span class="p1">(<span class="default"><a href="zmodul08.html#K2" title="ZMODUL08:func.2">DivisibleMod</a> <font color="Maroon" title="c1">L</font></span>)</span> holds   <a href="zmodlat3.html#K4" title="ZMODLAT3:func.4">SumSc</a> (<font color="Maroon" title="c2">v</font>,<font color="Olive" title="b1">l</font>) <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="struct_0.html#K4" title="STRUCT_0:func.4">0.</a> <a href="vectsp_1.html#K2" title="VECTSP_1:func.2">F_Real</a></span><br/><span class="kw">let </span><font color="Maroon" title="c3">l</font> be    <a href="vectsp_6.html#M2" title="VECTSP_6:mode.2">Linear_Combination</a> of  <a href="subset_1.html#K1" title="SUBSET_1:func.1">{}</a>  the <a href="struct_0.html#U1" title="STRUCT_0:sel.1">carrier</a> of <span class="p1">(<span class="default"><a href="zmodul08.html#K2" title="ZMODUL08:func.2">DivisibleMod</a> <font color="Maroon" title="c1">L</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">  <a href="zmodlat3.html#K4" title="ZMODLAT3:func.4">SumSc</a> (<font color="Maroon" title="c2">v</font>,<font color="Maroon" title="c3">l</font>) <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="struct_0.html#K4" title="STRUCT_0:func.4">0.</a> <a href="vectsp_1.html#K2" title="VECTSP_1:func.2">F_Real</a></span><br/>





<a NAME="E1:21"/>
<font color="Maroon" title="c3">l</font> <a href="vectsp_6.html#R1" title="VECTSP_6:pred.1">=</a>  <a href="vectsp_6.html#K2" title="VECTSP_6:func.2">ZeroLC</a> <span class="p1">(<span class="default"><a href="zmodul08.html#K2" title="ZMODUL08:func.2">DivisibleMod</a> <font color="Maroon" title="c1">L</font></span>)</span>
 
<span class="kw">by</span> <span class="lab"><a class="ref" href="vectsp_6.html#T6" onmouseover="rs('vectsp_6/T6')" onmouseout="rh()">VECTSP_6:6</a></span>;<br/>
<span class="kw">hence </span><a NAME="E2:21"/>
 <a href="zmodlat3.html#K4" title="ZMODLAT3:func.4">SumSc</a> (<font color="Maroon" title="c2">v</font>,<font color="Maroon" title="c3">l</font>) <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="struct_0.html#K4" title="STRUCT_0:func.4">0.</a> <a href="vectsp_1.html#K2" title="VECTSP_1:func.2">F_Real</a>
 <span class="kw">by</span> <span class="lab"><a class="ref" href="zmodlat3.html#T14" target="_self" onmouseover="rs('zmodlat3/T14')" onmouseout="rh()">LmSumScDM11</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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