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<span class="kw">let </span><font color="Maroon" title="c1">L</font> be   non  <a href="struct_0.html#V7" title="STRUCT_0:attr.7">trivial</a>   <a href="zmodlat1.html#V4" title="ZMODLAT1:attr.4">positive-definite</a>   <a href="zmodlat2.html#V1" title="ZMODLAT2:attr.1">RATional</a>  <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">b</font> being    <a href="zmatrlin.html#M1" title="ZMATRLIN:mode.1">OrdBasis</a> of <font color="Maroon" title="c1">L</font> holds  <span class="p1">(<span class="default"><a href="zmodlat1.html#K25" title="ZMODLAT1:func.25">GramMatrix</a> <font color="Olive" title="b1">b</font></span>)</span> <a href="matrix_6.html#K1" title="MATRIX_6:func.1">~</a>  is   <a href="matrix_1.html#NM2" title="MATRIX_1:NM.2">Matrix</a> of  <a href="zmodlat1.html#NK4" title="ZMODLAT1:NK.4">dim</a> <font color="Maroon" title="c1">L</font>,<a href="gaussint.html#K11" title="GAUSSINT:func.11">F_Rat</a></span><br/><span class="kw">let </span><font color="Maroon" title="c2">b</font> be    <a href="zmatrlin.html#M1" title="ZMATRLIN:mode.1">OrdBasis</a> of <font color="Maroon" title="c1">L</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"><a href="zmodlat1.html#K25" title="ZMODLAT1:func.25">GramMatrix</a> <font color="Maroon" title="c2">b</font></span>)</span> <a href="matrix_6.html#K1" title="MATRIX_6:func.1">~</a>  is   <a href="matrix_1.html#NM2" title="MATRIX_1:NM.2">Matrix</a> of  <a href="zmodlat1.html#NK4" title="ZMODLAT1:NK.4">dim</a> <font color="Maroon" title="c1">L</font>,<a href="gaussint.html#K11" title="GAUSSINT:func.11">F_Rat</a></span><br/>



<a NAME="E1:28"/>
 <a href="zmodlat1.html#K25" title="ZMODLAT1:func.25">GramMatrix</a> <font color="Maroon" title="c2">b</font> is   <a href="matrix_1.html#NM2" title="MATRIX_1:NM.2">Matrix</a> of  <a href="zmodlat1.html#NK4" title="ZMODLAT1:NK.4">dim</a> <font color="Maroon" title="c1">L</font>,<a href="gaussint.html#K11" title="GAUSSINT:func.11">F_Rat</a>
 
<span class="kw">by</span> <span class="lab"><a class="ref" href="zmodlat2.html#T45" onmouseover="rs('zmodlat2/T45')" onmouseout="rh()">ZMODLAT2:45</a></span>;<br/>
<span class="kw">hence </span><a NAME="E2:28"/>
<span class="p1">(<span class="default"><a href="zmodlat1.html#K25" title="ZMODLAT1:func.25">GramMatrix</a> <font color="Maroon" title="c2">b</font></span>)</span> <a href="matrix_6.html#K1" title="MATRIX_6:func.1">~</a>  is   <a href="matrix_1.html#NM2" title="MATRIX_1:NM.2">Matrix</a> of  <a href="zmodlat1.html#NK4" title="ZMODLAT1:NK.4">dim</a> <font color="Maroon" title="c1">L</font>,<a href="gaussint.html#K11" title="GAUSSINT:func.11">F_Rat</a>
 <span class="kw">by</span> <span class="lab"><a class="ref" href="zmodlat3.html#T21" target="_self" onmouseover="rs('zmodlat3/T21')" onmouseout="rh()">INVMN2</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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