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<div><span class="kw">theorem </span><span class="lab"><font color="Green" title="E53">LmSign3</font></span>: <a NAME="T54"><span class="comment"><font color="firebrick">:: ZMATRLIN:54</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">V</font> being   <a href="vectsp_7.html#V3" title="VECTSP_7:attr.3">free</a>   <a href="zmodul03.html#V1" title="ZMODUL03:attr.1">finite-rank</a>  <a href="zmodul01.html#NM1" title="ZMODUL01:NM.1">Z_Module</a><br/>  for <font color="Olive" title="b2">b1</font>, <font color="Olive" title="b3">b2</font> being    <a href="zmatrlin.html#M1" title="ZMATRLIN:mode.1">OrdBasis</a> of <font color="Olive" title="b1">V</font>  st  <a href="zmodul03.html#K1" title="ZMODUL03:func.1">rank</a> <font color="Olive" title="b1">V</font> <a href="xxreal_0.html#NR4" title="XXREAL_0:NR.4">&gt;</a>  <a href="numbers.html#K5" title="NUMBERS:func.5">0</a>  holds <br/><span class="p1">(<span class="default"><a href="zmatrlin.html#K10" title="ZMATRLIN:func.10">AutMt</a> (<span class="p2">(<span class="default"><a href="struct_0.html#K3" title="STRUCT_0:func.3">id</a> <font color="Olive" title="b1">V</font></span>)</span>,<font color="Olive" title="b2">b1</font>,<font color="Olive" title="b3">b2</font>)</span>)</span> <a href="matrix_3.html#K4" title="MATRIX_3:func.4">*</a> <span class="p1">(<span class="default"><a href="zmatrlin.html#K10" title="ZMATRLIN:func.10">AutMt</a> (<span class="p2">(<span class="default"><a href="struct_0.html#K3" title="STRUCT_0:func.3">id</a> <font color="Olive" title="b1">V</font></span>)</span>,<font color="Olive" title="b3">b2</font>,<font color="Olive" title="b2">b1</font>)</span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="matrix_1.html#K3" title="MATRIX_1:func.3">1.</a> (<a href="int_3.html#K1" title="INT_3:func.1">INT.Ring</a>,<span class="p1">(<span class="default"><a href="zmodul03.html#K1" title="ZMODUL03:func.1">rank</a> <font color="Olive" title="b1">V</font></span>)</span>)</div></div>
