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<div><span class="kw">theorem </span><a NAME="T94"><span class="comment"><font color="firebrick">:: ANPROJ_8:94</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">p</font>, <font color="Olive" title="b2">q</font>, <font color="Olive" title="b3">r</font> being   <a href="pre_topc.html#NM2" title="PRE_TOPC:NM.2">Point</a> of <span class="p1">(<span class="default"><a href="euclid.html#K15" title="EUCLID:func.15">TOP-REAL</a> 3</span>)</span><br/>  for <font color="Olive" title="b4">pf</font>, <font color="Olive" title="b5">qf</font>, <font color="Olive" title="b6">rf</font> being   <a href="struct_0.html#NM7" title="STRUCT_0:NM.7">FinSequence</a> of <a href="vectsp_1.html#K2" title="VECTSP_1:func.2">F_Real</a>  st <font color="Olive" title="b1">p</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b4">pf</font> &amp; <font color="Olive" title="b2">q</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b5">qf</font> &amp; <font color="Olive" title="b3">r</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b6">rf</font> &amp; <span class="p1"><a href="euclid_5.html#K6" title="EUCLID_5:func.6">|{</a><span class="default"><font color="Olive" title="b1">p</font>,<font color="Olive" title="b2">q</font>,<font color="Olive" title="b3">r</font></span><a href="euclid_5.html#K6" title="EUCLID_5:func.6">}|</a></span> <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a>  <a href="numbers.html#K5" title="NUMBERS:func.5">0</a>  holds <br/> ex <font color="Olive" title="b7">M</font> being   <a href="matrix_1.html#NM2" title="MATRIX_1:NM.2">Matrix</a> of 3,<a href="vectsp_1.html#K2" title="VECTSP_1:func.2">F_Real</a> st <br/>( <font color="Olive" title="b7">M</font> is  <a href="matrix_6.html#V1" title="MATRIX_6:attr.1">invertible</a>  &amp; <font color="Olive" title="b7">M</font> <a href="laplace.html#K11" title="LAPLACE:func.11">*</a> <font color="Olive" title="b4">pf</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="anproj_8.html#K1" title="ANPROJ_8:func.1">F2M</a> <a href="euclid_8.html#K2" title="EUCLID_8:func.2">&lt;e1&gt;</a> &amp; <font color="Olive" title="b7">M</font> <a href="laplace.html#K11" title="LAPLACE:func.11">*</a> <font color="Olive" title="b5">qf</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="anproj_8.html#K1" title="ANPROJ_8:func.1">F2M</a> <a href="euclid_8.html#K3" title="EUCLID_8:func.3">&lt;e2&gt;</a> &amp; <font color="Olive" title="b7">M</font> <a href="laplace.html#K11" title="LAPLACE:func.11">*</a> <font color="Olive" title="b6">rf</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="anproj_8.html#K1" title="ANPROJ_8:func.1">F2M</a> <a href="euclid_8.html#K4" title="EUCLID_8:func.4">&lt;e3&gt;</a> )</div></div>
