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<div>:: <span class="kw">deftheorem </span><span class="lab"><font color="Green" title="E41">Def4</font></span>   defines <a href="geomtrap.html#K2" title="GEOMTRAP:func.2">pr1</a> <a onclick="hs(this)" href="javascript:()">GEOMTRAP:def 4 : <br/></a><span> for <font color="Olive" title="b1">V</font> being   <a href="rlvect_1.html#NM2" title="RLVECT_1:NM.2">RealLinearSpace</a><br/>  for <font color="Olive" title="b2">w</font>, <font color="Olive" title="b3">y</font>, <font color="Olive" title="b4">u</font> being   <a href="rlvect_1.html#NM1" title="RLVECT_1:NM.1">VECTOR</a> of <font color="Olive" title="b1">V</font>  st  <a href="analmetr.html#R1" title="ANALMETR:pred.1">Gen</a> <font color="Olive" title="b2">w</font>,<font color="Olive" title="b3">y</font> holds <br/> for <font color="Olive">b<sub>5</sub></font> being   <a href="xreal_0.html#NM1" title="XREAL_0:NM.1">Real</a> holds <br/> ( <font color="Olive">b<sub>5</sub></font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="geomtrap.html#K2" title="GEOMTRAP:func.2">pr1</a> (<font color="Olive" title="b2">w</font>,<font color="Olive" title="b3">y</font>,<font color="Olive" title="b4">u</font>) iff  ex <font color="Olive" title="b6">b</font> being   <a href="xreal_0.html#NM1" title="XREAL_0:NM.1">Real</a> st <font color="Olive" title="b4">u</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default"><font color="Olive">b<sub>5</sub></font> <a href="rlvect_1.html#K1" title="RLVECT_1:func.1">*</a> <font color="Olive" title="b2">w</font></span>)</span> <a href="rlvect_1.html#K3" title="RLVECT_1:func.3">+</a> <span class="p1">(<span class="default"><font color="Olive" title="b6">b</font> <a href="rlvect_1.html#K1" title="RLVECT_1:func.1">*</a> <font color="Olive" title="b3">y</font></span>)</span> );<br/></span></div>
