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<div><span class="kw">theorem </span><span class="lab"><font color="Green" title="E25">Th21</font></span>: <a NAME="T21"><span class="comment"><font color="firebrick">:: ANALMETR:21</font></span><br/></a><div class="add"> 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">u</font>, <font color="Olive" title="b3">u1</font>, <font color="Olive" title="b4">v</font>, <font color="Olive" title="b5">v1</font>, <font color="Olive" title="b6">w</font>, <font color="Olive" title="b7">y</font> being   <a href="rlvect_1.html#NM1" title="RLVECT_1:NM.1">VECTOR</a> of <font color="Olive" title="b1">V</font><br/>  for <font color="Olive" title="b8">p</font>, <font color="Olive" title="b9">p1</font>, <font color="Olive" title="b10">q</font>, <font color="Olive" title="b11">q1</font> being   <a href="struct_0.html#NM1" title="STRUCT_0:NM.1">Element</a> of <span class="p1">(<span class="default"><a href="analmetr.html#K2" title="ANALMETR:func.2">AMSpace</a> (<font color="Olive" title="b1">V</font>,<font color="Olive" title="b6">w</font>,<font color="Olive" title="b7">y</font>)</span>)</span>  st <font color="Olive" title="b8">p</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b2">u</font> &amp; <font color="Olive" title="b9">p1</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b3">u1</font> &amp; <font color="Olive" title="b10">q</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b4">v</font> &amp; <font color="Olive" title="b11">q1</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b5">v1</font> holds <br/>( <font color="Olive" title="b8">p</font>,<font color="Olive" title="b10">q</font> <a href="analmetr.html#R4" title="ANALMETR:pred.4">_|_</a> <font color="Olive" title="b9">p1</font>,<font color="Olive" title="b11">q1</font> iff <font color="Olive" title="b2">u</font>,<font color="Olive" title="b4">v</font>,<font color="Olive" title="b3">u1</font>,<font color="Olive" title="b5">v1</font> <a href="analmetr.html#R3" title="ANALMETR:pred.3">are_Ort_wrt</a> <font color="Olive" title="b6">w</font>,<font color="Olive" title="b7">y</font> )</div></div>
