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<div><span class="kw">theorem </span><span class="lab"><font color="Green" title="E28">Th26</font></span>: <a NAME="T43"><span class="comment"><font color="firebrick">:: ANPROJ10:43</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">T</font> being   <a href="rlvect_1.html#NM2" title="RLVECT_1:NM.2">RealLinearSpace</a>  st <font color="Olive" title="b1">T</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="euclid.html#K15" title="EUCLID:func.15">TOP-REAL</a> 1 holds <br/> for <font color="Olive" title="b2">x</font>, <font color="Olive" title="b3">y</font>, <font color="Olive" title="b4">z</font> being   <a href="struct_0.html#NM1" title="STRUCT_0:NM.1">Element</a> of <font color="Olive" title="b1">T</font>  st <font color="Olive" title="b4">z</font> <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a> <font color="Olive" title="b2">x</font> &amp; <font color="Olive" title="b3">y</font> <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a> <font color="Olive" title="b2">x</font> holds <br/> ex <font color="Olive" title="b5">a</font>, <font color="Olive" title="b6">b</font>, <font color="Olive" title="b7">c</font> being   <a href="xreal_0.html#NM1" title="XREAL_0:NM.1">Real</a> st <br/>( <font color="Olive" title="b2">x</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1"><a href="srings_5.html#K24" title="SRINGS_5:func.24">&lt;*</a><span class="default"><font color="Olive" title="b5">a</font></span><a href="srings_5.html#K24" title="SRINGS_5:func.24">*&gt;</a></span> &amp; <font color="Olive" title="b3">y</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1"><a href="srings_5.html#K24" title="SRINGS_5:func.24">&lt;*</a><span class="default"><font color="Olive" title="b6">b</font></span><a href="srings_5.html#K24" title="SRINGS_5:func.24">*&gt;</a></span> &amp; <font color="Olive" title="b4">z</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1"><a href="srings_5.html#K24" title="SRINGS_5:func.24">&lt;*</a><span class="default"><font color="Olive" title="b7">c</font></span><a href="srings_5.html#K24" title="SRINGS_5:func.24">*&gt;</a></span> &amp;  <a href="anproj10.html#K27" title="ANPROJ10:func.27">affine-ratio</a> (<font color="Olive" title="b2">x</font>,<font color="Olive" title="b3">y</font>,<font color="Olive" title="b4">z</font>) <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default"><font color="Olive" title="b6">b</font> <a href="xcmplx_0.html#K6" title="XCMPLX_0:func.6">-</a> <font color="Olive" title="b5">a</font></span>)</span> <a href="xcmplx_0.html#K7" title="XCMPLX_0:func.7">/</a> <span class="p1">(<span class="default"><font color="Olive" title="b7">c</font> <a href="xcmplx_0.html#K6" title="XCMPLX_0:func.6">-</a> <font color="Olive" title="b5">a</font></span>)</span> )</div></div>
