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<div><span class="kw">theorem </span><span class="lab"><font color="Green" title="E19">Th30</font></span>: <a NAME="T30"><span class="comment"><font color="firebrick">:: EUCLID_5:30</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">x3</font>, <font color="Olive" title="b2">y3</font>, <font color="Olive" title="b3">x1</font>, <font color="Olive" title="b4">x2</font>, <font color="Olive" title="b5">y1</font>, <font color="Olive" title="b6">y2</font> being   <a href="xreal_0.html#NM1" title="XREAL_0:NM.1">Real</a> holds  <span class="p1"><a href="rvsum_1.html#K22" title="RVSUM_1:func.22">|(</a><span class="default"><span class="p2"><a href="euclid_5.html#K4" title="EUCLID_5:func.4">|[</a><span class="default"><font color="Olive" title="b3">x1</font>,<font color="Olive" title="b4">x2</font>,<font color="Olive" title="b1">x3</font></span><a href="euclid_5.html#K4" title="EUCLID_5:func.4">]|</a></span>,<span class="p2"><a href="euclid_5.html#K4" title="EUCLID_5:func.4">|[</a><span class="default"><font color="Olive" title="b5">y1</font>,<font color="Olive" title="b6">y2</font>,<font color="Olive" title="b2">y3</font></span><a href="euclid_5.html#K4" title="EUCLID_5:func.4">]|</a></span></span><a href="rvsum_1.html#K22" title="RVSUM_1:func.22">)|</a></span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><font color="Olive" title="b3">x1</font> <a href="xcmplx_0.html#K3" title="XCMPLX_0:func.3">*</a> <font color="Olive" title="b5">y1</font></span>)</span> <a href="xcmplx_0.html#K2" title="XCMPLX_0:func.2">+</a> <span class="p2">(<span class="default"><font color="Olive" title="b4">x2</font> <a href="xcmplx_0.html#K3" title="XCMPLX_0:func.3">*</a> <font color="Olive" title="b6">y2</font></span>)</span></span>)</span> <a href="xcmplx_0.html#K2" title="XCMPLX_0:func.2">+</a> <span class="p1">(<span class="default"><font color="Olive" title="b1">x3</font> <a href="xcmplx_0.html#K3" title="XCMPLX_0:func.3">*</a> <font color="Olive" title="b2">y3</font></span>)</span></div></div>
