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<div><span class="kw">theorem </span><a NAME="T88"><span class="comment"><font color="firebrick">:: EUCLID_8:88</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">p1</font>, <font color="Olive" title="b2">p2</font>, <font color="Olive" title="b3">q1</font>, <font color="Olive" title="b4">q2</font> being    <a href="finseq_2.html#M2" title="FINSEQ_2:mode.2">Element</a> of  <a href="euclid.html#K1" title="EUCLID:func.1">REAL</a> 3 holds  <span class="p1">(<span class="default"><font color="Olive" title="b1">p1</font> <a href="euclid.html#K7" title="EUCLID:func.7">+</a> <font color="Olive" title="b2">p2</font></span>)</span> <a href="euclid_8.html#K5" title="EUCLID_8:func.5">&lt;X&gt;</a> <span class="p1">(<span class="default"><font color="Olive" title="b3">q1</font> <a href="euclid.html#K7" title="EUCLID:func.7">+</a> <font color="Olive" title="b4">q2</font></span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><font color="Olive" title="b1">p1</font> <a href="euclid_8.html#K5" title="EUCLID_8:func.5">&lt;X&gt;</a> <font color="Olive" title="b3">q1</font></span>)</span> <a href="euclid.html#K7" title="EUCLID:func.7">+</a> <span class="p3">(<span class="default"><font color="Olive" title="b1">p1</font> <a href="euclid_8.html#K5" title="EUCLID_8:func.5">&lt;X&gt;</a> <font color="Olive" title="b4">q2</font></span>)</span></span>)</span> <a href="euclid.html#K7" title="EUCLID:func.7">+</a> <span class="p2">(<span class="default"><font color="Olive" title="b2">p2</font> <a href="euclid_8.html#K5" title="EUCLID_8:func.5">&lt;X&gt;</a> <font color="Olive" title="b3">q1</font></span>)</span></span>)</span> <a href="euclid.html#K7" title="EUCLID:func.7">+</a> <span class="p1">(<span class="default"><font color="Olive" title="b2">p2</font> <a href="euclid_8.html#K5" title="EUCLID_8:func.5">&lt;X&gt;</a> <font color="Olive" title="b4">q2</font></span>)</span></div></div>
