<?xml version="1.0"?>
<div><span class="kw">theorem </span><span class="lab"><font color="Green" title="E9">Th10</font></span>: <a NAME="T10"><span class="comment"><font color="firebrick">:: TOPRNS_1:10</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">N</font> being   <a href="ordinal1.html#NM6" title="ORDINAL1:NM.6">Nat</a><br/>  for <font color="Olive" title="b2">seq1</font>, <font color="Olive" title="b3">seq2</font>, <font color="Olive" title="b4">seq3</font> being   <a href="toprns_1.html#NM1" title="TOPRNS_1:NM.1">Real_Sequence</a> of <font color="Olive" title="b1">N</font> holds  <span class="p1">(<span class="default"><font color="Olive" title="b2">seq1</font> <a href="toprns_1.html#K1" title="TOPRNS_1:func.1">+</a> <font color="Olive" title="b3">seq2</font></span>)</span> <a href="toprns_1.html#K1" title="TOPRNS_1:func.1">+</a> <font color="Olive" title="b4">seq3</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b2">seq1</font> <a href="toprns_1.html#K1" title="TOPRNS_1:func.1">+</a> <span class="p1">(<span class="default"><font color="Olive" title="b3">seq2</font> <a href="toprns_1.html#K1" title="TOPRNS_1:func.1">+</a> <font color="Olive" title="b4">seq3</font></span>)</span></div></div>
