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<div><span class="kw">theorem </span><a NAME="T48"><span class="comment"><font color="firebrick">:: FINTOPO3:48</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">T</font> being   non  <a href="struct_0.html#V2" title="STRUCT_0:attr.2">empty</a>   <a href="orders_2.html#L1" title="ORDERS_2:struct.1">RelStr</a> <br/>  for <font color="Olive" title="b2">x</font> being   <a href="struct_0.html#NM1" title="STRUCT_0:NM.1">Element</a> of <font color="Olive" title="b1">T</font><br/>  for <font color="Olive" title="b3">n</font> being   <a href="ordinal1.html#NM6" title="ORDINAL1:NM.6">Nat</a> holds   <a href="fintopo3.html#K10" title="FINTOPO3:func.10">U_FT</a> (<font color="Olive" title="b2">x</font>,<span class="p1">(<span class="default"><font color="Olive" title="b3">n</font> <a href="nat_1.html#K1" title="NAT_1:func.1">+</a> 1</span>)</span>) <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default"><a href="fintopo3.html#K10" title="FINTOPO3:func.10">U_FT</a> (<font color="Olive" title="b2">x</font>,<font color="Olive" title="b3">n</font>)</span>)</span> <a href="fin_topo.html#K12" title="FIN_TOPO:func.12">^f</a>  <span class="kw">by</span> <span class="lab"><a class="ref" href="fintopo3.html#D6" target="_self" onmouseover="rs('fintopo3/D6')" onmouseout="rh()">Def6</a></span>;<br/></div></div>
