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<div><span class="kw">theorem </span><span class="lab"><font color="Green" title="E15">Th15</font></span>: <a NAME="T15"><span class="comment"><font color="firebrick">:: MIDSP_3:15</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">RAS</font> being   non  <a href="struct_0.html#V2" title="STRUCT_0:attr.2">empty</a>   <a href="midsp_1.html#V2" title="MIDSP_1:attr.2">MidSp-like</a>   <a href="midsp_3.html#L1" title="MIDSP_3:struct.1">ReperAlgebraStr</a> over <font color="Olive" title="b1">n</font> <a href="nat_1.html#K1" title="NAT_1:func.1">+</a> 2<br/>  for <font color="Olive" title="b3">a</font> being   <a href="pre_topc.html#NM2" title="PRE_TOPC:NM.2">Point</a> of <font color="Olive" title="b2">RAS</font><br/>  for <font color="Olive" title="b4">p</font> being   <a href="midsp_3.html#NM1" title="MIDSP_3:NM.1">Tuple</a> of <span class="p1">(<span class="default"><font color="Olive" title="b1">n</font> <a href="nat_1.html#K1" title="NAT_1:func.1">+</a> 1</span>)</span>,<font color="Olive" title="b2">RAS</font><br/>  for <font color="Olive" title="b5">W</font> being   <a href="midsp_2.html#NM1" title="MIDSP_2:NM.1">ATLAS</a> of <font color="Olive" title="b2">RAS</font><br/>  for <font color="Olive" title="b6">x</font> being   <a href="midsp_3.html#NM3" title="MIDSP_3:NM.3">Tuple</a> of <span class="p1">(<span class="default"><font color="Olive" title="b1">n</font> <a href="nat_1.html#K1" title="NAT_1:func.1">+</a> 1</span>)</span>,<font color="Olive" title="b5">W</font> holds <br/> ( <font color="Olive" title="b5">W</font> <a href="midsp_3.html#K8" title="MIDSP_3:func.8">.</a> (<font color="Olive" title="b3">a</font>,<font color="Olive" title="b4">p</font>) <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b6">x</font> iff (<font color="Olive" title="b3">a</font>,<font color="Olive" title="b6">x</font>) <a href="midsp_3.html#K7" title="MIDSP_3:func.7">.</a> <font color="Olive" title="b5">W</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b4">p</font> )</div></div>
