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<b>let </b><font color="Maroon" title="c1">n</font> be    <a href="subset_1.html#M1" title="SUBSET_1:mode.1">Element</a> of  <a href="numbers.html#K5" title="NUMBERS:func.5">NAT</a> ;<br/><b>let </b><font color="Maroon" title="c2">RAS</font> be    <a href="midsp_3.html#M2" title="MIDSP_3:mode.2">ReperAlgebra</a> of <font color="Maroon" title="c1">n</font>;<br/><b>let </b><font color="Maroon" title="c3">a</font> be   <a href="pre_topc.html#NM2" title="PRE_TOPC:NM.2">Point</a> of <font color="Maroon" title="c2">RAS</font>;<br/><b>let </b><font color="Maroon" title="c4">p</font> be   <a href="midsp_3.html#NM1" title="MIDSP_3:NM.1">Tuple</a> of <span class="p1">(<span class="default"><font color="Maroon" title="c1">n</font> <a href="nat_1.html#K2" title="NAT_1:func.2">+</a> 1</span>)</span>,<font color="Maroon" title="c2">RAS</font>;<br/><b>let </b><font color="Maroon" title="c5">W</font> be   <a href="midsp_2.html#NM1" title="MIDSP_2:NM.1">ATLAS</a> of <font color="Maroon" title="c2">RAS</font>;<br/><b>let </b><font color="Maroon" title="c6">x</font> be   <a href="midsp_3.html#NM3" title="MIDSP_3:NM.3">Tuple</a> of <span class="p1">(<span class="default"><font color="Maroon" title="c1">n</font> <a href="nat_1.html#K2" title="NAT_1:func.2">+</a> 1</span>)</span>,<font color="Maroon" title="c5">W</font>;<br/>











<b>assume </b><a NAME="E1:46"/><i><font color="Green" title="E29">A1</font></i>: 
<font color="Maroon" title="c5">W</font> <a href="midsp_3.html#K7" title="MIDSP_3:func.7">.</a> <font color="Maroon" title="c3">a</font>,<font color="Maroon" title="c4">p</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c6">x</font>
 ;<br/>

<b>thus </b> <a href="midsp_3.html#K9" title="MIDSP_3:func.9">Phi</a> <font color="Maroon" title="c6">x</font> = 
 <a href="midsp_3.html#K8" title="MIDSP_3:func.8">Phi</a> <font color="Maroon" title="c3">a</font>,<font color="Maroon" title="c6">x</font>
<b>by </b><i><a class="ref" href="midsp_3.html#D15" target="_self" title="MIDSP_3:def.15">Def15</a></i>
<br/>.= 
<font color="Maroon" title="c5">W</font> <a href="midsp_2.html#K9" title="MIDSP_2:func.9">.</a> <font color="Maroon" title="c3">a</font>,<span class="p1">(<span class="default"><a href="midsp_3.html#K4" title="MIDSP_3:func.4">*'</a> <font color="Maroon" title="c3">a</font>,<font color="Maroon" title="c4">p</font></span>)</span>
<b>by </b><i><a class="txt" href="midsp_3.html#E1:46"><i><font color="Green" title="E29">A1</font></i></a>, <a class="ref" href="midsp_3.html#T17" target="_self" title="MIDSP_3:th.17">Th17</a></i>
;<br/>


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