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<b>let </b><font color="Maroon" title="c1">n</font> be    <a href="subset_1.html#M2" title="SUBSET_1:mode.2">Element</a> of  <a href="numbers.html#K5" title="NUMBERS:func.5">NAT</a> ;<br/>

<b>consider </b><font color="Maroon" title="c2">iN</font> being    <a href="subset_1.html#M2" title="SUBSET_1:mode.2">Element</a> of  <a href="ami_2.html#K6" title="AMI_2:func.6">SCM-Instr-Loc</a> <b> such that </b><br/><a NAME="E2:11"/><i><font color="Green" title="E11">A1</font></i>: 
( <font color="Maroon" title="c2">iN</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="ami_3.html#K13" title="AMI_3:func.13">il.</a> <font color="Maroon" title="c1">n</font> &amp;  <a href="ami_3.html#K11" title="AMI_3:func.11">Next</a> <span class="p1">(<span class="default"><a href="ami_3.html#K13" title="AMI_3:func.13">il.</a> <font color="Maroon" title="c1">n</font></span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="ami_2.html#K18" title="AMI_2:func.18">Next</a> <font color="Maroon" title="c2">iN</font> )
 <b>by </b><i><a class="ref" href="ami_3.html#D11" title="AMI_3:def.11">AMI_3:def 11</a></i>;<br/>
<b>thus </b> <a href="ami_3.html#K11" title="AMI_3:func.11">Next</a> <span class="p1">(<span class="default"><a href="ami_3.html#K13" title="AMI_3:func.13">il.</a> <font color="Maroon" title="c1">n</font></span>)</span> = 
<font color="Maroon" title="c2">iN</font> <a href="nat_1.html#K1" title="NAT_1:func.1">+</a> 1
<b>by </b><i><a class="txt" href="scm_1.html#E2:11"><i><font color="Green" title="E11">A1</font></i></a></i>
<br/>.= 
<font color="Maroon" title="c1">n</font> <a href="nat_1.html#K2" title="NAT_1:func.2">+</a> 1
<b>by </b><i><a class="txt" href="scm_1.html#E2:11"><i><font color="Green" title="E11">A1</font></i></a>, <a class="ref" href="ami_3.html#D20" title="AMI_3:def.20">AMI_3:def 20</a></i>
<br/>.= 
 <a href="ami_3.html#K13" title="AMI_3:func.13">il.</a> <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>
<b>by </b><i><a class="ref" href="ami_3.html#D20" title="AMI_3:def.20">AMI_3:def 20</a></i>
;<br/>


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