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<b>defpred </b><font color="Maroon">S<sub>1</sub></font>[  <a href="nat_1.html#NM1">Nat</a>] <b>means </b>for <font color="Olive">G</font> being  <a href="group_1.html#NM1">Group</a><br/> for <font color="Olive">a</font>, <font color="Olive">b</font> being  <a href="struct_0.html#NM1">Element</a> of <font color="Olive">G</font> holds  <span class="p1">(<span class="default"><font color="Olive">a</font> <a href="group_1.html#K6">|^</a> <font color="Maroon">a<sub>1</sub></font></span>)</span> <a href="group_3.html#K2" target="_self">|^</a> <font color="Olive">b</font> <a href="hidden.html#R1">=</a> <span class="p1">(<span class="default"><font color="Olive">a</font> <a href="group_3.html#K2" target="_self">|^</a> <font color="Olive">b</font></span>)</span> <a href="group_1.html#K6">|^</a> <font color="Maroon">a<sub>1</sub></font>;<br/>
<a NAME="E1:28"/><i><font color="Green">E38</font></i>: 
<font color="Maroon">S<sub>1</sub></font>[0]
 
<b>by </b><i/>;<br/>
<a NAME="E2:28"/><i><font color="Green">E39</font></i>: 
for <font color="Olive">k</font> being  <a href="nat_1.html#NM1">Nat</a>  st <font color="Maroon">S<sub>1</sub></font>[<font color="Olive">k</font>] holds <br/><font color="Maroon">S<sub>1</sub></font>[<font color="Olive">k</font> <a href="xcmplx_0.html#K2">+</a> 1]
 
<b>by </b><i/>;<br/>
<a NAME="E3:28"/>
for <font color="Olive">k</font> being  <a href="nat_1.html#NM1">Nat</a> holds  <font color="Maroon">S<sub>1</sub></font>[<font color="Olive">k</font>]
 
<b>from </b><i><a class="ref" href="nat_1.html#S2">NAT_1:sch 2</a>(, );<br/></i>
<b>hence </b><a NAME="E4:28"/>
for <font color="Olive">n</font> being  <a href="nat_1.html#NM1">Nat</a><br/> for <font color="Olive">G</font> being  <a href="group_1.html#NM1">Group</a><br/> for <font color="Olive">a</font>, <font color="Olive">b</font> being  <a href="struct_0.html#NM1">Element</a> of <font color="Olive">G</font> holds  <span class="p1">(<span class="default"><font color="Olive">a</font> <a href="group_1.html#K6">|^</a> <font color="Olive">n</font></span>)</span> <a href="group_3.html#K2" target="_self">|^</a> <font color="Olive">b</font> <a href="hidden.html#R1">=</a> <span class="p1">(<span class="default"><font color="Olive">a</font> <a href="group_3.html#K2" target="_self">|^</a> <font color="Olive">b</font></span>)</span> <a href="group_1.html#K6">|^</a> <font color="Olive">n</font>
 ;<br/>


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