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<b>let </b><font color="Maroon">P</font> be  non <a href="xboole_0.html#V1">empty</a> <a href="comput_1.html#V8" target="_self">primitive-recursively_closed</a> <a href="subset_1.html#NM2">Subset</a> of <span class="p1">(<span class="default"><a href="comput_1.html#K5" target="_self">HFuncs</a> <a href="numbers.html#K5">NAT</a> </span>)</span>;<br/>

<b>set </b><font color="Maroon">f</font> = 0 <a href="comput_1.html#K6" target="_self">const</a> 0;<br/>
<a NAME="E1:120"/><i><font color="Green">E48</font></i>: 
0 <a href="comput_1.html#K6" target="_self">const</a> 0 <a href="hidden.html#R2">in</a> <font color="Maroon">P</font>
 
<b>by </b><i><a class="ref" href="comput_1.html#T14" target="_self">Th14</a></i>;<br/>
<a NAME="E2:120"/><i><font color="Green">E49</font></i>: 
 <a href="finseq_1.html#K3">len</a> <a href="xboole_0.html#K1">{}</a>  <a href="hidden.html#R1">=</a> 0
 
<b>by </b><i><a class="ref" href="finseq_1.html#T25">FINSEQ_1:25</a></i>;<br/>
<a NAME="E3:120"/><i><font color="Green">E51</font></i>: 
 <a href="comput_1.html#K3" target="_self">arity</a> <span class="p1">(<span class="default">0 <a href="comput_1.html#K6" target="_self">const</a> 0</span>)</span> <a href="hidden.html#R1">=</a> 0
 
<b>by </b><i/>;<br/>
<a NAME="E4:120"/><i><font color="Green">E52</font></i>: 
 <a href="relat_1.html#K2">rng</a> <a href="xboole_0.html#K1">{}</a>  <a href="tarski.html#R1">c=</a> <font color="Maroon">P</font>
 
<b>by </b><i><a class="ref" href="xboole_1.html#T2">XBOOLE_1:2</a></i>;<br/>
<b>reconsider </b><font color="Maroon">F</font> =  <a href="xboole_0.html#K1">{}</a>  as  <a href="comput_1.html#V5" target="_self">with_the_same_arity</a>  <a href="finseq_2.html#M2">Element</a> of <span class="p1">(<span class="default"><a href="comput_1.html#K5" target="_self">HFuncs</a> <a href="numbers.html#K5">NAT</a> </span>)</span> <a href="finseq_2.html#K3">*</a>  <b>by </b><i><a class="ref" href="finseq_1.html#T66">FINSEQ_1:66</a></i>;<br/>
<a NAME="E6:120"/>
<font color="Maroon">P</font> is <a href="comput_1.html#V6" target="_self">composition_closed</a>
 
<b>by </b><i><a class="ref" href="comput_1.html#T13" target="_self">Th13</a></i>;<br/>
<a NAME="E7:120"/><b>then </b>
<span class="p1">(<span class="default">0 <a href="comput_1.html#K6" target="_self">const</a> 0</span>)</span> <a href="funct_1.html#NK3" target="_self">*</a> <span class="p1"><a href="funct_6.html#K6">&lt;:</a><span class="default"><font color="Maroon">F</font></span><a href="funct_6.html#K6">:&gt;</a></span> <a href="hidden.html#R2">in</a> <font color="Maroon">P</font>
 
<b>by </b><i>, , <a class="ref" href="comput_1.html#T16" target="_self">Th16</a>, <a class="ref" href="comput_1.html#T17" target="_self">Th17</a>, </i>;<br/>
<a NAME="E8:120"/><b>then </b>
<span class="p1">(<span class="default">0 <a href="comput_1.html#K6" target="_self">const</a> 0</span>)</span> <a href="funct_1.html#NK3" target="_self">*</a> <a href="xboole_0.html#K1">{}</a>  <a href="hidden.html#R2">in</a> <font color="Maroon">P</font>
 
<b>by </b><i><a class="ref" href="funct_6.html#T60">FUNCT_6:60</a></i>;<br/>
<b>hence </b><a NAME="E9:120"/>
 <a href="xboole_0.html#K1">{}</a>  <a href="hidden.html#R2">in</a> <font color="Maroon">P</font>
 ;<br/>


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