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<span class="kw">set </span><font color="Maroon" title="c1">SS</font> =  the   non  <a href="struct_0.html#V6" title="STRUCT_0:attr.6">degenerated</a>   <a href="struct_0.html#NV10" title="STRUCT_0:NV.10">infinite</a>   <a href="struct_0.html#L4" title="STRUCT_0:struct.4">ZeroOneStr</a> ;<br/>
<a NAME="E1:15"/><span class="lab"><font color="Green" title="E13">B10</font></span>: 
 <a href="struct_0.html#K4" title="STRUCT_0:func.4">0.</a>  the   non  <a href="struct_0.html#V6" title="STRUCT_0:attr.6">degenerated</a>   <a href="struct_0.html#NV10" title="STRUCT_0:NV.10">infinite</a>   <a href="struct_0.html#L4" title="STRUCT_0:struct.4">ZeroOneStr</a>  <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a>  <a href="struct_0.html#K5" title="STRUCT_0:func.5">1.</a>  the   non  <a href="struct_0.html#V6" title="STRUCT_0:attr.6">degenerated</a>   <a href="struct_0.html#NV10" title="STRUCT_0:NV.10">infinite</a>   <a href="struct_0.html#L4" title="STRUCT_0:struct.4">ZeroOneStr</a> 
 
;<br/>
<span class="kw">set </span><font color="Maroon" title="c2">f</font> =  the   non  <a href="struct_0.html#V6" title="STRUCT_0:attr.6">degenerated</a>   <a href="struct_0.html#NV10" title="STRUCT_0:NV.10">infinite</a>   <a href="struct_0.html#L4" title="STRUCT_0:struct.4">ZeroOneStr</a>  <a href="fomodel1.html#K14" title="FOMODEL1:func.14">TrivialArity</a> ;<br/>
<span class="kw">take </span><font color="Maroon" title="c3">S</font> =  <a href="fomodel1.html#G1" title="FOMODEL1:aggr.1">Language-like</a>(#  the <a href="struct_0.html#U1" title="STRUCT_0:sel.1">carrier</a> of  the   non  <a href="struct_0.html#V6" title="STRUCT_0:attr.6">degenerated</a>   <a href="struct_0.html#NV10" title="STRUCT_0:NV.10">infinite</a>   <a href="struct_0.html#L4" title="STRUCT_0:struct.4">ZeroOneStr</a> , the <a href="struct_0.html#U2" title="STRUCT_0:sel.2">ZeroF</a> of  the   non  <a href="struct_0.html#V6" title="STRUCT_0:attr.6">degenerated</a>   <a href="struct_0.html#NV10" title="STRUCT_0:NV.10">infinite</a>   <a href="struct_0.html#L4" title="STRUCT_0:struct.4">ZeroOneStr</a> , the <a href="struct_0.html#U3" title="STRUCT_0:sel.3">OneF</a> of  the   non  <a href="struct_0.html#V6" title="STRUCT_0:attr.6">degenerated</a>   <a href="struct_0.html#NV10" title="STRUCT_0:NV.10">infinite</a>   <a href="struct_0.html#L4" title="STRUCT_0:struct.4">ZeroOneStr</a> ,<span class="p1">(<span class="default"> the   non  <a href="struct_0.html#V6" title="STRUCT_0:attr.6">degenerated</a>   <a href="struct_0.html#NV10" title="STRUCT_0:NV.10">infinite</a>   <a href="struct_0.html#L4" title="STRUCT_0:struct.4">ZeroOneStr</a>  <a href="fomodel1.html#K14" title="FOMODEL1:func.14">TrivialArity</a></span>)</span> #); <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide"> (  not <font color="Maroon" title="c3">S</font> is  <a href="struct_0.html#V6" title="STRUCT_0:attr.6">degenerated</a>  &amp; <font color="Maroon" title="c3">S</font> is  <a href="fomodel1.html#V11" title="FOMODEL1:attr.11">eligible</a>  )</span><br/>

<a NAME="E2:15"/>
 <a href="struct_0.html#K4" title="STRUCT_0:func.4">0.</a> <font color="Maroon" title="c3">S</font> <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a>  <a href="struct_0.html#K5" title="STRUCT_0:func.5">1.</a> <font color="Maroon" title="c3">S</font>
 
<span class="kw">by</span> <span class="lab"><a class="txt" href="#E1:15"><span class="lab"><font color="Green" title="E13">B10</font></span></a></span>;<br/>
<span class="kw">hence </span><a NAME="E3:15"/>
 not <font color="Maroon" title="c3">S</font> is  <a href="struct_0.html#V6" title="STRUCT_0:attr.6">degenerated</a> 
 <span class="kw">by</span> <span class="lab"><a class="ref" href="struct_0.html#D8" title="STRUCT_0:def.8">STRUCT_0:def 8</a></span>; <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide"> <font color="Maroon" title="c3">S</font> is  <a href="fomodel1.html#V11" title="FOMODEL1:attr.11">eligible</a> </span><br/>

<span class="kw">set </span><font color="Maroon" title="c4">g</font> =  the <a href="fomodel1.html#U1" title="FOMODEL1:sel.1">adicity</a> of <font color="Maroon" title="c3">S</font>;<br/>
<span class="kw">thus </span><a NAME="E4:15"/>
 not  <a href="fomodel1.html#K2" title="FOMODEL1:func.2">LettersOf</a> <font color="Maroon" title="c3">S</font> is  <a href="finset_1.html#V1" title="FINSET_1:attr.1">finite</a> 
 ; <span class="comment"><font color="firebrick">:: according to </font></span><a class="ref" href="fomodel1.html#D23" target="_self" title="FOMODEL1:def.23">FOMODEL1:def 23</a> <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide">  the <a href="fomodel1.html#U1" title="FOMODEL1:sel.1">adicity</a> of <font color="Maroon" title="c3">S</font> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <span class="p1">(<span class="default"><a href="fomodel1.html#K7" title="FOMODEL1:func.7">TheEqSymbOf</a> <font color="Maroon" title="c3">S</font></span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 2</span><br/>

<span class="kw">thus </span><a NAME="E5:15"/>
 the <a href="fomodel1.html#U1" title="FOMODEL1:sel.1">adicity</a> of <font color="Maroon" title="c3">S</font> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <span class="p1">(<span class="default"><a href="fomodel1.html#K7" title="FOMODEL1:func.7">TheEqSymbOf</a> <font color="Maroon" title="c3">S</font></span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 2
 <span class="kw">by</span> <span class="lab"><a class="txt" href="fomodel1.html#E23"><span class="lab"><font color="Green" title="E10">Lm6</font></span></a></span>; <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide"> verum</span><br/>


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