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<b>take </b><font color="Maroon">c<sub>1</sub></font> =  <a href="lang1.html#K10" target="_self">EmptyGrammar</a> 0;<br/>

<a NAME="E1:39_1_1"/><i><font color="Green">E19</font></i>: 
( the <a href="struct_0.html#U1">carrier</a> of <font color="Maroon">c<sub>1</sub></font> <a href="hidden.html#R1">=</a> <span class="p1"><a href="tarski.html#K1">{</a><span class="default">0</span><a href="tarski.html#K1">}</a></span> &amp; the <a href="lang1.html#U1" target="_self">Rules</a> of <font color="Maroon">c<sub>1</sub></font> <a href="hidden.html#R1">=</a> <span class="p1"><a href="tarski.html#K1">{</a><span class="default"><span class="p2"><a href="tarski.html#K4">[</a><span class="default">0,<a href="xboole_0.html#K1">{}</a> </span><a href="tarski.html#K4">]</a></span></span><a href="tarski.html#K1">}</a></span> )
 
<b>by </b><i><a class="ref" href="lang1.html#D7" target="_self">Def7</a></i>;<br/>
<b>thus </b><a NAME="E2:39_1_1"/>
<font color="Maroon">c<sub>1</sub></font> is <a href="lang1.html#V3" target="_self">efective</a>
 <div><a class="txt" onclick="hs2(this)" href="javascript:()" title="39_1_1_1"><b>proof </b></a><div class="add">

<b>thus </b><a NAME="E1:39_1_1_1"/>
not  <a href="lang1.html#K7" target="_self">Lang</a> <font color="Maroon">c<sub>1</sub></font> is <a href="xboole_0.html#V1">empty</a>
 <b>by </b><i><a class="ref" href="lang1.html#T11" target="_self">Th11</a></i>; <i><font color="Red">:: according to </font></i><a class="ref" href="lang1.html#D11" target="_self">LANG1:def 11</a><br/>

<a NAME="E2:39_1_1_1"/>
( the <a href="lang1.html#U2" target="_self">InitialSym</a> of <font color="Maroon">c<sub>1</sub></font> <a href="hidden.html#R1">=</a> 0 &amp;  <a href="xboole_0.html#K1">{}</a>  <a href="hidden.html#R1">=</a>  <a href="subset_1.html#K1">{}</a> the <a href="struct_0.html#U1">carrier</a> of <font color="Maroon">c<sub>1</sub></font> &amp; <span class="p1"><a href="tarski.html#K4">[</a><span class="default">0,<a href="xboole_0.html#K1">{}</a> </span><a href="tarski.html#K4">]</a></span> <a href="hidden.html#R2">in</a> <span class="p1"><a href="tarski.html#K1">{</a><span class="default"><span class="p2"><a href="tarski.html#K4">[</a><span class="default">0,<a href="xboole_0.html#K1">{}</a> </span><a href="tarski.html#K4">]</a></span></span><a href="tarski.html#K1">}</a></span> )
 
<b>by </b><i><a class="txt" href="lang1.html#E1:39_1_1"><i><font color="Green">E19</font></i></a>, <a class="ref" href="tarski.html#D1">TARSKI:def 1</a></i>;<br/>
<a NAME="E3:39_1_1_1"/><b>then </b>
( the <a href="lang1.html#U2" target="_self">InitialSym</a> of <font color="Maroon">c<sub>1</sub></font> <a href="lang1.html#R1" target="_self">==&gt;</a>  <a href="lang1.html#K2" target="_self">&lt;*&gt;</a> the <a href="struct_0.html#U1">carrier</a> of <font color="Maroon">c<sub>1</sub></font> &amp;  <a href="lang1.html#K6" target="_self">NonTerminals</a> <font color="Maroon">c<sub>1</sub></font> <a href="hidden.html#R1">=</a> <span class="p1">{<span class="default"> <font color="Olive">b<sub>1</sub></font> where B is   <a href="lang1.html#NM1">Symbol</a> of <font color="Maroon">c<sub>1</sub></font> : ex <font color="Olive">b<sub>1</sub></font> being  <a href="finseq_1.html#NM1">FinSequence</a> st <font color="Olive">b<sub>1</sub></font> <a href="lang1.html#R1" target="_self">==&gt;</a> <font color="Olive">b<sub>2</sub></font> </span>}</span>  )
 
<b>by </b><i><a class="txt" href="lang1.html#E1:39_1_1"><i><font color="Green">E19</font></i></a>, <a class="ref" href="lang1.html#D1" target="_self">Def1</a></i>;<br/>
<b>hence </b><a NAME="E4:39_1_1_1"/>
the <a href="lang1.html#U2" target="_self">InitialSym</a> of <font color="Maroon">c<sub>1</sub></font> <a href="hidden.html#R2">in</a>  <a href="lang1.html#K6" target="_self">NonTerminals</a> <font color="Maroon">c<sub>1</sub></font>
 ;<br/>

<b>thus </b><a NAME="E5:39_1_1_1"/>
for <font color="Olive">b<sub>1</sub></font> being  <a href="lang1.html#NM1">Symbol</a> of <font color="Maroon">c<sub>1</sub></font> st <font color="Olive">b<sub>1</sub></font> <a href="hidden.html#R2">in</a>  <a href="lang1.html#K5" target="_self">Terminals</a> <font color="Maroon">c<sub>1</sub></font> holds <br/>ex <font color="Olive">b<sub>2</sub></font> being  <a href="lang1.html#NM2">String</a> of <font color="Maroon">c<sub>1</sub></font> st <br/>( <font color="Olive">b<sub>2</sub></font> <a href="hidden.html#R2">in</a>  <a href="lang1.html#K7" target="_self">Lang</a> <font color="Maroon">c<sub>1</sub></font> &amp; <font color="Olive">b<sub>1</sub></font> <a href="hidden.html#R2">in</a>  <a href="relset_1.html#K5">rng</a> <font color="Olive">b<sub>2</sub></font> )
 <b>by </b><i><a class="ref" href="lang1.html#T10" target="_self">Th10</a></i>;<br/>


</div><b>end;</b></div>

<b>thus </b><a NAME="E3:39_1_1"/>
the <a href="lang1.html#U1" target="_self">Rules</a> of <font color="Maroon">c<sub>1</sub></font> is <a href="finset_1.html#V1">finite</a>
 <b>by </b><i><a class="txt" href="lang1.html#E1:39_1_1"><i><font color="Green">E19</font></i></a></i>; <i><font color="Red">:: according to </font></i><a class="ref" href="lang1.html#D12" target="_self">LANG1:def 12</a><br/>


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