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<b>set </b><font color="Maroon">c<sub>2</sub></font> =  <a href="catalg_1.html#K2" target="_self">CatSign</a> <font color="Maroon">c<sub>1</sub></font>;<br/>
<a NAME="E1:30_1_1"/>
(  <a href="catalg_1.html#K2" target="_self">CatSign</a> <font color="Maroon">c<sub>1</sub></font> is    <a href="instalg1.html#M1">Subsignature</a> of  <a href="catalg_1.html#K2" target="_self">CatSign</a> <font color="Maroon">c<sub>1</sub></font> &amp; the <a href="struct_0.html#U1">carrier</a> of <span class="p1">(<span class="default"><a href="catalg_1.html#K2" target="_self">CatSign</a> <font color="Maroon">c<sub>1</sub></font></span>)</span> <a href="hidden.html#R1">=</a> <span class="p1"><a href="zfmisc_1.html#K2">[:</a><span class="default"><span class="p2"><a href="tarski.html#K1">{</a><span class="default">0</span><a href="tarski.html#K1">}</a></span>,<span class="p2">(<span class="default">2 <a href="finseq_2.html#K4">-tuples_on</a> <font color="Maroon">c<sub>1</sub></font></span>)</span></span><a href="zfmisc_1.html#K2">:]</a></span> )
 
<b>by </b><i><a class="ref" href="catalg_1.html#D5" target="_self">Def5</a>, <a class="ref" href="instalg1.html#T16">INSTALG1:16</a></i>;<br/>
<b>then reconsider </b><font color="Maroon">c<sub>3</sub></font> =  <a href="catalg_1.html#K2" target="_self">CatSign</a> <font color="Maroon">c<sub>1</sub></font> as   <a href="catalg_1.html#NM2">CatSignature</a> <b>by </b><i><a class="ref" href="catalg_1.html#D6" target="_self">Def6</a></i>;<br/>
<b>take </b>
<font color="Maroon">c<sub>3</sub></font>
;<br/>

<b>thus </b><a NAME="E3:30_1_1"/>
(  <a href="catalg_1.html#K2" target="_self">CatSign</a> <font color="Maroon">c<sub>1</sub></font> is    <a href="instalg1.html#M1">Subsignature</a> of <font color="Maroon">c<sub>3</sub></font> &amp; the <a href="struct_0.html#U1">carrier</a> of <font color="Maroon">c<sub>3</sub></font> <a href="hidden.html#R1">=</a> <span class="p1"><a href="zfmisc_1.html#K2">[:</a><span class="default"><span class="p2"><a href="tarski.html#K1">{</a><span class="default">0</span><a href="tarski.html#K1">}</a></span>,<span class="p2">(<span class="default">2 <a href="finseq_2.html#K4">-tuples_on</a> <font color="Maroon">c<sub>1</sub></font></span>)</span></span><a href="zfmisc_1.html#K2">:]</a></span> )
 <b>by </b><i><a class="ref" href="catalg_1.html#D5" target="_self">Def5</a>, <a class="ref" href="instalg1.html#T16">INSTALG1:16</a></i>;<br/>


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