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<span class="kw">set </span><font color="Maroon" title="c2">G</font> =  <a href="comput_1.html#K14" title="COMPUT_1:func.14">(1,2)-&gt;(1,?,2)</a> <font color="Maroon" title="c1">g</font>;<br/>
<a NAME="E1:156_1_1"/>
 <a href="relat_1.html#NK2" title="RELAT_1:NK.2">dom</a> <span class="p1"><a href="funct_6.html#K6" title="FUNCT_6:func.6">&lt;:</a><span class="default"><span class="p2"><a href="finseq_1.html#K10" title="FINSEQ_1:func.10">&lt;*</a><span class="default"><span class="p3">(<span class="default">3 <a href="comput_1.html#K5" title="COMPUT_1:func.5">proj</a> 1</span>)</span>,<span class="p3">(<span class="default">3 <a href="comput_1.html#K5" title="COMPUT_1:func.5">proj</a> 3</span>)</span></span><a href="finseq_1.html#K10" title="FINSEQ_1:func.10">*&gt;</a></span></span><a href="funct_6.html#K6" title="FUNCT_6:func.6">:&gt;</a></span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default"><a href="relat_1.html#NK2" title="RELAT_1:NK.2">dom</a> <span class="p2">(<span class="default">3 <a href="comput_1.html#K5" title="COMPUT_1:func.5">proj</a> 1</span>)</span></span>)</span> <a href="xboole_0.html#K3" title="XBOOLE_0:func.3">/\</a> <span class="p1">(<span class="default"><a href="relat_1.html#NK2" title="RELAT_1:NK.2">dom</a> <span class="p2">(<span class="default">3 <a href="comput_1.html#K5" title="COMPUT_1:func.5">proj</a> 3</span>)</span></span>)</span>
 
<span class="kw">by</span> <span class="lab"><a class="ref" href="funct_6.html#T62" title="FUNCT_6:th.62">FUNCT_6:62</a></span>;<br/>
<span class="kw">then </span> <a href="relat_1.html#NK2" title="RELAT_1:NK.2">dom</a> <span class="p1"><a href="funct_6.html#K6" title="FUNCT_6:func.6">&lt;:</a><span class="default"><span class="p2"><a href="finseq_1.html#K10" title="FINSEQ_1:func.10">&lt;*</a><span class="default"><span class="p3">(<span class="default">3 <a href="comput_1.html#K5" title="COMPUT_1:func.5">proj</a> 1</span>)</span>,<span class="p3">(<span class="default">3 <a href="comput_1.html#K5" title="COMPUT_1:func.5">proj</a> 3</span>)</span></span><a href="finseq_1.html#K10" title="FINSEQ_1:func.10">*&gt;</a></span></span><a href="funct_6.html#K6" title="FUNCT_6:func.6">:&gt;</a></span> = 
<span class="p1">(<span class="default">3 <a href="finseq_2.html#K4" title="FINSEQ_2:func.4">-tuples_on</a> <a href="numbers.html#K5" title="NUMBERS:func.5">NAT</a> </span>)</span> <a href="xboole_0.html#K3" title="XBOOLE_0:func.3">/\</a> <span class="p1">(<span class="default"><a href="relat_1.html#NK2" title="RELAT_1:NK.2">dom</a> <span class="p2">(<span class="default">3 <a href="comput_1.html#K5" title="COMPUT_1:func.5">proj</a> 3</span>)</span></span>)</span>
<span class="kw">by</span> <span class="lab"><a class="ref" href="comput_1.html#T40" target="_self" title="COMPUT_1:th.40">Th40</a></span>
<br/>.= 
<span class="p1">(<span class="default">3 <a href="finseq_2.html#K4" title="FINSEQ_2:func.4">-tuples_on</a> <a href="numbers.html#K5" title="NUMBERS:func.5">NAT</a> </span>)</span> <a href="xboole_0.html#K3" title="XBOOLE_0:func.3">/\</a> <span class="p1">(<span class="default">3 <a href="finseq_2.html#K4" title="FINSEQ_2:func.4">-tuples_on</a> <a href="numbers.html#K5" title="NUMBERS:func.5">NAT</a> </span>)</span>
<span class="kw">by</span> <span class="lab"><a class="ref" href="comput_1.html#T40" target="_self" title="COMPUT_1:th.40">Th40</a></span>
<br/>.= 
3 <a href="finseq_2.html#K4" title="FINSEQ_2:func.4">-tuples_on</a> <a href="numbers.html#K5" title="NUMBERS:func.5">NAT</a> 

;<br/>
<a NAME="E3:156_1_1"/><span class="kw">then </span>
 <a href="relat_1.html#NK2" title="RELAT_1:NK.2">dom</a> <span class="p1">(<span class="default"><a href="comput_1.html#K14" title="COMPUT_1:func.14">(1,2)-&gt;(1,?,2)</a> <font color="Maroon" title="c1">g</font></span>)</span> <a href="tarski.html#R1" title="TARSKI:pred.1">c=</a> 3 <a href="finseq_2.html#K4" title="FINSEQ_2:func.4">-tuples_on</a> <a href="numbers.html#K5" title="NUMBERS:func.5">NAT</a> 
 
<span class="kw">by</span> <span class="lab"><a class="ref" href="relat_1.html#T44" title="RELAT_1:th.44">RELAT_1:44</a></span>;<br/>
<span class="kw">hence </span><a NAME="E4:156_1_1"/>
 <a href="relat_1.html#NK2" title="RELAT_1:NK.2">dom</a> <span class="p1">(<span class="default"><a href="comput_1.html#K14" title="COMPUT_1:func.14">(1,2)-&gt;(1,?,2)</a> <font color="Maroon" title="c1">g</font></span>)</span> is  <a href="card_3.html#V2" title="CARD_3:attr.2">with_common_domain</a> 
 ; <span class="comment"><font color="Red">:: according to </font></span><a class="ref" href="unialg_1.html#D1" title="UNIALG_1:def.1">UNIALG_1:def 1</a> <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="Red">::  thesis: </font></span></a><span class="hide"> verum</span><br/>


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