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<a NAME="E1:68_1_1"/>
( <font color="Maroon">c<sub>3</sub></font> <a href="hidden.html#R2">in</a> the <a href="msualg_1.html#U1">OperSymbols</a> of <span class="p1">(<span class="default"><a href="pua2mss1.html#K11" target="_self">MSSign</a> <font color="Maroon">c<sub>1</sub></font>,<font color="Maroon">c<sub>2</sub></font></span>)</span> &amp; the <a href="msualg_1.html#U1">OperSymbols</a> of <span class="p1">(<span class="default"><a href="pua2mss1.html#K11" target="_self">MSSign</a> <font color="Maroon">c<sub>1</sub></font>,<font color="Maroon">c<sub>2</sub></font></span>)</span> <a href="hidden.html#R1">=</a> <span class="p1">{<span class="default"> <span class="p2"><a href="tarski.html#K4">[</a><span class="default"><font color="Olive">b<sub>1</sub></font>,<font color="Olive">b<sub>2</sub></font></span><a href="tarski.html#K4">]</a></span> where B is   <a href="pua2mss1.html#NM2">OperSymbol</a> of <font color="Maroon">c<sub>1</sub></font>, B is    <a href="finseq_2.html#M2">Element</a> of <font color="Maroon">c<sub>2</sub></font> <a href="finseq_2.html#K3">*</a>  :  <a href="card_3.html#K4">product</a> <font color="Olive">b<sub>2</sub></font> <a href="subset_1.html#R2">meets</a>  <a href="relset_1.html#K4">dom</a> <span class="p1">(<span class="default"><a href="pua2mss1.html#K2" target="_self">Den</a> <font color="Olive">b<sub>1</sub></font>,<font color="Maroon">c<sub>1</sub></font></span>)</span> </span>}</span>  )
 
<b>by </b><i><a class="ref" href="pua2mss1.html#D15" target="_self">Def15</a></i>;<br/>
<a NAME="E2:68_1_1"/><b>then </b>
ex <font color="Olive">b<sub>1</sub></font> being  <a href="pua2mss1.html#NM2">OperSymbol</a> of <font color="Maroon">c<sub>1</sub></font>ex <font color="Olive">b<sub>2</sub></font> being   <a href="finseq_2.html#M2">Element</a> of <font color="Maroon">c<sub>2</sub></font> <a href="finseq_2.html#K3">*</a>  st <br/>( <font color="Maroon">c<sub>3</sub></font> <a href="hidden.html#R1">=</a> <span class="p1"><a href="tarski.html#K4">[</a><span class="default"><font color="Olive">b<sub>1</sub></font>,<font color="Olive">b<sub>2</sub></font></span><a href="tarski.html#K4">]</a></span> &amp;  <a href="card_3.html#K4">product</a> <font color="Olive">b<sub>2</sub></font> <a href="subset_1.html#R2">meets</a>  <a href="relset_1.html#K4">dom</a> <span class="p1">(<span class="default"><a href="pua2mss1.html#K2" target="_self">Den</a> <font color="Olive">b<sub>1</sub></font>,<font color="Maroon">c<sub>1</sub></font></span>)</span> )
 
;<br/>
<b>hence </b><a NAME="E3:68_1_1"/>
<font color="Maroon">c<sub>3</sub></font> <a href="mcart_1.html#K1">`1</a>  is   <a href="pua2mss1.html#NM2">OperSymbol</a> of <font color="Maroon">c<sub>1</sub></font>
 <b>by </b><i><a class="ref" href="mcart_1.html#T7">MCART_1:7</a></i>;<br/>


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