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<b>let </b><font color="Maroon">c<sub>1</sub></font> be    <a href="hidden.html#M1">set</a> ;<br/><b>let </b><font color="Maroon">c<sub>2</sub></font>, <font color="Maroon">c<sub>3</sub></font> be    <a href="subset_1.html#M1">Element</a> of  <a href="coh_sp.html#K5" target="_self">MapsC</a> <font color="Maroon">c<sub>1</sub></font>;<br/>





<b>assume </b><a NAME="E1:39"/>
 <a href="coh_sp.html#K6" target="_self">dom</a> <font color="Maroon">c<sub>2</sub></font> <a href="hidden.html#R1">=</a>  <a href="coh_sp.html#K7" target="_self">cod</a> <font color="Maroon">c<sub>3</sub></font>
 ;<br/>

<b>then </b><span class="p1"><a href="tarski.html#K4">[</a><span class="default"><span class="p2"><a href="tarski.html#K4">[</a><span class="default"><span class="p3">(<span class="default"><a href="coh_sp.html#K6" target="_self">dom</a> <font color="Maroon">c<sub>3</sub></font></span>)</span>,<span class="p3">(<span class="default"><a href="coh_sp.html#K7" target="_self">cod</a> <font color="Maroon">c<sub>2</sub></font></span>)</span></span><a href="tarski.html#K4">]</a></span>,<span class="p2">(<span class="default"><span class="p3">(<span class="default"><font color="Maroon">c<sub>2</sub></font> <a href="mcart_1.html#K2">`2</a> </span>)</span> <a href="funct_1.html#NK3" target="_self">*</a> <span class="p3">(<span class="default"><font color="Maroon">c<sub>3</sub></font> <a href="mcart_1.html#K2">`2</a> </span>)</span></span>)</span></span><a href="tarski.html#K4">]</a></span> = 
<font color="Maroon">c<sub>2</sub></font> <a href="coh_sp.html#K9" target="_self">*</a> <font color="Maroon">c<sub>3</sub></font>
<b>by </b><i><a class="ref" href="coh_sp.html#D13" target="_self">Def13</a></i>
<br/>.= 
<span class="p1"><a href="tarski.html#K4">[</a><span class="default"><span class="p2"><a href="tarski.html#K4">[</a><span class="default"><span class="p3">(<span class="default"><a href="coh_sp.html#K6" target="_self">dom</a> <span class="p4">(<span class="default"><font color="Maroon">c<sub>2</sub></font> <a href="coh_sp.html#K9" target="_self">*</a> <font color="Maroon">c<sub>3</sub></font></span>)</span></span>)</span>,<span class="p3">(<span class="default"><a href="coh_sp.html#K7" target="_self">cod</a> <span class="p4">(<span class="default"><font color="Maroon">c<sub>2</sub></font> <a href="coh_sp.html#K9" target="_self">*</a> <font color="Maroon">c<sub>3</sub></font></span>)</span></span>)</span></span><a href="tarski.html#K4">]</a></span>,<span class="p2">(<span class="default"><span class="p3">(<span class="default"><font color="Maroon">c<sub>2</sub></font> <a href="coh_sp.html#K9" target="_self">*</a> <font color="Maroon">c<sub>3</sub></font></span>)</span> <a href="mcart_1.html#K2">`2</a> </span>)</span></span><a href="tarski.html#K4">]</a></span>
<b>by </b><i><a class="ref" href="coh_sp.html#T20" target="_self">Th20</a></i>
;<br/>
<b>hence </b><a NAME="E3:39"/>
( <span class="p1">(<span class="default"><font color="Maroon">c<sub>2</sub></font> <a href="coh_sp.html#K9" target="_self">*</a> <font color="Maroon">c<sub>3</sub></font></span>)</span> <a href="mcart_1.html#K2">`2</a>  <a href="hidden.html#R1">=</a> <span class="p1">(<span class="default"><font color="Maroon">c<sub>2</sub></font> <a href="mcart_1.html#K2">`2</a> </span>)</span> <a href="funct_1.html#NK3" target="_self">*</a> <span class="p1">(<span class="default"><font color="Maroon">c<sub>3</sub></font> <a href="mcart_1.html#K2">`2</a> </span>)</span> &amp;  <a href="coh_sp.html#K6" target="_self">dom</a> <span class="p1">(<span class="default"><font color="Maroon">c<sub>2</sub></font> <a href="coh_sp.html#K9" target="_self">*</a> <font color="Maroon">c<sub>3</sub></font></span>)</span> <a href="hidden.html#R1">=</a>  <a href="coh_sp.html#K6" target="_self">dom</a> <font color="Maroon">c<sub>3</sub></font> &amp;  <a href="coh_sp.html#K7" target="_self">cod</a> <span class="p1">(<span class="default"><font color="Maroon">c<sub>2</sub></font> <a href="coh_sp.html#K9" target="_self">*</a> <font color="Maroon">c<sub>3</sub></font></span>)</span> <a href="hidden.html#R1">=</a>  <a href="coh_sp.html#K7" target="_self">cod</a> <font color="Maroon">c<sub>2</sub></font> )
 <b>by </b><i><a class="txt" href="coh_sp.html#E34"><i><font color="Green">Lemma16</font></i></a>, <a class="ref" href="zfmisc_1.html#T33">ZFMISC_1:33</a></i>;<br/>


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