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<b>let </b><font color="Maroon" title="c1">D</font>, <font color="Maroon" title="c2">D'</font>, <font color="Maroon" title="c3">E</font>, <font color="Maroon" title="c4">C</font>, <font color="Maroon" title="c5">C'</font> be  non <a href="xboole_0.html#V1" title="XBOOLE_0:attr.1">empty</a>  <a href="hidden.html#M1" title="HIDDEN:mode.1">set</a> ;<br/><b>let </b><font color="Maroon" title="c6">c</font> be    <a href="subset_1.html#M1" title="SUBSET_1:mode.1">Element</a> of <font color="Maroon" title="c4">C</font>;<br/><b>let </b><font color="Maroon" title="c7">c'</font> be    <a href="subset_1.html#M1" title="SUBSET_1:mode.1">Element</a> of <font color="Maroon" title="c5">C'</font>;<br/><b>let </b><font color="Maroon" title="c8">F</font> be   <a href="funct_2.html#NM1" title="FUNCT_2:NM.1">Function</a> of <span class="p1"><a href="zfmisc_1.html#K2" title="ZFMISC_1:func.2">[:</a><span class="default"><font color="Maroon" title="c1">D</font>,<font color="Maroon" title="c2">D'</font></span><a href="zfmisc_1.html#K2" title="ZFMISC_1:func.2">:]</a></span>,<font color="Maroon" title="c3">E</font>;<br/><b>let </b><font color="Maroon" title="c9">f</font> be   <a href="funct_2.html#NM1" title="FUNCT_2:NM.1">Function</a> of <font color="Maroon" title="c4">C</font>,<font color="Maroon" title="c1">D</font>;<br/><b>let </b><font color="Maroon" title="c10">g</font> be   <a href="funct_2.html#NM1" title="FUNCT_2:NM.1">Function</a> of <font color="Maroon" title="c5">C'</font>,<font color="Maroon" title="c2">D'</font>;<br/>



















<b>set </b><font color="Maroon" title="c11">H</font> = <font color="Maroon" title="c8">F</font> <a href="finseqop.html#K7" title="FINSEQOP:func.7">*</a> <font color="Maroon" title="c9">f</font>,<font color="Maroon" title="c10">g</font>;<br/>
<a NAME="E1:95"/>
<font color="Maroon" title="c8">F</font> <a href="finseqop.html#K7" title="FINSEQOP:func.7">*</a> <font color="Maroon" title="c9">f</font>,<font color="Maroon" title="c10">g</font> is   <a href="funct_2.html#NM1" title="FUNCT_2:NM.1">Function</a> of <span class="p1"><a href="zfmisc_1.html#K2" title="ZFMISC_1:func.2">[:</a><span class="default"><font color="Maroon" title="c4">C</font>,<font color="Maroon" title="c5">C'</font></span><a href="zfmisc_1.html#K2" title="ZFMISC_1:func.2">:]</a></span>,<font color="Maroon" title="c3">E</font>
 
<b>by </b><i><a class="ref" href="finseqop.html#T84" target="_self" title="FINSEQOP:th.84">Th84</a></i>;<br/>
<a NAME="E2:95"/><b>then </b>
(  <a href="relat_1.html#NK2" title="RELAT_1:NK.2">dom</a> <span class="p1">(<span class="default"><font color="Maroon" title="c8">F</font> <a href="finseqop.html#K7" title="FINSEQOP:func.7">*</a> <font color="Maroon" title="c9">f</font>,<font color="Maroon" title="c10">g</font></span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1"><a href="zfmisc_1.html#K2" title="ZFMISC_1:func.2">[:</a><span class="default"><font color="Maroon" title="c4">C</font>,<font color="Maroon" title="c5">C'</font></span><a href="zfmisc_1.html#K2" title="ZFMISC_1:func.2">:]</a></span> &amp; <font color="Maroon" title="c6">c</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a> <font color="Maroon" title="c4">C</font> &amp; <font color="Maroon" title="c7">c'</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a> <font color="Maroon" title="c5">C'</font> )
 
<b>by </b><i><a class="ref" href="funct_2.html#D1" title="FUNCT_2:def.1">FUNCT_2:def 1</a></i>;<br/>
<a NAME="E3:95"/><b>then </b>
<span class="p1"><a href="tarski.html#K4" title="TARSKI:func.4">[</a><span class="default"><font color="Maroon" title="c6">c</font>,<font color="Maroon" title="c7">c'</font></span><a href="tarski.html#K4" title="TARSKI:func.4">]</a></span> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a>  <a href="relat_1.html#NK2" title="RELAT_1:NK.2">dom</a> <span class="p1">(<span class="default"><font color="Maroon" title="c8">F</font> <a href="finseqop.html#K7" title="FINSEQOP:func.7">*</a> <font color="Maroon" title="c9">f</font>,<font color="Maroon" title="c10">g</font></span>)</span>
 
<b>by </b><i><a class="ref" href="zfmisc_1.html#D2" title="ZFMISC_1:def.2">ZFMISC_1:def 2</a></i>;<br/>
<b>hence </b><a NAME="E4:95"/>
<span class="p1">(<span class="default"><font color="Maroon" title="c8">F</font> <a href="finseqop.html#K7" title="FINSEQOP:func.7">*</a> <font color="Maroon" title="c9">f</font>,<font color="Maroon" title="c10">g</font></span>)</span> <a href="binop_1.html#K1" title="BINOP_1:func.1">.</a> <font color="Maroon" title="c6">c</font>,<font color="Maroon" title="c7">c'</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c8">F</font> <a href="binop_1.html#K2" title="BINOP_1:func.2">.</a> <span class="p1">(<span class="default"><font color="Maroon" title="c9">f</font> <a href="funct_2.html#K3" title="FUNCT_2:func.3">.</a> <font color="Maroon" title="c6">c</font></span>)</span>,<span class="p1">(<span class="default"><font color="Maroon" title="c10">g</font> <a href="funct_2.html#K3" title="FUNCT_2:func.3">.</a> <font color="Maroon" title="c7">c'</font></span>)</span>
 <b>by </b><i><a class="ref" href="finseqop.html#T82" target="_self" title="FINSEQOP:th.82">Th82</a></i>;<br/>


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