<?xml version="1.0"?>
<div class="add">

<a NAME="E1:22_1_1"/><i><font color="Green" title="E14">A2</font></i>: 
( (  <a href="ens_1.html#K4" title="ENS_1:func.4">cod</a> <font color="Maroon" title="c2">m1</font> <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a>  <a href="xboole_0.html#K1" title="XBOOLE_0:func.1">{}</a>  or  <a href="ens_1.html#K3" title="ENS_1:func.3">dom</a> <font color="Maroon" title="c2">m1</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="xboole_0.html#K1" title="XBOOLE_0:func.1">{}</a>  ) &amp; <font color="Maroon" title="c2">m1</font> <a href="mcart_1.html#K2" title="MCART_1:func.2">`2</a>  is   <a href="funct_2.html#NM1" title="FUNCT_2:NM.1">Function</a> of  <a href="ens_1.html#K3" title="ENS_1:func.3">dom</a> <font color="Maroon" title="c2">m1</font>, <a href="ens_1.html#K4" title="ENS_1:func.4">cod</a> <font color="Maroon" title="c2">m1</font> &amp; (  <a href="ens_1.html#K4" title="ENS_1:func.4">cod</a> <font color="Maroon" title="c3">m2</font> <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a>  <a href="xboole_0.html#K1" title="XBOOLE_0:func.1">{}</a>  or  <a href="ens_1.html#K3" title="ENS_1:func.3">dom</a> <font color="Maroon" title="c3">m2</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="xboole_0.html#K1" title="XBOOLE_0:func.1">{}</a>  ) &amp; <font color="Maroon" title="c3">m2</font> <a href="mcart_1.html#K2" title="MCART_1:func.2">`2</a>  is   <a href="funct_2.html#NM1" title="FUNCT_2:NM.1">Function</a> of  <a href="ens_1.html#K3" title="ENS_1:func.3">dom</a> <font color="Maroon" title="c3">m2</font>, <a href="ens_1.html#K4" title="ENS_1:func.4">cod</a> <font color="Maroon" title="c3">m2</font> )
 
<b>by </b><i><a class="ref" href="ens_1.html#T9" target="_self" title="ENS_1:th.9">Th9</a></i>;<br/>
<a NAME="E2:22_1_1"/><b>then </b>
<span class="p1">(<span class="default"><font color="Maroon" title="c3">m2</font> <a href="mcart_1.html#K2" title="MCART_1:func.2">`2</a> </span>)</span> <a href="funct_1.html#NK3" title="FUNCT_1:NK.3">*</a> <span class="p1">(<span class="default"><font color="Maroon" title="c2">m1</font> <a href="mcart_1.html#K2" title="MCART_1:func.2">`2</a> </span>)</span> is   <a href="funct_2.html#NM1" title="FUNCT_2:NM.1">Function</a> of  <a href="ens_1.html#K3" title="ENS_1:func.3">dom</a> <font color="Maroon" title="c2">m1</font>, <a href="ens_1.html#K4" title="ENS_1:func.4">cod</a> <font color="Maroon" title="c3">m2</font>
 
<b>by </b><i><a class="txt" href="#E1:22"><i><font color="Green" title="E13">A1</font></i></a>, <a class="ref" href="funct_2.html#T19" title="FUNCT_2:th.19">FUNCT_2:19</a></i>;<br/>
<b>hence </b><a NAME="E3:22_1_1"/>
<span class="p1"><a href="tarski.html#K4" title="TARSKI:func.4">[</a><span class="default"><span class="p2"><a href="domain_1.html#K1" title="DOMAIN_1:func.1">[</a><span class="default"><span class="p3">(<span class="default"><a href="ens_1.html#K3" title="ENS_1:func.3">dom</a> <font color="Maroon" title="c2">m1</font></span>)</span>,<span class="p3">(<span class="default"><a href="ens_1.html#K4" title="ENS_1:func.4">cod</a> <font color="Maroon" title="c3">m2</font></span>)</span></span><a href="domain_1.html#K1" title="DOMAIN_1:func.1">]</a></span>,<span class="p2">(<span class="default"><span class="p3">(<span class="default"><font color="Maroon" title="c3">m2</font> <a href="mcart_1.html#K2" title="MCART_1:func.2">`2</a> </span>)</span> <a href="funct_1.html#NK3" title="FUNCT_1:NK.3">*</a> <span class="p3">(<span class="default"><font color="Maroon" title="c2">m1</font> <a href="mcart_1.html#K2" title="MCART_1:func.2">`2</a> </span>)</span></span>)</span></span><a href="tarski.html#K4" title="TARSKI:func.4">]</a></span> is    <a href="subset_1.html#M1" title="SUBSET_1:mode.1">Element</a> of  <a href="ens_1.html#K2" title="ENS_1:func.2">Maps</a> <font color="Maroon" title="c1">V</font>
 <b>by </b><i><a class="txt" href="#E1:22"><i><font color="Green" title="E13">A1</font></i></a>, <a class="txt" href="#E1:22_1_1"><i><font color="Green" title="E14">A2</font></i></a>, <a class="ref" href="ens_1.html#T5" target="_self" title="ENS_1:th.5">Th5</a></i>; <a class="txt" onclick="hs(this)" href="javascript:()"><i><font color="Red">::  thesis: </font></i></a><span class="hide"> verum</span><br/>


</div>
