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<b>let </b><font color="Maroon" title="c1">A</font>, <font color="Maroon" title="c2">B</font> be   <a href="altcat_1.html#NM4" title="ALTCAT_1:NM.4">category</a>;<br/><b>let </b><font color="Maroon" title="c3">C</font> be  non <a href="struct_0.html#V3" title="STRUCT_0:attr.3">empty</a> <a href="altcat_2.html#NM2" title="ALTCAT_2:NM.2">subcategory</a> of <font color="Maroon" title="c1">A</font>;<br/><b>let </b><font color="Maroon" title="c4">F</font> be  <a href="functor0.html#V15" title="FUNCTOR0:attr.15">covariant</a>  <a href="functor0.html#M2" title="FUNCTOR0:mode.2">Functor</a> of <font color="Maroon" title="c1">A</font>,<font color="Maroon" title="c2">B</font>;<br/><b>let </b><font color="Maroon" title="c5">a</font>, <font color="Maroon" title="c6">b</font> be   <a href="altcat_1.html#NM1" title="ALTCAT_1:NM.1">object</a> of <font color="Maroon" title="c1">A</font>;<br/><b>let </b><font color="Maroon" title="c7">c</font>, <font color="Maroon" title="c8">d</font> be   <a href="altcat_1.html#NM1" title="ALTCAT_1:NM.1">object</a> of <font color="Maroon" title="c3">C</font>;<br/>









<b>assume </b><a NAME="E1:41"/><i><font color="Green" title="E25">A1</font></i>: 
( <font color="Maroon" title="c7">c</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c5">a</font> &amp; <font color="Maroon" title="c8">d</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c6">b</font> &amp; <span class="p1"><a href="altcat_1.html#K1" title="ALTCAT_1:func.1">&lt;^</a><span class="default"><font color="Maroon" title="c7">c</font>,<font color="Maroon" title="c8">d</font></span><a href="altcat_1.html#K1" title="ALTCAT_1:func.1">^&gt;</a></span> <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a>  <a href="xboole_0.html#K1" title="XBOOLE_0:func.1">{}</a>  )
 ;<br/>

<a NAME="E2:41"/><b>then </b><i><font color="Green" title="E26">A2</font></i>: 
( <span class="p1">(<span class="default"><a href="yellow20.html#K3" title="YELLOW20:func.3">incl</a> <font color="Maroon" title="c3">C</font></span>)</span> <a href="functor0.html#K3" title="FUNCTOR0:func.3">.</a> <font color="Maroon" title="c7">c</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c5">a</font> &amp; <span class="p1">(<span class="default"><a href="yellow20.html#K3" title="YELLOW20:func.3">incl</a> <font color="Maroon" title="c3">C</font></span>)</span> <a href="functor0.html#K3" title="FUNCTOR0:func.3">.</a> <font color="Maroon" title="c8">d</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c6">b</font> )
 
<b>by </b><i><a class="ref" href="functor0.html#T28" title="FUNCTOR0:th.28">FUNCTOR0:28</a></i>;<br/>
<b>let </b><font color="Maroon" title="c9">f</font> be   <a href="altcat_1.html#NM2" title="ALTCAT_1:NM.2">Morphism</a> of <font color="Maroon" title="c5">a</font>,<font color="Maroon" title="c6">b</font>;<br/><b>let </b><font color="Maroon" title="c10">g</font> be   <a href="altcat_1.html#NM2" title="ALTCAT_1:NM.2">Morphism</a> of <font color="Maroon" title="c7">c</font>,<font color="Maroon" title="c8">d</font>;<br/>



<b>assume </b><a NAME="E3:41"/>
<font color="Maroon" title="c10">g</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c9">f</font>
 ;<br/>

<a NAME="E4:41"/><b>then </b>
<span class="p1">(<span class="default"><a href="yellow20.html#K3" title="YELLOW20:func.3">incl</a> <font color="Maroon" title="c3">C</font></span>)</span> <a href="functor0.html#K6" title="FUNCTOR0:func.6">.</a> <font color="Maroon" title="c10">g</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c9">f</font>
 
<b>by </b><i><a class="txt" href="yellow20.html#E1:41"><i><font color="Green" title="E25">A1</font></i></a>, <a class="ref" href="yellow20.html#T28" target="_self" title="YELLOW20:th.28">Th28</a></i>;<br/>
<b>hence </b><a NAME="E5:41"/>
<span class="p1">(<span class="default"><font color="Maroon" title="c4">F</font> <a href="yellow20.html#K4" title="YELLOW20:func.4">|</a> <font color="Maroon" title="c3">C</font></span>)</span> <a href="functor0.html#K6" title="FUNCTOR0:func.6">.</a> <font color="Maroon" title="c10">g</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c4">F</font> <a href="functor0.html#K6" title="FUNCTOR0:func.6">.</a> <font color="Maroon" title="c9">f</font>
 <b>by </b><i><a class="txt" href="yellow20.html#E1:41"><i><font color="Green" title="E25">A1</font></i></a>, <a class="txt" href="yellow20.html#E2:41"><i><font color="Green" title="E26">A2</font></i></a>, <a class="ref" href="functor3.html#T6" title="FUNCTOR3:th.6">FUNCTOR3:6</a></i>;<br/>


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