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<b>let </b><font color="Maroon">c<sub>3</sub></font>, <font color="Maroon">c<sub>4</sub></font> be    <a href="cat_1.html#M2">Functor</a> of <span class="p1">(<span class="default"><a href="cat_1.html#K3">cod</a> <font color="Maroon">c<sub>2</sub></font></span>)</span> <a href="cat_5.html#K15" target="_self">-SliceCat</a> <font color="Maroon">c<sub>1</sub></font>,<span class="p1">(<span class="default"><a href="cat_1.html#K2">dom</a> <font color="Maroon">c<sub>2</sub></font></span>)</span> <a href="cat_5.html#K15" target="_self">-SliceCat</a> <font color="Maroon">c<sub>1</sub></font>;<br/>

<b>assume </b><b>that </b><br/><a NAME="E1:60_2_2"/><i><font color="Green">E38</font></i>: 
for <font color="Olive">b<sub>1</sub></font> being  <a href="cat_1.html#NM2">Morphism</a> of <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="cat_1.html#K3">cod</a> <font color="Maroon">c<sub>2</sub></font></span>)</span> <a href="cat_5.html#K15" target="_self">-SliceCat</a> <font color="Maroon">c<sub>1</sub></font></span>)</span> holds <font color="Maroon">c<sub>3</sub></font> <a href="funct_2.html#K3">.</a> <font color="Olive">b<sub>1</sub></font> <a href="hidden.html#R1">=</a> <span class="p1"><a href="cat_2.html#K13">[</a><span class="default"><span class="p2"><a href="cat_2.html#K13">[</a><span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><font color="Olive">b<sub>1</sub></font> <a href="cat_5.html#K20" target="_self">`11</a> </span>)</span> <a href="cat_1.html#K4">*</a> <font color="Maroon">c<sub>2</sub></font></span>)</span>,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><font color="Olive">b<sub>1</sub></font> <a href="cat_5.html#K21" target="_self">`12</a> </span>)</span> <a href="cat_1.html#K4">*</a> <font color="Maroon">c<sub>2</sub></font></span>)</span></span><a href="cat_2.html#K13">]</a></span>,<span class="p2">(<span class="default"><font color="Olive">b<sub>1</sub></font> <a href="cat_5.html#K19" target="_self">`2</a> </span>)</span></span><a href="cat_2.html#K13">]</a></span>
 <b>and </b><br/><a NAME="E2:60_2_2"/><i><font color="Green">E39</font></i>: 
for <font color="Olive">b<sub>1</sub></font> being  <a href="cat_1.html#NM2">Morphism</a> of <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="cat_1.html#K3">cod</a> <font color="Maroon">c<sub>2</sub></font></span>)</span> <a href="cat_5.html#K15" target="_self">-SliceCat</a> <font color="Maroon">c<sub>1</sub></font></span>)</span> holds <font color="Maroon">c<sub>4</sub></font> <a href="funct_2.html#K3">.</a> <font color="Olive">b<sub>1</sub></font> <a href="hidden.html#R1">=</a> <span class="p1"><a href="cat_2.html#K13">[</a><span class="default"><span class="p2"><a href="cat_2.html#K13">[</a><span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><font color="Olive">b<sub>1</sub></font> <a href="cat_5.html#K20" target="_self">`11</a> </span>)</span> <a href="cat_1.html#K4">*</a> <font color="Maroon">c<sub>2</sub></font></span>)</span>,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><font color="Olive">b<sub>1</sub></font> <a href="cat_5.html#K21" target="_self">`12</a> </span>)</span> <a href="cat_1.html#K4">*</a> <font color="Maroon">c<sub>2</sub></font></span>)</span></span><a href="cat_2.html#K13">]</a></span>,<span class="p2">(<span class="default"><font color="Olive">b<sub>1</sub></font> <a href="cat_5.html#K19" target="_self">`2</a> </span>)</span></span><a href="cat_2.html#K13">]</a></span>
 ;<br/>

<div><a class="txt" onclick="hs2(this)" href="javascript:()" title="60_2_2_1"><b>now </b></a><div class="add"><b>let </b><font color="Maroon">c<sub>5</sub></font> be   <a href="cat_1.html#NM2">Morphism</a> of <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="cat_1.html#K3">cod</a> <font color="Maroon">c<sub>2</sub></font></span>)</span> <a href="cat_5.html#K15" target="_self">-SliceCat</a> <font color="Maroon">c<sub>1</sub></font></span>)</span>;<br/><b>thus </b><font color="Maroon">c<sub>3</sub></font> <a href="funct_2.html#K3">.</a> <font color="Maroon">c<sub>5</sub></font> = 
<span class="p1"><a href="cat_2.html#K13">[</a><span class="default"><span class="p2"><a href="cat_2.html#K13">[</a><span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><font color="Maroon">c<sub>5</sub></font> <a href="cat_5.html#K20" target="_self">`11</a> </span>)</span> <a href="cat_1.html#K4">*</a> <font color="Maroon">c<sub>2</sub></font></span>)</span>,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><font color="Maroon">c<sub>5</sub></font> <a href="cat_5.html#K21" target="_self">`12</a> </span>)</span> <a href="cat_1.html#K4">*</a> <font color="Maroon">c<sub>2</sub></font></span>)</span></span><a href="cat_2.html#K13">]</a></span>,<span class="p2">(<span class="default"><font color="Maroon">c<sub>5</sub></font> <a href="cat_5.html#K19" target="_self">`2</a> </span>)</span></span><a href="cat_2.html#K13">]</a></span>
<b>by </b><i><a class="txt" href="cat_5.html#E1:60_2_2"><i><font color="Green">E38</font></i></a></i>
<br/>.= 
<font color="Maroon">c<sub>4</sub></font> <a href="funct_2.html#K3">.</a> <font color="Maroon">c<sub>5</sub></font>
<b>by </b><i><a class="txt" href="cat_5.html#E2:60_2_2"><i><font color="Green">E39</font></i></a></i>
;<br/></div><b>end;</b></div>
<b>hence </b><a NAME="E4:60_2_2"/>
<font color="Maroon">c<sub>3</sub></font> <a href="hidden.html#R1">=</a> <font color="Maroon">c<sub>4</sub></font>
 <b>by </b><i><a class="ref" href="funct_2.html#T113">FUNCT_2:113</a></i>;<br/>


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