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<b>let </b><font color="Maroon" title="c1">C</font> be   <a href="cat_4.html#NM1" title="CAT_4:NM.1">Cartesian_category</a>;<br/><b>let </b><font color="Maroon" title="c2">a</font> be   <a href="cat_1.html#NM1" title="CAT_1:NM.1">Object</a> of <font color="Maroon" title="c1">C</font>;<br/><b>let </b><font color="Maroon" title="c3">f1</font>, <font color="Maroon" title="c4">f2</font> be    <a href="cat_1.html#M1" title="CAT_1:mode.1">Morphism</a> of <font color="Maroon" title="c2">a</font>, <a href="cat_4.html#K1" title="CAT_4:func.1">[1]</a> <font color="Maroon" title="c1">C</font>;<br/>





<a NAME="E1:23"/>
 <a href="cat_4.html#K1" title="CAT_4:func.1">[1]</a> <font color="Maroon" title="c1">C</font> is <a href="cat_1.html#V7" title="CAT_1:attr.7">terminal</a>
 
<b>by </b><i><a class="ref" href="cat_4.html#D9" target="_self" title="CAT_4:def.9">Def9</a></i>;<br/>
<b>then consider </b><font color="Maroon" title="c5">f</font> being    <a href="cat_1.html#M1" title="CAT_1:mode.1">Morphism</a> of <font color="Maroon" title="c2">a</font>, <a href="cat_4.html#K1" title="CAT_4:func.1">[1]</a> <font color="Maroon" title="c1">C</font><b> such that </b><br/><a NAME="E3:23"/><i><font color="Green" title="E11">A1</font></i>: 
for <font color="Olive" title="b1">g</font> being   <a href="cat_1.html#M1" title="CAT_1:mode.1">Morphism</a> of <font color="Maroon" title="c2">a</font>, <a href="cat_4.html#K1" title="CAT_4:func.1">[1]</a> <font color="Maroon" title="c1">C</font> holds  <font color="Maroon" title="c5">f</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b1">g</font>
 <b>by </b><i><a class="ref" href="cat_1.html#D15" title="CAT_1:def.15">CAT_1:def 15</a></i>;<br/>
<b>thus </b><font color="Maroon" title="c3">f1</font> = 
<font color="Maroon" title="c5">f</font>
<b>by </b><i><a class="txt" href="cat_4.html#E3:23"><i><font color="Green" title="E11">A1</font></i></a></i>
<br/>.= 
<font color="Maroon" title="c4">f2</font>
<b>by </b><i><a class="txt" href="cat_4.html#E3:23"><i><font color="Green" title="E11">A1</font></i></a></i>
;<br/>


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