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<b>let </b><font color="Maroon" title="c1">C</font> be   <a href="cat_4.html#NM2" title="CAT_4:NM.2">Cocartesian_category</a>; <a class="txt" onclick="hs(this)" href="javascript:()"><i><font color="Red">::  thesis: </font></i></a><span class="hide"> for <font color="Olive" title="b1">a</font> being  <a href="cat_1.html#NM1" title="CAT_1:NM.1">Object</a> of <font color="Maroon" title="c1">C</font><br/> for <font color="Olive" title="b2">f1</font>, <font color="Olive" title="b3">f2</font> being   <a href="cat_1.html#M1" title="CAT_1:mode.1">Morphism</a> of  <a href="cat_4.html#K19" title="CAT_4:func.19">[0]</a> <font color="Maroon" title="c1">C</font>,<font color="Olive" title="b1">a</font> holds  <font color="Olive" title="b2">f1</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b3">f2</font></span><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>; <a class="txt" onclick="hs(this)" href="javascript:()"><i><font color="Red">::  thesis: </font></i></a><span class="hide"> for <font color="Olive" title="b1">f1</font>, <font color="Olive" title="b2">f2</font> being   <a href="cat_1.html#M1" title="CAT_1:mode.1">Morphism</a> of  <a href="cat_4.html#K19" title="CAT_4:func.19">[0]</a> <font color="Maroon" title="c1">C</font>,<font color="Maroon" title="c2">a</font> holds  <font color="Olive" title="b1">f1</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b2">f2</font></span><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  <a href="cat_4.html#K19" title="CAT_4:func.19">[0]</a> <font color="Maroon" title="c1">C</font>,<font color="Maroon" title="c2">a</font>; <a class="txt" onclick="hs(this)" href="javascript:()"><i><font color="Red">::  thesis: </font></i></a><span class="hide"> <font color="Maroon" title="c3">f1</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c4">f2</font></span><br/>





<a NAME="E1:81"/>
 <a href="cat_4.html#K19" title="CAT_4:func.19">[0]</a> <font color="Maroon" title="c1">C</font> is <a href="cat_1.html#V7" title="CAT_1:attr.7">initial</a>
 
<b>by </b><i><a class="ref" href="cat_4.html#D27" target="_self" title="CAT_4:def.27">Def27</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  <a href="cat_4.html#K19" title="CAT_4:func.19">[0]</a> <font color="Maroon" title="c1">C</font>,<font color="Maroon" title="c2">a</font><b> such that </b><br/><a NAME="E3:81"/><i><font color="Green" title="E38">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  <a href="cat_4.html#K19" title="CAT_4:func.19">[0]</a> <font color="Maroon" title="c1">C</font>,<font color="Maroon" title="c2">a</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#D16" title="CAT_1:def.16">CAT_1:def 16</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="#E3:81"><i><font color="Green" title="E38">A1</font></i></a></i>
<br/>.= 
<font color="Maroon" title="c4">f2</font>
<b>by </b><i><a class="txt" href="#E3:81"><i><font color="Green" title="E38">A1</font></i></a></i>
; <a class="txt" onclick="hs(this)" href="javascript:()"><i><font color="Red">::  thesis: </font></i></a><span class="hide"> verum</span><br/>


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