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<b>let </b><font color="Maroon" title="c1">A</font>, <font color="Maroon" title="c2">B</font> be   <a href="cat_1.html#NM4" title="CAT_1:NM.4">Category</a>;<br/>



<b>assume </b><b>that </b><br/><a NAME="E1:69"/><i><font color="Green" title="E54">A1</font></i>: 
<font color="Maroon" title="c1">A</font> is <a href="nattra_1.html#V2" title="NATTRA_1:attr.2">discrete</a>
 <b>and </b><br/><a NAME="E2:69"/><i><font color="Green" title="E55">A2</font></i>: 
<font color="Maroon" title="c2">B</font> is <a href="nattra_1.html#V2" title="NATTRA_1:attr.2">discrete</a>
 ;<br/>

<b>let </b><font color="Maroon" title="c3">f</font> be   <a href="cat_1.html#NM2" title="CAT_1:NM.2">Morphism</a> of <span class="p1"><a href="cat_2.html#K11" title="CAT_2:func.11">[:</a><span class="default"><font color="Maroon" title="c1">A</font>,<font color="Maroon" title="c2">B</font></span><a href="cat_2.html#K11" title="CAT_2:func.11">:]</a></span>; <i><font color="Red">:: according to </font></i><a class="ref" href="nattra_1.html#D19" target="_self" title="NATTRA_1:def.19">NATTRA_1:def 19</a><br/>

<b>consider </b><font color="Maroon" title="c4">f1</font> being   <a href="cat_1.html#NM2" title="CAT_1:NM.2">Morphism</a> of <font color="Maroon" title="c1">A</font>, <font color="Maroon" title="c5">f2</font> being   <a href="cat_1.html#NM2" title="CAT_1:NM.2">Morphism</a> of <font color="Maroon" title="c2">B</font><b> such that </b><br/><a NAME="E4:69"/><i><font color="Green" title="E56">A3</font></i>: 
<font color="Maroon" title="c3">f</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1"><a href="cat_2.html#K13" title="CAT_2:func.13">[</a><span class="default"><font color="Maroon" title="c4">f1</font>,<font color="Maroon" title="c5">f2</font></span><a href="cat_2.html#K13" title="CAT_2:func.13">]</a></span>
 <b>by </b><i><a class="ref" href="domain_1.html#T9" title="DOMAIN_1:th.9">DOMAIN_1:9</a></i>;<br/>
<b>consider </b><font color="Maroon" title="c6">a</font> being   <a href="cat_1.html#NM1" title="CAT_1:NM.1">Object</a> of <font color="Maroon" title="c1">A</font><b> such that </b><br/><a NAME="E6:69"/><i><font color="Green" title="E57">A4</font></i>: 
<font color="Maroon" title="c4">f1</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="cat_1.html#K10" title="CAT_1:func.10">id</a> <font color="Maroon" title="c6">a</font>
 <b>by </b><i><a class="txt" href="nattra_1.html#E1:69"><i><font color="Green" title="E54">A1</font></i></a>, <a class="ref" href="nattra_1.html#D19" target="_self" title="NATTRA_1:def.19">Def19</a></i>;<br/>
<b>consider </b><font color="Maroon" title="c7">b</font> being   <a href="cat_1.html#NM1" title="CAT_1:NM.1">Object</a> of <font color="Maroon" title="c2">B</font><b> such that </b><br/><a NAME="E8:69"/><i><font color="Green" title="E58">A5</font></i>: 
<font color="Maroon" title="c5">f2</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="cat_1.html#K10" title="CAT_1:func.10">id</a> <font color="Maroon" title="c7">b</font>
 <b>by </b><i><a class="txt" href="nattra_1.html#E2:69"><i><font color="Green" title="E55">A2</font></i></a>, <a class="ref" href="nattra_1.html#D19" target="_self" title="NATTRA_1:def.19">Def19</a></i>;<br/>
<b>take </b>
<span class="p1"><a href="cat_2.html#K12" title="CAT_2:func.12">[</a><span class="default"><font color="Maroon" title="c6">a</font>,<font color="Maroon" title="c7">b</font></span><a href="cat_2.html#K12" title="CAT_2:func.12">]</a></span>
;<br/>

<b>thus </b><a NAME="E9:69"/>
<font color="Maroon" title="c3">f</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="cat_1.html#K10" title="CAT_1:func.10">id</a> <span class="p1"><a href="cat_2.html#K12" title="CAT_2:func.12">[</a><span class="default"><font color="Maroon" title="c6">a</font>,<font color="Maroon" title="c7">b</font></span><a href="cat_2.html#K12" title="CAT_2:func.12">]</a></span>
 <b>by </b><i><a class="txt" href="nattra_1.html#E4:69"><i><font color="Green" title="E56">A3</font></i></a>, <a class="txt" href="nattra_1.html#E6:69"><i><font color="Green" title="E57">A4</font></i></a>, <a class="txt" href="nattra_1.html#E8:69"><i><font color="Green" title="E58">A5</font></i></a>, <a class="ref" href="cat_2.html#T41" title="CAT_2:th.41">CAT_2:41</a></i>;<br/>


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