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<b>let </b><font color="Maroon" title="c1">C</font>, <font color="Maroon" title="c2">B</font> be   <a href="cat_1.html#NM4" title="CAT_1:NM.4">Category</a>;<br/><b>let </b><font color="Maroon" title="c3">G1</font>, <font color="Maroon" title="c4">G2</font> be    <a href="cat_1.html#M2" title="CAT_1:mode.2">Functor</a> of <font color="Maroon" title="c2">B</font>,<font color="Maroon" title="c1">C</font>;<br/><b>let </b><font color="Maroon" title="c5">t</font> be    <a href="nattra_1.html#M2" title="NATTRA_1:mode.2">natural_transformation</a> of <font color="Maroon" title="c3">G1</font>,<font color="Maroon" title="c4">G2</font>;<br/>









<b>assume </b><a NAME="E1:48"/><i><font color="Green" title="E37">A1</font></i>: 
<font color="Maroon" title="c3">G1</font> <a href="nattra_1.html#R2" title="NATTRA_1:pred.2">is_naturally_transformable_to</a> <font color="Maroon" title="c4">G2</font>
 ;<br/>

<a NAME="E2:48"/><b>then </b><i><font color="Green" title="E38">A2</font></i>: 
<font color="Maroon" title="c3">G1</font> <a href="cat_1.html#K14" title="CAT_1:func.14">*</a> <span class="p1">(<span class="default"><a href="cat_1.html#K15" title="CAT_1:func.15">id</a> <font color="Maroon" title="c2">B</font></span>)</span> <a href="nattra_1.html#R2" title="NATTRA_1:pred.2">is_naturally_transformable_to</a> <font color="Maroon" title="c4">G2</font> <a href="cat_1.html#K14" title="CAT_1:func.14">*</a> <span class="p1">(<span class="default"><a href="cat_1.html#K15" title="CAT_1:func.15">id</a> <font color="Maroon" title="c2">B</font></span>)</span>
 
<b>by </b><i><a class="ref" href="isocat_1.html#T27" target="_self" title="ISOCAT_1:th.27">Th27</a></i>;<br/>
<b>thus </b><font color="Maroon" title="c5">t</font> <a href="isocat_1.html#K6" title="ISOCAT_1:func.6">(#)</a> <span class="p1">(<span class="default"><a href="nattra_1.html#K7" title="NATTRA_1:func.7">id</a> <span class="p2">(<span class="default"><a href="cat_1.html#K15" title="CAT_1:func.15">id</a> <font color="Maroon" title="c2">B</font></span>)</span></span>)</span> = 
<span class="p1">(<span class="default"><font color="Maroon" title="c5">t</font> <a href="isocat_1.html#K5" title="ISOCAT_1:func.5">*</a> <span class="p2">(<span class="default"><a href="cat_1.html#K15" title="CAT_1:func.15">id</a> <font color="Maroon" title="c2">B</font></span>)</span></span>)</span> <a href="nattra_1.html#K8" title="NATTRA_1:func.8">`*`</a> <span class="p1">(<span class="default"><a href="nattra_1.html#K7" title="NATTRA_1:func.7">id</a> <span class="p2">(<span class="default"><font color="Maroon" title="c3">G1</font> <a href="cat_1.html#K14" title="CAT_1:func.14">*</a> <span class="p3">(<span class="default"><a href="cat_1.html#K15" title="CAT_1:func.15">id</a> <font color="Maroon" title="c2">B</font></span>)</span></span>)</span></span>)</span>
<b>by </b><i><a class="ref" href="isocat_1.html#T38" target="_self" title="ISOCAT_1:th.38">Th38</a></i>
<br/>.= 
<font color="Maroon" title="c5">t</font> <a href="isocat_1.html#K5" title="ISOCAT_1:func.5">*</a> <span class="p1">(<span class="default"><a href="cat_1.html#K15" title="CAT_1:func.15">id</a> <font color="Maroon" title="c2">B</font></span>)</span>
<b>by </b><i><a class="txt" href="isocat_1.html#E2:48"><i><font color="Green" title="E38">A2</font></i></a>, <a class="ref" href="nattra_1.html#T26" title="NATTRA_1:th.26">NATTRA_1:26</a></i>
<br/>.= 
<font color="Maroon" title="c5">t</font>
<b>by </b><i><a class="txt" href="isocat_1.html#E1:48"><i><font color="Green" title="E37">A1</font></i></a>, <a class="ref" href="isocat_1.html#T39" target="_self" title="ISOCAT_1:th.39">Th39</a></i>
;<br/>


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