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<div><span class="kw">theorem </span><span class="lab"><font color="Green" title="E45">Th37</font></span>: <a NAME="T39"><span class="comment"><font color="firebrick">:: ISOCAT_2:39</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">A</font>, <font color="Olive" title="b2">B</font>, <font color="Olive" title="b3">C</font> being   <a href="cat_1.html#NM4" title="CAT_1:NM.4">Category</a><br/>  for <font color="Olive" title="b4">F1</font>, <font color="Olive" title="b5">G1</font> being    <a href="cat_1.html#M2" title="CAT_1:mode.2">Functor</a> of <font color="Olive" title="b1">A</font>,<font color="Olive" title="b2">B</font><br/>  for <font color="Olive" title="b6">F2</font>, <font color="Olive" title="b7">G2</font> being    <a href="cat_1.html#M2" title="CAT_1:mode.2">Functor</a> of <font color="Olive" title="b1">A</font>,<font color="Olive" title="b3">C</font>  st <font color="Olive" title="b4">F1</font> <a href="nattra_1.html#R2" title="NATTRA_1:pred.2">is_naturally_transformable_to</a> <font color="Olive" title="b5">G1</font> &amp; <font color="Olive" title="b6">F2</font> <a href="nattra_1.html#R2" title="NATTRA_1:pred.2">is_naturally_transformable_to</a> <font color="Olive" title="b7">G2</font> holds <br/> for <font color="Olive" title="b8">t1</font> being    <a href="nattra_1.html#M2" title="NATTRA_1:mode.2">natural_transformation</a> of <font color="Olive" title="b4">F1</font>,<font color="Olive" title="b5">G1</font><br/>  for <font color="Olive" title="b9">t2</font> being    <a href="nattra_1.html#M2" title="NATTRA_1:mode.2">natural_transformation</a> of <font color="Olive" title="b6">F2</font>,<font color="Olive" title="b7">G2</font> holds <br/> (  <a href="isocat_2.html#K11" title="ISOCAT_2:func.11">Pr1</a> <span class="p1"><a href="isocat_2.html#K14" title="ISOCAT_2:func.14">&lt;:</a><span class="default"><font color="Olive" title="b8">t1</font>,<font color="Olive" title="b9">t2</font></span><a href="isocat_2.html#K14" title="ISOCAT_2:func.14">:&gt;</a></span> <a href="funct_2.html#R2" title="FUNCT_2:pred.2">=</a> <font color="Olive" title="b8">t1</font> &amp;  <a href="isocat_2.html#K12" title="ISOCAT_2:func.12">Pr2</a> <span class="p1"><a href="isocat_2.html#K14" title="ISOCAT_2:func.14">&lt;:</a><span class="default"><font color="Olive" title="b8">t1</font>,<font color="Olive" title="b9">t2</font></span><a href="isocat_2.html#K14" title="ISOCAT_2:func.14">:&gt;</a></span> <a href="funct_2.html#R2" title="FUNCT_2:pred.2">=</a> <font color="Olive" title="b9">t2</font> )</div></div>
