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<div>:: <span class="kw">deftheorem </span><span class="lab"><font color="Green" title="E36">Def15</font></span>   defines <a href="nattra_1.html#K8" title="NATTRA_1:func.8">NatTrans</a> <a onclick="hs(this)" href="javascript:()">NATTRA_1:def 16 : <br/></a><span> for <font color="Olive" title="b1">A</font>, <font color="Olive" title="b2">B</font> being   <a href="cat_1.html#NM4" title="CAT_1:NM.4">Category</a><br/>  for <font color="Olive">b<sub>3</sub></font> being    <a href="nattra_1.html#M4" title="NATTRA_1:mode.4">NatTrans-DOMAIN</a> of <font color="Olive" title="b1">A</font>,<font color="Olive" title="b2">B</font> holds <br/> ( <font color="Olive">b<sub>3</sub></font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="nattra_1.html#K8" title="NATTRA_1:func.8">NatTrans</a> (<font color="Olive" title="b1">A</font>,<font color="Olive" title="b2">B</font>) iff  for <font color="Olive" title="b4">x</font> being    <a href="hidden.html#M2" title="HIDDEN:mode.2">set</a>  holds <br/> ( <font color="Olive" title="b4">x</font> <a href="tarski.html#R2" title="TARSKI:pred.2">in</a> <font color="Olive">b<sub>3</sub></font> iff  ex <font color="Olive" title="b5">F1</font>, <font color="Olive" title="b6">F2</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> ex <font color="Olive" title="b7">t</font> being    <a href="nattra_1.html#M2" title="NATTRA_1:mode.2">natural_transformation</a> of <font color="Olive" title="b5">F1</font>,<font color="Olive" title="b6">F2</font> st <br/>( <font color="Olive" title="b4">x</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1"><a href="tarski.html#K4" title="TARSKI:func.4">[</a><span class="default"><span class="p2"><a href="tarski.html#K4" title="TARSKI:func.4">[</a><span class="default"><font color="Olive" title="b5">F1</font>,<font color="Olive" title="b6">F2</font></span><a href="tarski.html#K4" title="TARSKI:func.4">]</a></span>,<font color="Olive" title="b7">t</font></span><a href="tarski.html#K4" title="TARSKI:func.4">]</a></span> &amp; <font color="Olive" title="b5">F1</font> <a href="nattra_1.html#R2" title="NATTRA_1:pred.2">is_naturally_transformable_to</a> <font color="Olive" title="b6">F2</font> ) ) );<br/></span></div>
