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<div>:: <span class="kw">deftheorem </span>   defines <a href="nattra_1.html#R3" title="NATTRA_1:pred.3">are_naturally_equivalent</a> <a onclick="hs(this)" href="javascript:()">NATTRA_1:def 11 : <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" title="b3">F1</font>, <font color="Olive" title="b4">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> holds <br/> ( <font color="Olive" title="b3">F1</font>,<font color="Olive" title="b4">F2</font> <a href="nattra_1.html#R3" title="NATTRA_1:pred.3">are_naturally_equivalent</a>  iff ( <font color="Olive" title="b3">F1</font> <a href="nattra_1.html#R2" title="NATTRA_1:pred.2">is_naturally_transformable_to</a> <font color="Olive" title="b4">F2</font> &amp;  ex <font color="Olive" title="b5">t</font> being    <a href="nattra_1.html#M2" title="NATTRA_1:mode.2">natural_transformation</a> of <font color="Olive" title="b3">F1</font>,<font color="Olive" title="b4">F2</font> st <font color="Olive" title="b5">t</font> is  <a href="nattra_1.html#V1" title="NATTRA_1:attr.1">invertible</a>  ) );<br/></span></div>
