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<span class="kw">let </span><font color="Maroon" title="c1">A</font>, <font color="Maroon" title="c2">B</font>, <font color="Maroon" title="c3">C</font>, <font color="Maroon" title="c4">D</font> be   <a href="cat_1.html#NM4" title="CAT_1:NM.4">Category</a>; <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide">  for <font color="Olive" title="b1">F1</font>, <font color="Olive" title="b2">F2</font> being    <a href="cat_1.html#M2" title="CAT_1:mode.2">Functor</a> of <font color="Maroon" title="c1">A</font>,<font color="Maroon" title="c2">B</font><br/>  for <font color="Olive" title="b3">G1</font>, <font color="Olive" title="b4">G2</font> being    <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="c3">C</font><br/>  for <font color="Olive" title="b5">H1</font>, <font color="Olive" title="b6">H2</font> being    <a href="cat_1.html#M2" title="CAT_1:mode.2">Functor</a> of <font color="Maroon" title="c3">C</font>,<font color="Maroon" title="c4">D</font><br/>  for <font color="Olive" title="b7">s</font> being    <a href="nattra_1.html#M2" title="NATTRA_1:mode.2">natural_transformation</a> of <font color="Olive" title="b1">F1</font>,<font color="Olive" title="b2">F2</font><br/>  for <font color="Olive" title="b8">t</font> being    <a href="nattra_1.html#M2" title="NATTRA_1:mode.2">natural_transformation</a> of <font color="Olive" title="b3">G1</font>,<font color="Olive" title="b4">G2</font><br/>  for <font color="Olive" title="b9">u</font> being    <a href="nattra_1.html#M2" title="NATTRA_1:mode.2">natural_transformation</a> of <font color="Olive" title="b5">H1</font>,<font color="Olive" title="b6">H2</font>  st <font color="Olive" title="b1">F1</font> <a href="nattra_1.html#R2" title="NATTRA_1:pred.2">is_naturally_transformable_to</a> <font color="Olive" title="b2">F2</font> &amp; <font color="Olive" title="b3">G1</font> <a href="nattra_1.html#R2" title="NATTRA_1:pred.2">is_naturally_transformable_to</a> <font color="Olive" title="b4">G2</font> &amp; <font color="Olive" title="b5">H1</font> <a href="nattra_1.html#R2" title="NATTRA_1:pred.2">is_naturally_transformable_to</a> <font color="Olive" title="b6">H2</font> holds <br/><font color="Olive" title="b9">u</font> <a href="isocat_1.html#K6" title="ISOCAT_1:func.6">(#)</a> <span class="p1">(<span class="default"><font color="Olive" title="b8">t</font> <a href="isocat_1.html#K6" title="ISOCAT_1:func.6">(#)</a> <font color="Olive" title="b7">s</font></span>)</span> <a href="funct_2.html#R2" title="FUNCT_2:pred.2">=</a> <span class="p1">(<span class="default"><font color="Olive" title="b9">u</font> <a href="isocat_1.html#K6" title="ISOCAT_1:func.6">(#)</a> <font color="Olive" title="b8">t</font></span>)</span> <a href="isocat_1.html#K6" title="ISOCAT_1:func.6">(#)</a> <font color="Olive" title="b7">s</font></span><br/><span class="kw">let </span><font color="Maroon" title="c5">F1</font>, <font color="Maroon" title="c6">F2</font> be    <a href="cat_1.html#M2" title="CAT_1:mode.2">Functor</a> of <font color="Maroon" title="c1">A</font>,<font color="Maroon" title="c2">B</font>; <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide">  for <font color="Olive" title="b1">G1</font>, <font color="Olive" title="b2">G2</font> being    <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="c3">C</font><br/>  for <font color="Olive" title="b3">H1</font>, <font color="Olive" title="b4">H2</font> being    <a href="cat_1.html#M2" title="CAT_1:mode.2">Functor</a> of <font color="Maroon" title="c3">C</font>,<font color="Maroon" title="c4">D</font><br/>  for <font color="Olive" title="b5">s</font> being    <a href="nattra_1.html#M2" title="NATTRA_1:mode.2">natural_transformation</a> of <font color="Maroon" title="c5">F1</font>,<font color="Maroon" title="c6">F2</font><br/>  for <font color="Olive" title="b6">t</font> being    <a href="nattra_1.html#M2" title="NATTRA_1:mode.2">natural_transformation</a> of <font color="Olive" title="b1">G1</font>,<font color="Olive" title="b2">G2</font><br/>  for <font color="Olive" title="b7">u</font> being    <a href="nattra_1.html#M2" title="NATTRA_1:mode.2">natural_transformation</a> of <font color="Olive" title="b3">H1</font>,<font color="Olive" title="b4">H2</font>  st <font color="Maroon" title="c5">F1</font> <a href="nattra_1.html#R2" title="NATTRA_1:pred.2">is_naturally_transformable_to</a> <font color="Maroon" title="c6">F2</font> &amp; <font color="Olive" title="b1">G1</font> <a href="nattra_1.html#R2" title="NATTRA_1:pred.2">is_naturally_transformable_to</a> <font color="Olive" title="b2">G2</font> &amp; <font color="Olive" title="b3">H1</font> <a href="nattra_1.html#R2" title="NATTRA_1:pred.2">is_naturally_transformable_to</a> <font color="Olive" title="b4">H2</font> holds <br/><font color="Olive" title="b7">u</font> <a href="isocat_1.html#K6" title="ISOCAT_1:func.6">(#)</a> <span class="p1">(<span class="default"><font color="Olive" title="b6">t</font> <a href="isocat_1.html#K6" title="ISOCAT_1:func.6">(#)</a> <font color="Olive" title="b5">s</font></span>)</span> <a href="funct_2.html#R2" title="FUNCT_2:pred.2">=</a> <span class="p1">(<span class="default"><font color="Olive" title="b7">u</font> <a href="isocat_1.html#K6" title="ISOCAT_1:func.6">(#)</a> <font color="Olive" title="b6">t</font></span>)</span> <a href="isocat_1.html#K6" title="ISOCAT_1:func.6">(#)</a> <font color="Olive" title="b5">s</font></span><br/><span class="kw">let </span><font color="Maroon" title="c7">G1</font>, <font color="Maroon" title="c8">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="c3">C</font>; <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide">  for <font color="Olive" title="b1">H1</font>, <font color="Olive" title="b2">H2</font> being    <a href="cat_1.html#M2" title="CAT_1:mode.2">Functor</a> of <font color="Maroon" title="c3">C</font>,<font color="Maroon" title="c4">D</font><br/>  for <font color="Olive" title="b3">s</font> being    <a href="nattra_1.html#M2" title="NATTRA_1:mode.2">natural_transformation</a> of <font color="Maroon" title="c5">F1</font>,<font color="Maroon" title="c6">F2</font><br/>  for <font color="Olive" title="b4">t</font> being    <a href="nattra_1.html#M2" title="NATTRA_1:mode.2">natural_transformation</a> of <font color="Maroon" title="c7">G1</font>,<font color="Maroon" title="c8">G2</font><br/>  for <font color="Olive" title="b5">u</font> being    <a href="nattra_1.html#M2" title="NATTRA_1:mode.2">natural_transformation</a> of <font color="Olive" title="b1">H1</font>,<font color="Olive" title="b2">H2</font>  st <font color="Maroon" title="c5">F1</font> <a href="nattra_1.html#R2" title="NATTRA_1:pred.2">is_naturally_transformable_to</a> <font color="Maroon" title="c6">F2</font> &amp; <font color="Maroon" title="c7">G1</font> <a href="nattra_1.html#R2" title="NATTRA_1:pred.2">is_naturally_transformable_to</a> <font color="Maroon" title="c8">G2</font> &amp; <font color="Olive" title="b1">H1</font> <a href="nattra_1.html#R2" title="NATTRA_1:pred.2">is_naturally_transformable_to</a> <font color="Olive" title="b2">H2</font> holds <br/><font color="Olive" title="b5">u</font> <a href="isocat_1.html#K6" title="ISOCAT_1:func.6">(#)</a> <span class="p1">(<span class="default"><font color="Olive" title="b4">t</font> <a href="isocat_1.html#K6" title="ISOCAT_1:func.6">(#)</a> <font color="Olive" title="b3">s</font></span>)</span> <a href="funct_2.html#R2" title="FUNCT_2:pred.2">=</a> <span class="p1">(<span class="default"><font color="Olive" title="b5">u</font> <a href="isocat_1.html#K6" title="ISOCAT_1:func.6">(#)</a> <font color="Olive" title="b4">t</font></span>)</span> <a href="isocat_1.html#K6" title="ISOCAT_1:func.6">(#)</a> <font color="Olive" title="b3">s</font></span><br/><span class="kw">let </span><font color="Maroon" title="c9">H1</font>, <font color="Maroon" title="c10">H2</font> be    <a href="cat_1.html#M2" title="CAT_1:mode.2">Functor</a> of <font color="Maroon" title="c3">C</font>,<font color="Maroon" title="c4">D</font>; <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide">  for <font color="Olive" title="b1">s</font> being    <a href="nattra_1.html#M2" title="NATTRA_1:mode.2">natural_transformation</a> of <font color="Maroon" title="c5">F1</font>,<font color="Maroon" title="c6">F2</font><br/>  for <font color="Olive" title="b2">t</font> being    <a href="nattra_1.html#M2" title="NATTRA_1:mode.2">natural_transformation</a> of <font color="Maroon" title="c7">G1</font>,<font color="Maroon" title="c8">G2</font><br/>  for <font color="Olive" title="b3">u</font> being    <a href="nattra_1.html#M2" title="NATTRA_1:mode.2">natural_transformation</a> of <font color="Maroon" title="c9">H1</font>,<font color="Maroon" title="c10">H2</font>  st <font color="Maroon" title="c5">F1</font> <a href="nattra_1.html#R2" title="NATTRA_1:pred.2">is_naturally_transformable_to</a> <font color="Maroon" title="c6">F2</font> &amp; <font color="Maroon" title="c7">G1</font> <a href="nattra_1.html#R2" title="NATTRA_1:pred.2">is_naturally_transformable_to</a> <font color="Maroon" title="c8">G2</font> &amp; <font color="Maroon" title="c9">H1</font> <a href="nattra_1.html#R2" title="NATTRA_1:pred.2">is_naturally_transformable_to</a> <font color="Maroon" title="c10">H2</font> holds <br/><font color="Olive" title="b3">u</font> <a href="isocat_1.html#K6" title="ISOCAT_1:func.6">(#)</a> <span class="p1">(<span class="default"><font color="Olive" title="b2">t</font> <a href="isocat_1.html#K6" title="ISOCAT_1:func.6">(#)</a> <font color="Olive" title="b1">s</font></span>)</span> <a href="funct_2.html#R2" title="FUNCT_2:pred.2">=</a> <span class="p1">(<span class="default"><font color="Olive" title="b3">u</font> <a href="isocat_1.html#K6" title="ISOCAT_1:func.6">(#)</a> <font color="Olive" title="b2">t</font></span>)</span> <a href="isocat_1.html#K6" title="ISOCAT_1:func.6">(#)</a> <font color="Olive" title="b1">s</font></span><br/><span class="kw">let </span><font color="Maroon" title="c11">s</font> be    <a href="nattra_1.html#M2" title="NATTRA_1:mode.2">natural_transformation</a> of <font color="Maroon" title="c5">F1</font>,<font color="Maroon" title="c6">F2</font>; <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide">  for <font color="Olive" title="b1">t</font> being    <a href="nattra_1.html#M2" title="NATTRA_1:mode.2">natural_transformation</a> of <font color="Maroon" title="c7">G1</font>,<font color="Maroon" title="c8">G2</font><br/>  for <font color="Olive" title="b2">u</font> being    <a href="nattra_1.html#M2" title="NATTRA_1:mode.2">natural_transformation</a> of <font color="Maroon" title="c9">H1</font>,<font color="Maroon" title="c10">H2</font>  st <font color="Maroon" title="c5">F1</font> <a href="nattra_1.html#R2" title="NATTRA_1:pred.2">is_naturally_transformable_to</a> <font color="Maroon" title="c6">F2</font> &amp; <font color="Maroon" title="c7">G1</font> <a href="nattra_1.html#R2" title="NATTRA_1:pred.2">is_naturally_transformable_to</a> <font color="Maroon" title="c8">G2</font> &amp; <font color="Maroon" title="c9">H1</font> <a href="nattra_1.html#R2" title="NATTRA_1:pred.2">is_naturally_transformable_to</a> <font color="Maroon" title="c10">H2</font> holds <br/><font color="Olive" title="b2">u</font> <a href="isocat_1.html#K6" title="ISOCAT_1:func.6">(#)</a> <span class="p1">(<span class="default"><font color="Olive" title="b1">t</font> <a href="isocat_1.html#K6" title="ISOCAT_1:func.6">(#)</a> <font color="Maroon" title="c11">s</font></span>)</span> <a href="funct_2.html#R2" title="FUNCT_2:pred.2">=</a> <span class="p1">(<span class="default"><font color="Olive" title="b2">u</font> <a href="isocat_1.html#K6" title="ISOCAT_1:func.6">(#)</a> <font color="Olive" title="b1">t</font></span>)</span> <a href="isocat_1.html#K6" title="ISOCAT_1:func.6">(#)</a> <font color="Maroon" title="c11">s</font></span><br/><span class="kw">let </span><font color="Maroon" title="c12">t</font> be    <a href="nattra_1.html#M2" title="NATTRA_1:mode.2">natural_transformation</a> of <font color="Maroon" title="c7">G1</font>,<font color="Maroon" title="c8">G2</font>; <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide">  for <font color="Olive" title="b1">u</font> being    <a href="nattra_1.html#M2" title="NATTRA_1:mode.2">natural_transformation</a> of <font color="Maroon" title="c9">H1</font>,<font color="Maroon" title="c10">H2</font>  st <font color="Maroon" title="c5">F1</font> <a href="nattra_1.html#R2" title="NATTRA_1:pred.2">is_naturally_transformable_to</a> <font color="Maroon" title="c6">F2</font> &amp; <font color="Maroon" title="c7">G1</font> <a href="nattra_1.html#R2" title="NATTRA_1:pred.2">is_naturally_transformable_to</a> <font color="Maroon" title="c8">G2</font> &amp; <font color="Maroon" title="c9">H1</font> <a href="nattra_1.html#R2" title="NATTRA_1:pred.2">is_naturally_transformable_to</a> <font color="Maroon" title="c10">H2</font> holds <br/><font color="Olive" title="b1">u</font> <a href="isocat_1.html#K6" title="ISOCAT_1:func.6">(#)</a> <span class="p1">(<span class="default"><font color="Maroon" title="c12">t</font> <a href="isocat_1.html#K6" title="ISOCAT_1:func.6">(#)</a> <font color="Maroon" title="c11">s</font></span>)</span> <a href="funct_2.html#R2" title="FUNCT_2:pred.2">=</a> <span class="p1">(<span class="default"><font color="Olive" title="b1">u</font> <a href="isocat_1.html#K6" title="ISOCAT_1:func.6">(#)</a> <font color="Maroon" title="c12">t</font></span>)</span> <a href="isocat_1.html#K6" title="ISOCAT_1:func.6">(#)</a> <font color="Maroon" title="c11">s</font></span><br/><span class="kw">let </span><font color="Maroon" title="c13">u</font> be    <a href="nattra_1.html#M2" title="NATTRA_1:mode.2">natural_transformation</a> of <font color="Maroon" title="c9">H1</font>,<font color="Maroon" title="c10">H2</font>; <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide"> ( <font color="Maroon" title="c5">F1</font> <a href="nattra_1.html#R2" title="NATTRA_1:pred.2">is_naturally_transformable_to</a> <font color="Maroon" title="c6">F2</font> &amp; <font color="Maroon" title="c7">G1</font> <a href="nattra_1.html#R2" title="NATTRA_1:pred.2">is_naturally_transformable_to</a> <font color="Maroon" title="c8">G2</font> &amp; <font color="Maroon" title="c9">H1</font> <a href="nattra_1.html#R2" title="NATTRA_1:pred.2">is_naturally_transformable_to</a> <font color="Maroon" title="c10">H2</font> implies <font color="Maroon" title="c13">u</font> <a href="isocat_1.html#K6" title="ISOCAT_1:func.6">(#)</a> <span class="p1">(<span class="default"><font color="Maroon" title="c12">t</font> <a href="isocat_1.html#K6" title="ISOCAT_1:func.6">(#)</a> <font color="Maroon" title="c11">s</font></span>)</span> <a href="funct_2.html#R2" title="FUNCT_2:pred.2">=</a> <span class="p1">(<span class="default"><font color="Maroon" title="c13">u</font> <a href="isocat_1.html#K6" title="ISOCAT_1:func.6">(#)</a> <font color="Maroon" title="c12">t</font></span>)</span> <a href="isocat_1.html#K6" title="ISOCAT_1:func.6">(#)</a> <font color="Maroon" title="c11">s</font> )</span><br/>

























<span class="kw">assume </span><span class="kw">that </span><br/><a NAME="E1:48"/><span class="lab"><font color="Green" title="E35">A1</font></span>: 
<font color="Maroon" title="c5">F1</font> <a href="nattra_1.html#R2" title="NATTRA_1:pred.2">is_naturally_transformable_to</a> <font color="Maroon" title="c6">F2</font>
 <span class="kw">and </span><br/><a NAME="E2:48"/><span class="lab"><font color="Green" title="E36">A2</font></span>: 
<font color="Maroon" title="c7">G1</font> <a href="nattra_1.html#R2" title="NATTRA_1:pred.2">is_naturally_transformable_to</a> <font color="Maroon" title="c8">G2</font>
 <span class="kw">and </span><br/><a NAME="E3:48"/><span class="lab"><font color="Green" title="E37">A3</font></span>: 
<font color="Maroon" title="c9">H1</font> <a href="nattra_1.html#R2" title="NATTRA_1:pred.2">is_naturally_transformable_to</a> <font color="Maroon" title="c10">H2</font>
 ; <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide"> <font color="Maroon" title="c13">u</font> <a href="isocat_1.html#K6" title="ISOCAT_1:func.6">(#)</a> <span class="p1">(<span class="default"><font color="Maroon" title="c12">t</font> <a href="isocat_1.html#K6" title="ISOCAT_1:func.6">(#)</a> <font color="Maroon" title="c11">s</font></span>)</span> <a href="funct_2.html#R2" title="FUNCT_2:pred.2">=</a> <span class="p1">(<span class="default"><font color="Maroon" title="c13">u</font> <a href="isocat_1.html#K6" title="ISOCAT_1:func.6">(#)</a> <font color="Maroon" title="c12">t</font></span>)</span> <a href="isocat_1.html#K6" title="ISOCAT_1:func.6">(#)</a> <font color="Maroon" title="c11">s</font></span><br/>

<a NAME="E4:48"/><span class="lab"><font color="Green" title="E38">A4</font></span>: 
( <font color="Maroon" title="c13">u</font> <a href="isocat_1.html#K5" title="ISOCAT_1:func.5">*</a> <span class="p1">(<span class="default"><font color="Maroon" title="c8">G2</font> <a href="cat_1.html#K10" title="CAT_1:func.10">*</a> <font color="Maroon" title="c6">F2</font></span>)</span> <a href="funct_2.html#R2" title="FUNCT_2:pred.2">=</a> <span class="p1">(<span class="default"><font color="Maroon" title="c13">u</font> <a href="isocat_1.html#K5" title="ISOCAT_1:func.5">*</a> <font color="Maroon" title="c8">G2</font></span>)</span> <a href="isocat_1.html#K5" title="ISOCAT_1:func.5">*</a> <font color="Maroon" title="c6">F2</font> &amp; <font color="Maroon" title="c9">H1</font> <a href="isocat_1.html#K4" title="ISOCAT_1:func.4">*</a> <span class="p1">(<span class="default"><font color="Maroon" title="c12">t</font> <a href="isocat_1.html#K5" title="ISOCAT_1:func.5">*</a> <font color="Maroon" title="c6">F2</font></span>)</span> <a href="funct_2.html#R2" title="FUNCT_2:pred.2">=</a> <span class="p1">(<span class="default"><font color="Maroon" title="c9">H1</font> <a href="isocat_1.html#K4" title="ISOCAT_1:func.4">*</a> <font color="Maroon" title="c12">t</font></span>)</span> <a href="isocat_1.html#K5" title="ISOCAT_1:func.5">*</a> <font color="Maroon" title="c6">F2</font> )
 
<span class="kw">by</span> <span class="lab"><a class="txt" href="#E2:48"><span class="lab"><font color="Green" title="E36">A2</font></span></a>, <a class="txt" href="#E3:48"><span class="lab"><font color="Green" title="E37">A3</font></span></a>, <a class="ref" href="isocat_1.html#T29" target="_self" title="ISOCAT_1:th.29">Th34</a>, <a class="ref" href="isocat_1.html#T30" target="_self" title="ISOCAT_1:th.30">Th35</a></span>;<br/>
<a NAME="E5:48"/><span class="lab"><font color="Green" title="E39">A5</font></span>: 
<font color="Maroon" title="c9">H1</font> <a href="cat_1.html#K10" title="CAT_1:func.10">*</a> <font color="Maroon" title="c7">G1</font> <a href="nattra_1.html#R2" title="NATTRA_1:pred.2">is_naturally_transformable_to</a> <font color="Maroon" title="c9">H1</font> <a href="cat_1.html#K10" title="CAT_1:func.10">*</a> <font color="Maroon" title="c8">G2</font>
 
<span class="kw">by</span> <span class="lab"><a class="txt" href="#E2:48"><span class="lab"><font color="Green" title="E36">A2</font></span></a>, <a class="ref" href="isocat_1.html#T22" target="_self" title="ISOCAT_1:th.22">Th27</a></span>;<br/>
<a NAME="E6:48"/><span class="kw">then </span><span class="lab"><font color="Green" title="E40">A6</font></span>: 
<span class="p1">(<span class="default"><font color="Maroon" title="c9">H1</font> <a href="cat_1.html#K10" title="CAT_1:func.10">*</a> <font color="Maroon" title="c7">G1</font></span>)</span> <a href="cat_1.html#K10" title="CAT_1:func.10">*</a> <font color="Maroon" title="c6">F2</font> <a href="nattra_1.html#R2" title="NATTRA_1:pred.2">is_naturally_transformable_to</a> <span class="p1">(<span class="default"><font color="Maroon" title="c9">H1</font> <a href="cat_1.html#K10" title="CAT_1:func.10">*</a> <font color="Maroon" title="c8">G2</font></span>)</span> <a href="cat_1.html#K10" title="CAT_1:func.10">*</a> <font color="Maroon" title="c6">F2</font>
 
<span class="kw">by</span> <span class="lab"><a class="ref" href="isocat_1.html#T22" target="_self" title="ISOCAT_1:th.22">Th27</a></span>;<br/>
<a NAME="E7:48"/><span class="lab"><font color="Green" title="E41">A7</font></span>: 
( <font color="Maroon" title="c9">H1</font> <a href="isocat_1.html#K4" title="ISOCAT_1:func.4">*</a> <span class="p1">(<span class="default"><font color="Maroon" title="c7">G1</font> <a href="isocat_1.html#K4" title="ISOCAT_1:func.4">*</a> <font color="Maroon" title="c11">s</font></span>)</span> <a href="funct_2.html#R2" title="FUNCT_2:pred.2">=</a> <span class="p1">(<span class="default"><font color="Maroon" title="c9">H1</font> <a href="cat_1.html#K10" title="CAT_1:func.10">*</a> <font color="Maroon" title="c7">G1</font></span>)</span> <a href="isocat_1.html#K4" title="ISOCAT_1:func.4">*</a> <font color="Maroon" title="c11">s</font> &amp; <span class="p1">(<span class="default"><font color="Maroon" title="c9">H1</font> <a href="cat_1.html#K10" title="CAT_1:func.10">*</a> <font color="Maroon" title="c7">G1</font></span>)</span> <a href="cat_1.html#K10" title="CAT_1:func.10">*</a> <font color="Maroon" title="c5">F1</font> <a href="nattra_1.html#R2" title="NATTRA_1:pred.2">is_naturally_transformable_to</a> <span class="p1">(<span class="default"><font color="Maroon" title="c9">H1</font> <a href="cat_1.html#K10" title="CAT_1:func.10">*</a> <font color="Maroon" title="c7">G1</font></span>)</span> <a href="cat_1.html#K10" title="CAT_1:func.10">*</a> <font color="Maroon" title="c6">F2</font> )
 
<span class="kw">by</span> <span class="lab"><a class="txt" href="#E1:48"><span class="lab"><font color="Green" title="E35">A1</font></span></a>, <a class="ref" href="isocat_1.html#T22" target="_self" title="ISOCAT_1:th.22">Th27</a>, <a class="ref" href="isocat_1.html#T31" target="_self" title="ISOCAT_1:th.31">Th36</a></span>;<br/>
<a NAME="E8:48"/><span class="lab"><font color="Green" title="E42">A8</font></span>: 
( <span class="p1">(<span class="default"><font color="Maroon" title="c9">H1</font> <a href="cat_1.html#K10" title="CAT_1:func.10">*</a> <font color="Maroon" title="c7">G1</font></span>)</span> <a href="cat_1.html#K10" title="CAT_1:func.10">*</a> <font color="Maroon" title="c5">F1</font> <a href="funct_2.html#R2" title="FUNCT_2:pred.2">=</a> <font color="Maroon" title="c9">H1</font> <a href="cat_1.html#K10" title="CAT_1:func.10">*</a> <span class="p1">(<span class="default"><font color="Maroon" title="c7">G1</font> <a href="cat_1.html#K10" title="CAT_1:func.10">*</a> <font color="Maroon" title="c5">F1</font></span>)</span> &amp; <span class="p1">(<span class="default"><font color="Maroon" title="c9">H1</font> <a href="cat_1.html#K10" title="CAT_1:func.10">*</a> <font color="Maroon" title="c7">G1</font></span>)</span> <a href="cat_1.html#K10" title="CAT_1:func.10">*</a> <font color="Maroon" title="c6">F2</font> <a href="funct_2.html#R2" title="FUNCT_2:pred.2">=</a> <font color="Maroon" title="c9">H1</font> <a href="cat_1.html#K10" title="CAT_1:func.10">*</a> <span class="p1">(<span class="default"><font color="Maroon" title="c7">G1</font> <a href="cat_1.html#K10" title="CAT_1:func.10">*</a> <font color="Maroon" title="c6">F2</font></span>)</span> )
 
<span class="kw">by</span> <span class="lab"><a class="ref" href="relat_1.html#T36" title="RELAT_1:th.36">RELAT_1:36</a></span>;<br/>
<a NAME="E9:48"/><span class="lab"><font color="Green" title="E43">A9</font></span>: 
<font color="Maroon" title="c9">H1</font> <a href="cat_1.html#K10" title="CAT_1:func.10">*</a> <font color="Maroon" title="c8">G2</font> <a href="nattra_1.html#R2" title="NATTRA_1:pred.2">is_naturally_transformable_to</a> <font color="Maroon" title="c10">H2</font> <a href="cat_1.html#K10" title="CAT_1:func.10">*</a> <font color="Maroon" title="c8">G2</font>
 
<span class="kw">by</span> <span class="lab"><a class="txt" href="#E3:48"><span class="lab"><font color="Green" title="E37">A3</font></span></a>, <a class="ref" href="isocat_1.html#T22" target="_self" title="ISOCAT_1:th.22">Th27</a></span>;<br/>
<a NAME="E10:48"/><span class="kw">then </span><span class="lab"><font color="Green" title="E44">A10</font></span>: 
<span class="p1">(<span class="default"><font color="Maroon" title="c9">H1</font> <a href="cat_1.html#K10" title="CAT_1:func.10">*</a> <font color="Maroon" title="c8">G2</font></span>)</span> <a href="cat_1.html#K10" title="CAT_1:func.10">*</a> <font color="Maroon" title="c6">F2</font> <a href="nattra_1.html#R2" title="NATTRA_1:pred.2">is_naturally_transformable_to</a> <span class="p1">(<span class="default"><font color="Maroon" title="c10">H2</font> <a href="cat_1.html#K10" title="CAT_1:func.10">*</a> <font color="Maroon" title="c8">G2</font></span>)</span> <a href="cat_1.html#K10" title="CAT_1:func.10">*</a> <font color="Maroon" title="c6">F2</font>
 
<span class="kw">by</span> <span class="lab"><a class="ref" href="isocat_1.html#T22" target="_self" title="ISOCAT_1:th.22">Th27</a></span>;<br/>
<a NAME="E11:48"/><span class="lab"><font color="Green" title="E45">A11</font></span>: 
( <span class="p1">(<span class="default"><font color="Maroon" title="c9">H1</font> <a href="cat_1.html#K10" title="CAT_1:func.10">*</a> <font color="Maroon" title="c8">G2</font></span>)</span> <a href="cat_1.html#K10" title="CAT_1:func.10">*</a> <font color="Maroon" title="c6">F2</font> <a href="funct_2.html#R2" title="FUNCT_2:pred.2">=</a> <font color="Maroon" title="c9">H1</font> <a href="cat_1.html#K10" title="CAT_1:func.10">*</a> <span class="p1">(<span class="default"><font color="Maroon" title="c8">G2</font> <a href="cat_1.html#K10" title="CAT_1:func.10">*</a> <font color="Maroon" title="c6">F2</font></span>)</span> &amp; <span class="p1">(<span class="default"><font color="Maroon" title="c10">H2</font> <a href="cat_1.html#K10" title="CAT_1:func.10">*</a> <font color="Maroon" title="c8">G2</font></span>)</span> <a href="cat_1.html#K10" title="CAT_1:func.10">*</a> <font color="Maroon" title="c6">F2</font> <a href="funct_2.html#R2" title="FUNCT_2:pred.2">=</a> <font color="Maroon" title="c10">H2</font> <a href="cat_1.html#K10" title="CAT_1:func.10">*</a> <span class="p1">(<span class="default"><font color="Maroon" title="c8">G2</font> <a href="cat_1.html#K10" title="CAT_1:func.10">*</a> <font color="Maroon" title="c6">F2</font></span>)</span> )
 
<span class="kw">by</span> <span class="lab"><a class="ref" href="relat_1.html#T36" title="RELAT_1:th.36">RELAT_1:36</a></span>;<br/>
<a NAME="E12:48"/>
( <font color="Maroon" title="c7">G1</font> <a href="cat_1.html#K10" title="CAT_1:func.10">*</a> <font color="Maroon" title="c6">F2</font> <a href="nattra_1.html#R2" title="NATTRA_1:pred.2">is_naturally_transformable_to</a> <font color="Maroon" title="c8">G2</font> <a href="cat_1.html#K10" title="CAT_1:func.10">*</a> <font color="Maroon" title="c6">F2</font> &amp; <font color="Maroon" title="c7">G1</font> <a href="cat_1.html#K10" title="CAT_1:func.10">*</a> <font color="Maroon" title="c5">F1</font> <a href="nattra_1.html#R2" title="NATTRA_1:pred.2">is_naturally_transformable_to</a> <font color="Maroon" title="c7">G1</font> <a href="cat_1.html#K10" title="CAT_1:func.10">*</a> <font color="Maroon" title="c6">F2</font> )
 
<span class="kw">by</span> <span class="lab"><a class="txt" href="#E1:48"><span class="lab"><font color="Green" title="E35">A1</font></span></a>, <a class="txt" href="#E2:48"><span class="lab"><font color="Green" title="E36">A2</font></span></a>, <a class="ref" href="isocat_1.html#T22" target="_self" title="ISOCAT_1:th.22">Th27</a></span>;<br/>
<span class="kw">hence </span><font color="Maroon" title="c13">u</font> <a href="isocat_1.html#K6" title="ISOCAT_1:func.6">(#)</a> <span class="p1">(<span class="default"><font color="Maroon" title="c12">t</font> <a href="isocat_1.html#K6" title="ISOCAT_1:func.6">(#)</a> <font color="Maroon" title="c11">s</font></span>)</span> = 
<span class="p1">(<span class="default"><font color="Maroon" title="c13">u</font> <a href="isocat_1.html#K5" title="ISOCAT_1:func.5">*</a> <span class="p2">(<span class="default"><font color="Maroon" title="c8">G2</font> <a href="cat_1.html#K10" title="CAT_1:func.10">*</a> <font color="Maroon" title="c6">F2</font></span>)</span></span>)</span> <a href="nattra_1.html#K8" title="NATTRA_1:func.8">`*`</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><font color="Maroon" title="c9">H1</font> <a href="isocat_1.html#K4" title="ISOCAT_1:func.4">*</a> <span class="p3">(<span class="default"><font color="Maroon" title="c12">t</font> <a href="isocat_1.html#K5" title="ISOCAT_1:func.5">*</a> <font color="Maroon" title="c6">F2</font></span>)</span></span>)</span> <a href="nattra_1.html#K8" title="NATTRA_1:func.8">`*`</a> <span class="p2">(<span class="default"><font color="Maroon" title="c9">H1</font> <a href="isocat_1.html#K4" title="ISOCAT_1:func.4">*</a> <span class="p3">(<span class="default"><font color="Maroon" title="c7">G1</font> <a href="isocat_1.html#K4" title="ISOCAT_1:func.4">*</a> <font color="Maroon" title="c11">s</font></span>)</span></span>)</span></span>)</span>
<span class="kw">by</span> <span class="lab"><a class="ref" href="isocat_1.html#T27" target="_self" title="ISOCAT_1:th.27">Th32</a></span>
<br/>.= 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><font color="Maroon" title="c13">u</font> <a href="isocat_1.html#K5" title="ISOCAT_1:func.5">*</a> <font color="Maroon" title="c8">G2</font></span>)</span> <a href="isocat_1.html#K5" title="ISOCAT_1:func.5">*</a> <font color="Maroon" title="c6">F2</font></span>)</span> <a href="nattra_1.html#K8" title="NATTRA_1:func.8">`*`</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><font color="Maroon" title="c9">H1</font> <a href="isocat_1.html#K4" title="ISOCAT_1:func.4">*</a> <font color="Maroon" title="c12">t</font></span>)</span> <a href="isocat_1.html#K5" title="ISOCAT_1:func.5">*</a> <font color="Maroon" title="c6">F2</font></span>)</span></span>)</span> <a href="nattra_1.html#K8" title="NATTRA_1:func.8">`*`</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><font color="Maroon" title="c9">H1</font> <a href="cat_1.html#K10" title="CAT_1:func.10">*</a> <font color="Maroon" title="c7">G1</font></span>)</span> <a href="isocat_1.html#K4" title="ISOCAT_1:func.4">*</a> <font color="Maroon" title="c11">s</font></span>)</span>
<span class="kw">by</span> <span class="lab"><a class="txt" href="#E8:48"><span class="lab"><font color="Green" title="E42">A8</font></span></a>, <a class="txt" href="#E11:48"><span class="lab"><font color="Green" title="E45">A11</font></span></a>, <a class="txt" href="#E4:48"><span class="lab"><font color="Green" title="E38">A4</font></span></a>, <a class="txt" href="#E7:48"><span class="lab"><font color="Green" title="E41">A7</font></span></a>, <a class="txt" href="#E6:48"><span class="lab"><font color="Green" title="E40">A6</font></span></a>, <a class="txt" href="#E10:48"><span class="lab"><font color="Green" title="E44">A10</font></span></a>, <a class="ref" href="nattra_1.html#T26" title="NATTRA_1:th.26">NATTRA_1:26</a></span>
<br/>.= 
<span class="p1">(<span class="default"><font color="Maroon" title="c13">u</font> <a href="isocat_1.html#K6" title="ISOCAT_1:func.6">(#)</a> <font color="Maroon" title="c12">t</font></span>)</span> <a href="isocat_1.html#K6" title="ISOCAT_1:func.6">(#)</a> <font color="Maroon" title="c11">s</font>
<span class="kw">by</span> <span class="lab"><a class="txt" href="#E5:48"><span class="lab"><font color="Green" title="E39">A5</font></span></a>, <a class="txt" href="#E9:48"><span class="lab"><font color="Green" title="E43">A9</font></span></a>, <a class="ref" href="isocat_1.html#T28" target="_self" title="ISOCAT_1:th.28">Th33</a></span>
;<br/> <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide"> verum</span><br/>


</div>
