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<b>let </b><font color="Maroon" title="c1">A</font>, <font color="Maroon" title="c2">B</font>, <font color="Maroon" title="c3">C</font> be   <a href="cat_1.html#NM4" title="CAT_1:NM.4">Category</a>; <a class="txt" onclick="hs(this)" href="javascript:()"><i><font color="Red">::  thesis: </font></i></a><span class="hide"> for <font color="Olive" title="b1">F1</font>, <font color="Olive" title="b2">F2</font>, <font color="Olive" title="b3">F3</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="b4">G1</font>, <font color="Olive" title="b5">G2</font>, <font color="Olive" title="b6">G3</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="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">s'</font> being   <a href="nattra_1.html#M2" title="NATTRA_1:mode.2">natural_transformation</a> of <font color="Olive" title="b2">F2</font>,<font color="Olive" title="b3">F3</font><br/> for <font color="Olive" title="b9">t</font> being   <a href="nattra_1.html#M2" title="NATTRA_1:mode.2">natural_transformation</a> of <font color="Olive" title="b4">G1</font>,<font color="Olive" title="b5">G2</font><br/> for <font color="Olive" title="b10">t'</font> being   <a href="nattra_1.html#M2" title="NATTRA_1:mode.2">natural_transformation</a> of <font color="Olive" title="b5">G2</font>,<font color="Olive" title="b6">G3</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="b2">F2</font> <a href="nattra_1.html#R2" title="NATTRA_1:pred.2">is_naturally_transformable_to</a> <font color="Olive" title="b3">F3</font> &amp; <font color="Olive" title="b4">G1</font> <a href="nattra_1.html#R2" title="NATTRA_1:pred.2">is_naturally_transformable_to</a> <font color="Olive" title="b5">G2</font> &amp; <font color="Olive" title="b5">G2</font> <a href="nattra_1.html#R2" title="NATTRA_1:pred.2">is_naturally_transformable_to</a> <font color="Olive" title="b6">G3</font> holds <br/><span class="p1">(<span class="default"><font color="Olive" title="b10">t'</font> <a href="nattra_1.html#K8" title="NATTRA_1:func.8">`*`</a> <font color="Olive" title="b9">t</font></span>)</span> <a href="isocat_1.html#K6" title="ISOCAT_1:func.6">(#)</a> <span class="p1">(<span class="default"><font color="Olive" title="b8">s'</font> <a href="nattra_1.html#K8" title="NATTRA_1:func.8">`*`</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="b10">t'</font> <a href="isocat_1.html#K6" title="ISOCAT_1:func.6">(#)</a> <font color="Olive" title="b8">s'</font></span>)</span> <a href="nattra_1.html#K8" title="NATTRA_1:func.8">`*`</a> <span class="p1">(<span class="default"><font color="Olive" title="b9">t</font> <a href="isocat_1.html#K6" title="ISOCAT_1:func.6">(#)</a> <font color="Olive" title="b7">s</font></span>)</span></span><br/><b>let </b><font color="Maroon" title="c4">F1</font>, <font color="Maroon" title="c5">F2</font>, <font color="Maroon" title="c6">F3</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:()"><i><font color="Red">::  thesis: </font></i></a><span class="hide"> for <font color="Olive" title="b1">G1</font>, <font color="Olive" title="b2">G2</font>, <font color="Olive" title="b3">G3</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="b4">s</font> being   <a href="nattra_1.html#M2" title="NATTRA_1:mode.2">natural_transformation</a> of <font color="Maroon" title="c4">F1</font>,<font color="Maroon" title="c5">F2</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">F2</font>,<font color="Maroon" title="c6">F3</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">t'</font> being   <a href="nattra_1.html#M2" title="NATTRA_1:mode.2">natural_transformation</a> of <font color="Olive" title="b2">G2</font>,<font color="Olive" title="b3">G3</font>  st <font color="Maroon" title="c4">F1</font> <a href="nattra_1.html#R2" title="NATTRA_1:pred.2">is_naturally_transformable_to</a> <font color="Maroon" title="c5">F2</font> &amp; <font color="Maroon" title="c5">F2</font> <a href="nattra_1.html#R2" title="NATTRA_1:pred.2">is_naturally_transformable_to</a> <font color="Maroon" title="c6">F3</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="b2">G2</font> <a href="nattra_1.html#R2" title="NATTRA_1:pred.2">is_naturally_transformable_to</a> <font color="Olive" title="b3">G3</font> holds <br/><span class="p1">(<span class="default"><font color="Olive" title="b7">t'</font> <a href="nattra_1.html#K8" title="NATTRA_1:func.8">`*`</a> <font color="Olive" title="b6">t</font></span>)</span> <a href="isocat_1.html#K6" title="ISOCAT_1:func.6">(#)</a> <span class="p1">(<span class="default"><font color="Olive" title="b5">s'</font> <a href="nattra_1.html#K8" title="NATTRA_1:func.8">`*`</a> <font color="Olive" title="b4">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">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="nattra_1.html#K8" title="NATTRA_1:func.8">`*`</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="b4">s</font></span>)</span></span><br/><b>let </b><font color="Maroon" title="c7">G1</font>, <font color="Maroon" title="c8">G2</font>, <font color="Maroon" title="c9">G3</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:()"><i><font color="Red">::  thesis: </font></i></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="c4">F1</font>,<font color="Maroon" title="c5">F2</font><br/> for <font color="Olive" title="b2">s'</font> being   <a href="nattra_1.html#M2" title="NATTRA_1:mode.2">natural_transformation</a> of <font color="Maroon" title="c5">F2</font>,<font color="Maroon" title="c6">F3</font><br/> for <font color="Olive" title="b3">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="b4">t'</font> being   <a href="nattra_1.html#M2" title="NATTRA_1:mode.2">natural_transformation</a> of <font color="Maroon" title="c8">G2</font>,<font color="Maroon" title="c9">G3</font>  st <font color="Maroon" title="c4">F1</font> <a href="nattra_1.html#R2" title="NATTRA_1:pred.2">is_naturally_transformable_to</a> <font color="Maroon" title="c5">F2</font> &amp; <font color="Maroon" title="c5">F2</font> <a href="nattra_1.html#R2" title="NATTRA_1:pred.2">is_naturally_transformable_to</a> <font color="Maroon" title="c6">F3</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="c8">G2</font> <a href="nattra_1.html#R2" title="NATTRA_1:pred.2">is_naturally_transformable_to</a> <font color="Maroon" title="c9">G3</font> holds <br/><span class="p1">(<span class="default"><font color="Olive" title="b4">t'</font> <a href="nattra_1.html#K8" title="NATTRA_1:func.8">`*`</a> <font color="Olive" title="b3">t</font></span>)</span> <a href="isocat_1.html#K6" title="ISOCAT_1:func.6">(#)</a> <span class="p1">(<span class="default"><font color="Olive" title="b2">s'</font> <a href="nattra_1.html#K8" title="NATTRA_1:func.8">`*`</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="b4">t'</font> <a href="isocat_1.html#K6" title="ISOCAT_1:func.6">(#)</a> <font color="Olive" title="b2">s'</font></span>)</span> <a href="nattra_1.html#K8" title="NATTRA_1:func.8">`*`</a> <span class="p1">(<span class="default"><font color="Olive" title="b3">t</font> <a href="isocat_1.html#K6" title="ISOCAT_1:func.6">(#)</a> <font color="Olive" title="b1">s</font></span>)</span></span><br/><b>let </b><font color="Maroon" title="c10">s</font> be    <a href="nattra_1.html#M2" title="NATTRA_1:mode.2">natural_transformation</a> of <font color="Maroon" title="c4">F1</font>,<font color="Maroon" title="c5">F2</font>; <a class="txt" onclick="hs(this)" href="javascript:()"><i><font color="Red">::  thesis: </font></i></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">F2</font>,<font color="Maroon" title="c6">F3</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">t'</font> being   <a href="nattra_1.html#M2" title="NATTRA_1:mode.2">natural_transformation</a> of <font color="Maroon" title="c8">G2</font>,<font color="Maroon" title="c9">G3</font>  st <font color="Maroon" title="c4">F1</font> <a href="nattra_1.html#R2" title="NATTRA_1:pred.2">is_naturally_transformable_to</a> <font color="Maroon" title="c5">F2</font> &amp; <font color="Maroon" title="c5">F2</font> <a href="nattra_1.html#R2" title="NATTRA_1:pred.2">is_naturally_transformable_to</a> <font color="Maroon" title="c6">F3</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="c8">G2</font> <a href="nattra_1.html#R2" title="NATTRA_1:pred.2">is_naturally_transformable_to</a> <font color="Maroon" title="c9">G3</font> holds <br/><span class="p1">(<span class="default"><font color="Olive" title="b3">t'</font> <a href="nattra_1.html#K8" title="NATTRA_1:func.8">`*`</a> <font color="Olive" title="b2">t</font></span>)</span> <a href="isocat_1.html#K6" title="ISOCAT_1:func.6">(#)</a> <span class="p1">(<span class="default"><font color="Olive" title="b1">s'</font> <a href="nattra_1.html#K8" title="NATTRA_1:func.8">`*`</a> <font color="Maroon" title="c10">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">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="nattra_1.html#K8" title="NATTRA_1:func.8">`*`</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="Maroon" title="c10">s</font></span>)</span></span><br/><b>let </b><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">F2</font>,<font color="Maroon" title="c6">F3</font>; <a class="txt" onclick="hs(this)" href="javascript:()"><i><font color="Red">::  thesis: </font></i></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">t'</font> being   <a href="nattra_1.html#M2" title="NATTRA_1:mode.2">natural_transformation</a> of <font color="Maroon" title="c8">G2</font>,<font color="Maroon" title="c9">G3</font>  st <font color="Maroon" title="c4">F1</font> <a href="nattra_1.html#R2" title="NATTRA_1:pred.2">is_naturally_transformable_to</a> <font color="Maroon" title="c5">F2</font> &amp; <font color="Maroon" title="c5">F2</font> <a href="nattra_1.html#R2" title="NATTRA_1:pred.2">is_naturally_transformable_to</a> <font color="Maroon" title="c6">F3</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="c8">G2</font> <a href="nattra_1.html#R2" title="NATTRA_1:pred.2">is_naturally_transformable_to</a> <font color="Maroon" title="c9">G3</font> holds <br/><span class="p1">(<span class="default"><font color="Olive" title="b2">t'</font> <a href="nattra_1.html#K8" title="NATTRA_1:func.8">`*`</a> <font color="Olive" title="b1">t</font></span>)</span> <a href="isocat_1.html#K6" title="ISOCAT_1:func.6">(#)</a> <span class="p1">(<span class="default"><font color="Maroon" title="c11">s'</font> <a href="nattra_1.html#K8" title="NATTRA_1:func.8">`*`</a> <font color="Maroon" title="c10">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">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="nattra_1.html#K8" title="NATTRA_1:func.8">`*`</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="c10">s</font></span>)</span></span><br/><b>let </b><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:()"><i><font color="Red">::  thesis: </font></i></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="c8">G2</font>,<font color="Maroon" title="c9">G3</font>  st <font color="Maroon" title="c4">F1</font> <a href="nattra_1.html#R2" title="NATTRA_1:pred.2">is_naturally_transformable_to</a> <font color="Maroon" title="c5">F2</font> &amp; <font color="Maroon" title="c5">F2</font> <a href="nattra_1.html#R2" title="NATTRA_1:pred.2">is_naturally_transformable_to</a> <font color="Maroon" title="c6">F3</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="c8">G2</font> <a href="nattra_1.html#R2" title="NATTRA_1:pred.2">is_naturally_transformable_to</a> <font color="Maroon" title="c9">G3</font> holds <br/><span class="p1">(<span class="default"><font color="Olive" title="b1">t'</font> <a href="nattra_1.html#K8" title="NATTRA_1:func.8">`*`</a> <font color="Maroon" title="c12">t</font></span>)</span> <a href="isocat_1.html#K6" title="ISOCAT_1:func.6">(#)</a> <span class="p1">(<span class="default"><font color="Maroon" title="c11">s'</font> <a href="nattra_1.html#K8" title="NATTRA_1:func.8">`*`</a> <font color="Maroon" title="c10">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">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="nattra_1.html#K8" title="NATTRA_1:func.8">`*`</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="c10">s</font></span>)</span></span><br/><b>let </b><font color="Maroon" title="c13">t'</font> be    <a href="nattra_1.html#M2" title="NATTRA_1:mode.2">natural_transformation</a> of <font color="Maroon" title="c8">G2</font>,<font color="Maroon" title="c9">G3</font>; <a class="txt" onclick="hs(this)" href="javascript:()"><i><font color="Red">::  thesis: </font></i></a><span class="hide"> ( <font color="Maroon" title="c4">F1</font> <a href="nattra_1.html#R2" title="NATTRA_1:pred.2">is_naturally_transformable_to</a> <font color="Maroon" title="c5">F2</font> &amp; <font color="Maroon" title="c5">F2</font> <a href="nattra_1.html#R2" title="NATTRA_1:pred.2">is_naturally_transformable_to</a> <font color="Maroon" title="c6">F3</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="c8">G2</font> <a href="nattra_1.html#R2" title="NATTRA_1:pred.2">is_naturally_transformable_to</a> <font color="Maroon" title="c9">G3</font> implies <span class="p1">(<span class="default"><font color="Maroon" title="c13">t'</font> <a href="nattra_1.html#K8" title="NATTRA_1:func.8">`*`</a> <font color="Maroon" title="c12">t</font></span>)</span> <a href="isocat_1.html#K6" title="ISOCAT_1:func.6">(#)</a> <span class="p1">(<span class="default"><font color="Maroon" title="c11">s'</font> <a href="nattra_1.html#K8" title="NATTRA_1:func.8">`*`</a> <font color="Maroon" title="c10">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">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="nattra_1.html#K8" title="NATTRA_1:func.8">`*`</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="c10">s</font></span>)</span> )</span><br/>

























<b>assume </b><b>that </b><br/><a NAME="E1:52"/><i><font color="Green" title="E35">A1</font></i>: 
<font color="Maroon" title="c4">F1</font> <a href="nattra_1.html#R2" title="NATTRA_1:pred.2">is_naturally_transformable_to</a> <font color="Maroon" title="c5">F2</font>
 <b>and </b><br/><a NAME="E2:52"/><i><font color="Green" title="E36">A2</font></i>: 
<font color="Maroon" title="c5">F2</font> <a href="nattra_1.html#R2" title="NATTRA_1:pred.2">is_naturally_transformable_to</a> <font color="Maroon" title="c6">F3</font>
 <b>and </b><br/><a NAME="E3:52"/><i><font color="Green" title="E37">A3</font></i>: 
<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>
 <b>and </b><br/><a NAME="E4:52"/><i><font color="Green" title="E38">A4</font></i>: 
<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="c9">G3</font>
 ; <a class="txt" onclick="hs(this)" href="javascript:()"><i><font color="Red">::  thesis: </font></i></a><span class="hide"> <span class="p1">(<span class="default"><font color="Maroon" title="c13">t'</font> <a href="nattra_1.html#K8" title="NATTRA_1:func.8">`*`</a> <font color="Maroon" title="c12">t</font></span>)</span> <a href="isocat_1.html#K6" title="ISOCAT_1:func.6">(#)</a> <span class="p1">(<span class="default"><font color="Maroon" title="c11">s'</font> <a href="nattra_1.html#K8" title="NATTRA_1:func.8">`*`</a> <font color="Maroon" title="c10">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">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="nattra_1.html#K8" title="NATTRA_1:func.8">`*`</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="c10">s</font></span>)</span></span><br/>

<a NAME="E5:52"/><i><font color="Green" title="E39">A5</font></i>: 
( <font color="Maroon" title="c9">G3</font> <a href="cat_1.html#K14" title="CAT_1:func.14">*</a> <font color="Maroon" title="c5">F2</font> <a href="nattra_1.html#R2" title="NATTRA_1:pred.2">is_naturally_transformable_to</a> <font color="Maroon" title="c9">G3</font> <a href="cat_1.html#K14" title="CAT_1:func.14">*</a> <font color="Maroon" title="c6">F3</font> &amp; <font color="Maroon" title="c9">G3</font> <a href="cat_1.html#K14" title="CAT_1:func.14">*</a> <font color="Maroon" title="c4">F1</font> <a href="nattra_1.html#R2" title="NATTRA_1:pred.2">is_naturally_transformable_to</a> <font color="Maroon" title="c9">G3</font> <a href="cat_1.html#K14" title="CAT_1:func.14">*</a> <font color="Maroon" title="c5">F2</font> )
 
<b>by </b><i><a class="txt" href="isocat_1.html#E1:52"><i><font color="Green" title="E35">A1</font></i></a>, <a class="txt" href="isocat_1.html#E2:52"><i><font color="Green" title="E36">A2</font></i></a>, <a class="ref" href="isocat_1.html#T27" target="_self" title="ISOCAT_1:th.27">Th27</a></i>;<br/>
<a NAME="E6:52"/><i><font color="Green" title="E40">A6</font></i>: 
<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">G3</font>
 
<b>by </b><i><a class="txt" href="isocat_1.html#E3:52"><i><font color="Green" title="E37">A3</font></i></a>, <a class="txt" href="isocat_1.html#E4:52"><i><font color="Green" title="E38">A4</font></i></a>, <a class="ref" href="nattra_1.html#T25" title="NATTRA_1:th.25">NATTRA_1:25</a></i>;<br/>
<a NAME="E7:52"/><i><font color="Green" title="E41">A7</font></i>: 
<font color="Maroon" title="c4">F1</font> <a href="nattra_1.html#R2" title="NATTRA_1:pred.2">is_naturally_transformable_to</a> <font color="Maroon" title="c6">F3</font>
 
<b>by </b><i><a class="txt" href="isocat_1.html#E1:52"><i><font color="Green" title="E35">A1</font></i></a>, <a class="txt" href="isocat_1.html#E2:52"><i><font color="Green" title="E36">A2</font></i></a>, <a class="ref" href="nattra_1.html#T25" title="NATTRA_1:th.25">NATTRA_1:25</a></i>;<br/>
<a NAME="E8:52"/><i><font color="Green" title="E42">A8</font></i>: 
( <font color="Maroon" title="c7">G1</font> <a href="cat_1.html#K14" title="CAT_1:func.14">*</a> <font color="Maroon" title="c4">F1</font> <a href="nattra_1.html#R2" title="NATTRA_1:pred.2">is_naturally_transformable_to</a> <font color="Maroon" title="c9">G3</font> <a href="cat_1.html#K14" title="CAT_1:func.14">*</a> <font color="Maroon" title="c4">F1</font> &amp; <font color="Maroon" title="c7">G1</font> <a href="cat_1.html#K14" title="CAT_1:func.14">*</a> <font color="Maroon" title="c4">F1</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#K14" title="CAT_1:func.14">*</a> <font color="Maroon" title="c4">F1</font> &amp; <font color="Maroon" title="c8">G2</font> <a href="cat_1.html#K14" title="CAT_1:func.14">*</a> <font color="Maroon" title="c4">F1</font> <a href="nattra_1.html#R2" title="NATTRA_1:pred.2">is_naturally_transformable_to</a> <font color="Maroon" title="c9">G3</font> <a href="cat_1.html#K14" title="CAT_1:func.14">*</a> <font color="Maroon" title="c4">F1</font> )
 
<b>by </b><i><a class="txt" href="isocat_1.html#E3:52"><i><font color="Green" title="E37">A3</font></i></a>, <a class="txt" href="isocat_1.html#E4:52"><i><font color="Green" title="E38">A4</font></i></a>, <a class="txt" href="isocat_1.html#E6:52"><i><font color="Green" title="E40">A6</font></i></a>, <a class="ref" href="isocat_1.html#T27" target="_self" title="ISOCAT_1:th.27">Th27</a></i>;<br/>
<a NAME="E9:52"/><i><font color="Green" title="E43">A9</font></i>: 
<font color="Maroon" title="c8">G2</font> <a href="cat_1.html#K14" title="CAT_1:func.14">*</a> <font color="Maroon" title="c5">F2</font> <a href="nattra_1.html#R2" title="NATTRA_1:pred.2">is_naturally_transformable_to</a> <font color="Maroon" title="c9">G3</font> <a href="cat_1.html#K14" title="CAT_1:func.14">*</a> <font color="Maroon" title="c5">F2</font>
 
<b>by </b><i><a class="txt" href="isocat_1.html#E4:52"><i><font color="Green" title="E38">A4</font></i></a>, <a class="ref" href="isocat_1.html#T27" target="_self" title="ISOCAT_1:th.27">Th27</a></i>;<br/>
<a NAME="E10:52"/><i><font color="Green" title="E44">A10</font></i>: 
<font color="Maroon" title="c8">G2</font> <a href="cat_1.html#K14" title="CAT_1:func.14">*</a> <font color="Maroon" title="c4">F1</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#K14" title="CAT_1:func.14">*</a> <font color="Maroon" title="c5">F2</font>
 
<b>by </b><i><a class="txt" href="isocat_1.html#E1:52"><i><font color="Green" title="E35">A1</font></i></a>, <a class="ref" href="isocat_1.html#T27" target="_self" title="ISOCAT_1:th.27">Th27</a></i>;<br/>
<a NAME="E11:52"/><b>then </b><i><font color="Green" title="E45">A11</font></i>: 
<font color="Maroon" title="c7">G1</font> <a href="cat_1.html#K14" title="CAT_1:func.14">*</a> <font color="Maroon" title="c4">F1</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#K14" title="CAT_1:func.14">*</a> <font color="Maroon" title="c5">F2</font>
 
<b>by </b><i><a class="txt" href="isocat_1.html#E8:52"><i><font color="Green" title="E42">A8</font></i></a>, <a class="ref" href="nattra_1.html#T25" title="NATTRA_1:th.25">NATTRA_1:25</a></i>;<br/>
<a NAME="E12:52"/><i><font color="Green" title="E46">A12</font></i>: 
( <font color="Maroon" title="c13">t'</font> <a href="isocat_1.html#K6" title="ISOCAT_1:func.6">(#)</a> <font color="Maroon" title="c11">s'</font> <a href="funct_2.html#R2" title="FUNCT_2:pred.2">=</a> <span class="p1">(<span class="default"><font color="Maroon" title="c9">G3</font> <a href="isocat_1.html#K4" title="ISOCAT_1:func.4">*</a> <font color="Maroon" title="c11">s'</font></span>)</span> <a href="nattra_1.html#K8" title="NATTRA_1:func.8">`*`</a> <span class="p1">(<span class="default"><font color="Maroon" title="c13">t'</font> <a href="isocat_1.html#K5" title="ISOCAT_1:func.5">*</a> <font color="Maroon" title="c5">F2</font></span>)</span> &amp; <font color="Maroon" title="c12">t</font> <a href="isocat_1.html#K6" title="ISOCAT_1:func.6">(#)</a> <font color="Maroon" title="c10">s</font> <a href="funct_2.html#R2" title="FUNCT_2:pred.2">=</a> <span class="p1">(<span class="default"><font color="Maroon" title="c8">G2</font> <a href="isocat_1.html#K4" title="ISOCAT_1:func.4">*</a> <font color="Maroon" title="c10">s</font></span>)</span> <a href="nattra_1.html#K8" title="NATTRA_1:func.8">`*`</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="c4">F1</font></span>)</span> )
 
<b>by </b><i><a class="txt" href="isocat_1.html#E1:52"><i><font color="Green" title="E35">A1</font></i></a>, <a class="txt" href="isocat_1.html#E2:52"><i><font color="Green" title="E36">A2</font></i></a>, <a class="txt" href="isocat_1.html#E3:52"><i><font color="Green" title="E37">A3</font></i></a>, <a class="txt" href="isocat_1.html#E4:52"><i><font color="Green" title="E38">A4</font></i></a>, <a class="ref" href="isocat_1.html#T41" target="_self" title="ISOCAT_1:th.41">Th41</a></i>;<br/>
<b>thus </b><span class="p1">(<span class="default"><font color="Maroon" title="c13">t'</font> <a href="nattra_1.html#K8" title="NATTRA_1:func.8">`*`</a> <font color="Maroon" title="c12">t</font></span>)</span> <a href="isocat_1.html#K6" title="ISOCAT_1:func.6">(#)</a> <span class="p1">(<span class="default"><font color="Maroon" title="c11">s'</font> <a href="nattra_1.html#K8" title="NATTRA_1:func.8">`*`</a> <font color="Maroon" title="c10">s</font></span>)</span> = 
<span class="p1">(<span class="default"><font color="Maroon" title="c9">G3</font> <a href="isocat_1.html#K4" title="ISOCAT_1:func.4">*</a> <span class="p2">(<span class="default"><font color="Maroon" title="c11">s'</font> <a href="nattra_1.html#K8" title="NATTRA_1:func.8">`*`</a> <font color="Maroon" title="c10">s</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="c13">t'</font> <a href="nattra_1.html#K8" title="NATTRA_1:func.8">`*`</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="c4">F1</font></span>)</span>
<b>by </b><i><a class="txt" href="isocat_1.html#E6:52"><i><font color="Green" title="E40">A6</font></i></a>, <a class="txt" href="isocat_1.html#E7:52"><i><font color="Green" title="E41">A7</font></i></a>, <a class="ref" href="isocat_1.html#T41" target="_self" title="ISOCAT_1:th.41">Th41</a></i>
<br/>.= 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><font color="Maroon" title="c9">G3</font> <a href="isocat_1.html#K4" title="ISOCAT_1:func.4">*</a> <font color="Maroon" title="c11">s'</font></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">G3</font> <a href="isocat_1.html#K4" title="ISOCAT_1:func.4">*</a> <font color="Maroon" title="c10">s</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="c13">t'</font> <a href="nattra_1.html#K8" title="NATTRA_1:func.8">`*`</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="c4">F1</font></span>)</span>
<b>by </b><i><a class="txt" href="isocat_1.html#E1:52"><i><font color="Green" title="E35">A1</font></i></a>, <a class="txt" href="isocat_1.html#E2:52"><i><font color="Green" title="E36">A2</font></i></a>, <a class="ref" href="isocat_1.html#T32" target="_self" title="ISOCAT_1:th.32">Th32</a></i>
<br/>.= 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><font color="Maroon" title="c9">G3</font> <a href="isocat_1.html#K4" title="ISOCAT_1:func.4">*</a> <font color="Maroon" title="c11">s'</font></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">G3</font> <a href="isocat_1.html#K4" title="ISOCAT_1:func.4">*</a> <font color="Maroon" title="c10">s</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="c13">t'</font> <a href="isocat_1.html#K5" title="ISOCAT_1:func.5">*</a> <font color="Maroon" title="c4">F1</font></span>)</span> <a href="nattra_1.html#K8" title="NATTRA_1:func.8">`*`</a> <span class="p2">(<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="c4">F1</font></span>)</span></span>)</span>
<b>by </b><i><a class="txt" href="isocat_1.html#E3:52"><i><font color="Green" title="E37">A3</font></i></a>, <a class="txt" href="isocat_1.html#E4:52"><i><font color="Green" title="E38">A4</font></i></a>, <a class="ref" href="isocat_1.html#T33" target="_self" title="ISOCAT_1:th.33">Th33</a></i>
<br/>.= 
<span class="p1">(<span class="default"><font color="Maroon" title="c9">G3</font> <a href="isocat_1.html#K4" title="ISOCAT_1:func.4">*</a> <font color="Maroon" title="c11">s'</font></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">G3</font> <a href="isocat_1.html#K4" title="ISOCAT_1:func.4">*</a> <font color="Maroon" title="c10">s</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="c13">t'</font> <a href="isocat_1.html#K5" title="ISOCAT_1:func.5">*</a> <font color="Maroon" title="c4">F1</font></span>)</span> <a href="nattra_1.html#K8" title="NATTRA_1:func.8">`*`</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="c4">F1</font></span>)</span></span>)</span></span>)</span>
<b>by </b><i><a class="txt" href="isocat_1.html#E5:52"><i><font color="Green" title="E39">A5</font></i></a>, <a class="txt" href="isocat_1.html#E8:52"><i><font color="Green" title="E42">A8</font></i></a>, <a class="ref" href="nattra_1.html#T28" title="NATTRA_1:th.28">NATTRA_1:28</a></i>
<br/>.= 
<span class="p1">(<span class="default"><font color="Maroon" title="c9">G3</font> <a href="isocat_1.html#K4" title="ISOCAT_1:func.4">*</a> <font color="Maroon" title="c11">s'</font></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"><span class="p3">(<span class="default"><font color="Maroon" title="c9">G3</font> <a href="isocat_1.html#K4" title="ISOCAT_1:func.4">*</a> <font color="Maroon" title="c10">s</font></span>)</span> <a href="nattra_1.html#K8" title="NATTRA_1:func.8">`*`</a> <span class="p3">(<span class="default"><font color="Maroon" title="c13">t'</font> <a href="isocat_1.html#K5" title="ISOCAT_1:func.5">*</a> <font color="Maroon" title="c4">F1</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="c12">t</font> <a href="isocat_1.html#K5" title="ISOCAT_1:func.5">*</a> <font color="Maroon" title="c4">F1</font></span>)</span></span>)</span>
<b>by </b><i><a class="txt" href="isocat_1.html#E5:52"><i><font color="Green" title="E39">A5</font></i></a>, <a class="txt" href="isocat_1.html#E8:52"><i><font color="Green" title="E42">A8</font></i></a>, <a class="ref" href="nattra_1.html#T28" title="NATTRA_1:th.28">NATTRA_1:28</a></i>
<br/>.= 
<span class="p1">(<span class="default"><font color="Maroon" title="c9">G3</font> <a href="isocat_1.html#K4" title="ISOCAT_1:func.4">*</a> <font color="Maroon" title="c11">s'</font></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="c13">t'</font> <a href="isocat_1.html#K6" title="ISOCAT_1:func.6">(#)</a> <font color="Maroon" title="c10">s</font></span>)</span> <a href="nattra_1.html#K8" title="NATTRA_1:func.8">`*`</a> <span class="p2">(<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="c4">F1</font></span>)</span></span>)</span>
<b>by </b><i><a class="txt" href="isocat_1.html#E1:52"><i><font color="Green" title="E35">A1</font></i></a>, <a class="txt" href="isocat_1.html#E4:52"><i><font color="Green" title="E38">A4</font></i></a>, <a class="ref" href="isocat_1.html#T41" target="_self" title="ISOCAT_1:th.41">Th41</a></i>
<br/>.= 
<span class="p1">(<span class="default"><font color="Maroon" title="c9">G3</font> <a href="isocat_1.html#K4" title="ISOCAT_1:func.4">*</a> <font color="Maroon" title="c11">s'</font></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="c13">t'</font> <a href="isocat_1.html#K5" title="ISOCAT_1:func.5">*</a> <font color="Maroon" title="c5">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="c8">G2</font> <a href="isocat_1.html#K4" title="ISOCAT_1:func.4">*</a> <font color="Maroon" title="c10">s</font></span>)</span> <a href="nattra_1.html#K8" title="NATTRA_1:func.8">`*`</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="c4">F1</font></span>)</span></span>)</span></span>)</span>
<b>by </b><i><a class="txt" href="isocat_1.html#E8:52"><i><font color="Green" title="E42">A8</font></i></a>, <a class="txt" href="isocat_1.html#E9:52"><i><font color="Green" title="E43">A9</font></i></a>, <a class="txt" href="isocat_1.html#E10:52"><i><font color="Green" title="E44">A10</font></i></a>, <a class="ref" href="nattra_1.html#T28" title="NATTRA_1:th.28">NATTRA_1:28</a></i>
<br/>.= 
<span class="p1">(<span class="default"><font color="Maroon" title="c13">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="nattra_1.html#K8" title="NATTRA_1:func.8">`*`</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="c10">s</font></span>)</span>
<b>by </b><i><a class="txt" href="isocat_1.html#E5:52"><i><font color="Green" title="E39">A5</font></i></a>, <a class="txt" href="isocat_1.html#E9:52"><i><font color="Green" title="E43">A9</font></i></a>, <a class="txt" href="isocat_1.html#E11:52"><i><font color="Green" title="E45">A11</font></i></a>, <a class="txt" href="isocat_1.html#E12:52"><i><font color="Green" title="E46">A12</font></i></a>, <a class="ref" href="nattra_1.html#T28" title="NATTRA_1:th.28">NATTRA_1:28</a></i>
; <a class="txt" onclick="hs(this)" href="javascript:()"><i><font color="Red">::  thesis: </font></i></a><span class="hide"> verum</span><br/>


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