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<span class="kw">let </span><font color="Maroon" title="c1">A1</font>, <font color="Maroon" title="c2">A2</font>, <font color="Maroon" title="c3">B1</font>, <font color="Maroon" title="c4">B2</font>, <font color="Maroon" title="c5">C1</font>, <font color="Maroon" title="c6">C2</font> be   <a href="cat_6.html#NM2" title="CAT_6:NM.2">category</a>; <a class="txt" onmouseover="tooltip.show('hs',this)" onmouseout="tooltip.hide()" 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> being   <a href="cat_6.html#NM4" title="CAT_6:NM.4">Functor</a> of <font color="Maroon" title="c1">A1</font>,<font color="Maroon" title="c3">B1</font><br/>  for <font color="Olive" title="b2">F2</font> being   <a href="cat_6.html#NM4" title="CAT_6:NM.4">Functor</a> of <font color="Maroon" title="c2">A2</font>,<font color="Maroon" title="c4">B2</font><br/>  for <font color="Olive" title="b3">G1</font> being   <a href="cat_6.html#NM4" title="CAT_6:NM.4">Functor</a> of <font color="Maroon" title="c3">B1</font>,<font color="Maroon" title="c5">C1</font><br/>  for <font color="Olive" title="b4">G2</font> being   <a href="cat_6.html#NM4" title="CAT_6:NM.4">Functor</a> of <font color="Maroon" title="c4">B2</font>,<font color="Maroon" title="c6">C2</font>  st <font color="Olive" title="b1">F1</font> is  <a href="cat_6.html#V16" title="CAT_6:attr.16">covariant</a>  &amp; <font color="Olive" title="b3">G1</font> is  <a href="cat_6.html#V16" title="CAT_6:attr.16">covariant</a>  &amp; <font color="Olive" title="b2">F2</font> is  <a href="cat_6.html#V16" title="CAT_6:attr.16">covariant</a>  &amp; <font color="Olive" title="b4">G2</font> is  <a href="cat_6.html#V16" title="CAT_6:attr.16">covariant</a>  holds <br/><span class="p1">(<span class="default"><font color="Olive" title="b3">G1</font> <a href="cat_8.html#K11" title="CAT_8:func.11">[x]</a> <font color="Olive" title="b4">G2</font></span>)</span> <a href="cat_6.html#K11" title="CAT_6:func.11">(*)</a> <span class="p1">(<span class="default"><font color="Olive" title="b1">F1</font> <a href="cat_8.html#K11" title="CAT_8:func.11">[x]</a> <font color="Olive" title="b2">F2</font></span>)</span> <a href="relset_1.html#R2" title="RELSET_1:pred.2">=</a> <span class="p1">(<span class="default"><font color="Olive" title="b3">G1</font> <a href="cat_6.html#K11" title="CAT_6:func.11">(*)</a> <font color="Olive" title="b1">F1</font></span>)</span> <a href="cat_8.html#K11" title="CAT_8:func.11">[x]</a> <span class="p1">(<span class="default"><font color="Olive" title="b4">G2</font> <a href="cat_6.html#K11" title="CAT_6:func.11">(*)</a> <font color="Olive" title="b2">F2</font></span>)</span></span><br/><span class="kw">let </span><font color="Maroon" title="c7">F1</font> be   <a href="cat_6.html#NM4" title="CAT_6:NM.4">Functor</a> of <font color="Maroon" title="c1">A1</font>,<font color="Maroon" title="c3">B1</font>; <a class="txt" onmouseover="tooltip.show('hs',this)" onmouseout="tooltip.hide()" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide">  for <font color="Olive" title="b1">F2</font> being   <a href="cat_6.html#NM4" title="CAT_6:NM.4">Functor</a> of <font color="Maroon" title="c2">A2</font>,<font color="Maroon" title="c4">B2</font><br/>  for <font color="Olive" title="b2">G1</font> being   <a href="cat_6.html#NM4" title="CAT_6:NM.4">Functor</a> of <font color="Maroon" title="c3">B1</font>,<font color="Maroon" title="c5">C1</font><br/>  for <font color="Olive" title="b3">G2</font> being   <a href="cat_6.html#NM4" title="CAT_6:NM.4">Functor</a> of <font color="Maroon" title="c4">B2</font>,<font color="Maroon" title="c6">C2</font>  st <font color="Maroon" title="c7">F1</font> is  <a href="cat_6.html#V16" title="CAT_6:attr.16">covariant</a>  &amp; <font color="Olive" title="b2">G1</font> is  <a href="cat_6.html#V16" title="CAT_6:attr.16">covariant</a>  &amp; <font color="Olive" title="b1">F2</font> is  <a href="cat_6.html#V16" title="CAT_6:attr.16">covariant</a>  &amp; <font color="Olive" title="b3">G2</font> is  <a href="cat_6.html#V16" title="CAT_6:attr.16">covariant</a>  holds <br/><span class="p1">(<span class="default"><font color="Olive" title="b2">G1</font> <a href="cat_8.html#K11" title="CAT_8:func.11">[x]</a> <font color="Olive" title="b3">G2</font></span>)</span> <a href="cat_6.html#K11" title="CAT_6:func.11">(*)</a> <span class="p1">(<span class="default"><font color="Maroon" title="c7">F1</font> <a href="cat_8.html#K11" title="CAT_8:func.11">[x]</a> <font color="Olive" title="b1">F2</font></span>)</span> <a href="relset_1.html#R2" title="RELSET_1:pred.2">=</a> <span class="p1">(<span class="default"><font color="Olive" title="b2">G1</font> <a href="cat_6.html#K11" title="CAT_6:func.11">(*)</a> <font color="Maroon" title="c7">F1</font></span>)</span> <a href="cat_8.html#K11" title="CAT_8:func.11">[x]</a> <span class="p1">(<span class="default"><font color="Olive" title="b3">G2</font> <a href="cat_6.html#K11" title="CAT_6:func.11">(*)</a> <font color="Olive" title="b1">F2</font></span>)</span></span><br/><span class="kw">let </span><font color="Maroon" title="c8">F2</font> be   <a href="cat_6.html#NM4" title="CAT_6:NM.4">Functor</a> of <font color="Maroon" title="c2">A2</font>,<font color="Maroon" title="c4">B2</font>; <a class="txt" onmouseover="tooltip.show('hs',this)" onmouseout="tooltip.hide()" 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> being   <a href="cat_6.html#NM4" title="CAT_6:NM.4">Functor</a> of <font color="Maroon" title="c3">B1</font>,<font color="Maroon" title="c5">C1</font><br/>  for <font color="Olive" title="b2">G2</font> being   <a href="cat_6.html#NM4" title="CAT_6:NM.4">Functor</a> of <font color="Maroon" title="c4">B2</font>,<font color="Maroon" title="c6">C2</font>  st <font color="Maroon" title="c7">F1</font> is  <a href="cat_6.html#V16" title="CAT_6:attr.16">covariant</a>  &amp; <font color="Olive" title="b1">G1</font> is  <a href="cat_6.html#V16" title="CAT_6:attr.16">covariant</a>  &amp; <font color="Maroon" title="c8">F2</font> is  <a href="cat_6.html#V16" title="CAT_6:attr.16">covariant</a>  &amp; <font color="Olive" title="b2">G2</font> is  <a href="cat_6.html#V16" title="CAT_6:attr.16">covariant</a>  holds <br/><span class="p1">(<span class="default"><font color="Olive" title="b1">G1</font> <a href="cat_8.html#K11" title="CAT_8:func.11">[x]</a> <font color="Olive" title="b2">G2</font></span>)</span> <a href="cat_6.html#K11" title="CAT_6:func.11">(*)</a> <span class="p1">(<span class="default"><font color="Maroon" title="c7">F1</font> <a href="cat_8.html#K11" title="CAT_8:func.11">[x]</a> <font color="Maroon" title="c8">F2</font></span>)</span> <a href="relset_1.html#R2" title="RELSET_1:pred.2">=</a> <span class="p1">(<span class="default"><font color="Olive" title="b1">G1</font> <a href="cat_6.html#K11" title="CAT_6:func.11">(*)</a> <font color="Maroon" title="c7">F1</font></span>)</span> <a href="cat_8.html#K11" title="CAT_8:func.11">[x]</a> <span class="p1">(<span class="default"><font color="Olive" title="b2">G2</font> <a href="cat_6.html#K11" title="CAT_6:func.11">(*)</a> <font color="Maroon" title="c8">F2</font></span>)</span></span><br/><span class="kw">let </span><font color="Maroon" title="c9">G1</font> be   <a href="cat_6.html#NM4" title="CAT_6:NM.4">Functor</a> of <font color="Maroon" title="c3">B1</font>,<font color="Maroon" title="c5">C1</font>; <a class="txt" onmouseover="tooltip.show('hs',this)" onmouseout="tooltip.hide()" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide">  for <font color="Olive" title="b1">G2</font> being   <a href="cat_6.html#NM4" title="CAT_6:NM.4">Functor</a> of <font color="Maroon" title="c4">B2</font>,<font color="Maroon" title="c6">C2</font>  st <font color="Maroon" title="c7">F1</font> is  <a href="cat_6.html#V16" title="CAT_6:attr.16">covariant</a>  &amp; <font color="Maroon" title="c9">G1</font> is  <a href="cat_6.html#V16" title="CAT_6:attr.16">covariant</a>  &amp; <font color="Maroon" title="c8">F2</font> is  <a href="cat_6.html#V16" title="CAT_6:attr.16">covariant</a>  &amp; <font color="Olive" title="b1">G2</font> is  <a href="cat_6.html#V16" title="CAT_6:attr.16">covariant</a>  holds <br/><span class="p1">(<span class="default"><font color="Maroon" title="c9">G1</font> <a href="cat_8.html#K11" title="CAT_8:func.11">[x]</a> <font color="Olive" title="b1">G2</font></span>)</span> <a href="cat_6.html#K11" title="CAT_6:func.11">(*)</a> <span class="p1">(<span class="default"><font color="Maroon" title="c7">F1</font> <a href="cat_8.html#K11" title="CAT_8:func.11">[x]</a> <font color="Maroon" title="c8">F2</font></span>)</span> <a href="relset_1.html#R2" title="RELSET_1:pred.2">=</a> <span class="p1">(<span class="default"><font color="Maroon" title="c9">G1</font> <a href="cat_6.html#K11" title="CAT_6:func.11">(*)</a> <font color="Maroon" title="c7">F1</font></span>)</span> <a href="cat_8.html#K11" title="CAT_8:func.11">[x]</a> <span class="p1">(<span class="default"><font color="Olive" title="b1">G2</font> <a href="cat_6.html#K11" title="CAT_6:func.11">(*)</a> <font color="Maroon" title="c8">F2</font></span>)</span></span><br/><span class="kw">let </span><font color="Maroon" title="c10">G2</font> be   <a href="cat_6.html#NM4" title="CAT_6:NM.4">Functor</a> of <font color="Maroon" title="c4">B2</font>,<font color="Maroon" title="c6">C2</font>; <a class="txt" onmouseover="tooltip.show('hs',this)" onmouseout="tooltip.hide()" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide"> ( <font color="Maroon" title="c7">F1</font> is  <a href="cat_6.html#V16" title="CAT_6:attr.16">covariant</a>  &amp; <font color="Maroon" title="c9">G1</font> is  <a href="cat_6.html#V16" title="CAT_6:attr.16">covariant</a>  &amp; <font color="Maroon" title="c8">F2</font> is  <a href="cat_6.html#V16" title="CAT_6:attr.16">covariant</a>  &amp; <font color="Maroon" title="c10">G2</font> is  <a href="cat_6.html#V16" title="CAT_6:attr.16">covariant</a>  implies <span class="p1">(<span class="default"><font color="Maroon" title="c9">G1</font> <a href="cat_8.html#K11" title="CAT_8:func.11">[x]</a> <font color="Maroon" title="c10">G2</font></span>)</span> <a href="cat_6.html#K11" title="CAT_6:func.11">(*)</a> <span class="p1">(<span class="default"><font color="Maroon" title="c7">F1</font> <a href="cat_8.html#K11" title="CAT_8:func.11">[x]</a> <font color="Maroon" title="c8">F2</font></span>)</span> <a href="relset_1.html#R2" title="RELSET_1:pred.2">=</a> <span class="p1">(<span class="default"><font color="Maroon" title="c9">G1</font> <a href="cat_6.html#K11" title="CAT_6:func.11">(*)</a> <font color="Maroon" title="c7">F1</font></span>)</span> <a href="cat_8.html#K11" title="CAT_8:func.11">[x]</a> <span class="p1">(<span class="default"><font color="Maroon" title="c10">G2</font> <a href="cat_6.html#K11" title="CAT_6:func.11">(*)</a> <font color="Maroon" title="c8">F2</font></span>)</span> )</span><br/>









<span class="kw">assume </span><a NAME="E1:84"/><span class="lab"><font color="Green" title="E44">A1</font></span>: 
<font color="Maroon" title="c7">F1</font> is  <a href="cat_6.html#V16" title="CAT_6:attr.16">covariant</a> 
 ; <a class="txt" onmouseover="tooltip.show('hs',this)" onmouseout="tooltip.hide()" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide"> (  not <font color="Maroon" title="c9">G1</font> is  <a href="cat_6.html#V16" title="CAT_6:attr.16">covariant</a>  or  not <font color="Maroon" title="c8">F2</font> is  <a href="cat_6.html#V16" title="CAT_6:attr.16">covariant</a>  or  not <font color="Maroon" title="c10">G2</font> is  <a href="cat_6.html#V16" title="CAT_6:attr.16">covariant</a>  or <span class="p1">(<span class="default"><font color="Maroon" title="c9">G1</font> <a href="cat_8.html#K11" title="CAT_8:func.11">[x]</a> <font color="Maroon" title="c10">G2</font></span>)</span> <a href="cat_6.html#K11" title="CAT_6:func.11">(*)</a> <span class="p1">(<span class="default"><font color="Maroon" title="c7">F1</font> <a href="cat_8.html#K11" title="CAT_8:func.11">[x]</a> <font color="Maroon" title="c8">F2</font></span>)</span> <a href="relset_1.html#R2" title="RELSET_1:pred.2">=</a> <span class="p1">(<span class="default"><font color="Maroon" title="c9">G1</font> <a href="cat_6.html#K11" title="CAT_6:func.11">(*)</a> <font color="Maroon" title="c7">F1</font></span>)</span> <a href="cat_8.html#K11" title="CAT_8:func.11">[x]</a> <span class="p1">(<span class="default"><font color="Maroon" title="c10">G2</font> <a href="cat_6.html#K11" title="CAT_6:func.11">(*)</a> <font color="Maroon" title="c8">F2</font></span>)</span> )</span><br/>

<span class="kw">assume </span><a NAME="E2:84"/><span class="lab"><font color="Green" title="E45">A2</font></span>: 
<font color="Maroon" title="c9">G1</font> is  <a href="cat_6.html#V16" title="CAT_6:attr.16">covariant</a> 
 ; <a class="txt" onmouseover="tooltip.show('hs',this)" onmouseout="tooltip.hide()" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide"> (  not <font color="Maroon" title="c8">F2</font> is  <a href="cat_6.html#V16" title="CAT_6:attr.16">covariant</a>  or  not <font color="Maroon" title="c10">G2</font> is  <a href="cat_6.html#V16" title="CAT_6:attr.16">covariant</a>  or <span class="p1">(<span class="default"><font color="Maroon" title="c9">G1</font> <a href="cat_8.html#K11" title="CAT_8:func.11">[x]</a> <font color="Maroon" title="c10">G2</font></span>)</span> <a href="cat_6.html#K11" title="CAT_6:func.11">(*)</a> <span class="p1">(<span class="default"><font color="Maroon" title="c7">F1</font> <a href="cat_8.html#K11" title="CAT_8:func.11">[x]</a> <font color="Maroon" title="c8">F2</font></span>)</span> <a href="relset_1.html#R2" title="RELSET_1:pred.2">=</a> <span class="p1">(<span class="default"><font color="Maroon" title="c9">G1</font> <a href="cat_6.html#K11" title="CAT_6:func.11">(*)</a> <font color="Maroon" title="c7">F1</font></span>)</span> <a href="cat_8.html#K11" title="CAT_8:func.11">[x]</a> <span class="p1">(<span class="default"><font color="Maroon" title="c10">G2</font> <a href="cat_6.html#K11" title="CAT_6:func.11">(*)</a> <font color="Maroon" title="c8">F2</font></span>)</span> )</span><br/>

<span class="kw">assume </span><a NAME="E3:84"/><span class="lab"><font color="Green" title="E46">A3</font></span>: 
<font color="Maroon" title="c8">F2</font> is  <a href="cat_6.html#V16" title="CAT_6:attr.16">covariant</a> 
 ; <a class="txt" onmouseover="tooltip.show('hs',this)" onmouseout="tooltip.hide()" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide"> (  not <font color="Maroon" title="c10">G2</font> is  <a href="cat_6.html#V16" title="CAT_6:attr.16">covariant</a>  or <span class="p1">(<span class="default"><font color="Maroon" title="c9">G1</font> <a href="cat_8.html#K11" title="CAT_8:func.11">[x]</a> <font color="Maroon" title="c10">G2</font></span>)</span> <a href="cat_6.html#K11" title="CAT_6:func.11">(*)</a> <span class="p1">(<span class="default"><font color="Maroon" title="c7">F1</font> <a href="cat_8.html#K11" title="CAT_8:func.11">[x]</a> <font color="Maroon" title="c8">F2</font></span>)</span> <a href="relset_1.html#R2" title="RELSET_1:pred.2">=</a> <span class="p1">(<span class="default"><font color="Maroon" title="c9">G1</font> <a href="cat_6.html#K11" title="CAT_6:func.11">(*)</a> <font color="Maroon" title="c7">F1</font></span>)</span> <a href="cat_8.html#K11" title="CAT_8:func.11">[x]</a> <span class="p1">(<span class="default"><font color="Maroon" title="c10">G2</font> <a href="cat_6.html#K11" title="CAT_6:func.11">(*)</a> <font color="Maroon" title="c8">F2</font></span>)</span> )</span><br/>

<span class="kw">assume </span><a NAME="E4:84"/><span class="lab"><font color="Green" title="E47">A4</font></span>: 
<font color="Maroon" title="c10">G2</font> is  <a href="cat_6.html#V16" title="CAT_6:attr.16">covariant</a> 
 ; <a class="txt" onmouseover="tooltip.show('hs',this)" onmouseout="tooltip.hide()" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide"> <span class="p1">(<span class="default"><font color="Maroon" title="c9">G1</font> <a href="cat_8.html#K11" title="CAT_8:func.11">[x]</a> <font color="Maroon" title="c10">G2</font></span>)</span> <a href="cat_6.html#K11" title="CAT_6:func.11">(*)</a> <span class="p1">(<span class="default"><font color="Maroon" title="c7">F1</font> <a href="cat_8.html#K11" title="CAT_8:func.11">[x]</a> <font color="Maroon" title="c8">F2</font></span>)</span> <a href="relset_1.html#R2" title="RELSET_1:pred.2">=</a> <span class="p1">(<span class="default"><font color="Maroon" title="c9">G1</font> <a href="cat_6.html#K11" title="CAT_6:func.11">(*)</a> <font color="Maroon" title="c7">F1</font></span>)</span> <a href="cat_8.html#K11" title="CAT_8:func.11">[x]</a> <span class="p1">(<span class="default"><font color="Maroon" title="c10">G2</font> <a href="cat_6.html#K11" title="CAT_6:func.11">(*)</a> <font color="Maroon" title="c8">F2</font></span>)</span></span><br/>

<a NAME="E5:84"/><span class="lab"><font color="Green" title="E48">A5</font></span>: 
<font color="Maroon" title="c7">F1</font> <a href="cat_8.html#K11" title="CAT_8:func.11">[x]</a> <font color="Maroon" title="c8">F2</font> is  <a href="cat_6.html#V16" title="CAT_6:attr.16">covariant</a> 
 
<span class="kw">by</span> <span class="lab"><a class="txt" href="#E1:84"><span class="lab"><font color="Green" title="E44">A1</font></span></a>, <a class="txt" href="#E3:84"><span class="lab"><font color="Green" title="E46">A3</font></span></a>, <a class="ref" href="cat_8.html#D22" target="_self" onmouseover="rs('cat_8/D22')" onmouseout="rh()">Def22</a></span>;<br/>
<a NAME="E6:84"/><span class="lab"><font color="Green" title="E49">A6</font></span>: 
<font color="Maroon" title="c9">G1</font> <a href="cat_8.html#K11" title="CAT_8:func.11">[x]</a> <font color="Maroon" title="c10">G2</font> is  <a href="cat_6.html#V16" title="CAT_6:attr.16">covariant</a> 
 
<span class="kw">by</span> <span class="lab"><a class="txt" href="#E2:84"><span class="lab"><font color="Green" title="E45">A2</font></span></a>, <a class="txt" href="#E4:84"><span class="lab"><font color="Green" title="E47">A4</font></span></a>, <a class="ref" href="cat_8.html#D22" target="_self" onmouseover="rs('cat_8/D22')" onmouseout="rh()">Def22</a></span>;<br/>
<a NAME="E7:84"/><span class="lab"><font color="Green" title="E50">A7</font></span>: 
<font color="Maroon" title="c9">G1</font> <a href="cat_6.html#K11" title="CAT_6:func.11">(*)</a> <font color="Maroon" title="c7">F1</font> is  <a href="cat_6.html#V16" title="CAT_6:attr.16">covariant</a> 
 
<span class="kw">by</span> <span class="lab"><a class="txt" href="#E1:84"><span class="lab"><font color="Green" title="E44">A1</font></span></a>, <a class="txt" href="#E2:84"><span class="lab"><font color="Green" title="E45">A2</font></span></a>, <a class="ref" href="cat_6.html#T35" onmouseover="rs('cat_6/T35')" onmouseout="rh()">CAT_6:35</a></span>;<br/>
<a NAME="E8:84"/><span class="lab"><font color="Green" title="E51">A8</font></span>: 
<font color="Maroon" title="c10">G2</font> <a href="cat_6.html#K11" title="CAT_6:func.11">(*)</a> <font color="Maroon" title="c8">F2</font> is  <a href="cat_6.html#V16" title="CAT_6:attr.16">covariant</a> 
 
<span class="kw">by</span> <span class="lab"><a class="txt" href="#E3:84"><span class="lab"><font color="Green" title="E46">A3</font></span></a>, <a class="txt" href="#E4:84"><span class="lab"><font color="Green" title="E47">A4</font></span></a>, <a class="ref" href="cat_6.html#T35" onmouseover="rs('cat_6/T35')" onmouseout="rh()">CAT_6:35</a></span>;<br/>
<a NAME="E9:84"/><span class="lab"><font color="Green" title="E52">A9</font></span>: 
<span class="p1">(<span class="default"><font color="Maroon" title="c9">G1</font> <a href="cat_8.html#K11" title="CAT_8:func.11">[x]</a> <font color="Maroon" title="c10">G2</font></span>)</span> <a href="cat_6.html#K11" title="CAT_6:func.11">(*)</a> <span class="p1">(<span class="default"><font color="Maroon" title="c7">F1</font> <a href="cat_8.html#K11" title="CAT_8:func.11">[x]</a> <font color="Maroon" title="c8">F2</font></span>)</span> is  <a href="cat_6.html#V16" title="CAT_6:attr.16">covariant</a> 
 
<span class="kw">by</span> <span class="lab"><a class="txt" href="#E5:84"><span class="lab"><font color="Green" title="E48">A5</font></span></a>, <a class="txt" href="#E6:84"><span class="lab"><font color="Green" title="E49">A6</font></span></a>, <a class="ref" href="cat_6.html#T35" onmouseover="rs('cat_6/T35')" onmouseout="rh()">CAT_6:35</a></span>;<br/>
<span class="lab"><font color="Green" title="E53">A10</font></span>: <span class="p1">(<span class="default"><font color="Maroon" title="c9">G1</font> <a href="cat_6.html#K11" title="CAT_6:func.11">(*)</a> <font color="Maroon" title="c7">F1</font></span>)</span> <a href="cat_6.html#K11" title="CAT_6:func.11">(*)</a> <span class="p1">(<span class="default"><a href="cat_8.html#K9" title="CAT_8:func.9">pr1</a> (<font color="Maroon" title="c1">A1</font>,<font color="Maroon" title="c2">A2</font>)</span>)</span> = 
<font color="Maroon" title="c9">G1</font> <a href="cat_6.html#K11" title="CAT_6:func.11">(*)</a> <span class="p1">(<span class="default"><font color="Maroon" title="c7">F1</font> <a href="cat_6.html#K11" title="CAT_6:func.11">(*)</a> <span class="p2">(<span class="default"><a href="cat_8.html#K9" title="CAT_8:func.9">pr1</a> (<font color="Maroon" title="c1">A1</font>,<font color="Maroon" title="c2">A2</font>)</span>)</span></span>)</span>
<span class="kw">by</span> <span class="lab"><a class="txt" href="#E1:84"><span class="lab"><font color="Green" title="E44">A1</font></span></a>, <a class="txt" href="#E2:84"><span class="lab"><font color="Green" title="E45">A2</font></span></a>, <a class="ref" href="cat_7.html#T10" onmouseover="rs('cat_7/T10')" onmouseout="rh()">CAT_7:10</a></span>
<br/>.= 
<font color="Maroon" title="c9">G1</font> <a href="cat_6.html#K11" title="CAT_6:func.11">(*)</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="cat_8.html#K9" title="CAT_8:func.9">pr1</a> (<font color="Maroon" title="c3">B1</font>,<font color="Maroon" title="c4">B2</font>)</span>)</span> <a href="cat_6.html#K11" title="CAT_6:func.11">(*)</a> <span class="p2">(<span class="default"><font color="Maroon" title="c7">F1</font> <a href="cat_8.html#K11" title="CAT_8:func.11">[x]</a> <font color="Maroon" title="c8">F2</font></span>)</span></span>)</span>
<span class="kw">by</span> <span class="lab"><a class="txt" href="#E1:84"><span class="lab"><font color="Green" title="E44">A1</font></span></a>, <a class="txt" href="#E3:84"><span class="lab"><font color="Green" title="E46">A3</font></span></a>, <a class="ref" href="cat_8.html#D22" target="_self" onmouseover="rs('cat_8/D22')" onmouseout="rh()">Def22</a></span>
<br/>.= 
<span class="p1">(<span class="default"><font color="Maroon" title="c9">G1</font> <a href="cat_6.html#K11" title="CAT_6:func.11">(*)</a> <span class="p2">(<span class="default"><a href="cat_8.html#K9" title="CAT_8:func.9">pr1</a> (<font color="Maroon" title="c3">B1</font>,<font color="Maroon" title="c4">B2</font>)</span>)</span></span>)</span> <a href="cat_6.html#K11" title="CAT_6:func.11">(*)</a> <span class="p1">(<span class="default"><font color="Maroon" title="c7">F1</font> <a href="cat_8.html#K11" title="CAT_8:func.11">[x]</a> <font color="Maroon" title="c8">F2</font></span>)</span>
<span class="kw">by</span> <span class="lab"><a class="txt" href="#E5:84"><span class="lab"><font color="Green" title="E48">A5</font></span></a>, <a class="txt" href="#E2:84"><span class="lab"><font color="Green" title="E45">A2</font></span></a>, <a class="ref" href="cat_7.html#T10" onmouseover="rs('cat_7/T10')" onmouseout="rh()">CAT_7:10</a></span>
<br/>.= 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="cat_8.html#K9" title="CAT_8:func.9">pr1</a> (<font color="Maroon" title="c5">C1</font>,<font color="Maroon" title="c6">C2</font>)</span>)</span> <a href="cat_6.html#K11" title="CAT_6:func.11">(*)</a> <span class="p2">(<span class="default"><font color="Maroon" title="c9">G1</font> <a href="cat_8.html#K11" title="CAT_8:func.11">[x]</a> <font color="Maroon" title="c10">G2</font></span>)</span></span>)</span> <a href="cat_6.html#K11" title="CAT_6:func.11">(*)</a> <span class="p1">(<span class="default"><font color="Maroon" title="c7">F1</font> <a href="cat_8.html#K11" title="CAT_8:func.11">[x]</a> <font color="Maroon" title="c8">F2</font></span>)</span>
<span class="kw">by</span> <span class="lab"><a class="txt" href="#E2:84"><span class="lab"><font color="Green" title="E45">A2</font></span></a>, <a class="txt" href="#E4:84"><span class="lab"><font color="Green" title="E47">A4</font></span></a>, <a class="ref" href="cat_8.html#D22" target="_self" onmouseover="rs('cat_8/D22')" onmouseout="rh()">Def22</a></span>
<br/>.= 
<span class="p1">(<span class="default"><a href="cat_8.html#K9" title="CAT_8:func.9">pr1</a> (<font color="Maroon" title="c5">C1</font>,<font color="Maroon" title="c6">C2</font>)</span>)</span> <a href="cat_6.html#K11" title="CAT_6:func.11">(*)</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><font color="Maroon" title="c9">G1</font> <a href="cat_8.html#K11" title="CAT_8:func.11">[x]</a> <font color="Maroon" title="c10">G2</font></span>)</span> <a href="cat_6.html#K11" title="CAT_6:func.11">(*)</a> <span class="p2">(<span class="default"><font color="Maroon" title="c7">F1</font> <a href="cat_8.html#K11" title="CAT_8:func.11">[x]</a> <font color="Maroon" title="c8">F2</font></span>)</span></span>)</span>
<span class="kw">by</span> <span class="lab"><a class="txt" href="#E5:84"><span class="lab"><font color="Green" title="E48">A5</font></span></a>, <a class="txt" href="#E6:84"><span class="lab"><font color="Green" title="E49">A6</font></span></a>, <a class="ref" href="cat_7.html#T10" onmouseover="rs('cat_7/T10')" onmouseout="rh()">CAT_7:10</a></span>
;<br/>
<span class="p1">(<span class="default"><font color="Maroon" title="c10">G2</font> <a href="cat_6.html#K11" title="CAT_6:func.11">(*)</a> <font color="Maroon" title="c8">F2</font></span>)</span> <a href="cat_6.html#K11" title="CAT_6:func.11">(*)</a> <span class="p1">(<span class="default"><a href="cat_8.html#K10" title="CAT_8:func.10">pr2</a> (<font color="Maroon" title="c1">A1</font>,<font color="Maroon" title="c2">A2</font>)</span>)</span> = 
<font color="Maroon" title="c10">G2</font> <a href="cat_6.html#K11" title="CAT_6:func.11">(*)</a> <span class="p1">(<span class="default"><font color="Maroon" title="c8">F2</font> <a href="cat_6.html#K11" title="CAT_6:func.11">(*)</a> <span class="p2">(<span class="default"><a href="cat_8.html#K10" title="CAT_8:func.10">pr2</a> (<font color="Maroon" title="c1">A1</font>,<font color="Maroon" title="c2">A2</font>)</span>)</span></span>)</span>
<span class="kw">by</span> <span class="lab"><a class="txt" href="#E3:84"><span class="lab"><font color="Green" title="E46">A3</font></span></a>, <a class="txt" href="#E4:84"><span class="lab"><font color="Green" title="E47">A4</font></span></a>, <a class="ref" href="cat_7.html#T10" onmouseover="rs('cat_7/T10')" onmouseout="rh()">CAT_7:10</a></span>
<br/>.= 
<font color="Maroon" title="c10">G2</font> <a href="cat_6.html#K11" title="CAT_6:func.11">(*)</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="cat_8.html#K10" title="CAT_8:func.10">pr2</a> (<font color="Maroon" title="c3">B1</font>,<font color="Maroon" title="c4">B2</font>)</span>)</span> <a href="cat_6.html#K11" title="CAT_6:func.11">(*)</a> <span class="p2">(<span class="default"><font color="Maroon" title="c7">F1</font> <a href="cat_8.html#K11" title="CAT_8:func.11">[x]</a> <font color="Maroon" title="c8">F2</font></span>)</span></span>)</span>
<span class="kw">by</span> <span class="lab"><a class="txt" href="#E1:84"><span class="lab"><font color="Green" title="E44">A1</font></span></a>, <a class="txt" href="#E3:84"><span class="lab"><font color="Green" title="E46">A3</font></span></a>, <a class="ref" href="cat_8.html#D22" target="_self" onmouseover="rs('cat_8/D22')" onmouseout="rh()">Def22</a></span>
<br/>.= 
<span class="p1">(<span class="default"><font color="Maroon" title="c10">G2</font> <a href="cat_6.html#K11" title="CAT_6:func.11">(*)</a> <span class="p2">(<span class="default"><a href="cat_8.html#K10" title="CAT_8:func.10">pr2</a> (<font color="Maroon" title="c3">B1</font>,<font color="Maroon" title="c4">B2</font>)</span>)</span></span>)</span> <a href="cat_6.html#K11" title="CAT_6:func.11">(*)</a> <span class="p1">(<span class="default"><font color="Maroon" title="c7">F1</font> <a href="cat_8.html#K11" title="CAT_8:func.11">[x]</a> <font color="Maroon" title="c8">F2</font></span>)</span>
<span class="kw">by</span> <span class="lab"><a class="txt" href="#E5:84"><span class="lab"><font color="Green" title="E48">A5</font></span></a>, <a class="txt" href="#E4:84"><span class="lab"><font color="Green" title="E47">A4</font></span></a>, <a class="ref" href="cat_7.html#T10" onmouseover="rs('cat_7/T10')" onmouseout="rh()">CAT_7:10</a></span>
<br/>.= 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="cat_8.html#K10" title="CAT_8:func.10">pr2</a> (<font color="Maroon" title="c5">C1</font>,<font color="Maroon" title="c6">C2</font>)</span>)</span> <a href="cat_6.html#K11" title="CAT_6:func.11">(*)</a> <span class="p2">(<span class="default"><font color="Maroon" title="c9">G1</font> <a href="cat_8.html#K11" title="CAT_8:func.11">[x]</a> <font color="Maroon" title="c10">G2</font></span>)</span></span>)</span> <a href="cat_6.html#K11" title="CAT_6:func.11">(*)</a> <span class="p1">(<span class="default"><font color="Maroon" title="c7">F1</font> <a href="cat_8.html#K11" title="CAT_8:func.11">[x]</a> <font color="Maroon" title="c8">F2</font></span>)</span>
<span class="kw">by</span> <span class="lab"><a class="txt" href="#E2:84"><span class="lab"><font color="Green" title="E45">A2</font></span></a>, <a class="txt" href="#E4:84"><span class="lab"><font color="Green" title="E47">A4</font></span></a>, <a class="ref" href="cat_8.html#D22" target="_self" onmouseover="rs('cat_8/D22')" onmouseout="rh()">Def22</a></span>
<br/>.= 
<span class="p1">(<span class="default"><a href="cat_8.html#K10" title="CAT_8:func.10">pr2</a> (<font color="Maroon" title="c5">C1</font>,<font color="Maroon" title="c6">C2</font>)</span>)</span> <a href="cat_6.html#K11" title="CAT_6:func.11">(*)</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><font color="Maroon" title="c9">G1</font> <a href="cat_8.html#K11" title="CAT_8:func.11">[x]</a> <font color="Maroon" title="c10">G2</font></span>)</span> <a href="cat_6.html#K11" title="CAT_6:func.11">(*)</a> <span class="p2">(<span class="default"><font color="Maroon" title="c7">F1</font> <a href="cat_8.html#K11" title="CAT_8:func.11">[x]</a> <font color="Maroon" title="c8">F2</font></span>)</span></span>)</span>
<span class="kw">by</span> <span class="lab"><a class="txt" href="#E5:84"><span class="lab"><font color="Green" title="E48">A5</font></span></a>, <a class="txt" href="#E6:84"><span class="lab"><font color="Green" title="E49">A6</font></span></a>, <a class="ref" href="cat_7.html#T10" onmouseover="rs('cat_7/T10')" onmouseout="rh()">CAT_7:10</a></span>
;<br/>
<span class="kw">hence </span><a NAME="E12:84"/>
<span class="p1">(<span class="default"><font color="Maroon" title="c9">G1</font> <a href="cat_8.html#K11" title="CAT_8:func.11">[x]</a> <font color="Maroon" title="c10">G2</font></span>)</span> <a href="cat_6.html#K11" title="CAT_6:func.11">(*)</a> <span class="p1">(<span class="default"><font color="Maroon" title="c7">F1</font> <a href="cat_8.html#K11" title="CAT_8:func.11">[x]</a> <font color="Maroon" title="c8">F2</font></span>)</span> <a href="relset_1.html#R2" title="RELSET_1:pred.2">=</a> <span class="p1">(<span class="default"><font color="Maroon" title="c9">G1</font> <a href="cat_6.html#K11" title="CAT_6:func.11">(*)</a> <font color="Maroon" title="c7">F1</font></span>)</span> <a href="cat_8.html#K11" title="CAT_8:func.11">[x]</a> <span class="p1">(<span class="default"><font color="Maroon" title="c10">G2</font> <a href="cat_6.html#K11" title="CAT_6:func.11">(*)</a> <font color="Maroon" title="c8">F2</font></span>)</span>
 <span class="kw">by</span> <span class="lab"><a class="txt" href="#E7:84"><span class="lab"><font color="Green" title="E50">A7</font></span></a>, <a class="txt" href="#E10:84"><span class="lab"><font color="Green" title="E53">A10</font></span></a>, <a class="txt" href="#E8:84"><span class="lab"><font color="Green" title="E51">A8</font></span></a>, <a class="txt" href="#E9:84"><span class="lab"><font color="Green" title="E52">A9</font></span></a>, <a class="ref" href="cat_8.html#D22" target="_self" onmouseover="rs('cat_8/D22')" onmouseout="rh()">Def22</a></span>; <a class="txt" onmouseover="tooltip.show('hs',this)" onmouseout="tooltip.hide()" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide"> verum</span><br/>


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