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<span class="kw">let </span><font color="Maroon" title="c1">C</font> be   <a href="cat_4.html#NM1" title="CAT_4:NM.1">Cartesian_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">a</font>, <font color="Olive" title="b2">b</font>, <font color="Olive" title="b3">c</font> being   <a href="cat_1.html#NM1" title="CAT_1:NM.1">Object</a> of <font color="Maroon" title="c1">C</font> holds <br/> ( <span class="p1">(<span class="default"><a href="cat_4.html#K16" title="CAT_4:func.16">Alpha</a> (<font color="Olive" title="b1">a</font>,<font color="Olive" title="b2">b</font>,<font color="Olive" title="b3">c</font>)</span>)</span> <a href="cat_1.html#K5" title="CAT_1:func.5">*</a> <span class="p1">(<span class="default"><a href="cat_4.html#K17" title="CAT_4:func.17">Alpha'</a> (<font color="Olive" title="b1">a</font>,<font color="Olive" title="b2">b</font>,<font color="Olive" title="b3">c</font>)</span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="cat_1.html#K6" title="CAT_1:func.6">id</a> <span class="p1">(<span class="default"><font color="Olive" title="b1">a</font> <a href="cat_4.html#K2" title="CAT_4:func.2">[x]</a> <span class="p2">(<span class="default"><font color="Olive" title="b2">b</font> <a href="cat_4.html#K2" title="CAT_4:func.2">[x]</a> <font color="Olive" title="b3">c</font></span>)</span></span>)</span> &amp; <span class="p1">(<span class="default"><a href="cat_4.html#K17" title="CAT_4:func.17">Alpha'</a> (<font color="Olive" title="b1">a</font>,<font color="Olive" title="b2">b</font>,<font color="Olive" title="b3">c</font>)</span>)</span> <a href="cat_1.html#K5" title="CAT_1:func.5">*</a> <span class="p1">(<span class="default"><a href="cat_4.html#K16" title="CAT_4:func.16">Alpha</a> (<font color="Olive" title="b1">a</font>,<font color="Olive" title="b2">b</font>,<font color="Olive" title="b3">c</font>)</span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="cat_1.html#K6" title="CAT_1:func.6">id</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><font color="Olive" title="b1">a</font> <a href="cat_4.html#K2" title="CAT_4:func.2">[x]</a> <font color="Olive" title="b2">b</font></span>)</span> <a href="cat_4.html#K2" title="CAT_4:func.2">[x]</a> <font color="Olive" title="b3">c</font></span>)</span> )</span><br/><span class="kw">let </span><font color="Maroon" title="c2">a</font>, <font color="Maroon" title="c3">b</font>, <font color="Maroon" title="c4">c</font> be   <a href="cat_1.html#NM1" title="CAT_1:NM.1">Object</a> of <font color="Maroon" title="c1">C</font>; <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide"> ( <span class="p1">(<span class="default"><a href="cat_4.html#K16" title="CAT_4:func.16">Alpha</a> (<font color="Maroon" title="c2">a</font>,<font color="Maroon" title="c3">b</font>,<font color="Maroon" title="c4">c</font>)</span>)</span> <a href="cat_1.html#K5" title="CAT_1:func.5">*</a> <span class="p1">(<span class="default"><a href="cat_4.html#K17" title="CAT_4:func.17">Alpha'</a> (<font color="Maroon" title="c2">a</font>,<font color="Maroon" title="c3">b</font>,<font color="Maroon" title="c4">c</font>)</span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="cat_1.html#K6" title="CAT_1:func.6">id</a> <span class="p1">(<span class="default"><font color="Maroon" title="c2">a</font> <a href="cat_4.html#K2" title="CAT_4:func.2">[x]</a> <span class="p2">(<span class="default"><font color="Maroon" title="c3">b</font> <a href="cat_4.html#K2" title="CAT_4:func.2">[x]</a> <font color="Maroon" title="c4">c</font></span>)</span></span>)</span> &amp; <span class="p1">(<span class="default"><a href="cat_4.html#K17" title="CAT_4:func.17">Alpha'</a> (<font color="Maroon" title="c2">a</font>,<font color="Maroon" title="c3">b</font>,<font color="Maroon" title="c4">c</font>)</span>)</span> <a href="cat_1.html#K5" title="CAT_1:func.5">*</a> <span class="p1">(<span class="default"><a href="cat_4.html#K16" title="CAT_4:func.16">Alpha</a> (<font color="Maroon" title="c2">a</font>,<font color="Maroon" title="c3">b</font>,<font color="Maroon" title="c4">c</font>)</span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="cat_1.html#K6" title="CAT_1:func.6">id</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><font color="Maroon" title="c2">a</font> <a href="cat_4.html#K2" title="CAT_4:func.2">[x]</a> <font color="Maroon" title="c3">b</font></span>)</span> <a href="cat_4.html#K2" title="CAT_4:func.2">[x]</a> <font color="Maroon" title="c4">c</font></span>)</span> )</span><br/>







<span class="kw">set </span><font color="Maroon" title="c5">k</font> = <span class="p1"><a href="cat_4.html#K9" title="CAT_4:func.9">&lt;:</a><span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="cat_4.html#K8" title="CAT_4:func.8">pr2</a> (<font color="Maroon" title="c2">a</font>,<font color="Maroon" title="c3">b</font>)</span>)</span> <a href="cat_1.html#K5" title="CAT_1:func.5">*</a> <span class="p3">(<span class="default"><a href="cat_4.html#K7" title="CAT_4:func.7">pr1</a> (<span class="p4">(<span class="default"><font color="Maroon" title="c2">a</font> <a href="cat_4.html#K2" title="CAT_4:func.2">[x]</a> <font color="Maroon" title="c3">b</font></span>)</span>,<font color="Maroon" title="c4">c</font>)</span>)</span></span>)</span>,<span class="p2">(<span class="default"><a href="cat_4.html#K8" title="CAT_4:func.8">pr2</a> (<span class="p3">(<span class="default"><font color="Maroon" title="c2">a</font> <a href="cat_4.html#K2" title="CAT_4:func.2">[x]</a> <font color="Maroon" title="c3">b</font></span>)</span>,<font color="Maroon" title="c4">c</font>)</span>)</span></span><a href="cat_4.html#K9" title="CAT_4:func.9">:&gt;</a></span>;<br/>
<span class="kw">set </span><font color="Maroon" title="c6">l</font> = <span class="p1"><a href="cat_4.html#K9" title="CAT_4:func.9">&lt;:</a><span class="default"><span class="p2">(<span class="default"><a href="cat_4.html#K7" title="CAT_4:func.7">pr1</a> (<font color="Maroon" title="c2">a</font>,<span class="p3">(<span class="default"><font color="Maroon" title="c3">b</font> <a href="cat_4.html#K2" title="CAT_4:func.2">[x]</a> <font color="Maroon" title="c4">c</font></span>)</span>)</span>)</span>,<span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="cat_4.html#K7" title="CAT_4:func.7">pr1</a> (<font color="Maroon" title="c3">b</font>,<font color="Maroon" title="c4">c</font>)</span>)</span> <a href="cat_1.html#K5" title="CAT_1:func.5">*</a> <span class="p3">(<span class="default"><a href="cat_4.html#K8" title="CAT_4:func.8">pr2</a> (<font color="Maroon" title="c2">a</font>,<span class="p4">(<span class="default"><font color="Maroon" title="c3">b</font> <a href="cat_4.html#K2" title="CAT_4:func.2">[x]</a> <font color="Maroon" title="c4">c</font></span>)</span>)</span>)</span></span>)</span></span><a href="cat_4.html#K9" title="CAT_4:func.9">:&gt;</a></span>;<br/>
<span class="kw">set </span><font color="Maroon" title="c7">f</font> = <span class="p1"><a href="cat_4.html#K9" title="CAT_4:func.9">&lt;:</a><span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="cat_4.html#K7" title="CAT_4:func.7">pr1</a> (<font color="Maroon" title="c2">a</font>,<font color="Maroon" title="c3">b</font>)</span>)</span> <a href="cat_1.html#K5" title="CAT_1:func.5">*</a> <span class="p3">(<span class="default"><a href="cat_4.html#K7" title="CAT_4:func.7">pr1</a> (<span class="p4">(<span class="default"><font color="Maroon" title="c2">a</font> <a href="cat_4.html#K2" title="CAT_4:func.2">[x]</a> <font color="Maroon" title="c3">b</font></span>)</span>,<font color="Maroon" title="c4">c</font>)</span>)</span></span>)</span>,<span class="p2"><a href="cat_4.html#K9" title="CAT_4:func.9">&lt;:</a><span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><a href="cat_4.html#K8" title="CAT_4:func.8">pr2</a> (<font color="Maroon" title="c2">a</font>,<font color="Maroon" title="c3">b</font>)</span>)</span> <a href="cat_1.html#K5" title="CAT_1:func.5">*</a> <span class="p4">(<span class="default"><a href="cat_4.html#K7" title="CAT_4:func.7">pr1</a> (<span class="p5">(<span class="default"><font color="Maroon" title="c2">a</font> <a href="cat_4.html#K2" title="CAT_4:func.2">[x]</a> <font color="Maroon" title="c3">b</font></span>)</span>,<font color="Maroon" title="c4">c</font>)</span>)</span></span>)</span>,<span class="p3">(<span class="default"><a href="cat_4.html#K8" title="CAT_4:func.8">pr2</a> (<span class="p4">(<span class="default"><font color="Maroon" title="c2">a</font> <a href="cat_4.html#K2" title="CAT_4:func.2">[x]</a> <font color="Maroon" title="c3">b</font></span>)</span>,<font color="Maroon" title="c4">c</font>)</span>)</span></span><a href="cat_4.html#K9" title="CAT_4:func.9">:&gt;</a></span></span><a href="cat_4.html#K9" title="CAT_4:func.9">:&gt;</a></span>;<br/>
<span class="kw">set </span><font color="Maroon" title="c8">g</font> = <span class="p1"><a href="cat_4.html#K9" title="CAT_4:func.9">&lt;:</a><span class="default"><span class="p2"><a href="cat_4.html#K9" title="CAT_4:func.9">&lt;:</a><span class="default"><span class="p3">(<span class="default"><a href="cat_4.html#K7" title="CAT_4:func.7">pr1</a> (<font color="Maroon" title="c2">a</font>,<span class="p4">(<span class="default"><font color="Maroon" title="c3">b</font> <a href="cat_4.html#K2" title="CAT_4:func.2">[x]</a> <font color="Maroon" title="c4">c</font></span>)</span>)</span>)</span>,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><a href="cat_4.html#K7" title="CAT_4:func.7">pr1</a> (<font color="Maroon" title="c3">b</font>,<font color="Maroon" title="c4">c</font>)</span>)</span> <a href="cat_1.html#K5" title="CAT_1:func.5">*</a> <span class="p4">(<span class="default"><a href="cat_4.html#K8" title="CAT_4:func.8">pr2</a> (<font color="Maroon" title="c2">a</font>,<span class="p5">(<span class="default"><font color="Maroon" title="c3">b</font> <a href="cat_4.html#K2" title="CAT_4:func.2">[x]</a> <font color="Maroon" title="c4">c</font></span>)</span>)</span>)</span></span>)</span></span><a href="cat_4.html#K9" title="CAT_4:func.9">:&gt;</a></span>,<span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="cat_4.html#K8" title="CAT_4:func.8">pr2</a> (<font color="Maroon" title="c3">b</font>,<font color="Maroon" title="c4">c</font>)</span>)</span> <a href="cat_1.html#K5" title="CAT_1:func.5">*</a> <span class="p3">(<span class="default"><a href="cat_4.html#K8" title="CAT_4:func.8">pr2</a> (<font color="Maroon" title="c2">a</font>,<span class="p4">(<span class="default"><font color="Maroon" title="c3">b</font> <a href="cat_4.html#K2" title="CAT_4:func.2">[x]</a> <font color="Maroon" title="c4">c</font></span>)</span>)</span>)</span></span>)</span></span><a href="cat_4.html#K9" title="CAT_4:func.9">:&gt;</a></span>;<br/>
<a NAME="E1:53"/><span class="lab"><font color="Green" title="E27">A1</font></span>: 
 <a href="cat_1.html#K3" title="CAT_1:func.3">Hom</a> (<span class="p1">(<span class="default"><span class="p2">(<span class="default"><font color="Maroon" title="c2">a</font> <a href="cat_4.html#K2" title="CAT_4:func.2">[x]</a> <font color="Maroon" title="c3">b</font></span>)</span> <a href="cat_4.html#K2" title="CAT_4:func.2">[x]</a> <font color="Maroon" title="c4">c</font></span>)</span>,<span class="p1">(<span class="default"><font color="Maroon" title="c2">a</font> <a href="cat_4.html#K2" title="CAT_4:func.2">[x]</a> <font color="Maroon" title="c3">b</font></span>)</span>) <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a>  <a href="xboole_0.html#K1" title="XBOOLE_0:func.1">{}</a> 
 
<span class="kw">by</span> <span class="lab"><a class="ref" href="cat_4.html#T19" target="_self" title="CAT_4:th.19">Th21</a></span>;<br/>
<a NAME="E2:53"/><span class="lab"><font color="Green" title="E28">A2</font></span>: 
 <a href="cat_1.html#K3" title="CAT_1:func.3">Hom</a> (<span class="p1">(<span class="default"><font color="Maroon" title="c2">a</font> <a href="cat_4.html#K2" title="CAT_4:func.2">[x]</a> <font color="Maroon" title="c3">b</font></span>)</span>,<font color="Maroon" title="c3">b</font>) <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a>  <a href="xboole_0.html#K1" title="XBOOLE_0:func.1">{}</a> 
 
<span class="kw">by</span> <span class="lab"><a class="ref" href="cat_4.html#T19" target="_self" title="CAT_4:th.19">Th21</a></span>;<br/>
<a NAME="E3:53"/><span class="kw">then </span><span class="lab"><font color="Green" title="E29">A3</font></span>: 
 <a href="cat_1.html#K3" title="CAT_1:func.3">Hom</a> (<span class="p1">(<span class="default"><span class="p2">(<span class="default"><font color="Maroon" title="c2">a</font> <a href="cat_4.html#K2" title="CAT_4:func.2">[x]</a> <font color="Maroon" title="c3">b</font></span>)</span> <a href="cat_4.html#K2" title="CAT_4:func.2">[x]</a> <font color="Maroon" title="c4">c</font></span>)</span>,<font color="Maroon" title="c3">b</font>) <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a>  <a href="xboole_0.html#K1" title="XBOOLE_0:func.1">{}</a> 
 
<span class="kw">by</span> <span class="lab"><a class="txt" href="#E1:53"><span class="lab"><font color="Green" title="E27">A1</font></span></a>, <a class="ref" href="cat_1.html#T24" title="CAT_1:th.24">CAT_1:24</a></span>;<br/>
<a NAME="E4:53"/><span class="lab"><font color="Green" title="E30">A4</font></span>: 
 <a href="cat_1.html#K3" title="CAT_1:func.3">Hom</a> (<span class="p1">(<span class="default"><span class="p2">(<span class="default"><font color="Maroon" title="c2">a</font> <a href="cat_4.html#K2" title="CAT_4:func.2">[x]</a> <font color="Maroon" title="c3">b</font></span>)</span> <a href="cat_4.html#K2" title="CAT_4:func.2">[x]</a> <font color="Maroon" title="c4">c</font></span>)</span>,<font color="Maroon" title="c4">c</font>) <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a>  <a href="xboole_0.html#K1" title="XBOOLE_0:func.1">{}</a> 
 
<span class="kw">by</span> <span class="lab"><a class="ref" href="cat_4.html#T19" target="_self" title="CAT_4:th.19">Th21</a></span>;<br/>
<a NAME="E5:53"/><span class="kw">then </span><span class="lab"><font color="Green" title="E31">A5</font></span>: 
 <a href="cat_1.html#K3" title="CAT_1:func.3">Hom</a> (<span class="p1">(<span class="default"><span class="p2">(<span class="default"><font color="Maroon" title="c2">a</font> <a href="cat_4.html#K2" title="CAT_4:func.2">[x]</a> <font color="Maroon" title="c3">b</font></span>)</span> <a href="cat_4.html#K2" title="CAT_4:func.2">[x]</a> <font color="Maroon" title="c4">c</font></span>)</span>,<span class="p1">(<span class="default"><font color="Maroon" title="c3">b</font> <a href="cat_4.html#K2" title="CAT_4:func.2">[x]</a> <font color="Maroon" title="c4">c</font></span>)</span>) <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a>  <a href="xboole_0.html#K1" title="XBOOLE_0:func.1">{}</a> 
 
<span class="kw">by</span> <span class="lab"><a class="txt" href="#E3:53"><span class="lab"><font color="Green" title="E29">A3</font></span></a>, <a class="ref" href="cat_4.html#T23" target="_self" title="CAT_4:th.23">Th25</a></span>;<br/>
<a NAME="E6:53"/><span class="lab"><font color="Green" title="E32">A6</font></span>: 
 <a href="cat_1.html#K3" title="CAT_1:func.3">Hom</a> (<span class="p1">(<span class="default"><font color="Maroon" title="c2">a</font> <a href="cat_4.html#K2" title="CAT_4:func.2">[x]</a> <font color="Maroon" title="c3">b</font></span>)</span>,<font color="Maroon" title="c2">a</font>) <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a>  <a href="xboole_0.html#K1" title="XBOOLE_0:func.1">{}</a> 
 
<span class="kw">by</span> <span class="lab"><a class="ref" href="cat_4.html#T19" target="_self" title="CAT_4:th.19">Th21</a></span>;<br/>
<a NAME="E7:53"/><span class="kw">then </span><span class="lab"><font color="Green" title="E33">A7</font></span>: 
 <a href="cat_1.html#K3" title="CAT_1:func.3">Hom</a> (<span class="p1">(<span class="default"><span class="p2">(<span class="default"><font color="Maroon" title="c2">a</font> <a href="cat_4.html#K2" title="CAT_4:func.2">[x]</a> <font color="Maroon" title="c3">b</font></span>)</span> <a href="cat_4.html#K2" title="CAT_4:func.2">[x]</a> <font color="Maroon" title="c4">c</font></span>)</span>,<font color="Maroon" title="c2">a</font>) <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a>  <a href="xboole_0.html#K1" title="XBOOLE_0:func.1">{}</a> 
 
<span class="kw">by</span> <span class="lab"><a class="txt" href="#E1:53"><span class="lab"><font color="Green" title="E27">A1</font></span></a>, <a class="ref" href="cat_1.html#T24" title="CAT_1:th.24">CAT_1:24</a></span>;<br/>
<a NAME="E8:53"/><span class="lab"><font color="Green" title="E34">A8</font></span>: 
 <a href="cat_1.html#K3" title="CAT_1:func.3">Hom</a> (<span class="p1">(<span class="default"><font color="Maroon" title="c2">a</font> <a href="cat_4.html#K2" title="CAT_4:func.2">[x]</a> <span class="p2">(<span class="default"><font color="Maroon" title="c3">b</font> <a href="cat_4.html#K2" title="CAT_4:func.2">[x]</a> <font color="Maroon" title="c4">c</font></span>)</span></span>)</span>,<span class="p1">(<span class="default"><font color="Maroon" title="c3">b</font> <a href="cat_4.html#K2" title="CAT_4:func.2">[x]</a> <font color="Maroon" title="c4">c</font></span>)</span>) <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a>  <a href="xboole_0.html#K1" title="XBOOLE_0:func.1">{}</a> 
 
<span class="kw">by</span> <span class="lab"><a class="ref" href="cat_4.html#T19" target="_self" title="CAT_4:th.19">Th21</a></span>;<br/>
<a NAME="E9:53"/><span class="lab"><font color="Green" title="E35">A9</font></span>: 
 <a href="cat_1.html#K3" title="CAT_1:func.3">Hom</a> (<span class="p1">(<span class="default"><font color="Maroon" title="c3">b</font> <a href="cat_4.html#K2" title="CAT_4:func.2">[x]</a> <font color="Maroon" title="c4">c</font></span>)</span>,<font color="Maroon" title="c4">c</font>) <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a>  <a href="xboole_0.html#K1" title="XBOOLE_0:func.1">{}</a> 
 
<span class="kw">by</span> <span class="lab"><a class="ref" href="cat_4.html#T19" target="_self" title="CAT_4:th.19">Th21</a></span>;<br/>
<a NAME="E10:53"/><span class="kw">then </span><span class="lab"><font color="Green" title="E36">A10</font></span>: 
 <a href="cat_1.html#K3" title="CAT_1:func.3">Hom</a> (<span class="p1">(<span class="default"><font color="Maroon" title="c2">a</font> <a href="cat_4.html#K2" title="CAT_4:func.2">[x]</a> <span class="p2">(<span class="default"><font color="Maroon" title="c3">b</font> <a href="cat_4.html#K2" title="CAT_4:func.2">[x]</a> <font color="Maroon" title="c4">c</font></span>)</span></span>)</span>,<font color="Maroon" title="c4">c</font>) <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a>  <a href="xboole_0.html#K1" title="XBOOLE_0:func.1">{}</a> 
 
<span class="kw">by</span> <span class="lab"><a class="txt" href="#E8:53"><span class="lab"><font color="Green" title="E34">A8</font></span></a>, <a class="ref" href="cat_1.html#T24" title="CAT_1:th.24">CAT_1:24</a></span>;<br/>
<a NAME="E11:53"/><span class="lab"><font color="Green" title="E37">A11</font></span>: 
 <a href="cat_1.html#K3" title="CAT_1:func.3">Hom</a> (<span class="p1">(<span class="default"><font color="Maroon" title="c3">b</font> <a href="cat_4.html#K2" title="CAT_4:func.2">[x]</a> <font color="Maroon" title="c4">c</font></span>)</span>,<font color="Maroon" title="c3">b</font>) <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a>  <a href="xboole_0.html#K1" title="XBOOLE_0:func.1">{}</a> 
 
<span class="kw">by</span> <span class="lab"><a class="ref" href="cat_4.html#T19" target="_self" title="CAT_4:th.19">Th21</a></span>;<br/>
<a NAME="E12:53"/><span class="kw">then </span><span class="lab"><font color="Green" title="E38">A12</font></span>: 
 <a href="cat_1.html#K3" title="CAT_1:func.3">Hom</a> (<span class="p1">(<span class="default"><font color="Maroon" title="c2">a</font> <a href="cat_4.html#K2" title="CAT_4:func.2">[x]</a> <span class="p2">(<span class="default"><font color="Maroon" title="c3">b</font> <a href="cat_4.html#K2" title="CAT_4:func.2">[x]</a> <font color="Maroon" title="c4">c</font></span>)</span></span>)</span>,<font color="Maroon" title="c3">b</font>) <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a>  <a href="xboole_0.html#K1" title="XBOOLE_0:func.1">{}</a> 
 
<span class="kw">by</span> <span class="lab"><a class="txt" href="#E8:53"><span class="lab"><font color="Green" title="E34">A8</font></span></a>, <a class="ref" href="cat_1.html#T24" title="CAT_1:th.24">CAT_1:24</a></span>;<br/>
<a NAME="E13:53"/><span class="lab"><font color="Green" title="E39">A13</font></span>: 
 <a href="cat_1.html#K3" title="CAT_1:func.3">Hom</a> (<span class="p1">(<span class="default"><font color="Maroon" title="c2">a</font> <a href="cat_4.html#K2" title="CAT_4:func.2">[x]</a> <span class="p2">(<span class="default"><font color="Maroon" title="c3">b</font> <a href="cat_4.html#K2" title="CAT_4:func.2">[x]</a> <font color="Maroon" title="c4">c</font></span>)</span></span>)</span>,<font color="Maroon" title="c2">a</font>) <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a>  <a href="xboole_0.html#K1" title="XBOOLE_0:func.1">{}</a> 
 
<span class="kw">by</span> <span class="lab"><a class="ref" href="cat_4.html#T19" target="_self" title="CAT_4:th.19">Th21</a></span>;<br/>
<a NAME="E14:53"/><span class="kw">then </span><span class="lab"><font color="Green" title="E40">A14</font></span>: 
 <a href="cat_1.html#K3" title="CAT_1:func.3">Hom</a> (<span class="p1">(<span class="default"><font color="Maroon" title="c2">a</font> <a href="cat_4.html#K2" title="CAT_4:func.2">[x]</a> <span class="p2">(<span class="default"><font color="Maroon" title="c3">b</font> <a href="cat_4.html#K2" title="CAT_4:func.2">[x]</a> <font color="Maroon" title="c4">c</font></span>)</span></span>)</span>,<span class="p1">(<span class="default"><font color="Maroon" title="c2">a</font> <a href="cat_4.html#K2" title="CAT_4:func.2">[x]</a> <font color="Maroon" title="c3">b</font></span>)</span>) <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a>  <a href="xboole_0.html#K1" title="XBOOLE_0:func.1">{}</a> 
 
<span class="kw">by</span> <span class="lab"><a class="txt" href="#E12:53"><span class="lab"><font color="Green" title="E38">A12</font></span></a>, <a class="ref" href="cat_4.html#T23" target="_self" title="CAT_4:th.23">Th25</a></span>;<br/>
<a NAME="E15:53"/><span class="lab"><font color="Green" title="E41">A15</font></span>: 
 <a href="cat_1.html#K3" title="CAT_1:func.3">Hom</a> (<span class="p1">(<span class="default"><font color="Maroon" title="c2">a</font> <a href="cat_4.html#K2" title="CAT_4:func.2">[x]</a> <span class="p2">(<span class="default"><font color="Maroon" title="c3">b</font> <a href="cat_4.html#K2" title="CAT_4:func.2">[x]</a> <font color="Maroon" title="c4">c</font></span>)</span></span>)</span>,<span class="p1">(<span class="default"><span class="p2">(<span class="default"><font color="Maroon" title="c2">a</font> <a href="cat_4.html#K2" title="CAT_4:func.2">[x]</a> <font color="Maroon" title="c3">b</font></span>)</span> <a href="cat_4.html#K2" title="CAT_4:func.2">[x]</a> <font color="Maroon" title="c4">c</font></span>)</span>) <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a>  <a href="xboole_0.html#K1" title="XBOOLE_0:func.1">{}</a> 
 
<span class="kw">by</span> <span class="lab"><a class="ref" href="cat_4.html#T36" target="_self" title="CAT_4:th.36">Th38</a></span>;<br/>
<span class="kw">then </span><span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="cat_4.html#K8" title="CAT_4:func.8">pr2</a> (<font color="Maroon" title="c2">a</font>,<font color="Maroon" title="c3">b</font>)</span>)</span> <a href="cat_1.html#K5" title="CAT_1:func.5">*</a> <span class="p2">(<span class="default"><a href="cat_4.html#K7" title="CAT_4:func.7">pr1</a> (<span class="p3">(<span class="default"><font color="Maroon" title="c2">a</font> <a href="cat_4.html#K2" title="CAT_4:func.2">[x]</a> <font color="Maroon" title="c3">b</font></span>)</span>,<font color="Maroon" title="c4">c</font>)</span>)</span></span>)</span> <a href="cat_1.html#K5" title="CAT_1:func.5">*</a> <span class="p1"><a href="cat_4.html#K9" title="CAT_4:func.9">&lt;:</a><span class="default"><span class="p2"><a href="cat_4.html#K9" title="CAT_4:func.9">&lt;:</a><span class="default"><span class="p3">(<span class="default"><a href="cat_4.html#K7" title="CAT_4:func.7">pr1</a> (<font color="Maroon" title="c2">a</font>,<span class="p4">(<span class="default"><font color="Maroon" title="c3">b</font> <a href="cat_4.html#K2" title="CAT_4:func.2">[x]</a> <font color="Maroon" title="c4">c</font></span>)</span>)</span>)</span>,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><a href="cat_4.html#K7" title="CAT_4:func.7">pr1</a> (<font color="Maroon" title="c3">b</font>,<font color="Maroon" title="c4">c</font>)</span>)</span> <a href="cat_1.html#K5" title="CAT_1:func.5">*</a> <span class="p4">(<span class="default"><a href="cat_4.html#K8" title="CAT_4:func.8">pr2</a> (<font color="Maroon" title="c2">a</font>,<span class="p5">(<span class="default"><font color="Maroon" title="c3">b</font> <a href="cat_4.html#K2" title="CAT_4:func.2">[x]</a> <font color="Maroon" title="c4">c</font></span>)</span>)</span>)</span></span>)</span></span><a href="cat_4.html#K9" title="CAT_4:func.9">:&gt;</a></span>,<span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="cat_4.html#K8" title="CAT_4:func.8">pr2</a> (<font color="Maroon" title="c3">b</font>,<font color="Maroon" title="c4">c</font>)</span>)</span> <a href="cat_1.html#K5" title="CAT_1:func.5">*</a> <span class="p3">(<span class="default"><a href="cat_4.html#K8" title="CAT_4:func.8">pr2</a> (<font color="Maroon" title="c2">a</font>,<span class="p4">(<span class="default"><font color="Maroon" title="c3">b</font> <a href="cat_4.html#K2" title="CAT_4:func.2">[x]</a> <font color="Maroon" title="c4">c</font></span>)</span>)</span>)</span></span>)</span></span><a href="cat_4.html#K9" title="CAT_4:func.9">:&gt;</a></span> = 
<span class="p1">(<span class="default"><a href="cat_4.html#K8" title="CAT_4:func.8">pr2</a> (<font color="Maroon" title="c2">a</font>,<font color="Maroon" title="c3">b</font>)</span>)</span> <a href="cat_1.html#K5" title="CAT_1:func.5">*</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="cat_4.html#K7" title="CAT_4:func.7">pr1</a> (<span class="p3">(<span class="default"><font color="Maroon" title="c2">a</font> <a href="cat_4.html#K2" title="CAT_4:func.2">[x]</a> <font color="Maroon" title="c3">b</font></span>)</span>,<font color="Maroon" title="c4">c</font>)</span>)</span> <a href="cat_1.html#K5" title="CAT_1:func.5">*</a> <span class="p2"><a href="cat_4.html#K9" title="CAT_4:func.9">&lt;:</a><span class="default"><span class="p3"><a href="cat_4.html#K9" title="CAT_4:func.9">&lt;:</a><span class="default"><span class="p4">(<span class="default"><a href="cat_4.html#K7" title="CAT_4:func.7">pr1</a> (<font color="Maroon" title="c2">a</font>,<span class="p5">(<span class="default"><font color="Maroon" title="c3">b</font> <a href="cat_4.html#K2" title="CAT_4:func.2">[x]</a> <font color="Maroon" title="c4">c</font></span>)</span>)</span>)</span>,<span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="cat_4.html#K7" title="CAT_4:func.7">pr1</a> (<font color="Maroon" title="c3">b</font>,<font color="Maroon" title="c4">c</font>)</span>)</span> <a href="cat_1.html#K5" title="CAT_1:func.5">*</a> <span class="p5">(<span class="default"><a href="cat_4.html#K8" title="CAT_4:func.8">pr2</a> (<font color="Maroon" title="c2">a</font>,<span class="p0">(<span class="default"><font color="Maroon" title="c3">b</font> <a href="cat_4.html#K2" title="CAT_4:func.2">[x]</a> <font color="Maroon" title="c4">c</font></span>)</span>)</span>)</span></span>)</span></span><a href="cat_4.html#K9" title="CAT_4:func.9">:&gt;</a></span>,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><a href="cat_4.html#K8" title="CAT_4:func.8">pr2</a> (<font color="Maroon" title="c3">b</font>,<font color="Maroon" title="c4">c</font>)</span>)</span> <a href="cat_1.html#K5" title="CAT_1:func.5">*</a> <span class="p4">(<span class="default"><a href="cat_4.html#K8" title="CAT_4:func.8">pr2</a> (<font color="Maroon" title="c2">a</font>,<span class="p5">(<span class="default"><font color="Maroon" title="c3">b</font> <a href="cat_4.html#K2" title="CAT_4:func.2">[x]</a> <font color="Maroon" title="c4">c</font></span>)</span>)</span>)</span></span>)</span></span><a href="cat_4.html#K9" title="CAT_4:func.9">:&gt;</a></span></span>)</span>
<span class="kw">by</span> <span class="lab"><a class="txt" href="#E1:53"><span class="lab"><font color="Green" title="E27">A1</font></span></a>, <a class="txt" href="#E2:53"><span class="lab"><font color="Green" title="E28">A2</font></span></a>, <a class="ref" href="cat_1.html#T25" title="CAT_1:th.25">CAT_1:25</a></span>
<br/>.= 
<span class="p1">(<span class="default"><a href="cat_4.html#K8" title="CAT_4:func.8">pr2</a> (<font color="Maroon" title="c2">a</font>,<font color="Maroon" title="c3">b</font>)</span>)</span> <a href="cat_1.html#K5" title="CAT_1:func.5">*</a> <span class="p1"><a href="cat_4.html#K9" title="CAT_4:func.9">&lt;:</a><span class="default"><span class="p2">(<span class="default"><a href="cat_4.html#K7" title="CAT_4:func.7">pr1</a> (<font color="Maroon" title="c2">a</font>,<span class="p3">(<span class="default"><font color="Maroon" title="c3">b</font> <a href="cat_4.html#K2" title="CAT_4:func.2">[x]</a> <font color="Maroon" title="c4">c</font></span>)</span>)</span>)</span>,<span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="cat_4.html#K7" title="CAT_4:func.7">pr1</a> (<font color="Maroon" title="c3">b</font>,<font color="Maroon" title="c4">c</font>)</span>)</span> <a href="cat_1.html#K5" title="CAT_1:func.5">*</a> <span class="p3">(<span class="default"><a href="cat_4.html#K8" title="CAT_4:func.8">pr2</a> (<font color="Maroon" title="c2">a</font>,<span class="p4">(<span class="default"><font color="Maroon" title="c3">b</font> <a href="cat_4.html#K2" title="CAT_4:func.2">[x]</a> <font color="Maroon" title="c4">c</font></span>)</span>)</span>)</span></span>)</span></span><a href="cat_4.html#K9" title="CAT_4:func.9">:&gt;</a></span>
<span class="kw">by</span> <span class="lab"><a class="txt" href="#E10:53"><span class="lab"><font color="Green" title="E36">A10</font></span></a>, <a class="txt" href="#E14:53"><span class="lab"><font color="Green" title="E40">A14</font></span></a>, <a class="ref" href="cat_4.html#D10" target="_self" title="CAT_4:def.10">Def11</a></span>
<br/>.= 
<span class="p1">(<span class="default"><a href="cat_4.html#K7" title="CAT_4:func.7">pr1</a> (<font color="Maroon" title="c3">b</font>,<font color="Maroon" title="c4">c</font>)</span>)</span> <a href="cat_1.html#K5" title="CAT_1:func.5">*</a> <span class="p1">(<span class="default"><a href="cat_4.html#K8" title="CAT_4:func.8">pr2</a> (<font color="Maroon" title="c2">a</font>,<span class="p2">(<span class="default"><font color="Maroon" title="c3">b</font> <a href="cat_4.html#K2" title="CAT_4:func.2">[x]</a> <font color="Maroon" title="c4">c</font></span>)</span>)</span>)</span>
<span class="kw">by</span> <span class="lab"><a class="txt" href="#E12:53"><span class="lab"><font color="Green" title="E38">A12</font></span></a>, <a class="txt" href="#E13:53"><span class="lab"><font color="Green" title="E39">A13</font></span></a>, <a class="ref" href="cat_4.html#D10" target="_self" title="CAT_4:def.10">Def11</a></span>
;<br/>
<span class="kw">then </span><span class="lab"><font color="Green" title="E42">A16</font></span>: <span class="p1"><a href="cat_4.html#K9" title="CAT_4:func.9">&lt;:</a><span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="cat_4.html#K8" title="CAT_4:func.8">pr2</a> (<font color="Maroon" title="c2">a</font>,<font color="Maroon" title="c3">b</font>)</span>)</span> <a href="cat_1.html#K5" title="CAT_1:func.5">*</a> <span class="p3">(<span class="default"><a href="cat_4.html#K7" title="CAT_4:func.7">pr1</a> (<span class="p4">(<span class="default"><font color="Maroon" title="c2">a</font> <a href="cat_4.html#K2" title="CAT_4:func.2">[x]</a> <font color="Maroon" title="c3">b</font></span>)</span>,<font color="Maroon" title="c4">c</font>)</span>)</span></span>)</span>,<span class="p2">(<span class="default"><a href="cat_4.html#K8" title="CAT_4:func.8">pr2</a> (<span class="p3">(<span class="default"><font color="Maroon" title="c2">a</font> <a href="cat_4.html#K2" title="CAT_4:func.2">[x]</a> <font color="Maroon" title="c3">b</font></span>)</span>,<font color="Maroon" title="c4">c</font>)</span>)</span></span><a href="cat_4.html#K9" title="CAT_4:func.9">:&gt;</a></span> <a href="cat_1.html#K5" title="CAT_1:func.5">*</a> <span class="p1"><a href="cat_4.html#K9" title="CAT_4:func.9">&lt;:</a><span class="default"><span class="p2"><a href="cat_4.html#K9" title="CAT_4:func.9">&lt;:</a><span class="default"><span class="p3">(<span class="default"><a href="cat_4.html#K7" title="CAT_4:func.7">pr1</a> (<font color="Maroon" title="c2">a</font>,<span class="p4">(<span class="default"><font color="Maroon" title="c3">b</font> <a href="cat_4.html#K2" title="CAT_4:func.2">[x]</a> <font color="Maroon" title="c4">c</font></span>)</span>)</span>)</span>,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><a href="cat_4.html#K7" title="CAT_4:func.7">pr1</a> (<font color="Maroon" title="c3">b</font>,<font color="Maroon" title="c4">c</font>)</span>)</span> <a href="cat_1.html#K5" title="CAT_1:func.5">*</a> <span class="p4">(<span class="default"><a href="cat_4.html#K8" title="CAT_4:func.8">pr2</a> (<font color="Maroon" title="c2">a</font>,<span class="p5">(<span class="default"><font color="Maroon" title="c3">b</font> <a href="cat_4.html#K2" title="CAT_4:func.2">[x]</a> <font color="Maroon" title="c4">c</font></span>)</span>)</span>)</span></span>)</span></span><a href="cat_4.html#K9" title="CAT_4:func.9">:&gt;</a></span>,<span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="cat_4.html#K8" title="CAT_4:func.8">pr2</a> (<font color="Maroon" title="c3">b</font>,<font color="Maroon" title="c4">c</font>)</span>)</span> <a href="cat_1.html#K5" title="CAT_1:func.5">*</a> <span class="p3">(<span class="default"><a href="cat_4.html#K8" title="CAT_4:func.8">pr2</a> (<font color="Maroon" title="c2">a</font>,<span class="p4">(<span class="default"><font color="Maroon" title="c3">b</font> <a href="cat_4.html#K2" title="CAT_4:func.2">[x]</a> <font color="Maroon" title="c4">c</font></span>)</span>)</span>)</span></span>)</span></span><a href="cat_4.html#K9" title="CAT_4:func.9">:&gt;</a></span> = 
<span class="p1"><a href="cat_4.html#K9" title="CAT_4:func.9">&lt;:</a><span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="cat_4.html#K7" title="CAT_4:func.7">pr1</a> (<font color="Maroon" title="c3">b</font>,<font color="Maroon" title="c4">c</font>)</span>)</span> <a href="cat_1.html#K5" title="CAT_1:func.5">*</a> <span class="p3">(<span class="default"><a href="cat_4.html#K8" title="CAT_4:func.8">pr2</a> (<font color="Maroon" title="c2">a</font>,<span class="p4">(<span class="default"><font color="Maroon" title="c3">b</font> <a href="cat_4.html#K2" title="CAT_4:func.2">[x]</a> <font color="Maroon" title="c4">c</font></span>)</span>)</span>)</span></span>)</span>,<span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="cat_4.html#K8" title="CAT_4:func.8">pr2</a> (<span class="p4">(<span class="default"><font color="Maroon" title="c2">a</font> <a href="cat_4.html#K2" title="CAT_4:func.2">[x]</a> <font color="Maroon" title="c3">b</font></span>)</span>,<font color="Maroon" title="c4">c</font>)</span>)</span> <a href="cat_1.html#K5" title="CAT_1:func.5">*</a> <span class="p3"><a href="cat_4.html#K9" title="CAT_4:func.9">&lt;:</a><span class="default"><span class="p4"><a href="cat_4.html#K9" title="CAT_4:func.9">&lt;:</a><span class="default"><span class="p5">(<span class="default"><a href="cat_4.html#K7" title="CAT_4:func.7">pr1</a> (<font color="Maroon" title="c2">a</font>,<span class="p0">(<span class="default"><font color="Maroon" title="c3">b</font> <a href="cat_4.html#K2" title="CAT_4:func.2">[x]</a> <font color="Maroon" title="c4">c</font></span>)</span>)</span>)</span>,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="cat_4.html#K7" title="CAT_4:func.7">pr1</a> (<font color="Maroon" title="c3">b</font>,<font color="Maroon" title="c4">c</font>)</span>)</span> <a href="cat_1.html#K5" title="CAT_1:func.5">*</a> <span class="p0">(<span class="default"><a href="cat_4.html#K8" title="CAT_4:func.8">pr2</a> (<font color="Maroon" title="c2">a</font>,<span class="p1">(<span class="default"><font color="Maroon" title="c3">b</font> <a href="cat_4.html#K2" title="CAT_4:func.2">[x]</a> <font color="Maroon" title="c4">c</font></span>)</span>)</span>)</span></span>)</span></span><a href="cat_4.html#K9" title="CAT_4:func.9">:&gt;</a></span>,<span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="cat_4.html#K8" title="CAT_4:func.8">pr2</a> (<font color="Maroon" title="c3">b</font>,<font color="Maroon" title="c4">c</font>)</span>)</span> <a href="cat_1.html#K5" title="CAT_1:func.5">*</a> <span class="p5">(<span class="default"><a href="cat_4.html#K8" title="CAT_4:func.8">pr2</a> (<font color="Maroon" title="c2">a</font>,<span class="p0">(<span class="default"><font color="Maroon" title="c3">b</font> <a href="cat_4.html#K2" title="CAT_4:func.2">[x]</a> <font color="Maroon" title="c4">c</font></span>)</span>)</span>)</span></span>)</span></span><a href="cat_4.html#K9" title="CAT_4:func.9">:&gt;</a></span></span>)</span></span><a href="cat_4.html#K9" title="CAT_4:func.9">:&gt;</a></span>
<span class="kw">by</span> <span class="lab"><a class="txt" href="#E3:53"><span class="lab"><font color="Green" title="E29">A3</font></span></a>, <a class="txt" href="#E4:53"><span class="lab"><font color="Green" title="E30">A4</font></span></a>, <a class="txt" href="#E15:53"><span class="lab"><font color="Green" title="E41">A15</font></span></a>, <a class="ref" href="cat_4.html#T25" target="_self" title="CAT_4:th.25">Th27</a></span>
<br/>.= 
<span class="p1"><a href="cat_4.html#K9" title="CAT_4:func.9">&lt;:</a><span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="cat_4.html#K7" title="CAT_4:func.7">pr1</a> (<font color="Maroon" title="c3">b</font>,<font color="Maroon" title="c4">c</font>)</span>)</span> <a href="cat_1.html#K5" title="CAT_1:func.5">*</a> <span class="p3">(<span class="default"><a href="cat_4.html#K8" title="CAT_4:func.8">pr2</a> (<font color="Maroon" title="c2">a</font>,<span class="p4">(<span class="default"><font color="Maroon" title="c3">b</font> <a href="cat_4.html#K2" title="CAT_4:func.2">[x]</a> <font color="Maroon" title="c4">c</font></span>)</span>)</span>)</span></span>)</span>,<span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="cat_4.html#K8" title="CAT_4:func.8">pr2</a> (<font color="Maroon" title="c3">b</font>,<font color="Maroon" title="c4">c</font>)</span>)</span> <a href="cat_1.html#K5" title="CAT_1:func.5">*</a> <span class="p3">(<span class="default"><a href="cat_4.html#K8" title="CAT_4:func.8">pr2</a> (<font color="Maroon" title="c2">a</font>,<span class="p4">(<span class="default"><font color="Maroon" title="c3">b</font> <a href="cat_4.html#K2" title="CAT_4:func.2">[x]</a> <font color="Maroon" title="c4">c</font></span>)</span>)</span>)</span></span>)</span></span><a href="cat_4.html#K9" title="CAT_4:func.9">:&gt;</a></span>
<span class="kw">by</span> <span class="lab"><a class="txt" href="#E10:53"><span class="lab"><font color="Green" title="E36">A10</font></span></a>, <a class="txt" href="#E14:53"><span class="lab"><font color="Green" title="E40">A14</font></span></a>, <a class="ref" href="cat_4.html#D10" target="_self" title="CAT_4:def.10">Def11</a></span>
<br/>.= 
<span class="p1"><a href="cat_4.html#K9" title="CAT_4:func.9">&lt;:</a><span class="default"><span class="p2">(<span class="default"><a href="cat_4.html#K7" title="CAT_4:func.7">pr1</a> (<font color="Maroon" title="c3">b</font>,<font color="Maroon" title="c4">c</font>)</span>)</span>,<span class="p2">(<span class="default"><a href="cat_4.html#K8" title="CAT_4:func.8">pr2</a> (<font color="Maroon" title="c3">b</font>,<font color="Maroon" title="c4">c</font>)</span>)</span></span><a href="cat_4.html#K9" title="CAT_4:func.9">:&gt;</a></span> <a href="cat_1.html#K5" title="CAT_1:func.5">*</a> <span class="p1">(<span class="default"><a href="cat_4.html#K8" title="CAT_4:func.8">pr2</a> (<font color="Maroon" title="c2">a</font>,<span class="p2">(<span class="default"><font color="Maroon" title="c3">b</font> <a href="cat_4.html#K2" title="CAT_4:func.2">[x]</a> <font color="Maroon" title="c4">c</font></span>)</span>)</span>)</span>
<span class="kw">by</span> <span class="lab"><a class="txt" href="#E11:53"><span class="lab"><font color="Green" title="E37">A11</font></span></a>, <a class="txt" href="#E8:53"><span class="lab"><font color="Green" title="E34">A8</font></span></a>, <a class="txt" href="#E9:53"><span class="lab"><font color="Green" title="E35">A9</font></span></a>, <a class="ref" href="cat_4.html#T25" target="_self" title="CAT_4:th.25">Th27</a></span>
<br/>.= 
<span class="p1">(<span class="default"><a href="cat_1.html#K6" title="CAT_1:func.6">id</a> <span class="p2">(<span class="default"><font color="Maroon" title="c3">b</font> <a href="cat_4.html#K2" title="CAT_4:func.2">[x]</a> <font color="Maroon" title="c4">c</font></span>)</span></span>)</span> <a href="cat_1.html#K5" title="CAT_1:func.5">*</a> <span class="p1">(<span class="default"><a href="cat_4.html#K8" title="CAT_4:func.8">pr2</a> (<font color="Maroon" title="c2">a</font>,<span class="p2">(<span class="default"><font color="Maroon" title="c3">b</font> <a href="cat_4.html#K2" title="CAT_4:func.2">[x]</a> <font color="Maroon" title="c4">c</font></span>)</span>)</span>)</span>
<span class="kw">by</span> <span class="lab"><a class="ref" href="cat_4.html#T24" target="_self" title="CAT_4:th.24">Th26</a></span>
<br/>.= 
 <a href="cat_4.html#K8" title="CAT_4:func.8">pr2</a> (<font color="Maroon" title="c2">a</font>,<span class="p1">(<span class="default"><font color="Maroon" title="c3">b</font> <a href="cat_4.html#K2" title="CAT_4:func.2">[x]</a> <font color="Maroon" title="c4">c</font></span>)</span>)
<span class="kw">by</span> <span class="lab"><a class="txt" href="#E8:53"><span class="lab"><font color="Green" title="E34">A8</font></span></a>, <a class="ref" href="cat_1.html#T28" title="CAT_1:th.28">CAT_1:28</a></span>
;<br/>
<a NAME="E18:53"/><span class="lab"><font color="Green" title="E43">A17</font></span>: 
 <a href="cat_1.html#K3" title="CAT_1:func.3">Hom</a> (<span class="p1">(<span class="default"><span class="p2">(<span class="default"><font color="Maroon" title="c2">a</font> <a href="cat_4.html#K2" title="CAT_4:func.2">[x]</a> <font color="Maroon" title="c3">b</font></span>)</span> <a href="cat_4.html#K2" title="CAT_4:func.2">[x]</a> <font color="Maroon" title="c4">c</font></span>)</span>,<span class="p1">(<span class="default"><font color="Maroon" title="c2">a</font> <a href="cat_4.html#K2" title="CAT_4:func.2">[x]</a> <span class="p2">(<span class="default"><font color="Maroon" title="c3">b</font> <a href="cat_4.html#K2" title="CAT_4:func.2">[x]</a> <font color="Maroon" title="c4">c</font></span>)</span></span>)</span>) <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a>  <a href="xboole_0.html#K1" title="XBOOLE_0:func.1">{}</a> 
 
<span class="kw">by</span> <span class="lab"><a class="ref" href="cat_4.html#T36" target="_self" title="CAT_4:th.36">Th38</a></span>;<br/>
<span class="kw">then </span><span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="cat_4.html#K7" title="CAT_4:func.7">pr1</a> (<font color="Maroon" title="c3">b</font>,<font color="Maroon" title="c4">c</font>)</span>)</span> <a href="cat_1.html#K5" title="CAT_1:func.5">*</a> <span class="p2">(<span class="default"><a href="cat_4.html#K8" title="CAT_4:func.8">pr2</a> (<font color="Maroon" title="c2">a</font>,<span class="p3">(<span class="default"><font color="Maroon" title="c3">b</font> <a href="cat_4.html#K2" title="CAT_4:func.2">[x]</a> <font color="Maroon" title="c4">c</font></span>)</span>)</span>)</span></span>)</span> <a href="cat_1.html#K5" title="CAT_1:func.5">*</a> <span class="p1"><a href="cat_4.html#K9" title="CAT_4:func.9">&lt;:</a><span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="cat_4.html#K7" title="CAT_4:func.7">pr1</a> (<font color="Maroon" title="c2">a</font>,<font color="Maroon" title="c3">b</font>)</span>)</span> <a href="cat_1.html#K5" title="CAT_1:func.5">*</a> <span class="p3">(<span class="default"><a href="cat_4.html#K7" title="CAT_4:func.7">pr1</a> (<span class="p4">(<span class="default"><font color="Maroon" title="c2">a</font> <a href="cat_4.html#K2" title="CAT_4:func.2">[x]</a> <font color="Maroon" title="c3">b</font></span>)</span>,<font color="Maroon" title="c4">c</font>)</span>)</span></span>)</span>,<span class="p2"><a href="cat_4.html#K9" title="CAT_4:func.9">&lt;:</a><span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><a href="cat_4.html#K8" title="CAT_4:func.8">pr2</a> (<font color="Maroon" title="c2">a</font>,<font color="Maroon" title="c3">b</font>)</span>)</span> <a href="cat_1.html#K5" title="CAT_1:func.5">*</a> <span class="p4">(<span class="default"><a href="cat_4.html#K7" title="CAT_4:func.7">pr1</a> (<span class="p5">(<span class="default"><font color="Maroon" title="c2">a</font> <a href="cat_4.html#K2" title="CAT_4:func.2">[x]</a> <font color="Maroon" title="c3">b</font></span>)</span>,<font color="Maroon" title="c4">c</font>)</span>)</span></span>)</span>,<span class="p3">(<span class="default"><a href="cat_4.html#K8" title="CAT_4:func.8">pr2</a> (<span class="p4">(<span class="default"><font color="Maroon" title="c2">a</font> <a href="cat_4.html#K2" title="CAT_4:func.2">[x]</a> <font color="Maroon" title="c3">b</font></span>)</span>,<font color="Maroon" title="c4">c</font>)</span>)</span></span><a href="cat_4.html#K9" title="CAT_4:func.9">:&gt;</a></span></span><a href="cat_4.html#K9" title="CAT_4:func.9">:&gt;</a></span> = 
<span class="p1">(<span class="default"><a href="cat_4.html#K7" title="CAT_4:func.7">pr1</a> (<font color="Maroon" title="c3">b</font>,<font color="Maroon" title="c4">c</font>)</span>)</span> <a href="cat_1.html#K5" title="CAT_1:func.5">*</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="cat_4.html#K8" title="CAT_4:func.8">pr2</a> (<font color="Maroon" title="c2">a</font>,<span class="p3">(<span class="default"><font color="Maroon" title="c3">b</font> <a href="cat_4.html#K2" title="CAT_4:func.2">[x]</a> <font color="Maroon" title="c4">c</font></span>)</span>)</span>)</span> <a href="cat_1.html#K5" title="CAT_1:func.5">*</a> <span class="p2"><a href="cat_4.html#K9" title="CAT_4:func.9">&lt;:</a><span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><a href="cat_4.html#K7" title="CAT_4:func.7">pr1</a> (<font color="Maroon" title="c2">a</font>,<font color="Maroon" title="c3">b</font>)</span>)</span> <a href="cat_1.html#K5" title="CAT_1:func.5">*</a> <span class="p4">(<span class="default"><a href="cat_4.html#K7" title="CAT_4:func.7">pr1</a> (<span class="p5">(<span class="default"><font color="Maroon" title="c2">a</font> <a href="cat_4.html#K2" title="CAT_4:func.2">[x]</a> <font color="Maroon" title="c3">b</font></span>)</span>,<font color="Maroon" title="c4">c</font>)</span>)</span></span>)</span>,<span class="p3"><a href="cat_4.html#K9" title="CAT_4:func.9">&lt;:</a><span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="cat_4.html#K8" title="CAT_4:func.8">pr2</a> (<font color="Maroon" title="c2">a</font>,<font color="Maroon" title="c3">b</font>)</span>)</span> <a href="cat_1.html#K5" title="CAT_1:func.5">*</a> <span class="p5">(<span class="default"><a href="cat_4.html#K7" title="CAT_4:func.7">pr1</a> (<span class="p0">(<span class="default"><font color="Maroon" title="c2">a</font> <a href="cat_4.html#K2" title="CAT_4:func.2">[x]</a> <font color="Maroon" title="c3">b</font></span>)</span>,<font color="Maroon" title="c4">c</font>)</span>)</span></span>)</span>,<span class="p4">(<span class="default"><a href="cat_4.html#K8" title="CAT_4:func.8">pr2</a> (<span class="p5">(<span class="default"><font color="Maroon" title="c2">a</font> <a href="cat_4.html#K2" title="CAT_4:func.2">[x]</a> <font color="Maroon" title="c3">b</font></span>)</span>,<font color="Maroon" title="c4">c</font>)</span>)</span></span><a href="cat_4.html#K9" title="CAT_4:func.9">:&gt;</a></span></span><a href="cat_4.html#K9" title="CAT_4:func.9">:&gt;</a></span></span>)</span>
<span class="kw">by</span> <span class="lab"><a class="txt" href="#E11:53"><span class="lab"><font color="Green" title="E37">A11</font></span></a>, <a class="txt" href="#E8:53"><span class="lab"><font color="Green" title="E34">A8</font></span></a>, <a class="ref" href="cat_1.html#T25" title="CAT_1:th.25">CAT_1:25</a></span>
<br/>.= 
<span class="p1">(<span class="default"><a href="cat_4.html#K7" title="CAT_4:func.7">pr1</a> (<font color="Maroon" title="c3">b</font>,<font color="Maroon" title="c4">c</font>)</span>)</span> <a href="cat_1.html#K5" title="CAT_1:func.5">*</a> <span class="p1"><a href="cat_4.html#K9" title="CAT_4:func.9">&lt;:</a><span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="cat_4.html#K8" title="CAT_4:func.8">pr2</a> (<font color="Maroon" title="c2">a</font>,<font color="Maroon" title="c3">b</font>)</span>)</span> <a href="cat_1.html#K5" title="CAT_1:func.5">*</a> <span class="p3">(<span class="default"><a href="cat_4.html#K7" title="CAT_4:func.7">pr1</a> (<span class="p4">(<span class="default"><font color="Maroon" title="c2">a</font> <a href="cat_4.html#K2" title="CAT_4:func.2">[x]</a> <font color="Maroon" title="c3">b</font></span>)</span>,<font color="Maroon" title="c4">c</font>)</span>)</span></span>)</span>,<span class="p2">(<span class="default"><a href="cat_4.html#K8" title="CAT_4:func.8">pr2</a> (<span class="p3">(<span class="default"><font color="Maroon" title="c2">a</font> <a href="cat_4.html#K2" title="CAT_4:func.2">[x]</a> <font color="Maroon" title="c3">b</font></span>)</span>,<font color="Maroon" title="c4">c</font>)</span>)</span></span><a href="cat_4.html#K9" title="CAT_4:func.9">:&gt;</a></span>
<span class="kw">by</span> <span class="lab"><a class="txt" href="#E7:53"><span class="lab"><font color="Green" title="E33">A7</font></span></a>, <a class="txt" href="#E5:53"><span class="lab"><font color="Green" title="E31">A5</font></span></a>, <a class="ref" href="cat_4.html#D10" target="_self" title="CAT_4:def.10">Def11</a></span>
<br/>.= 
<span class="p1">(<span class="default"><a href="cat_4.html#K8" title="CAT_4:func.8">pr2</a> (<font color="Maroon" title="c2">a</font>,<font color="Maroon" title="c3">b</font>)</span>)</span> <a href="cat_1.html#K5" title="CAT_1:func.5">*</a> <span class="p1">(<span class="default"><a href="cat_4.html#K7" title="CAT_4:func.7">pr1</a> (<span class="p2">(<span class="default"><font color="Maroon" title="c2">a</font> <a href="cat_4.html#K2" title="CAT_4:func.2">[x]</a> <font color="Maroon" title="c3">b</font></span>)</span>,<font color="Maroon" title="c4">c</font>)</span>)</span>
<span class="kw">by</span> <span class="lab"><a class="txt" href="#E3:53"><span class="lab"><font color="Green" title="E29">A3</font></span></a>, <a class="txt" href="#E4:53"><span class="lab"><font color="Green" title="E30">A4</font></span></a>, <a class="ref" href="cat_4.html#D10" target="_self" title="CAT_4:def.10">Def11</a></span>
;<br/>
<span class="kw">then </span><span class="lab"><font color="Green" title="E44">A18</font></span>: <span class="p1"><a href="cat_4.html#K9" title="CAT_4:func.9">&lt;:</a><span class="default"><span class="p2">(<span class="default"><a href="cat_4.html#K7" title="CAT_4:func.7">pr1</a> (<font color="Maroon" title="c2">a</font>,<span class="p3">(<span class="default"><font color="Maroon" title="c3">b</font> <a href="cat_4.html#K2" title="CAT_4:func.2">[x]</a> <font color="Maroon" title="c4">c</font></span>)</span>)</span>)</span>,<span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="cat_4.html#K7" title="CAT_4:func.7">pr1</a> (<font color="Maroon" title="c3">b</font>,<font color="Maroon" title="c4">c</font>)</span>)</span> <a href="cat_1.html#K5" title="CAT_1:func.5">*</a> <span class="p3">(<span class="default"><a href="cat_4.html#K8" title="CAT_4:func.8">pr2</a> (<font color="Maroon" title="c2">a</font>,<span class="p4">(<span class="default"><font color="Maroon" title="c3">b</font> <a href="cat_4.html#K2" title="CAT_4:func.2">[x]</a> <font color="Maroon" title="c4">c</font></span>)</span>)</span>)</span></span>)</span></span><a href="cat_4.html#K9" title="CAT_4:func.9">:&gt;</a></span> <a href="cat_1.html#K5" title="CAT_1:func.5">*</a> <span class="p1"><a href="cat_4.html#K9" title="CAT_4:func.9">&lt;:</a><span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="cat_4.html#K7" title="CAT_4:func.7">pr1</a> (<font color="Maroon" title="c2">a</font>,<font color="Maroon" title="c3">b</font>)</span>)</span> <a href="cat_1.html#K5" title="CAT_1:func.5">*</a> <span class="p3">(<span class="default"><a href="cat_4.html#K7" title="CAT_4:func.7">pr1</a> (<span class="p4">(<span class="default"><font color="Maroon" title="c2">a</font> <a href="cat_4.html#K2" title="CAT_4:func.2">[x]</a> <font color="Maroon" title="c3">b</font></span>)</span>,<font color="Maroon" title="c4">c</font>)</span>)</span></span>)</span>,<span class="p2"><a href="cat_4.html#K9" title="CAT_4:func.9">&lt;:</a><span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><a href="cat_4.html#K8" title="CAT_4:func.8">pr2</a> (<font color="Maroon" title="c2">a</font>,<font color="Maroon" title="c3">b</font>)</span>)</span> <a href="cat_1.html#K5" title="CAT_1:func.5">*</a> <span class="p4">(<span class="default"><a href="cat_4.html#K7" title="CAT_4:func.7">pr1</a> (<span class="p5">(<span class="default"><font color="Maroon" title="c2">a</font> <a href="cat_4.html#K2" title="CAT_4:func.2">[x]</a> <font color="Maroon" title="c3">b</font></span>)</span>,<font color="Maroon" title="c4">c</font>)</span>)</span></span>)</span>,<span class="p3">(<span class="default"><a href="cat_4.html#K8" title="CAT_4:func.8">pr2</a> (<span class="p4">(<span class="default"><font color="Maroon" title="c2">a</font> <a href="cat_4.html#K2" title="CAT_4:func.2">[x]</a> <font color="Maroon" title="c3">b</font></span>)</span>,<font color="Maroon" title="c4">c</font>)</span>)</span></span><a href="cat_4.html#K9" title="CAT_4:func.9">:&gt;</a></span></span><a href="cat_4.html#K9" title="CAT_4:func.9">:&gt;</a></span> = 
<span class="p1"><a href="cat_4.html#K9" title="CAT_4:func.9">&lt;:</a><span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="cat_4.html#K7" title="CAT_4:func.7">pr1</a> (<font color="Maroon" title="c2">a</font>,<span class="p4">(<span class="default"><font color="Maroon" title="c3">b</font> <a href="cat_4.html#K2" title="CAT_4:func.2">[x]</a> <font color="Maroon" title="c4">c</font></span>)</span>)</span>)</span> <a href="cat_1.html#K5" title="CAT_1:func.5">*</a> <span class="p3"><a href="cat_4.html#K9" title="CAT_4:func.9">&lt;:</a><span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="cat_4.html#K7" title="CAT_4:func.7">pr1</a> (<font color="Maroon" title="c2">a</font>,<font color="Maroon" title="c3">b</font>)</span>)</span> <a href="cat_1.html#K5" title="CAT_1:func.5">*</a> <span class="p5">(<span class="default"><a href="cat_4.html#K7" title="CAT_4:func.7">pr1</a> (<span class="p0">(<span class="default"><font color="Maroon" title="c2">a</font> <a href="cat_4.html#K2" title="CAT_4:func.2">[x]</a> <font color="Maroon" title="c3">b</font></span>)</span>,<font color="Maroon" title="c4">c</font>)</span>)</span></span>)</span>,<span class="p4"><a href="cat_4.html#K9" title="CAT_4:func.9">&lt;:</a><span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="cat_4.html#K8" title="CAT_4:func.8">pr2</a> (<font color="Maroon" title="c2">a</font>,<font color="Maroon" title="c3">b</font>)</span>)</span> <a href="cat_1.html#K5" title="CAT_1:func.5">*</a> <span class="p0">(<span class="default"><a href="cat_4.html#K7" title="CAT_4:func.7">pr1</a> (<span class="p1">(<span class="default"><font color="Maroon" title="c2">a</font> <a href="cat_4.html#K2" title="CAT_4:func.2">[x]</a> <font color="Maroon" title="c3">b</font></span>)</span>,<font color="Maroon" title="c4">c</font>)</span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="cat_4.html#K8" title="CAT_4:func.8">pr2</a> (<span class="p0">(<span class="default"><font color="Maroon" title="c2">a</font> <a href="cat_4.html#K2" title="CAT_4:func.2">[x]</a> <font color="Maroon" title="c3">b</font></span>)</span>,<font color="Maroon" title="c4">c</font>)</span>)</span></span><a href="cat_4.html#K9" title="CAT_4:func.9">:&gt;</a></span></span><a href="cat_4.html#K9" title="CAT_4:func.9">:&gt;</a></span></span>)</span>,<span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="cat_4.html#K8" title="CAT_4:func.8">pr2</a> (<font color="Maroon" title="c2">a</font>,<font color="Maroon" title="c3">b</font>)</span>)</span> <a href="cat_1.html#K5" title="CAT_1:func.5">*</a> <span class="p3">(<span class="default"><a href="cat_4.html#K7" title="CAT_4:func.7">pr1</a> (<span class="p4">(<span class="default"><font color="Maroon" title="c2">a</font> <a href="cat_4.html#K2" title="CAT_4:func.2">[x]</a> <font color="Maroon" title="c3">b</font></span>)</span>,<font color="Maroon" title="c4">c</font>)</span>)</span></span>)</span></span><a href="cat_4.html#K9" title="CAT_4:func.9">:&gt;</a></span>
<span class="kw">by</span> <span class="lab"><a class="txt" href="#E18:53"><span class="lab"><font color="Green" title="E43">A17</font></span></a>, <a class="txt" href="#E12:53"><span class="lab"><font color="Green" title="E38">A12</font></span></a>, <a class="txt" href="#E13:53"><span class="lab"><font color="Green" title="E39">A13</font></span></a>, <a class="ref" href="cat_4.html#T25" target="_self" title="CAT_4:th.25">Th27</a></span>
<br/>.= 
<span class="p1"><a href="cat_4.html#K9" title="CAT_4:func.9">&lt;:</a><span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="cat_4.html#K7" title="CAT_4:func.7">pr1</a> (<font color="Maroon" title="c2">a</font>,<font color="Maroon" title="c3">b</font>)</span>)</span> <a href="cat_1.html#K5" title="CAT_1:func.5">*</a> <span class="p3">(<span class="default"><a href="cat_4.html#K7" title="CAT_4:func.7">pr1</a> (<span class="p4">(<span class="default"><font color="Maroon" title="c2">a</font> <a href="cat_4.html#K2" title="CAT_4:func.2">[x]</a> <font color="Maroon" title="c3">b</font></span>)</span>,<font color="Maroon" title="c4">c</font>)</span>)</span></span>)</span>,<span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="cat_4.html#K8" title="CAT_4:func.8">pr2</a> (<font color="Maroon" title="c2">a</font>,<font color="Maroon" title="c3">b</font>)</span>)</span> <a href="cat_1.html#K5" title="CAT_1:func.5">*</a> <span class="p3">(<span class="default"><a href="cat_4.html#K7" title="CAT_4:func.7">pr1</a> (<span class="p4">(<span class="default"><font color="Maroon" title="c2">a</font> <a href="cat_4.html#K2" title="CAT_4:func.2">[x]</a> <font color="Maroon" title="c3">b</font></span>)</span>,<font color="Maroon" title="c4">c</font>)</span>)</span></span>)</span></span><a href="cat_4.html#K9" title="CAT_4:func.9">:&gt;</a></span>
<span class="kw">by</span> <span class="lab"><a class="txt" href="#E7:53"><span class="lab"><font color="Green" title="E33">A7</font></span></a>, <a class="txt" href="#E5:53"><span class="lab"><font color="Green" title="E31">A5</font></span></a>, <a class="ref" href="cat_4.html#D10" target="_self" title="CAT_4:def.10">Def11</a></span>
<br/>.= 
<span class="p1"><a href="cat_4.html#K9" title="CAT_4:func.9">&lt;:</a><span class="default"><span class="p2">(<span class="default"><a href="cat_4.html#K7" title="CAT_4:func.7">pr1</a> (<font color="Maroon" title="c2">a</font>,<font color="Maroon" title="c3">b</font>)</span>)</span>,<span class="p2">(<span class="default"><a href="cat_4.html#K8" title="CAT_4:func.8">pr2</a> (<font color="Maroon" title="c2">a</font>,<font color="Maroon" title="c3">b</font>)</span>)</span></span><a href="cat_4.html#K9" title="CAT_4:func.9">:&gt;</a></span> <a href="cat_1.html#K5" title="CAT_1:func.5">*</a> <span class="p1">(<span class="default"><a href="cat_4.html#K7" title="CAT_4:func.7">pr1</a> (<span class="p2">(<span class="default"><font color="Maroon" title="c2">a</font> <a href="cat_4.html#K2" title="CAT_4:func.2">[x]</a> <font color="Maroon" title="c3">b</font></span>)</span>,<font color="Maroon" title="c4">c</font>)</span>)</span>
<span class="kw">by</span> <span class="lab"><a class="txt" href="#E6:53"><span class="lab"><font color="Green" title="E32">A6</font></span></a>, <a class="txt" href="#E1:53"><span class="lab"><font color="Green" title="E27">A1</font></span></a>, <a class="txt" href="#E2:53"><span class="lab"><font color="Green" title="E28">A2</font></span></a>, <a class="ref" href="cat_4.html#T25" target="_self" title="CAT_4:th.25">Th27</a></span>
<br/>.= 
<span class="p1">(<span class="default"><a href="cat_1.html#K6" title="CAT_1:func.6">id</a> <span class="p2">(<span class="default"><font color="Maroon" title="c2">a</font> <a href="cat_4.html#K2" title="CAT_4:func.2">[x]</a> <font color="Maroon" title="c3">b</font></span>)</span></span>)</span> <a href="cat_1.html#K5" title="CAT_1:func.5">*</a> <span class="p1">(<span class="default"><a href="cat_4.html#K7" title="CAT_4:func.7">pr1</a> (<span class="p2">(<span class="default"><font color="Maroon" title="c2">a</font> <a href="cat_4.html#K2" title="CAT_4:func.2">[x]</a> <font color="Maroon" title="c3">b</font></span>)</span>,<font color="Maroon" title="c4">c</font>)</span>)</span>
<span class="kw">by</span> <span class="lab"><a class="ref" href="cat_4.html#T24" target="_self" title="CAT_4:th.24">Th26</a></span>
<br/>.= 
 <a href="cat_4.html#K7" title="CAT_4:func.7">pr1</a> (<span class="p1">(<span class="default"><font color="Maroon" title="c2">a</font> <a href="cat_4.html#K2" title="CAT_4:func.2">[x]</a> <font color="Maroon" title="c3">b</font></span>)</span>,<font color="Maroon" title="c4">c</font>)
<span class="kw">by</span> <span class="lab"><a class="txt" href="#E1:53"><span class="lab"><font color="Green" title="E27">A1</font></span></a>, <a class="ref" href="cat_1.html#T28" title="CAT_1:th.28">CAT_1:28</a></span>
;<br/>
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="cat_4.html#K7" title="CAT_4:func.7">pr1</a> (<font color="Maroon" title="c2">a</font>,<font color="Maroon" title="c3">b</font>)</span>)</span> <a href="cat_1.html#K5" title="CAT_1:func.5">*</a> <span class="p2">(<span class="default"><a href="cat_4.html#K7" title="CAT_4:func.7">pr1</a> (<span class="p3">(<span class="default"><font color="Maroon" title="c2">a</font> <a href="cat_4.html#K2" title="CAT_4:func.2">[x]</a> <font color="Maroon" title="c3">b</font></span>)</span>,<font color="Maroon" title="c4">c</font>)</span>)</span></span>)</span> <a href="cat_1.html#K5" title="CAT_1:func.5">*</a> <span class="p1"><a href="cat_4.html#K9" title="CAT_4:func.9">&lt;:</a><span class="default"><span class="p2"><a href="cat_4.html#K9" title="CAT_4:func.9">&lt;:</a><span class="default"><span class="p3">(<span class="default"><a href="cat_4.html#K7" title="CAT_4:func.7">pr1</a> (<font color="Maroon" title="c2">a</font>,<span class="p4">(<span class="default"><font color="Maroon" title="c3">b</font> <a href="cat_4.html#K2" title="CAT_4:func.2">[x]</a> <font color="Maroon" title="c4">c</font></span>)</span>)</span>)</span>,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><a href="cat_4.html#K7" title="CAT_4:func.7">pr1</a> (<font color="Maroon" title="c3">b</font>,<font color="Maroon" title="c4">c</font>)</span>)</span> <a href="cat_1.html#K5" title="CAT_1:func.5">*</a> <span class="p4">(<span class="default"><a href="cat_4.html#K8" title="CAT_4:func.8">pr2</a> (<font color="Maroon" title="c2">a</font>,<span class="p5">(<span class="default"><font color="Maroon" title="c3">b</font> <a href="cat_4.html#K2" title="CAT_4:func.2">[x]</a> <font color="Maroon" title="c4">c</font></span>)</span>)</span>)</span></span>)</span></span><a href="cat_4.html#K9" title="CAT_4:func.9">:&gt;</a></span>,<span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="cat_4.html#K8" title="CAT_4:func.8">pr2</a> (<font color="Maroon" title="c3">b</font>,<font color="Maroon" title="c4">c</font>)</span>)</span> <a href="cat_1.html#K5" title="CAT_1:func.5">*</a> <span class="p3">(<span class="default"><a href="cat_4.html#K8" title="CAT_4:func.8">pr2</a> (<font color="Maroon" title="c2">a</font>,<span class="p4">(<span class="default"><font color="Maroon" title="c3">b</font> <a href="cat_4.html#K2" title="CAT_4:func.2">[x]</a> <font color="Maroon" title="c4">c</font></span>)</span>)</span>)</span></span>)</span></span><a href="cat_4.html#K9" title="CAT_4:func.9">:&gt;</a></span> = 
<span class="p1">(<span class="default"><a href="cat_4.html#K7" title="CAT_4:func.7">pr1</a> (<font color="Maroon" title="c2">a</font>,<font color="Maroon" title="c3">b</font>)</span>)</span> <a href="cat_1.html#K5" title="CAT_1:func.5">*</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="cat_4.html#K7" title="CAT_4:func.7">pr1</a> (<span class="p3">(<span class="default"><font color="Maroon" title="c2">a</font> <a href="cat_4.html#K2" title="CAT_4:func.2">[x]</a> <font color="Maroon" title="c3">b</font></span>)</span>,<font color="Maroon" title="c4">c</font>)</span>)</span> <a href="cat_1.html#K5" title="CAT_1:func.5">*</a> <span class="p2"><a href="cat_4.html#K9" title="CAT_4:func.9">&lt;:</a><span class="default"><span class="p3"><a href="cat_4.html#K9" title="CAT_4:func.9">&lt;:</a><span class="default"><span class="p4">(<span class="default"><a href="cat_4.html#K7" title="CAT_4:func.7">pr1</a> (<font color="Maroon" title="c2">a</font>,<span class="p5">(<span class="default"><font color="Maroon" title="c3">b</font> <a href="cat_4.html#K2" title="CAT_4:func.2">[x]</a> <font color="Maroon" title="c4">c</font></span>)</span>)</span>)</span>,<span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="cat_4.html#K7" title="CAT_4:func.7">pr1</a> (<font color="Maroon" title="c3">b</font>,<font color="Maroon" title="c4">c</font>)</span>)</span> <a href="cat_1.html#K5" title="CAT_1:func.5">*</a> <span class="p5">(<span class="default"><a href="cat_4.html#K8" title="CAT_4:func.8">pr2</a> (<font color="Maroon" title="c2">a</font>,<span class="p0">(<span class="default"><font color="Maroon" title="c3">b</font> <a href="cat_4.html#K2" title="CAT_4:func.2">[x]</a> <font color="Maroon" title="c4">c</font></span>)</span>)</span>)</span></span>)</span></span><a href="cat_4.html#K9" title="CAT_4:func.9">:&gt;</a></span>,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><a href="cat_4.html#K8" title="CAT_4:func.8">pr2</a> (<font color="Maroon" title="c3">b</font>,<font color="Maroon" title="c4">c</font>)</span>)</span> <a href="cat_1.html#K5" title="CAT_1:func.5">*</a> <span class="p4">(<span class="default"><a href="cat_4.html#K8" title="CAT_4:func.8">pr2</a> (<font color="Maroon" title="c2">a</font>,<span class="p5">(<span class="default"><font color="Maroon" title="c3">b</font> <a href="cat_4.html#K2" title="CAT_4:func.2">[x]</a> <font color="Maroon" title="c4">c</font></span>)</span>)</span>)</span></span>)</span></span><a href="cat_4.html#K9" title="CAT_4:func.9">:&gt;</a></span></span>)</span>
<span class="kw">by</span> <span class="lab"><a class="txt" href="#E6:53"><span class="lab"><font color="Green" title="E32">A6</font></span></a>, <a class="txt" href="#E1:53"><span class="lab"><font color="Green" title="E27">A1</font></span></a>, <a class="txt" href="#E15:53"><span class="lab"><font color="Green" title="E41">A15</font></span></a>, <a class="ref" href="cat_1.html#T25" title="CAT_1:th.25">CAT_1:25</a></span>
<br/>.= 
<span class="p1">(<span class="default"><a href="cat_4.html#K7" title="CAT_4:func.7">pr1</a> (<font color="Maroon" title="c2">a</font>,<font color="Maroon" title="c3">b</font>)</span>)</span> <a href="cat_1.html#K5" title="CAT_1:func.5">*</a> <span class="p1"><a href="cat_4.html#K9" title="CAT_4:func.9">&lt;:</a><span class="default"><span class="p2">(<span class="default"><a href="cat_4.html#K7" title="CAT_4:func.7">pr1</a> (<font color="Maroon" title="c2">a</font>,<span class="p3">(<span class="default"><font color="Maroon" title="c3">b</font> <a href="cat_4.html#K2" title="CAT_4:func.2">[x]</a> <font color="Maroon" title="c4">c</font></span>)</span>)</span>)</span>,<span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="cat_4.html#K7" title="CAT_4:func.7">pr1</a> (<font color="Maroon" title="c3">b</font>,<font color="Maroon" title="c4">c</font>)</span>)</span> <a href="cat_1.html#K5" title="CAT_1:func.5">*</a> <span class="p3">(<span class="default"><a href="cat_4.html#K8" title="CAT_4:func.8">pr2</a> (<font color="Maroon" title="c2">a</font>,<span class="p4">(<span class="default"><font color="Maroon" title="c3">b</font> <a href="cat_4.html#K2" title="CAT_4:func.2">[x]</a> <font color="Maroon" title="c4">c</font></span>)</span>)</span>)</span></span>)</span></span><a href="cat_4.html#K9" title="CAT_4:func.9">:&gt;</a></span>
<span class="kw">by</span> <span class="lab"><a class="txt" href="#E10:53"><span class="lab"><font color="Green" title="E36">A10</font></span></a>, <a class="txt" href="#E14:53"><span class="lab"><font color="Green" title="E40">A14</font></span></a>, <a class="ref" href="cat_4.html#D10" target="_self" title="CAT_4:def.10">Def11</a></span>
<br/>.= 
 <a href="cat_4.html#K7" title="CAT_4:func.7">pr1</a> (<font color="Maroon" title="c2">a</font>,<span class="p1">(<span class="default"><font color="Maroon" title="c3">b</font> <a href="cat_4.html#K2" title="CAT_4:func.2">[x]</a> <font color="Maroon" title="c4">c</font></span>)</span>)
<span class="kw">by</span> <span class="lab"><a class="txt" href="#E12:53"><span class="lab"><font color="Green" title="E38">A12</font></span></a>, <a class="txt" href="#E13:53"><span class="lab"><font color="Green" title="E39">A13</font></span></a>, <a class="ref" href="cat_4.html#D10" target="_self" title="CAT_4:def.10">Def11</a></span>
;<br/>
<span class="kw">hence </span><span class="p1">(<span class="default"><a href="cat_4.html#K16" title="CAT_4:func.16">Alpha</a> (<font color="Maroon" title="c2">a</font>,<font color="Maroon" title="c3">b</font>,<font color="Maroon" title="c4">c</font>)</span>)</span> <a href="cat_1.html#K5" title="CAT_1:func.5">*</a> <span class="p1">(<span class="default"><a href="cat_4.html#K17" title="CAT_4:func.17">Alpha'</a> (<font color="Maroon" title="c2">a</font>,<font color="Maroon" title="c3">b</font>,<font color="Maroon" title="c4">c</font>)</span>)</span> = 
<span class="p1"><a href="cat_4.html#K9" title="CAT_4:func.9">&lt;:</a><span class="default"><span class="p2">(<span class="default"><a href="cat_4.html#K7" title="CAT_4:func.7">pr1</a> (<font color="Maroon" title="c2">a</font>,<span class="p3">(<span class="default"><font color="Maroon" title="c3">b</font> <a href="cat_4.html#K2" title="CAT_4:func.2">[x]</a> <font color="Maroon" title="c4">c</font></span>)</span>)</span>)</span>,<span class="p2">(<span class="default"><a href="cat_4.html#K8" title="CAT_4:func.8">pr2</a> (<font color="Maroon" title="c2">a</font>,<span class="p3">(<span class="default"><font color="Maroon" title="c3">b</font> <a href="cat_4.html#K2" title="CAT_4:func.2">[x]</a> <font color="Maroon" title="c4">c</font></span>)</span>)</span>)</span></span><a href="cat_4.html#K9" title="CAT_4:func.9">:&gt;</a></span>
<span class="kw">by</span> <span class="lab"><a class="txt" href="#E7:53"><span class="lab"><font color="Green" title="E33">A7</font></span></a>, <a class="txt" href="#E5:53"><span class="lab"><font color="Green" title="E31">A5</font></span></a>, <a class="txt" href="#E15:53"><span class="lab"><font color="Green" title="E41">A15</font></span></a>, <a class="txt" href="#E17:53"><span class="lab"><font color="Green" title="E42">A16</font></span></a>, <a class="ref" href="cat_4.html#T25" target="_self" title="CAT_4:th.25">Th27</a></span>
<br/>.= 
 <a href="cat_1.html#K6" title="CAT_1:func.6">id</a> <span class="p1">(<span class="default"><font color="Maroon" title="c2">a</font> <a href="cat_4.html#K2" title="CAT_4:func.2">[x]</a> <span class="p2">(<span class="default"><font color="Maroon" title="c3">b</font> <a href="cat_4.html#K2" title="CAT_4:func.2">[x]</a> <font color="Maroon" title="c4">c</font></span>)</span></span>)</span>
<span class="kw">by</span> <span class="lab"><a class="ref" href="cat_4.html#T24" target="_self" title="CAT_4:th.24">Th26</a></span>
;<br/> <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide"> <span class="p1">(<span class="default"><a href="cat_4.html#K17" title="CAT_4:func.17">Alpha'</a> (<font color="Maroon" title="c2">a</font>,<font color="Maroon" title="c3">b</font>,<font color="Maroon" title="c4">c</font>)</span>)</span> <a href="cat_1.html#K5" title="CAT_1:func.5">*</a> <span class="p1">(<span class="default"><a href="cat_4.html#K16" title="CAT_4:func.16">Alpha</a> (<font color="Maroon" title="c2">a</font>,<font color="Maroon" title="c3">b</font>,<font color="Maroon" title="c4">c</font>)</span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="cat_1.html#K6" title="CAT_1:func.6">id</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><font color="Maroon" title="c2">a</font> <a href="cat_4.html#K2" title="CAT_4:func.2">[x]</a> <font color="Maroon" title="c3">b</font></span>)</span> <a href="cat_4.html#K2" title="CAT_4:func.2">[x]</a> <font color="Maroon" title="c4">c</font></span>)</span></span><br/>

<span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="cat_4.html#K8" title="CAT_4:func.8">pr2</a> (<font color="Maroon" title="c3">b</font>,<font color="Maroon" title="c4">c</font>)</span>)</span> <a href="cat_1.html#K5" title="CAT_1:func.5">*</a> <span class="p2">(<span class="default"><a href="cat_4.html#K8" title="CAT_4:func.8">pr2</a> (<font color="Maroon" title="c2">a</font>,<span class="p3">(<span class="default"><font color="Maroon" title="c3">b</font> <a href="cat_4.html#K2" title="CAT_4:func.2">[x]</a> <font color="Maroon" title="c4">c</font></span>)</span>)</span>)</span></span>)</span> <a href="cat_1.html#K5" title="CAT_1:func.5">*</a> <span class="p1"><a href="cat_4.html#K9" title="CAT_4:func.9">&lt;:</a><span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="cat_4.html#K7" title="CAT_4:func.7">pr1</a> (<font color="Maroon" title="c2">a</font>,<font color="Maroon" title="c3">b</font>)</span>)</span> <a href="cat_1.html#K5" title="CAT_1:func.5">*</a> <span class="p3">(<span class="default"><a href="cat_4.html#K7" title="CAT_4:func.7">pr1</a> (<span class="p4">(<span class="default"><font color="Maroon" title="c2">a</font> <a href="cat_4.html#K2" title="CAT_4:func.2">[x]</a> <font color="Maroon" title="c3">b</font></span>)</span>,<font color="Maroon" title="c4">c</font>)</span>)</span></span>)</span>,<span class="p2"><a href="cat_4.html#K9" title="CAT_4:func.9">&lt;:</a><span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><a href="cat_4.html#K8" title="CAT_4:func.8">pr2</a> (<font color="Maroon" title="c2">a</font>,<font color="Maroon" title="c3">b</font>)</span>)</span> <a href="cat_1.html#K5" title="CAT_1:func.5">*</a> <span class="p4">(<span class="default"><a href="cat_4.html#K7" title="CAT_4:func.7">pr1</a> (<span class="p5">(<span class="default"><font color="Maroon" title="c2">a</font> <a href="cat_4.html#K2" title="CAT_4:func.2">[x]</a> <font color="Maroon" title="c3">b</font></span>)</span>,<font color="Maroon" title="c4">c</font>)</span>)</span></span>)</span>,<span class="p3">(<span class="default"><a href="cat_4.html#K8" title="CAT_4:func.8">pr2</a> (<span class="p4">(<span class="default"><font color="Maroon" title="c2">a</font> <a href="cat_4.html#K2" title="CAT_4:func.2">[x]</a> <font color="Maroon" title="c3">b</font></span>)</span>,<font color="Maroon" title="c4">c</font>)</span>)</span></span><a href="cat_4.html#K9" title="CAT_4:func.9">:&gt;</a></span></span><a href="cat_4.html#K9" title="CAT_4:func.9">:&gt;</a></span> = 
<span class="p1">(<span class="default"><a href="cat_4.html#K8" title="CAT_4:func.8">pr2</a> (<font color="Maroon" title="c3">b</font>,<font color="Maroon" title="c4">c</font>)</span>)</span> <a href="cat_1.html#K5" title="CAT_1:func.5">*</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="cat_4.html#K8" title="CAT_4:func.8">pr2</a> (<font color="Maroon" title="c2">a</font>,<span class="p3">(<span class="default"><font color="Maroon" title="c3">b</font> <a href="cat_4.html#K2" title="CAT_4:func.2">[x]</a> <font color="Maroon" title="c4">c</font></span>)</span>)</span>)</span> <a href="cat_1.html#K5" title="CAT_1:func.5">*</a> <span class="p2"><a href="cat_4.html#K9" title="CAT_4:func.9">&lt;:</a><span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><a href="cat_4.html#K7" title="CAT_4:func.7">pr1</a> (<font color="Maroon" title="c2">a</font>,<font color="Maroon" title="c3">b</font>)</span>)</span> <a href="cat_1.html#K5" title="CAT_1:func.5">*</a> <span class="p4">(<span class="default"><a href="cat_4.html#K7" title="CAT_4:func.7">pr1</a> (<span class="p5">(<span class="default"><font color="Maroon" title="c2">a</font> <a href="cat_4.html#K2" title="CAT_4:func.2">[x]</a> <font color="Maroon" title="c3">b</font></span>)</span>,<font color="Maroon" title="c4">c</font>)</span>)</span></span>)</span>,<span class="p3"><a href="cat_4.html#K9" title="CAT_4:func.9">&lt;:</a><span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="cat_4.html#K8" title="CAT_4:func.8">pr2</a> (<font color="Maroon" title="c2">a</font>,<font color="Maroon" title="c3">b</font>)</span>)</span> <a href="cat_1.html#K5" title="CAT_1:func.5">*</a> <span class="p5">(<span class="default"><a href="cat_4.html#K7" title="CAT_4:func.7">pr1</a> (<span class="p0">(<span class="default"><font color="Maroon" title="c2">a</font> <a href="cat_4.html#K2" title="CAT_4:func.2">[x]</a> <font color="Maroon" title="c3">b</font></span>)</span>,<font color="Maroon" title="c4">c</font>)</span>)</span></span>)</span>,<span class="p4">(<span class="default"><a href="cat_4.html#K8" title="CAT_4:func.8">pr2</a> (<span class="p5">(<span class="default"><font color="Maroon" title="c2">a</font> <a href="cat_4.html#K2" title="CAT_4:func.2">[x]</a> <font color="Maroon" title="c3">b</font></span>)</span>,<font color="Maroon" title="c4">c</font>)</span>)</span></span><a href="cat_4.html#K9" title="CAT_4:func.9">:&gt;</a></span></span><a href="cat_4.html#K9" title="CAT_4:func.9">:&gt;</a></span></span>)</span>
<span class="kw">by</span> <span class="lab"><a class="txt" href="#E18:53"><span class="lab"><font color="Green" title="E43">A17</font></span></a>, <a class="txt" href="#E8:53"><span class="lab"><font color="Green" title="E34">A8</font></span></a>, <a class="txt" href="#E9:53"><span class="lab"><font color="Green" title="E35">A9</font></span></a>, <a class="ref" href="cat_1.html#T25" title="CAT_1:th.25">CAT_1:25</a></span>
<br/>.= 
<span class="p1">(<span class="default"><a href="cat_4.html#K8" title="CAT_4:func.8">pr2</a> (<font color="Maroon" title="c3">b</font>,<font color="Maroon" title="c4">c</font>)</span>)</span> <a href="cat_1.html#K5" title="CAT_1:func.5">*</a> <span class="p1"><a href="cat_4.html#K9" title="CAT_4:func.9">&lt;:</a><span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="cat_4.html#K8" title="CAT_4:func.8">pr2</a> (<font color="Maroon" title="c2">a</font>,<font color="Maroon" title="c3">b</font>)</span>)</span> <a href="cat_1.html#K5" title="CAT_1:func.5">*</a> <span class="p3">(<span class="default"><a href="cat_4.html#K7" title="CAT_4:func.7">pr1</a> (<span class="p4">(<span class="default"><font color="Maroon" title="c2">a</font> <a href="cat_4.html#K2" title="CAT_4:func.2">[x]</a> <font color="Maroon" title="c3">b</font></span>)</span>,<font color="Maroon" title="c4">c</font>)</span>)</span></span>)</span>,<span class="p2">(<span class="default"><a href="cat_4.html#K8" title="CAT_4:func.8">pr2</a> (<span class="p3">(<span class="default"><font color="Maroon" title="c2">a</font> <a href="cat_4.html#K2" title="CAT_4:func.2">[x]</a> <font color="Maroon" title="c3">b</font></span>)</span>,<font color="Maroon" title="c4">c</font>)</span>)</span></span><a href="cat_4.html#K9" title="CAT_4:func.9">:&gt;</a></span>
<span class="kw">by</span> <span class="lab"><a class="txt" href="#E7:53"><span class="lab"><font color="Green" title="E33">A7</font></span></a>, <a class="txt" href="#E5:53"><span class="lab"><font color="Green" title="E31">A5</font></span></a>, <a class="ref" href="cat_4.html#D10" target="_self" title="CAT_4:def.10">Def11</a></span>
<br/>.= 
 <a href="cat_4.html#K8" title="CAT_4:func.8">pr2</a> (<span class="p1">(<span class="default"><font color="Maroon" title="c2">a</font> <a href="cat_4.html#K2" title="CAT_4:func.2">[x]</a> <font color="Maroon" title="c3">b</font></span>)</span>,<font color="Maroon" title="c4">c</font>)
<span class="kw">by</span> <span class="lab"><a class="txt" href="#E3:53"><span class="lab"><font color="Green" title="E29">A3</font></span></a>, <a class="txt" href="#E4:53"><span class="lab"><font color="Green" title="E30">A4</font></span></a>, <a class="ref" href="cat_4.html#D10" target="_self" title="CAT_4:def.10">Def11</a></span>
;<br/>
<span class="kw">hence </span><span class="p1">(<span class="default"><a href="cat_4.html#K17" title="CAT_4:func.17">Alpha'</a> (<font color="Maroon" title="c2">a</font>,<font color="Maroon" title="c3">b</font>,<font color="Maroon" title="c4">c</font>)</span>)</span> <a href="cat_1.html#K5" title="CAT_1:func.5">*</a> <span class="p1">(<span class="default"><a href="cat_4.html#K16" title="CAT_4:func.16">Alpha</a> (<font color="Maroon" title="c2">a</font>,<font color="Maroon" title="c3">b</font>,<font color="Maroon" title="c4">c</font>)</span>)</span> = 
<span class="p1"><a href="cat_4.html#K9" title="CAT_4:func.9">&lt;:</a><span class="default"><span class="p2">(<span class="default"><a href="cat_4.html#K7" title="CAT_4:func.7">pr1</a> (<span class="p3">(<span class="default"><font color="Maroon" title="c2">a</font> <a href="cat_4.html#K2" title="CAT_4:func.2">[x]</a> <font color="Maroon" title="c3">b</font></span>)</span>,<font color="Maroon" title="c4">c</font>)</span>)</span>,<span class="p2">(<span class="default"><a href="cat_4.html#K8" title="CAT_4:func.8">pr2</a> (<span class="p3">(<span class="default"><font color="Maroon" title="c2">a</font> <a href="cat_4.html#K2" title="CAT_4:func.2">[x]</a> <font color="Maroon" title="c3">b</font></span>)</span>,<font color="Maroon" title="c4">c</font>)</span>)</span></span><a href="cat_4.html#K9" title="CAT_4:func.9">:&gt;</a></span>
<span class="kw">by</span> <span class="lab"><a class="txt" href="#E18:53"><span class="lab"><font color="Green" title="E43">A17</font></span></a>, <a class="txt" href="#E10:53"><span class="lab"><font color="Green" title="E36">A10</font></span></a>, <a class="txt" href="#E14:53"><span class="lab"><font color="Green" title="E40">A14</font></span></a>, <a class="txt" href="#E20:53"><span class="lab"><font color="Green" title="E44">A18</font></span></a>, <a class="ref" href="cat_4.html#T25" target="_self" title="CAT_4:th.25">Th27</a></span>
<br/>.= 
 <a href="cat_1.html#K6" title="CAT_1:func.6">id</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><font color="Maroon" title="c2">a</font> <a href="cat_4.html#K2" title="CAT_4:func.2">[x]</a> <font color="Maroon" title="c3">b</font></span>)</span> <a href="cat_4.html#K2" title="CAT_4:func.2">[x]</a> <font color="Maroon" title="c4">c</font></span>)</span>
<span class="kw">by</span> <span class="lab"><a class="ref" href="cat_4.html#T24" target="_self" title="CAT_4:th.24">Th26</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>
