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<span class="kw">let </span><font color="Maroon" title="c1">i</font>, <font color="Maroon" title="c2">j</font>, <font color="Maroon" title="c3">k</font>, <font color="Maroon" title="c4">l</font> be   <a href="struct_0.html#NM1" title="STRUCT_0:NM.1">Element</a> of <font color="Maroon">F<sub>1</sub></font>(); <span class="comment"><font color="firebrick">:: according to </font></span><a class="ref" href="altcat_1.html#D5" onmouseover="rs('altcat_1/D5')" onmouseout="rh()">ALTCAT_1:def 5</a>,<a class="ref" href="altcat_1.html#D15" onmouseover="rs('altcat_1/D15')" onmouseout="rh()">ALTCAT_1:def 15</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">b<sub>1</sub></font>, <font color="Olive">b<sub>2</sub></font>, <font color="Olive">b<sub>3</sub></font> being    <a href="hidden.html#M2" title="HIDDEN:mode.2">set</a>   holds <br/>(  not <font color="Olive">b<sub>1</sub></font> <a href="tarski.html#R2" title="TARSKI:pred.2">in</a>  the <a href="altcat_1.html#U1" title="ALTCAT_1:sel.1">Arrows</a> of <font color="Maroon">F<sub>1</sub></font>() <a href="binop_1.html#K1" title="BINOP_1:func.1">.</a> (<font color="Maroon" title="c1">i</font>,<font color="Maroon" title="c2">j</font>) or  not <font color="Olive">b<sub>2</sub></font> <a href="tarski.html#R2" title="TARSKI:pred.2">in</a>  the <a href="altcat_1.html#U1" title="ALTCAT_1:sel.1">Arrows</a> of <font color="Maroon">F<sub>1</sub></font>() <a href="binop_1.html#K1" title="BINOP_1:func.1">.</a> (<font color="Maroon" title="c2">j</font>,<font color="Maroon" title="c3">k</font>) or  not <font color="Olive">b<sub>3</sub></font> <a href="tarski.html#R2" title="TARSKI:pred.2">in</a>  the <a href="altcat_1.html#U1" title="ALTCAT_1:sel.1">Arrows</a> of <font color="Maroon">F<sub>1</sub></font>() <a href="binop_1.html#K1" title="BINOP_1:func.1">.</a> (<font color="Maroon" title="c3">k</font>,<font color="Maroon" title="c4">l</font>) or <span class="p1">(<span class="default"> the <a href="altcat_1.html#U2" title="ALTCAT_1:sel.2">Comp</a> of <font color="Maroon">F<sub>1</sub></font>() <a href="altcat_1.html#K4" title="ALTCAT_1:func.4">.</a> (<font color="Maroon" title="c1">i</font>,<font color="Maroon" title="c3">k</font>,<font color="Maroon" title="c4">l</font>)</span>)</span> <a href="binop_1.html#K1" title="BINOP_1:func.1">.</a> (<font color="Olive">b<sub>3</sub></font>,<span class="p1">(<span class="default"><span class="p2">(<span class="default"> the <a href="altcat_1.html#U2" title="ALTCAT_1:sel.2">Comp</a> of <font color="Maroon">F<sub>1</sub></font>() <a href="altcat_1.html#K4" title="ALTCAT_1:func.4">.</a> (<font color="Maroon" title="c1">i</font>,<font color="Maroon" title="c2">j</font>,<font color="Maroon" title="c3">k</font>)</span>)</span> <a href="binop_1.html#K1" title="BINOP_1:func.1">.</a> (<font color="Olive">b<sub>2</sub></font>,<font color="Olive">b<sub>1</sub></font>)</span>)</span>) <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default"> the <a href="altcat_1.html#U2" title="ALTCAT_1:sel.2">Comp</a> of <font color="Maroon">F<sub>1</sub></font>() <a href="altcat_1.html#K4" title="ALTCAT_1:func.4">.</a> (<font color="Maroon" title="c1">i</font>,<font color="Maroon" title="c2">j</font>,<font color="Maroon" title="c4">l</font>)</span>)</span> <a href="binop_1.html#K1" title="BINOP_1:func.1">.</a> (<span class="p1">(<span class="default"><span class="p2">(<span class="default"> the <a href="altcat_1.html#U2" title="ALTCAT_1:sel.2">Comp</a> of <font color="Maroon">F<sub>1</sub></font>() <a href="altcat_1.html#K4" title="ALTCAT_1:func.4">.</a> (<font color="Maroon" title="c2">j</font>,<font color="Maroon" title="c3">k</font>,<font color="Maroon" title="c4">l</font>)</span>)</span> <a href="binop_1.html#K1" title="BINOP_1:func.1">.</a> (<font color="Olive">b<sub>3</sub></font>,<font color="Olive">b<sub>2</sub></font>)</span>)</span>,<font color="Olive">b<sub>1</sub></font>) )</span><br/>

<span class="kw">set </span><font color="Maroon" title="c5">alt</font> = <font color="Maroon">F<sub>1</sub></font>();<br/>
<span class="kw">set </span><font color="Maroon" title="c6">IT</font> =  the <a href="altcat_1.html#U2" title="ALTCAT_1:sel.2">Comp</a> of <font color="Maroon">F<sub>1</sub></font>();<br/>
<span class="kw">set </span><font color="Maroon" title="c7">B</font> =  the <a href="altcat_1.html#U1" title="ALTCAT_1:sel.1">Arrows</a> of <font color="Maroon">F<sub>1</sub></font>();<br/>
<span class="kw">reconsider </span><font color="Maroon" title="c8">i9</font> = <font color="Maroon" title="c1">i</font>, <font color="Maroon" title="c9">j9</font> = <font color="Maroon" title="c2">j</font>, <font color="Maroon" title="c10">k9</font> = <font color="Maroon" title="c3">k</font>, <font color="Maroon" title="c11">l9</font> = <font color="Maroon" title="c4">l</font> as   <a href="altcat_1.html#NM1" title="ALTCAT_1:NM.1">Object</a> of <font color="Maroon">F<sub>1</sub></font>() ;<br/>
<span class="kw">let </span><font color="Maroon" title="c12">f</font>, <font color="Maroon" title="c13">g</font>, <font color="Maroon" title="c14">h</font> be    <a href="hidden.html#M2" title="HIDDEN:mode.2">set</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="c12">f</font> <a href="tarski.html#R2" title="TARSKI:pred.2">in</a>  the <a href="altcat_1.html#U1" title="ALTCAT_1:sel.1">Arrows</a> of <font color="Maroon">F<sub>1</sub></font>() <a href="binop_1.html#K1" title="BINOP_1:func.1">.</a> (<font color="Maroon" title="c1">i</font>,<font color="Maroon" title="c2">j</font>) or  not <font color="Maroon" title="c13">g</font> <a href="tarski.html#R2" title="TARSKI:pred.2">in</a>  the <a href="altcat_1.html#U1" title="ALTCAT_1:sel.1">Arrows</a> of <font color="Maroon">F<sub>1</sub></font>() <a href="binop_1.html#K1" title="BINOP_1:func.1">.</a> (<font color="Maroon" title="c2">j</font>,<font color="Maroon" title="c3">k</font>) or  not <font color="Maroon" title="c14">h</font> <a href="tarski.html#R2" title="TARSKI:pred.2">in</a>  the <a href="altcat_1.html#U1" title="ALTCAT_1:sel.1">Arrows</a> of <font color="Maroon">F<sub>1</sub></font>() <a href="binop_1.html#K1" title="BINOP_1:func.1">.</a> (<font color="Maroon" title="c3">k</font>,<font color="Maroon" title="c4">l</font>) or <span class="p1">(<span class="default"> the <a href="altcat_1.html#U2" title="ALTCAT_1:sel.2">Comp</a> of <font color="Maroon">F<sub>1</sub></font>() <a href="altcat_1.html#K4" title="ALTCAT_1:func.4">.</a> (<font color="Maroon" title="c1">i</font>,<font color="Maroon" title="c3">k</font>,<font color="Maroon" title="c4">l</font>)</span>)</span> <a href="binop_1.html#K1" title="BINOP_1:func.1">.</a> (<font color="Maroon" title="c14">h</font>,<span class="p1">(<span class="default"><span class="p2">(<span class="default"> the <a href="altcat_1.html#U2" title="ALTCAT_1:sel.2">Comp</a> of <font color="Maroon">F<sub>1</sub></font>() <a href="altcat_1.html#K4" title="ALTCAT_1:func.4">.</a> (<font color="Maroon" title="c1">i</font>,<font color="Maroon" title="c2">j</font>,<font color="Maroon" title="c3">k</font>)</span>)</span> <a href="binop_1.html#K1" title="BINOP_1:func.1">.</a> (<font color="Maroon" title="c13">g</font>,<font color="Maroon" title="c12">f</font>)</span>)</span>) <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default"> the <a href="altcat_1.html#U2" title="ALTCAT_1:sel.2">Comp</a> of <font color="Maroon">F<sub>1</sub></font>() <a href="altcat_1.html#K4" title="ALTCAT_1:func.4">.</a> (<font color="Maroon" title="c1">i</font>,<font color="Maroon" title="c2">j</font>,<font color="Maroon" title="c4">l</font>)</span>)</span> <a href="binop_1.html#K1" title="BINOP_1:func.1">.</a> (<span class="p1">(<span class="default"><span class="p2">(<span class="default"> the <a href="altcat_1.html#U2" title="ALTCAT_1:sel.2">Comp</a> of <font color="Maroon">F<sub>1</sub></font>() <a href="altcat_1.html#K4" title="ALTCAT_1:func.4">.</a> (<font color="Maroon" title="c2">j</font>,<font color="Maroon" title="c3">k</font>,<font color="Maroon" title="c4">l</font>)</span>)</span> <a href="binop_1.html#K1" title="BINOP_1:func.1">.</a> (<font color="Maroon" title="c14">h</font>,<font color="Maroon" title="c13">g</font>)</span>)</span>,<font color="Maroon" title="c12">f</font>) )</span><br/>

<span class="kw">assume </span><span class="kw">that </span><br/><a NAME="E2:2_1"/><span class="lab"><font color="Green" title="E3">A3</font></span>: 
<font color="Maroon" title="c12">f</font> <a href="tarski.html#R2" title="TARSKI:pred.2">in</a>  the <a href="altcat_1.html#U1" title="ALTCAT_1:sel.1">Arrows</a> of <font color="Maroon">F<sub>1</sub></font>() <a href="binop_1.html#K1" title="BINOP_1:func.1">.</a> (<font color="Maroon" title="c1">i</font>,<font color="Maroon" title="c2">j</font>)
 <span class="kw">and </span><br/><a NAME="E3:2_1"/><span class="lab"><font color="Green" title="E4">A4</font></span>: 
<font color="Maroon" title="c13">g</font> <a href="tarski.html#R2" title="TARSKI:pred.2">in</a>  the <a href="altcat_1.html#U1" title="ALTCAT_1:sel.1">Arrows</a> of <font color="Maroon">F<sub>1</sub></font>() <a href="binop_1.html#K1" title="BINOP_1:func.1">.</a> (<font color="Maroon" title="c2">j</font>,<font color="Maroon" title="c3">k</font>)
 <span class="kw">and </span><br/><a NAME="E4:2_1"/><span class="lab"><font color="Green" title="E5">A5</font></span>: 
<font color="Maroon" title="c14">h</font> <a href="tarski.html#R2" title="TARSKI:pred.2">in</a>  the <a href="altcat_1.html#U1" title="ALTCAT_1:sel.1">Arrows</a> of <font color="Maroon">F<sub>1</sub></font>() <a href="binop_1.html#K1" title="BINOP_1:func.1">.</a> (<font color="Maroon" title="c3">k</font>,<font color="Maroon" title="c4">l</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"> <span class="p1">(<span class="default"> the <a href="altcat_1.html#U2" title="ALTCAT_1:sel.2">Comp</a> of <font color="Maroon">F<sub>1</sub></font>() <a href="altcat_1.html#K4" title="ALTCAT_1:func.4">.</a> (<font color="Maroon" title="c1">i</font>,<font color="Maroon" title="c3">k</font>,<font color="Maroon" title="c4">l</font>)</span>)</span> <a href="binop_1.html#K1" title="BINOP_1:func.1">.</a> (<font color="Maroon" title="c14">h</font>,<span class="p1">(<span class="default"><span class="p2">(<span class="default"> the <a href="altcat_1.html#U2" title="ALTCAT_1:sel.2">Comp</a> of <font color="Maroon">F<sub>1</sub></font>() <a href="altcat_1.html#K4" title="ALTCAT_1:func.4">.</a> (<font color="Maroon" title="c1">i</font>,<font color="Maroon" title="c2">j</font>,<font color="Maroon" title="c3">k</font>)</span>)</span> <a href="binop_1.html#K1" title="BINOP_1:func.1">.</a> (<font color="Maroon" title="c13">g</font>,<font color="Maroon" title="c12">f</font>)</span>)</span>) <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default"> the <a href="altcat_1.html#U2" title="ALTCAT_1:sel.2">Comp</a> of <font color="Maroon">F<sub>1</sub></font>() <a href="altcat_1.html#K4" title="ALTCAT_1:func.4">.</a> (<font color="Maroon" title="c1">i</font>,<font color="Maroon" title="c2">j</font>,<font color="Maroon" title="c4">l</font>)</span>)</span> <a href="binop_1.html#K1" title="BINOP_1:func.1">.</a> (<span class="p1">(<span class="default"><span class="p2">(<span class="default"> the <a href="altcat_1.html#U2" title="ALTCAT_1:sel.2">Comp</a> of <font color="Maroon">F<sub>1</sub></font>() <a href="altcat_1.html#K4" title="ALTCAT_1:func.4">.</a> (<font color="Maroon" title="c2">j</font>,<font color="Maroon" title="c3">k</font>,<font color="Maroon" title="c4">l</font>)</span>)</span> <a href="binop_1.html#K1" title="BINOP_1:func.1">.</a> (<font color="Maroon" title="c14">h</font>,<font color="Maroon" title="c13">g</font>)</span>)</span>,<font color="Maroon" title="c12">f</font>)</span><br/>

<a NAME="E5:2_1"/><span class="lab"><font color="Green" title="E6">A6</font></span>: 
 the <a href="altcat_1.html#U1" title="ALTCAT_1:sel.1">Arrows</a> of <font color="Maroon">F<sub>1</sub></font>() <a href="binop_1.html#K1" title="BINOP_1:func.1">.</a> (<font color="Maroon" title="c1">i</font>,<font color="Maroon" title="c2">j</font>) <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1"><a href="altcat_1.html#K1" title="ALTCAT_1:func.1">&lt;^</a><span class="default"><font color="Maroon" title="c8">i9</font>,<font color="Maroon" title="c9">j9</font></span><a href="altcat_1.html#K1" title="ALTCAT_1:func.1">^&gt;</a></span>
 
;<br/>
<span class="kw">reconsider </span><font color="Maroon" title="c15">f9</font> = <font color="Maroon" title="c12">f</font> as   <a href="altcat_1.html#NM2" title="ALTCAT_1:NM.2">Morphism</a> of <font color="Maroon" title="c8">i9</font>,<font color="Maroon" title="c9">j9</font> <span class="kw">by</span> <span class="lab"><a class="txt" href="#E2:2_1"><span class="lab"><font color="Green" title="E3">A3</font></span></a></span>;<br/>
<a NAME="E7:2_1"/><span class="lab"><font color="Green" title="E7">A7</font></span>: 
 the <a href="altcat_1.html#U1" title="ALTCAT_1:sel.1">Arrows</a> of <font color="Maroon">F<sub>1</sub></font>() <a href="binop_1.html#K1" title="BINOP_1:func.1">.</a> (<font color="Maroon" title="c2">j</font>,<font color="Maroon" title="c3">k</font>) <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1"><a href="altcat_1.html#K1" title="ALTCAT_1:func.1">&lt;^</a><span class="default"><font color="Maroon" title="c9">j9</font>,<font color="Maroon" title="c10">k9</font></span><a href="altcat_1.html#K1" title="ALTCAT_1:func.1">^&gt;</a></span>
 
;<br/>
<span class="kw">reconsider </span><font color="Maroon" title="c16">g9</font> = <font color="Maroon" title="c13">g</font> as   <a href="altcat_1.html#NM2" title="ALTCAT_1:NM.2">Morphism</a> of <font color="Maroon" title="c9">j9</font>,<font color="Maroon" title="c10">k9</font> <span class="kw">by</span> <span class="lab"><a class="txt" href="#E3:2_1"><span class="lab"><font color="Green" title="E4">A4</font></span></a></span>;<br/>
<a NAME="E9:2_1"/><span class="lab"><font color="Green" title="E8">A8</font></span>: 
 the <a href="altcat_1.html#U1" title="ALTCAT_1:sel.1">Arrows</a> of <font color="Maroon">F<sub>1</sub></font>() <a href="binop_1.html#K1" title="BINOP_1:func.1">.</a> (<font color="Maroon" title="c3">k</font>,<font color="Maroon" title="c4">l</font>) <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1"><a href="altcat_1.html#K1" title="ALTCAT_1:func.1">&lt;^</a><span class="default"><font color="Maroon" title="c10">k9</font>,<font color="Maroon" title="c11">l9</font></span><a href="altcat_1.html#K1" title="ALTCAT_1:func.1">^&gt;</a></span>
 
;<br/>
<span class="kw">reconsider </span><font color="Maroon" title="c17">h9</font> = <font color="Maroon" title="c14">h</font> as   <a href="altcat_1.html#NM2" title="ALTCAT_1:NM.2">Morphism</a> of <font color="Maroon" title="c10">k9</font>,<font color="Maroon" title="c11">l9</font> <span class="kw">by</span> <span class="lab"><a class="txt" href="#E4:2_1"><span class="lab"><font color="Green" title="E5">A5</font></span></a></span>;<br/>
<a NAME="E11:2_1"/><span class="lab"><font color="Green" title="E9">A9</font></span>: 
<span class="p1"><a href="altcat_1.html#K1" title="ALTCAT_1:func.1">&lt;^</a><span class="default"><font color="Maroon" title="c8">i9</font>,<font color="Maroon" title="c10">k9</font></span><a href="altcat_1.html#K1" title="ALTCAT_1:func.1">^&gt;</a></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="#E2:2_1"><span class="lab"><font color="Green" title="E3">A3</font></span></a>, <a class="txt" href="#E3:2_1"><span class="lab"><font color="Green" title="E4">A4</font></span></a>, <a class="txt" href="#E5:2_1"><span class="lab"><font color="Green" title="E6">A6</font></span></a>, <a class="txt" href="#E7:2_1"><span class="lab"><font color="Green" title="E7">A7</font></span></a>, <a class="ref" href="altcat_1.html#D2" onmouseover="rs('altcat_1/D2')" onmouseout="rh()">ALTCAT_1:def 2</a></span>;<br/>
<a NAME="E12:2_1"/><span class="lab"><font color="Green" title="E10">A10</font></span>: 
<span class="p1"><a href="altcat_1.html#K1" title="ALTCAT_1:func.1">&lt;^</a><span class="default"><font color="Maroon" title="c9">j9</font>,<font color="Maroon" title="c11">l9</font></span><a href="altcat_1.html#K1" title="ALTCAT_1:func.1">^&gt;</a></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="#E3:2_1"><span class="lab"><font color="Green" title="E4">A4</font></span></a>, <a class="txt" href="#E4:2_1"><span class="lab"><font color="Green" title="E5">A5</font></span></a>, <a class="txt" href="#E7:2_1"><span class="lab"><font color="Green" title="E7">A7</font></span></a>, <a class="txt" href="#E9:2_1"><span class="lab"><font color="Green" title="E8">A8</font></span></a>, <a class="ref" href="altcat_1.html#D2" onmouseover="rs('altcat_1/D2')" onmouseout="rh()">ALTCAT_1:def 2</a></span>;<br/>
<span class="kw">thus </span><span class="p1">(<span class="default"> the <a href="altcat_1.html#U2" title="ALTCAT_1:sel.2">Comp</a> of <font color="Maroon">F<sub>1</sub></font>() <a href="altcat_1.html#K4" title="ALTCAT_1:func.4">.</a> (<font color="Maroon" title="c1">i</font>,<font color="Maroon" title="c3">k</font>,<font color="Maroon" title="c4">l</font>)</span>)</span> <a href="binop_1.html#K1" title="BINOP_1:func.1">.</a> (<font color="Maroon" title="c14">h</font>,<span class="p1">(<span class="default"><span class="p2">(<span class="default"> the <a href="altcat_1.html#U2" title="ALTCAT_1:sel.2">Comp</a> of <font color="Maroon">F<sub>1</sub></font>() <a href="altcat_1.html#K4" title="ALTCAT_1:func.4">.</a> (<font color="Maroon" title="c1">i</font>,<font color="Maroon" title="c2">j</font>,<font color="Maroon" title="c3">k</font>)</span>)</span> <a href="binop_1.html#K1" title="BINOP_1:func.1">.</a> (<font color="Maroon" title="c13">g</font>,<font color="Maroon" title="c12">f</font>)</span>)</span>) = 
<span class="p1">(<span class="default"> the <a href="altcat_1.html#U2" title="ALTCAT_1:sel.2">Comp</a> of <font color="Maroon">F<sub>1</sub></font>() <a href="altcat_1.html#K4" title="ALTCAT_1:func.4">.</a> (<font color="Maroon" title="c1">i</font>,<font color="Maroon" title="c3">k</font>,<font color="Maroon" title="c4">l</font>)</span>)</span> <a href="binop_1.html#K1" title="BINOP_1:func.1">.</a> (<font color="Maroon" title="c14">h</font>,<span class="p1">(<span class="default"><font color="Maroon" title="c16">g9</font> <a href="altcat_1.html#K5" title="ALTCAT_1:func.5">*</a> <font color="Maroon" title="c15">f9</font></span>)</span>)
<span class="kw">by</span> <span class="lab"><a class="txt" href="#E2:2_1"><span class="lab"><font color="Green" title="E3">A3</font></span></a>, <a class="txt" href="#E3:2_1"><span class="lab"><font color="Green" title="E4">A4</font></span></a>, <a class="ref" href="altcat_1.html#D8" onmouseover="rs('altcat_1/D8')" onmouseout="rh()">ALTCAT_1:def 8</a></span>
<br/>.= 
<font color="Maroon" title="c17">h9</font> <a href="altcat_1.html#K5" title="ALTCAT_1:func.5">*</a> <span class="p1">(<span class="default"><font color="Maroon" title="c16">g9</font> <a href="altcat_1.html#K5" title="ALTCAT_1:func.5">*</a> <font color="Maroon" title="c15">f9</font></span>)</span>
<span class="kw">by</span> <span class="lab"><a class="txt" href="#E4:2_1"><span class="lab"><font color="Green" title="E5">A5</font></span></a>, <a class="txt" href="#E11:2_1"><span class="lab"><font color="Green" title="E9">A9</font></span></a>, <a class="ref" href="altcat_1.html#D8" onmouseover="rs('altcat_1/D8')" onmouseout="rh()">ALTCAT_1:def 8</a></span>
<br/>.= 
<font color="Maroon">F<sub>2</sub></font>(<font color="Maroon" title="c1">i</font>,<font color="Maroon" title="c3">k</font>,<font color="Maroon" title="c4">l</font>,<span class="p1">(<span class="default"><font color="Maroon" title="c16">g9</font> <a href="altcat_1.html#K5" title="ALTCAT_1:func.5">*</a> <font color="Maroon" title="c15">f9</font></span>)</span>,<font color="Maroon" title="c17">h9</font>)
<span class="kw">by</span> <span class="lab"><a class="txt" href="#E1:2"><span class="lab"><font color="Green" title="E1">A1</font></span></a>, <a class="txt" href="#E4:2_1"><span class="lab"><font color="Green" title="E5">A5</font></span></a>, <a class="txt" href="#E11:2_1"><span class="lab"><font color="Green" title="E9">A9</font></span></a></span>
<br/>.= 
<font color="Maroon">F<sub>2</sub></font>(<font color="Maroon" title="c1">i</font>,<font color="Maroon" title="c3">k</font>,<font color="Maroon" title="c4">l</font>,<font color="Maroon">F<sub>2</sub></font>(<font color="Maroon" title="c1">i</font>,<font color="Maroon" title="c2">j</font>,<font color="Maroon" title="c3">k</font>,<font color="Maroon" title="c12">f</font>,<font color="Maroon" title="c13">g</font>),<font color="Maroon" title="c14">h</font>)
<span class="kw">by</span> <span class="lab"><a class="txt" href="#E1:2"><span class="lab"><font color="Green" title="E1">A1</font></span></a>, <a class="txt" href="#E2:2_1"><span class="lab"><font color="Green" title="E3">A3</font></span></a>, <a class="txt" href="#E3:2_1"><span class="lab"><font color="Green" title="E4">A4</font></span></a></span>
<br/>.= 
<font color="Maroon">F<sub>2</sub></font>(<font color="Maroon" title="c8">i9</font>,<font color="Maroon" title="c9">j9</font>,<font color="Maroon" title="c11">l9</font>,<font color="Maroon" title="c12">f</font>,<font color="Maroon">F<sub>2</sub></font>(<font color="Maroon" title="c9">j9</font>,<font color="Maroon" title="c10">k9</font>,<font color="Maroon" title="c11">l9</font>,<font color="Maroon" title="c13">g</font>,<font color="Maroon" title="c14">h</font>))
<span class="kw">by</span> <span class="lab"><a class="txt" href="#E2:2"><span class="lab"><font color="Green" title="E2">A2</font></span></a>, <a class="txt" href="#E2:2_1"><span class="lab"><font color="Green" title="E3">A3</font></span></a>, <a class="txt" href="#E3:2_1"><span class="lab"><font color="Green" title="E4">A4</font></span></a>, <a class="txt" href="#E4:2_1"><span class="lab"><font color="Green" title="E5">A5</font></span></a>, <a class="txt" href="#E5:2_1"><span class="lab"><font color="Green" title="E6">A6</font></span></a>, <a class="txt" href="#E7:2_1"><span class="lab"><font color="Green" title="E7">A7</font></span></a>, <a class="txt" href="#E9:2_1"><span class="lab"><font color="Green" title="E8">A8</font></span></a></span>
<br/>.= 
<font color="Maroon">F<sub>2</sub></font>(<font color="Maroon" title="c8">i9</font>,<font color="Maroon" title="c9">j9</font>,<font color="Maroon" title="c11">l9</font>,<font color="Maroon" title="c12">f</font>,<span class="p1">(<span class="default"><font color="Maroon" title="c17">h9</font> <a href="altcat_1.html#K5" title="ALTCAT_1:func.5">*</a> <font color="Maroon" title="c16">g9</font></span>)</span>)
<span class="kw">by</span> <span class="lab"><a class="txt" href="#E1:2"><span class="lab"><font color="Green" title="E1">A1</font></span></a>, <a class="txt" href="#E3:2_1"><span class="lab"><font color="Green" title="E4">A4</font></span></a>, <a class="txt" href="#E4:2_1"><span class="lab"><font color="Green" title="E5">A5</font></span></a></span>
<br/>.= 
<span class="p1">(<span class="default"><font color="Maroon" title="c17">h9</font> <a href="altcat_1.html#K5" title="ALTCAT_1:func.5">*</a> <font color="Maroon" title="c16">g9</font></span>)</span> <a href="altcat_1.html#K5" title="ALTCAT_1:func.5">*</a> <font color="Maroon" title="c15">f9</font>
<span class="kw">by</span> <span class="lab"><a class="txt" href="#E1:2"><span class="lab"><font color="Green" title="E1">A1</font></span></a>, <a class="txt" href="#E2:2_1"><span class="lab"><font color="Green" title="E3">A3</font></span></a>, <a class="txt" href="#E12:2_1"><span class="lab"><font color="Green" title="E10">A10</font></span></a></span>
<br/>.= 
<span class="p1">(<span class="default"> the <a href="altcat_1.html#U2" title="ALTCAT_1:sel.2">Comp</a> of <font color="Maroon">F<sub>1</sub></font>() <a href="altcat_1.html#K4" title="ALTCAT_1:func.4">.</a> (<font color="Maroon" title="c1">i</font>,<font color="Maroon" title="c2">j</font>,<font color="Maroon" title="c4">l</font>)</span>)</span> <a href="binop_1.html#K1" title="BINOP_1:func.1">.</a> (<span class="p1">(<span class="default"><font color="Maroon" title="c17">h9</font> <a href="altcat_1.html#K5" title="ALTCAT_1:func.5">*</a> <font color="Maroon" title="c16">g9</font></span>)</span>,<font color="Maroon" title="c12">f</font>)
<span class="kw">by</span> <span class="lab"><a class="txt" href="#E2:2_1"><span class="lab"><font color="Green" title="E3">A3</font></span></a>, <a class="txt" href="#E12:2_1"><span class="lab"><font color="Green" title="E10">A10</font></span></a>, <a class="ref" href="altcat_1.html#D8" onmouseover="rs('altcat_1/D8')" onmouseout="rh()">ALTCAT_1:def 8</a></span>
<br/>.= 
<span class="p1">(<span class="default"> the <a href="altcat_1.html#U2" title="ALTCAT_1:sel.2">Comp</a> of <font color="Maroon">F<sub>1</sub></font>() <a href="altcat_1.html#K4" title="ALTCAT_1:func.4">.</a> (<font color="Maroon" title="c1">i</font>,<font color="Maroon" title="c2">j</font>,<font color="Maroon" title="c4">l</font>)</span>)</span> <a href="binop_1.html#K1" title="BINOP_1:func.1">.</a> (<span class="p1">(<span class="default"><span class="p2">(<span class="default"> the <a href="altcat_1.html#U2" title="ALTCAT_1:sel.2">Comp</a> of <font color="Maroon">F<sub>1</sub></font>() <a href="altcat_1.html#K4" title="ALTCAT_1:func.4">.</a> (<font color="Maroon" title="c2">j</font>,<font color="Maroon" title="c3">k</font>,<font color="Maroon" title="c4">l</font>)</span>)</span> <a href="binop_1.html#K1" title="BINOP_1:func.1">.</a> (<font color="Maroon" title="c14">h</font>,<font color="Maroon" title="c13">g</font>)</span>)</span>,<font color="Maroon" title="c12">f</font>)
<span class="kw">by</span> <span class="lab"><a class="txt" href="#E3:2_1"><span class="lab"><font color="Green" title="E4">A4</font></span></a>, <a class="txt" href="#E4:2_1"><span class="lab"><font color="Green" title="E5">A5</font></span></a>, <a class="ref" href="altcat_1.html#D8" onmouseover="rs('altcat_1/D8')" onmouseout="rh()">ALTCAT_1:def 8</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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