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<span class="kw">let </span><font color="Maroon" title="c2">It1</font>, <font color="Maroon" title="c3">It2</font> be   <a href="cat_1.html#V1" title="CAT_1:attr.1">strict</a>   <a href="nattra_1.html#V2" title="NATTRA_1:attr.2">discrete</a>   <a href="cat_2.html#M3" title="CAT_2:mode.3">Subcategory</a> of <font color="Maroon" title="c1">C</font>; <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="Red">::  thesis: </font></span></a><span class="hide"> ( the <a href="struct_0.html#U1" title="STRUCT_0:sel.1">carrier</a> of <font color="Maroon" title="c2">It1</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> the <a href="struct_0.html#U1" title="STRUCT_0:sel.1">carrier</a> of <font color="Maroon" title="c1">C</font> &amp; the <a href="struct_0.html#U4" title="STRUCT_0:sel.4">carrier'</a> of <font color="Maroon" title="c2">It1</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">{<span class="default"> <span class="p2">(<span class="default"><a href="cat_1.html#K6" title="CAT_1:func.6">id</a> <font color="Olive" title="b1">a</font></span>)</span> where <font color="Olive" title="b1">a</font> is   <a href="cat_1.html#NM1" title="CAT_1:NM.1">Object</a> of <font color="Maroon" title="c1">C</font> : verum </span>}</span>  &amp; the <a href="struct_0.html#U1" title="STRUCT_0:sel.1">carrier</a> of <font color="Maroon" title="c3">It2</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> the <a href="struct_0.html#U1" title="STRUCT_0:sel.1">carrier</a> of <font color="Maroon" title="c1">C</font> &amp; the <a href="struct_0.html#U4" title="STRUCT_0:sel.4">carrier'</a> of <font color="Maroon" title="c3">It2</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">{<span class="default"> <span class="p2">(<span class="default"><a href="cat_1.html#K6" title="CAT_1:func.6">id</a> <font color="Olive" title="b1">a</font></span>)</span> where <font color="Olive" title="b1">a</font> is   <a href="cat_1.html#NM1" title="CAT_1:NM.1">Object</a> of <font color="Maroon" title="c1">C</font> : verum </span>}</span>  implies <font color="Maroon" title="c2">It1</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c3">It2</font> )</span><br/>

<span class="kw">assume </span><span class="kw">that </span><br/><a NAME="E1:81_1_2"/><span class="lab"><font color="Green" title="E56">A23</font></span>: 
the <a href="struct_0.html#U1" title="STRUCT_0:sel.1">carrier</a> of <font color="Maroon" title="c2">It1</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> the <a href="struct_0.html#U1" title="STRUCT_0:sel.1">carrier</a> of <font color="Maroon" title="c1">C</font>
 <span class="kw">and </span><br/><a NAME="E2:81_1_2"/><span class="lab"><font color="Green" title="E57">A24</font></span>: 
the <a href="struct_0.html#U4" title="STRUCT_0:sel.4">carrier'</a> of <font color="Maroon" title="c2">It1</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">{<span class="default"> <span class="p2">(<span class="default"><a href="cat_1.html#K6" title="CAT_1:func.6">id</a> <font color="Olive" title="b1">a</font></span>)</span> where <font color="Olive" title="b1">a</font> is   <a href="cat_1.html#NM1" title="CAT_1:NM.1">Object</a> of <font color="Maroon" title="c1">C</font> : verum </span>}</span> 
 <span class="kw">and </span><br/><a NAME="E3:81_1_2"/><span class="lab"><font color="Green" title="E58">A25</font></span>: 
the <a href="struct_0.html#U1" title="STRUCT_0:sel.1">carrier</a> of <font color="Maroon" title="c3">It2</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> the <a href="struct_0.html#U1" title="STRUCT_0:sel.1">carrier</a> of <font color="Maroon" title="c1">C</font>
 <span class="kw">and </span><br/><a NAME="E4:81_1_2"/><span class="lab"><font color="Green" title="E59">A26</font></span>: 
the <a href="struct_0.html#U4" title="STRUCT_0:sel.4">carrier'</a> of <font color="Maroon" title="c3">It2</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">{<span class="default"> <span class="p2">(<span class="default"><a href="cat_1.html#K6" title="CAT_1:func.6">id</a> <font color="Olive" title="b1">a</font></span>)</span> where <font color="Olive" title="b1">a</font> is   <a href="cat_1.html#NM1" title="CAT_1:NM.1">Object</a> of <font color="Maroon" title="c1">C</font> : verum </span>}</span> 
 ; <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="Red">::  thesis: </font></span></a><span class="hide"> <font color="Maroon" title="c2">It1</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c3">It2</font></span><br/>

<span class="kw">set </span><font color="Maroon" title="c4">M</font> = the <a href="struct_0.html#U4" title="STRUCT_0:sel.4">carrier'</a> of <font color="Maroon" title="c2">It1</font>;<br/>
<a NAME="E5:81_1_2"/><span class="lab"><font color="Green" title="E60">A27</font></span>: 
the <a href="graph_1.html#U2" title="GRAPH_1:sel.2">Target</a> of <font color="Maroon" title="c3">It2</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> the <a href="graph_1.html#U2" title="GRAPH_1:sel.2">Target</a> of <font color="Maroon" title="c1">C</font> <a href="relat_1.html#K7" title="RELAT_1:func.7">|</a> the <a href="struct_0.html#U4" title="STRUCT_0:sel.4">carrier'</a> of <font color="Maroon" title="c2">It1</font>
 
<span class="kw">by</span> <span class="lab"><a class="txt" href="#E2:81_1_2"><span class="lab"><font color="Green" title="E57">A24</font></span></a>, <a class="txt" href="#E4:81_1_2"><span class="lab"><font color="Green" title="E59">A26</font></span></a>, <a class="ref" href="nattra_1.html#T8" target="_self" title="NATTRA_1:th.8">Th8</a></span>;<br/>
<a NAME="E6:81_1_2"/><span class="lab"><font color="Green" title="E61">A28</font></span>: 
the <a href="cat_1.html#U1" title="CAT_1:sel.1">Comp</a> of <font color="Maroon" title="c3">It2</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> the <a href="cat_1.html#U1" title="CAT_1:sel.1">Comp</a> of <font color="Maroon" title="c1">C</font> <a href="realset1.html#K1" title="REALSET1:func.1">||</a> the <a href="struct_0.html#U4" title="STRUCT_0:sel.4">carrier'</a> of <font color="Maroon" title="c2">It1</font>
 
<span class="kw">by</span> <span class="lab"><a class="txt" href="#E2:81_1_2"><span class="lab"><font color="Green" title="E57">A24</font></span></a>, <a class="txt" href="#E4:81_1_2"><span class="lab"><font color="Green" title="E59">A26</font></span></a>, <a class="ref" href="nattra_1.html#T8" target="_self" title="NATTRA_1:th.8">Th8</a></span>;<br/>
<a NAME="E7:81_1_2"/><span class="lab"><font color="Green" title="E62">A29</font></span>: 
the <a href="graph_1.html#U1" title="GRAPH_1:sel.1">Source</a> of <font color="Maroon" title="c2">It1</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> the <a href="graph_1.html#U1" title="GRAPH_1:sel.1">Source</a> of <font color="Maroon" title="c1">C</font> <a href="relat_1.html#K7" title="RELAT_1:func.7">|</a> the <a href="struct_0.html#U4" title="STRUCT_0:sel.4">carrier'</a> of <font color="Maroon" title="c2">It1</font>
 
<span class="kw">by</span> <span class="lab"><a class="ref" href="nattra_1.html#T8" target="_self" title="NATTRA_1:th.8">Th8</a></span>;<br/>
<a NAME="E8:81_1_2"/><span class="lab"><font color="Green" title="E63">A30</font></span>: 
the <a href="cat_1.html#U2" title="CAT_1:sel.2">Id</a> of <font color="Maroon" title="c2">It1</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> the <a href="cat_1.html#U2" title="CAT_1:sel.2">Id</a> of <font color="Maroon" title="c1">C</font> <a href="relat_1.html#K7" title="RELAT_1:func.7">|</a> the <a href="struct_0.html#U1" title="STRUCT_0:sel.1">carrier</a> of <font color="Maroon" title="c2">It1</font>
 
<span class="kw">by</span> <span class="lab"><a class="ref" href="nattra_1.html#T8" target="_self" title="NATTRA_1:th.8">Th8</a></span>;<br/>
<a NAME="E9:81_1_2"/><span class="lab"><font color="Green" title="E64">A31</font></span>: 
the <a href="cat_1.html#U1" title="CAT_1:sel.1">Comp</a> of <font color="Maroon" title="c2">It1</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> the <a href="cat_1.html#U1" title="CAT_1:sel.1">Comp</a> of <font color="Maroon" title="c1">C</font> <a href="realset1.html#K1" title="REALSET1:func.1">||</a> the <a href="struct_0.html#U4" title="STRUCT_0:sel.4">carrier'</a> of <font color="Maroon" title="c2">It1</font>
 
<span class="kw">by</span> <span class="lab"><a class="ref" href="nattra_1.html#T8" target="_self" title="NATTRA_1:th.8">Th8</a></span>;<br/>
<a NAME="E10:81_1_2"/><span class="lab"><font color="Green" title="E65">A32</font></span>: 
the <a href="graph_1.html#U2" title="GRAPH_1:sel.2">Target</a> of <font color="Maroon" title="c2">It1</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> the <a href="graph_1.html#U2" title="GRAPH_1:sel.2">Target</a> of <font color="Maroon" title="c1">C</font> <a href="relat_1.html#K7" title="RELAT_1:func.7">|</a> the <a href="struct_0.html#U4" title="STRUCT_0:sel.4">carrier'</a> of <font color="Maroon" title="c2">It1</font>
 
<span class="kw">by</span> <span class="lab"><a class="ref" href="nattra_1.html#T8" target="_self" title="NATTRA_1:th.8">Th8</a></span>;<br/>
<a NAME="E11:81_1_2"/>
the <a href="graph_1.html#U1" title="GRAPH_1:sel.1">Source</a> of <font color="Maroon" title="c3">It2</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> the <a href="graph_1.html#U1" title="GRAPH_1:sel.1">Source</a> of <font color="Maroon" title="c1">C</font> <a href="relat_1.html#K7" title="RELAT_1:func.7">|</a> the <a href="struct_0.html#U4" title="STRUCT_0:sel.4">carrier'</a> of <font color="Maroon" title="c2">It1</font>
 
<span class="kw">by</span> <span class="lab"><a class="txt" href="#E2:81_1_2"><span class="lab"><font color="Green" title="E57">A24</font></span></a>, <a class="txt" href="#E4:81_1_2"><span class="lab"><font color="Green" title="E59">A26</font></span></a>, <a class="ref" href="nattra_1.html#T8" target="_self" title="NATTRA_1:th.8">Th8</a></span>;<br/>
<span class="kw">hence </span><a NAME="E12:81_1_2"/>
<font color="Maroon" title="c2">It1</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c3">It2</font>
 <span class="kw">by</span> <span class="lab"><a class="txt" href="#E1:81_1_2"><span class="lab"><font color="Green" title="E56">A23</font></span></a>, <a class="txt" href="#E2:81_1_2"><span class="lab"><font color="Green" title="E57">A24</font></span></a>, <a class="txt" href="#E3:81_1_2"><span class="lab"><font color="Green" title="E58">A25</font></span></a>, <a class="txt" href="#E4:81_1_2"><span class="lab"><font color="Green" title="E59">A26</font></span></a>, <a class="txt" href="#E7:81_1_2"><span class="lab"><font color="Green" title="E62">A29</font></span></a>, <a class="txt" href="#E10:81_1_2"><span class="lab"><font color="Green" title="E65">A32</font></span></a>, <a class="txt" href="#E5:81_1_2"><span class="lab"><font color="Green" title="E60">A27</font></span></a>, <a class="txt" href="#E9:81_1_2"><span class="lab"><font color="Green" title="E64">A31</font></span></a>, <a class="txt" href="#E6:81_1_2"><span class="lab"><font color="Green" title="E61">A28</font></span></a>, <a class="txt" href="#E8:81_1_2"><span class="lab"><font color="Green" title="E63">A30</font></span></a>, <a class="ref" href="nattra_1.html#T8" target="_self" title="NATTRA_1:th.8">Th8</a></span>; <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="Red">::  thesis: </font></span></a><span class="hide"> verum</span><br/>


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