<?xml version="1.0"?>
<div class="add">

<b>let </b><font color="Maroon">A</font> be  non <a href="struct_0.html#V3">empty</a> <a href="altcat_1.html#V2">transitive</a> <a href="altcat_1.html#V12">with_units</a> <a href="altcat_2.html#V1">reflexive</a>  <a href="altcat_1.html#L2">AltCatStr</a> , <font color="Maroon">B</font> be  non <a href="struct_0.html#V3">empty</a> <a href="altcat_1.html#V2">transitive</a> <a href="altcat_1.html#V12">with_units</a> <a href="altcat_2.html#V1">reflexive</a>  <a href="altcat_1.html#L2">AltCatStr</a> ;<br/><b>let </b><font color="Maroon">F</font> be  <a href="functor0.html#V8">feasible</a>  <a href="functor0.html#L2">FunctorStr</a> of <font color="Maroon">A</font>,<font color="Maroon">B</font>;<br/>



<b>assume </b><a NAME="E1:25"/><i><font color="Green">E29</font></i>: 
<font color="Maroon">F</font> is <a href="functor0.html#V21">bijective</a>
 ;<br/>

<b>set </b><font color="Maroon">CCA</font> = <span class="p1"><a href="zfmisc_1.html#K2">[:</a><span class="default">the <a href="struct_0.html#U1">carrier</a> of <font color="Maroon">A</font>,the <a href="struct_0.html#U1">carrier</a> of <font color="Maroon">A</font></span><a href="zfmisc_1.html#K2">:]</a></span>;<br/>
<b>set </b><font color="Maroon">CCB</font> = <span class="p1"><a href="zfmisc_1.html#K2">[:</a><span class="default">the <a href="struct_0.html#U1">carrier</a> of <font color="Maroon">B</font>,the <a href="struct_0.html#U1">carrier</a> of <font color="Maroon">B</font></span><a href="zfmisc_1.html#K2">:]</a></span>;<br/>
<a NAME="E2:25"/><i><font color="Green">E31</font></i>: 
<font color="Maroon">F</font> <a href="functor0.html#K15">"</a>  is <a href="functor0.html#V21">bijective</a>
 
<b>by </b><i>, <a class="ref" href="functor0.html#T36">FUNCTOR0:36</a></i>;<br/>
<a NAME="E3:25"/><b>then </b><i><font color="Green">E34</font></i>: 
<font color="Maroon">F</font> <a href="functor0.html#K15">"</a>  is <a href="functor0.html#V20">surjective</a>
 
<b>by </b><i><a class="ref" href="functor0.html#D36">FUNCTOR0:def 36</a></i>;<br/>
<a NAME="E4:25"/><i><font color="Green">E35</font></i>: 
<font color="Maroon">F</font> is <a href="functor0.html#V19">injective</a>
 
<b>by </b><i>, <a class="ref" href="functor0.html#D36">FUNCTOR0:def 36</a></i>;<br/>
<a NAME="E5:25"/><b>then </b>
<font color="Maroon">F</font> is <a href="functor0.html#V4">one-to-one</a>
 
<b>by </b><i><a class="ref" href="functor0.html#D34">FUNCTOR0:def 34</a></i>;<br/>
<a NAME="E6:25"/><b>then </b><i><font color="Green">E36</font></i>: 
the <a href="functor0.html#U1">ObjectMap</a> of <font color="Maroon">F</font> is <a href="funct_1.html#V2">one-to-one</a>
 
<b>by </b><i><a class="ref" href="functor0.html#D7">FUNCTOR0:def 7</a></i>;<br/>
<a NAME="E7:25"/><i><font color="Green">E37</font></i>: 
<font color="Maroon">F</font> is <a href="functor0.html#V20">surjective</a>
 
<b>by </b><i>, <a class="ref" href="functor0.html#D36">FUNCTOR0:def 36</a></i>;<br/>
<a NAME="E8:25"/><b>then </b>
<font color="Maroon">F</font> is <a href="functor0.html#V5">onto</a>
 
<b>by </b><i><a class="ref" href="functor0.html#D35">FUNCTOR0:def 35</a></i>;<br/>
<a NAME="E9:25"/><b>then </b>
the <a href="functor0.html#U1">ObjectMap</a> of <font color="Maroon">F</font> is <a href="funct_2.html#V2">onto</a>
 
<b>by </b><i><a class="ref" href="functor0.html#D8">FUNCTOR0:def 8</a></i>;<br/>
<a NAME="E10:25"/><b>then </b><i><font color="Green">E38</font></i>: 
 <a href="relat_1.html#K2">rng</a> the <a href="functor0.html#U1">ObjectMap</a> of <font color="Maroon">F</font> <a href="hidden.html#R1">=</a> <span class="p1"><a href="zfmisc_1.html#K2">[:</a><span class="default">the <a href="struct_0.html#U1">carrier</a> of <font color="Maroon">B</font>,the <a href="struct_0.html#U1">carrier</a> of <font color="Maroon">B</font></span><a href="zfmisc_1.html#K2">:]</a></span>
 
<b>by </b><i><a class="ref" href="funct_2.html#D3">FUNCT_2:def 3</a></i>;<br/>
<a NAME="E11:25"/>
<font color="Maroon">F</font> is <a href="functor0.html#V17">faithful</a>
 
<b>by </b><i>, <a class="ref" href="functor0.html#D34">FUNCTOR0:def 34</a></i>;<br/>
<a NAME="E12:25"/><b>then </b><i><font color="Green">E43</font></i>: 
the <a href="functor0.html#U2">MorphMap</a> of <font color="Maroon">F</font> is <a href="msualg_3.html#V1">"1-1"</a>
 
<b>by </b><i><a class="ref" href="functor0.html#D31">FUNCTOR0:def 31</a></i>;<br/>
<a NAME="E13:25"/><i><font color="Green">E44</font></i>: 
<font color="Maroon">F</font> is <a href="functor0.html#V18">full</a>
 
<b>by </b><i>, <a class="ref" href="functor0.html#D35">FUNCTOR0:def 35</a></i>;<br/>
<a NAME="E14:25"/><i><font color="Green">E45</font></i>: 
<font color="Maroon">F</font> <a href="functor0.html#K15">"</a>  is <a href="functor0.html#V18">full</a>
 
<b>by </b><i>, <a class="ref" href="functor0.html#D35">FUNCTOR0:def 35</a></i>;<br/>
<a NAME="E15:25"/>
<font color="Maroon">F</font> <a href="functor0.html#K15">"</a>  is <a href="functor0.html#V19">injective</a>
 
<b>by </b><i>, <a class="ref" href="functor0.html#D36">FUNCTOR0:def 36</a></i>;<br/>
<a NAME="E16:25"/><b>then </b><i><font color="Green">E46</font></i>: 
<font color="Maroon">F</font> <a href="functor0.html#K15">"</a>  is <a href="functor0.html#V17">faithful</a>
 
<b>by </b><i><a class="ref" href="functor0.html#D34">FUNCTOR0:def 34</a></i>;<br/>
<i><font color="Green">E49</font></i>: the <a href="functor0.html#U1">ObjectMap</a> of <span class="p1">(<span class="default"><font color="Maroon">F</font> <a href="functor0.html#K15">"</a> </span>)</span> <a href="funct_1.html#K2">"</a>  = 
<span class="p1">(<span class="default">the <a href="functor0.html#U1">ObjectMap</a> of <font color="Maroon">F</font> <a href="funct_1.html#K2">"</a> </span>)</span> <a href="funct_1.html#K2">"</a> 
<b>by </b><i>, <a class="ref" href="functor0.html#D39">FUNCTOR0:def 39</a></i>
<br/>.= 
the <a href="functor0.html#U1">ObjectMap</a> of <font color="Maroon">F</font>
<b>by </b><i>, <a class="ref" href="funct_1.html#T65">FUNCT_1:65</a></i>
;<br/>
<a NAME="E18:25"/>
the <a href="functor0.html#U2">MorphMap</a> of <span class="p1">(<span class="default"><span class="p2">(<span class="default"><font color="Maroon">F</font> <a href="functor0.html#K15">"</a> </span>)</span> <a href="functor0.html#K15">"</a> </span>)</span> <a href="pboole.html#R6">=</a> the <a href="functor0.html#U2">MorphMap</a> of <font color="Maroon">F</font>
 
<div><a class="txt" onclick="hs2(this)" href="javascript:()" title="25_2"><b>proof </b></a><div class="add">

<b>consider </b><font color="Maroon">f</font> being    <a href="pboole.html#M3">ManySortedFunction</a> of the <a href="altcat_1.html#U1">Arrows</a> of <font color="Maroon">B</font>,the <a href="altcat_1.html#U1">Arrows</a> of <font color="Maroon">A</font> <a href="pboole.html#K7">*</a> the <a href="functor0.html#U1">ObjectMap</a> of <span class="p1">(<span class="default"><font color="Maroon">F</font> <a href="functor0.html#K15">"</a> </span>)</span><b> such that </b><br/><a NAME="E2:25_2"/><i><font color="Green">E50</font></i>: 
( <font color="Maroon">f</font> <a href="pboole.html#R6">=</a> the <a href="functor0.html#U2">MorphMap</a> of <span class="p1">(<span class="default"><font color="Maroon">F</font> <a href="functor0.html#K15">"</a> </span>)</span> &amp; the <a href="functor0.html#U2">MorphMap</a> of <span class="p1">(<span class="default"><span class="p2">(<span class="default"><font color="Maroon">F</font> <a href="functor0.html#K15">"</a> </span>)</span> <a href="functor0.html#K15">"</a> </span>)</span> <a href="hidden.html#R1">=</a> <span class="p1">(<span class="default"><font color="Maroon">f</font> <a href="msualg_3.html#K4">""</a> </span>)</span> <a href="funct_1.html#NK3" target="_self">*</a> <span class="p1">(<span class="default">the <a href="functor0.html#U1">ObjectMap</a> of <span class="p2">(<span class="default"><font color="Maroon">F</font> <a href="functor0.html#K15">"</a> </span>)</span> <a href="funct_1.html#K2">"</a> </span>)</span> )
 <b>by </b><i>, <a class="ref" href="functor0.html#D39">FUNCTOR0:def 39</a></i>;<br/>
<b>consider </b><font color="Maroon">g</font> being    <a href="pboole.html#M3">ManySortedFunction</a> of the <a href="altcat_1.html#U1">Arrows</a> of <font color="Maroon">A</font>,the <a href="altcat_1.html#U1">Arrows</a> of <font color="Maroon">B</font> <a href="pboole.html#K7">*</a> the <a href="functor0.html#U1">ObjectMap</a> of <font color="Maroon">F</font><b> such that </b><br/><a NAME="E4:25_2"/><i><font color="Green">E76</font></i>: 
( <font color="Maroon">g</font> <a href="pboole.html#R6">=</a> the <a href="functor0.html#U2">MorphMap</a> of <font color="Maroon">F</font> &amp; the <a href="functor0.html#U2">MorphMap</a> of <span class="p1">(<span class="default"><font color="Maroon">F</font> <a href="functor0.html#K15">"</a> </span>)</span> <a href="hidden.html#R1">=</a> <span class="p1">(<span class="default"><font color="Maroon">g</font> <a href="msualg_3.html#K4">""</a> </span>)</span> <a href="funct_1.html#NK3" target="_self">*</a> <span class="p1">(<span class="default">the <a href="functor0.html#U1">ObjectMap</a> of <font color="Maroon">F</font> <a href="funct_1.html#K2">"</a> </span>)</span> )
 <b>by </b><i>, <a class="ref" href="functor0.html#D39">FUNCTOR0:def 39</a></i>;<br/>
<b>consider </b><font color="Maroon">k</font> being    <a href="pboole.html#M3">ManySortedFunction</a> of the <a href="altcat_1.html#U1">Arrows</a> of <font color="Maroon">A</font>,the <a href="altcat_1.html#U1">Arrows</a> of <font color="Maroon">B</font> <a href="pboole.html#K7">*</a> the <a href="functor0.html#U1">ObjectMap</a> of <font color="Maroon">F</font><b> such that </b><br/><a NAME="E6:25_2"/><i><font color="Green">E78</font></i>: 
( <font color="Maroon">k</font> <a href="pboole.html#R6">=</a> the <a href="functor0.html#U2">MorphMap</a> of <font color="Maroon">F</font> &amp; <font color="Maroon">k</font> is <a href="msualg_3.html#V2">"onto"</a> )
 <b>by </b><i>, <a class="ref" href="functor0.html#D33">FUNCTOR0:def 33</a></i>;<br/>
<b>consider </b><font color="Maroon">kk</font> being    <a href="pboole.html#M3">ManySortedFunction</a> of the <a href="altcat_1.html#U1">Arrows</a> of <font color="Maroon">B</font>,the <a href="altcat_1.html#U1">Arrows</a> of <font color="Maroon">A</font> <a href="pboole.html#K7">*</a> the <a href="functor0.html#U1">ObjectMap</a> of <span class="p1">(<span class="default"><font color="Maroon">F</font> <a href="functor0.html#K15">"</a> </span>)</span><b> such that </b><br/><a NAME="E8:25_2"/><i><font color="Green">E79</font></i>: 
( <font color="Maroon">kk</font> <a href="pboole.html#R6">=</a> the <a href="functor0.html#U2">MorphMap</a> of <span class="p1">(<span class="default"><font color="Maroon">F</font> <a href="functor0.html#K15">"</a> </span>)</span> &amp; <font color="Maroon">kk</font> is <a href="msualg_3.html#V2">"onto"</a> )
 <b>by </b><i>, <a class="ref" href="functor0.html#D33">FUNCTOR0:def 33</a></i>;<br/>
<a NAME="E9:25_2"/><i><font color="Green">E80</font></i>: 
<font color="Maroon">f</font> is <a href="msualg_3.html#V1">"1-1"</a>
 
<b>by </b><i>, , <a class="ref" href="functor0.html#D31">FUNCTOR0:def 31</a></i>;<br/>
<a NAME="E10:25_2"/>
for <font color="Olive">i</font> being   <a href="hidden.html#M1">set</a>   st <font color="Olive">i</font> <a href="hidden.html#R2">in</a> <span class="p1"><a href="zfmisc_1.html#K2">[:</a><span class="default">the <a href="struct_0.html#U1">carrier</a> of <font color="Maroon">A</font>,the <a href="struct_0.html#U1">carrier</a> of <font color="Maroon">A</font></span><a href="zfmisc_1.html#K2">:]</a></span> holds <br/><span class="p1">(<span class="default"><span class="p2">(<span class="default"><font color="Maroon">f</font> <a href="msualg_3.html#K4">""</a> </span>)</span> <a href="funct_1.html#NK3" target="_self">*</a> <span class="p2">(<span class="default">the <a href="functor0.html#U1">ObjectMap</a> of <span class="p3">(<span class="default"><font color="Maroon">F</font> <a href="functor0.html#K15">"</a> </span>)</span> <a href="funct_1.html#K2">"</a> </span>)</span></span>)</span> <a href="funct_1.html#K1">.</a> <font color="Olive">i</font> <a href="hidden.html#R1">=</a> the <a href="functor0.html#U2">MorphMap</a> of <font color="Maroon">F</font> <a href="funct_1.html#K1">.</a> <font color="Olive">i</font>
 
<div><a class="txt" onclick="hs2(this)" href="javascript:()" title="25_2_1"><b>proof </b></a><div class="add">

<b>let </b><font color="Maroon">i</font> be    <a href="hidden.html#M1">set</a> ;<br/>

<b>assume </b><a NAME="E1:25_2_1"/><i><font color="Green">E81</font></i>: 
<font color="Maroon">i</font> <a href="hidden.html#R2">in</a> <span class="p1"><a href="zfmisc_1.html#K2">[:</a><span class="default">the <a href="struct_0.html#U1">carrier</a> of <font color="Maroon">A</font>,the <a href="struct_0.html#U1">carrier</a> of <font color="Maroon">A</font></span><a href="zfmisc_1.html#K2">:]</a></span>
 ;<br/>

<a NAME="E2:25_2_1"/><b>then </b><i><font color="Green">E82</font></i>: 
the <a href="functor0.html#U1">ObjectMap</a> of <font color="Maroon">F</font> <a href="funct_1.html#K1">.</a> <font color="Maroon">i</font> <a href="hidden.html#R2">in</a> <span class="p1"><a href="zfmisc_1.html#K2">[:</a><span class="default">the <a href="struct_0.html#U1">carrier</a> of <font color="Maroon">B</font>,the <a href="struct_0.html#U1">carrier</a> of <font color="Maroon">B</font></span><a href="zfmisc_1.html#K2">:]</a></span>
 
<b>by </b><i><a class="ref" href="funct_2.html#T7">FUNCT_2:7</a></i>;<br/>
<a NAME="E3:25_2_1"/>
the <a href="functor0.html#U1">ObjectMap</a> of <font color="Maroon">F</font> <a href="funct_1.html#K2">"</a>  is   <a href="funct_2.html#NM1">Function</a> of <span class="p1"><a href="zfmisc_1.html#K2">[:</a><span class="default">the <a href="struct_0.html#U1">carrier</a> of <font color="Maroon">B</font>,the <a href="struct_0.html#U1">carrier</a> of <font color="Maroon">B</font></span><a href="zfmisc_1.html#K2">:]</a></span>,<span class="p1"><a href="zfmisc_1.html#K2">[:</a><span class="default">the <a href="struct_0.html#U1">carrier</a> of <font color="Maroon">A</font>,the <a href="struct_0.html#U1">carrier</a> of <font color="Maroon">A</font></span><a href="zfmisc_1.html#K2">:]</a></span>
 
<b>by </b><i>, , <a class="ref" href="funct_2.html#T31">FUNCT_2:31</a></i>;<br/>
<a NAME="E4:25_2_1"/><b>then </b><i><font color="Green">E83</font></i>: 
<span class="p1">(<span class="default">the <a href="functor0.html#U1">ObjectMap</a> of <font color="Maroon">F</font> <a href="funct_1.html#K2">"</a> </span>)</span> <a href="funct_1.html#K1">.</a> <span class="p1">(<span class="default">the <a href="functor0.html#U1">ObjectMap</a> of <font color="Maroon">F</font> <a href="funct_1.html#K1">.</a> <font color="Maroon">i</font></span>)</span> <a href="hidden.html#R2">in</a> <span class="p1"><a href="zfmisc_1.html#K2">[:</a><span class="default">the <a href="struct_0.html#U1">carrier</a> of <font color="Maroon">A</font>,the <a href="struct_0.html#U1">carrier</a> of <font color="Maroon">A</font></span><a href="zfmisc_1.html#K2">:]</a></span>
 
<b>by </b><i><a class="ref" href="functor1.html#T3" target="_self">Th3</a>, <a class="ref" href="funct_2.html#T7">FUNCT_2:7</a></i>;<br/>
<a NAME="E5:25_2_1"/><i><font color="Green">E84</font></i>: 
the <a href="functor0.html#U1">ObjectMap</a> of <font color="Maroon">F</font> <a href="funct_1.html#K2">"</a>  is   <a href="funct_2.html#NM1">Function</a> of <span class="p1"><a href="zfmisc_1.html#K2">[:</a><span class="default">the <a href="struct_0.html#U1">carrier</a> of <font color="Maroon">B</font>,the <a href="struct_0.html#U1">carrier</a> of <font color="Maroon">B</font></span><a href="zfmisc_1.html#K2">:]</a></span>,<span class="p1"><a href="zfmisc_1.html#K2">[:</a><span class="default">the <a href="struct_0.html#U1">carrier</a> of <font color="Maroon">A</font>,the <a href="struct_0.html#U1">carrier</a> of <font color="Maroon">A</font></span><a href="zfmisc_1.html#K2">:]</a></span>
 
<b>by </b><i>, , <a class="ref" href="funct_2.html#T31">FUNCT_2:31</a></i>;<br/>
<a NAME="E6:25_2_1"/><i><font color="Green">E85</font></i>: 
<font color="Maroon">g</font> <a href="funct_1.html#K1">.</a> <font color="Maroon">i</font> is <a href="funct_1.html#V2">one-to-one</a>
 
<b>by </b><i>, , <a class="txt" href="functor1.html#E1:25"><i><font color="Green">E29</font></i></a>, <a class="ref" href="msualg_3.html#T1">MSUALG_3:1</a></i>;<br/>
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><font color="Maroon">f</font> <a href="msualg_3.html#K4">""</a> </span>)</span> <a href="funct_1.html#NK3" target="_self">*</a> <span class="p2">(<span class="default">the <a href="functor0.html#U1">ObjectMap</a> of <span class="p3">(<span class="default"><font color="Maroon">F</font> <a href="functor0.html#K15">"</a> </span>)</span> <a href="funct_1.html#K2">"</a> </span>)</span></span>)</span> <a href="funct_1.html#K1">.</a> <font color="Maroon">i</font> = 
<span class="p1">(<span class="default"><font color="Maroon">f</font> <a href="msualg_3.html#K4">""</a> </span>)</span> <a href="funct_1.html#K1">.</a> <span class="p1">(<span class="default">the <a href="functor0.html#U1">ObjectMap</a> of <font color="Maroon">F</font> <a href="funct_1.html#K1">.</a> <font color="Maroon">i</font></span>)</span>
<b>by </b><i>, <a class="txt" href="functor1.html#E1:25"><i><font color="Green">E29</font></i></a>, <a class="ref" href="funct_2.html#T21">FUNCT_2:21</a></i>
<br/>.= 
<span class="p1">(<span class="default">the <a href="functor0.html#U2">MorphMap</a> of <span class="p2">(<span class="default"><font color="Maroon">F</font> <a href="functor0.html#K15">"</a> </span>)</span> <a href="funct_1.html#K1">.</a> <span class="p2">(<span class="default">the <a href="functor0.html#U1">ObjectMap</a> of <font color="Maroon">F</font> <a href="funct_1.html#K1">.</a> <font color="Maroon">i</font></span>)</span></span>)</span> <a href="funct_1.html#K2">"</a> 
<b>by </b><i>, , , <a class="ref" href="functor1.html#T3" target="_self">Th3</a>, <a class="ref" href="msualg_3.html#D5">MSUALG_3:def 5</a></i>
<br/>.= 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><font color="Maroon">g</font> <a href="msualg_3.html#K4">""</a> </span>)</span> <a href="funct_1.html#K1">.</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default">the <a href="functor0.html#U1">ObjectMap</a> of <font color="Maroon">F</font> <a href="funct_1.html#K2">"</a> </span>)</span> <a href="funct_1.html#K1">.</a> <span class="p3">(<span class="default">the <a href="functor0.html#U1">ObjectMap</a> of <font color="Maroon">F</font> <a href="funct_1.html#K1">.</a> <font color="Maroon">i</font></span>)</span></span>)</span></span>)</span> <a href="funct_1.html#K2">"</a> 
<b>by </b><i>, <a class="ref" href="functor1.html#T3" target="_self">Th3</a>, , <a class="ref" href="funct_2.html#T21">FUNCT_2:21</a></i>
<br/>.= 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><font color="Maroon">g</font> <a href="funct_1.html#K1">.</a> <span class="p3">(<span class="default"><span class="p4">(<span class="default">the <a href="functor0.html#U1">ObjectMap</a> of <font color="Maroon">F</font> <a href="funct_1.html#K2">"</a> </span>)</span> <a href="funct_1.html#K1">.</a> <span class="p4">(<span class="default">the <a href="functor0.html#U1">ObjectMap</a> of <font color="Maroon">F</font> <a href="funct_1.html#K1">.</a> <font color="Maroon">i</font></span>)</span></span>)</span></span>)</span> <a href="funct_1.html#K2">"</a> </span>)</span> <a href="funct_1.html#K2">"</a> 
<b>by </b><i>, , , <a class="txt" href="functor1.html#E2:25"><i><font color="Green">E31</font></i></a>, <a class="ref" href="msualg_3.html#D5">MSUALG_3:def 5</a></i>
<br/>.= 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><font color="Maroon">g</font> <a href="funct_1.html#K1">.</a> <font color="Maroon">i</font></span>)</span> <a href="funct_1.html#K2">"</a> </span>)</span> <a href="funct_1.html#K2">"</a> 
<b>by </b><i>, <a class="txt" href="functor1.html#E1:25"><i><font color="Green">E29</font></i></a>, <a class="ref" href="funct_2.html#T32">FUNCT_2:32</a></i>
<br/>.= 
the <a href="functor0.html#U2">MorphMap</a> of <font color="Maroon">F</font> <a href="funct_1.html#K1">.</a> <font color="Maroon">i</font>
<b>by </b><i>, , <a class="ref" href="funct_1.html#T65">FUNCT_1:65</a></i>
;<br/>
<b>hence </b><a NAME="E8:25_2_1"/>
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><font color="Maroon">f</font> <a href="msualg_3.html#K4">""</a> </span>)</span> <a href="funct_1.html#NK3" target="_self">*</a> <span class="p2">(<span class="default">the <a href="functor0.html#U1">ObjectMap</a> of <span class="p3">(<span class="default"><font color="Maroon">F</font> <a href="functor0.html#K15">"</a> </span>)</span> <a href="funct_1.html#K2">"</a> </span>)</span></span>)</span> <a href="funct_1.html#K1">.</a> <font color="Maroon">i</font> <a href="hidden.html#R1">=</a> the <a href="functor0.html#U2">MorphMap</a> of <font color="Maroon">F</font> <a href="funct_1.html#K1">.</a> <font color="Maroon">i</font>
 ;<br/>


</div><b>end;</b></div>
<b>hence </b><a NAME="E11:25_2"/>
the <a href="functor0.html#U2">MorphMap</a> of <span class="p1">(<span class="default"><span class="p2">(<span class="default"><font color="Maroon">F</font> <a href="functor0.html#K15">"</a> </span>)</span> <a href="functor0.html#K15">"</a> </span>)</span> <a href="pboole.html#R6">=</a> the <a href="functor0.html#U2">MorphMap</a> of <font color="Maroon">F</font>
 <b>by </b><i>, <a class="ref" href="pboole.html#T3">PBOOLE:3</a></i>;<br/>


</div><b>end;</b></div>
<b>hence </b><a NAME="E19:25"/>
<span class="p1">(<span class="default"><font color="Maroon">F</font> <a href="functor0.html#K15">"</a> </span>)</span> <a href="functor0.html#K15">"</a>  <a href="hidden.html#R1">=</a>  <a href="functor0.html#G2">FunctorStr</a>(# the <a href="functor0.html#U1">ObjectMap</a> of <font color="Maroon">F</font>,the <a href="functor0.html#U2">MorphMap</a> of <font color="Maroon">F</font> #)
 <b>by </b><i>, , <a class="ref" href="functor0.html#D39">FUNCTOR0:def 39</a></i>;<br/>


</div>
