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<b>let </b><font color="Maroon">A</font> be  non <a href="struct_0.html#V3">empty</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#L2">AltCatStr</a> ;<br/>

<b>assume </b><b>that </b><br/><a NAME="E1:26"/>
the <a href="struct_0.html#U1">carrier</a> of <font color="Maroon">B</font> <a href="hidden.html#R1">=</a> the <a href="struct_0.html#U1">carrier</a> of <font color="Maroon">A</font>
 <b>and </b><br/><a NAME="E2:26"/><i><font color="Green">E35</font></i>: 
the <a href="altcat_1.html#U1">Arrows</a> of <font color="Maroon">B</font> <a href="hidden.html#R1">=</a>  <a href="altcat_2.html#K1">~</a> the <a href="altcat_1.html#U1">Arrows</a> of <font color="Maroon">A</font>
 ; <i><font color="Red">:: according to </font></i><a class="ref" href="yellow18.html#D3" target="_self">YELLOW18:def 3</a><br/>

<b>assume </b><a NAME="E3:26"/>
for <font color="Olive">a</font>, <font color="Olive">b</font>, <font color="Olive">c</font> being  <a href="altcat_1.html#NM1">object</a> of <font color="Maroon">A</font><br/> for <font color="Olive">a'</font>, <font color="Olive">b'</font>, <font color="Olive">c'</font> being  <a href="altcat_1.html#NM1">object</a> of <font color="Maroon">B</font>  st <font color="Olive">a'</font> <a href="hidden.html#R1">=</a> <font color="Olive">a</font> &amp; <font color="Olive">b'</font> <a href="hidden.html#R1">=</a> <font color="Olive">b</font> &amp; <font color="Olive">c'</font> <a href="hidden.html#R1">=</a> <font color="Olive">c</font> holds <br/>the <a href="altcat_1.html#U2">Comp</a> of <font color="Maroon">B</font> <a href="altcat_1.html#K4">.</a> <font color="Olive">a'</font>,<font color="Olive">b'</font>,<font color="Olive">c'</font> <a href="hidden.html#R1">=</a>  <a href="functor0.html#K1">~</a> <span class="p1">(<span class="default">the <a href="altcat_1.html#U2">Comp</a> of <font color="Maroon">A</font> <a href="altcat_1.html#K4">.</a> <font color="Olive">c</font>,<font color="Olive">b</font>,<font color="Olive">a</font></span>)</span>
 ;<br/>

<b>let </b><font color="Maroon">a</font> be   <a href="altcat_1.html#NM1">object</a> of <font color="Maroon">A</font>, <font color="Maroon">b</font> be   <a href="altcat_1.html#NM1">object</a> of <font color="Maroon">A</font>;<br/><b>let </b><font color="Maroon">a'</font> be   <a href="altcat_1.html#NM1">object</a> of <font color="Maroon">B</font>, <font color="Maroon">b'</font> be   <a href="altcat_1.html#NM1">object</a> of <font color="Maroon">B</font>;<br/>



<b>thus </b><a NAME="E4:26"/>
( <font color="Maroon">a'</font> <a href="hidden.html#R1">=</a> <font color="Maroon">a</font> &amp; <font color="Maroon">b'</font> <a href="hidden.html#R1">=</a> <font color="Maroon">b</font> implies <span class="p1"><a href="altcat_1.html#K1">&lt;^</a><span class="default"><font color="Maroon">a</font>,<font color="Maroon">b</font></span><a href="altcat_1.html#K1">^&gt;</a></span> <a href="hidden.html#R1">=</a> <span class="p1"><a href="altcat_1.html#K1">&lt;^</a><span class="default"><font color="Maroon">b'</font>,<font color="Maroon">a'</font></span><a href="altcat_1.html#K1">^&gt;</a></span> )
 <b>by </b><i>, <a class="ref" href="altcat_2.html#T6">ALTCAT_2:6</a></i>;<br/>


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