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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_2.html#V1">reflexive</a>  <a href="altcat_1.html#L1">AltGraph</a> , <font color="Maroon">B</font> be  non <a href="struct_0.html#V3">empty</a> <a href="altcat_2.html#V1">reflexive</a>  <a href="altcat_1.html#L1">AltGraph</a> , <font color="Maroon">C</font> be  non <a href="struct_0.html#V3">empty</a> <a href="altcat_2.html#V1">reflexive</a>  <a href="altcat_1.html#L1">AltGraph</a> ;<br/><b>let </b><font color="Maroon">F1</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>, <font color="Maroon">F2</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>let </b><font color="Maroon">G1</font> be    <a href="functor0.html#L2">FunctorStr</a> of <font color="Maroon">B</font>,<font color="Maroon">C</font>, <font color="Maroon">G2</font> be    <a href="functor0.html#L2">FunctorStr</a> of <font color="Maroon">B</font>,<font color="Maroon">C</font>;<br/>





<b>assume </b><a NAME="E1:19"/><i><font color="Green">E35</font></i>: 
(  <a href="functor0.html#G2">FunctorStr</a>(# the <a href="functor0.html#U1">ObjectMap</a> of <font color="Maroon">F1</font>,the <a href="functor0.html#U2">MorphMap</a> of <font color="Maroon">F1</font> #) <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">F2</font>,the <a href="functor0.html#U2">MorphMap</a> of <font color="Maroon">F2</font> #) &amp;  <a href="functor0.html#G2">FunctorStr</a>(# the <a href="functor0.html#U1">ObjectMap</a> of <font color="Maroon">G1</font>,the <a href="functor0.html#U2">MorphMap</a> of <font color="Maroon">G1</font> #) <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">G2</font>,the <a href="functor0.html#U2">MorphMap</a> of <font color="Maroon">G2</font> #) )
 ;<br/>

<a NAME="E2:19"/>
( the <a href="functor0.html#U1">ObjectMap</a> of <span class="p1">(<span class="default"><font color="Maroon">G1</font> <a href="functor0.html#K13">*</a> <font color="Maroon">F1</font></span>)</span> <a href="funct_2.html#R2">=</a> the <a href="functor0.html#U1">ObjectMap</a> of <font color="Maroon">G1</font> <a href="partfun1.html#K1">*</a> the <a href="functor0.html#U1">ObjectMap</a> of <font color="Maroon">F1</font> &amp; the <a href="functor0.html#U2">MorphMap</a> of <span class="p1">(<span class="default"><font color="Maroon">G1</font> <a href="functor0.html#K13">*</a> <font color="Maroon">F1</font></span>)</span> <a href="pboole.html#R6">=</a> <span class="p1">(<span class="default">the <a href="functor0.html#U2">MorphMap</a> of <font color="Maroon">G1</font> <a href="pboole.html#K7">*</a> the <a href="functor0.html#U1">ObjectMap</a> of <font color="Maroon">F1</font></span>)</span> <a href="altcat_2.html#K3">**</a> the <a href="functor0.html#U2">MorphMap</a> of <font color="Maroon">F1</font> )
 
<b>by </b><i><a class="ref" href="functor0.html#D37">FUNCTOR0:def 37</a></i>;<br/>
<b>hence </b><a NAME="E3:19"/>
<font color="Maroon">G1</font> <a href="functor0.html#K13">*</a> <font color="Maroon">F1</font> <a href="hidden.html#R1">=</a> <font color="Maroon">G2</font> <a href="functor0.html#K13">*</a> <font color="Maroon">F2</font>
 <b>by </b><i>, <a class="ref" href="functor0.html#D37">FUNCTOR0:def 37</a></i>;<br/>


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