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<b>let </b><font color="Maroon">c<sub>1</sub></font> be  non <a href="struct_0.html#V3">empty</a>  <a href="altcat_1.html#L1">AltGraph</a> ;<br/><b>let </b><font color="Maroon">c<sub>2</sub></font>, <font color="Maroon">c<sub>3</sub></font>, <font color="Maroon">c<sub>4</sub></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">c<sub>5</sub></font> be  <a href="functor0.html#V8" target="_self">feasible</a>  <a href="functor0.html#L2" target="_self">FunctorStr</a> of <font color="Maroon">c<sub>1</sub></font>,<font color="Maroon">c<sub>2</sub></font>;<br/><b>let </b><font color="Maroon">c<sub>6</sub></font> be  <a href="functor0.html#V8" target="_self">feasible</a>  <a href="functor0.html#L2" target="_self">FunctorStr</a> of <font color="Maroon">c<sub>2</sub></font>,<font color="Maroon">c<sub>3</sub></font>;<br/><b>let </b><font color="Maroon">c<sub>7</sub></font> be    <a href="functor0.html#L2" target="_self">FunctorStr</a> of <font color="Maroon">c<sub>3</sub></font>,<font color="Maroon">c<sub>4</sub></font>;<br/>









<i><font color="Green">E63</font></i>: the <a href="functor0.html#U1" target="_self">ObjectMap</a> of <span class="p1">(<span class="default"><span class="p2">(<span class="default"><font color="Maroon">c<sub>7</sub></font> <a href="functor0.html#K13" target="_self">*</a> <font color="Maroon">c<sub>6</sub></font></span>)</span> <a href="functor0.html#K13" target="_self">*</a> <font color="Maroon">c<sub>5</sub></font></span>)</span> = 
the <a href="functor0.html#U1" target="_self">ObjectMap</a> of <span class="p1">(<span class="default"><font color="Maroon">c<sub>7</sub></font> <a href="functor0.html#K13" target="_self">*</a> <font color="Maroon">c<sub>6</sub></font></span>)</span> <a href="partfun1.html#K1">*</a> the <a href="functor0.html#U1" target="_self">ObjectMap</a> of <font color="Maroon">c<sub>5</sub></font>
<b>by </b><i><a class="ref" href="functor0.html#D37" target="_self">Def37</a></i>
<br/>.= 
<span class="p1">(<span class="default">the <a href="functor0.html#U1" target="_self">ObjectMap</a> of <font color="Maroon">c<sub>7</sub></font> <a href="partfun1.html#K1">*</a> the <a href="functor0.html#U1" target="_self">ObjectMap</a> of <font color="Maroon">c<sub>6</sub></font></span>)</span> <a href="partfun1.html#K1">*</a> the <a href="functor0.html#U1" target="_self">ObjectMap</a> of <font color="Maroon">c<sub>5</sub></font>
<b>by </b><i><a class="ref" href="functor0.html#D37" target="_self">Def37</a></i>
<br/>.= 
the <a href="functor0.html#U1" target="_self">ObjectMap</a> of <font color="Maroon">c<sub>7</sub></font> <a href="partfun1.html#K1">*</a> <span class="p1">(<span class="default">the <a href="functor0.html#U1" target="_self">ObjectMap</a> of <font color="Maroon">c<sub>6</sub></font> <a href="partfun1.html#K1">*</a> the <a href="functor0.html#U1" target="_self">ObjectMap</a> of <font color="Maroon">c<sub>5</sub></font></span>)</span>
<b>by </b><i><a class="ref" href="relat_1.html#T55">RELAT_1:55</a></i>
<br/>.= 
the <a href="functor0.html#U1" target="_self">ObjectMap</a> of <font color="Maroon">c<sub>7</sub></font> <a href="partfun1.html#K1">*</a> the <a href="functor0.html#U1" target="_self">ObjectMap</a> of <span class="p1">(<span class="default"><font color="Maroon">c<sub>6</sub></font> <a href="functor0.html#K13" target="_self">*</a> <font color="Maroon">c<sub>5</sub></font></span>)</span>
<b>by </b><i><a class="ref" href="functor0.html#D37" target="_self">Def37</a></i>
<br/>.= 
the <a href="functor0.html#U1" target="_self">ObjectMap</a> of <span class="p1">(<span class="default"><font color="Maroon">c<sub>7</sub></font> <a href="functor0.html#K13" target="_self">*</a> <span class="p2">(<span class="default"><font color="Maroon">c<sub>6</sub></font> <a href="functor0.html#K13" target="_self">*</a> <font color="Maroon">c<sub>5</sub></font></span>)</span></span>)</span>
<b>by </b><i><a class="ref" href="functor0.html#D37" target="_self">Def37</a></i>
;<br/>
the <a href="functor0.html#U2" target="_self">MorphMap</a> of <span class="p1">(<span class="default"><span class="p2">(<span class="default"><font color="Maroon">c<sub>7</sub></font> <a href="functor0.html#K13" target="_self">*</a> <font color="Maroon">c<sub>6</sub></font></span>)</span> <a href="functor0.html#K13" target="_self">*</a> <font color="Maroon">c<sub>5</sub></font></span>)</span> = 
<span class="p1">(<span class="default">the <a href="functor0.html#U2" target="_self">MorphMap</a> of <span class="p2">(<span class="default"><font color="Maroon">c<sub>7</sub></font> <a href="functor0.html#K13" target="_self">*</a> <font color="Maroon">c<sub>6</sub></font></span>)</span> <a href="pboole.html#K7">*</a> the <a href="functor0.html#U1" target="_self">ObjectMap</a> of <font color="Maroon">c<sub>5</sub></font></span>)</span> <a href="altcat_2.html#K3">**</a> the <a href="functor0.html#U2" target="_self">MorphMap</a> of <font color="Maroon">c<sub>5</sub></font>
<b>by </b><i><a class="ref" href="functor0.html#D37" target="_self">Def37</a></i>
<br/>.= 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default">the <a href="functor0.html#U2" target="_self">MorphMap</a> of <font color="Maroon">c<sub>7</sub></font> <a href="pboole.html#K7">*</a> the <a href="functor0.html#U1" target="_self">ObjectMap</a> of <font color="Maroon">c<sub>6</sub></font></span>)</span> <a href="altcat_2.html#K3">**</a> the <a href="functor0.html#U2" target="_self">MorphMap</a> of <font color="Maroon">c<sub>6</sub></font></span>)</span> <a href="pboole.html#K7">*</a> the <a href="functor0.html#U1" target="_self">ObjectMap</a> of <font color="Maroon">c<sub>5</sub></font></span>)</span> <a href="altcat_2.html#K3">**</a> the <a href="functor0.html#U2" target="_self">MorphMap</a> of <font color="Maroon">c<sub>5</sub></font>
<b>by </b><i><a class="ref" href="functor0.html#D37" target="_self">Def37</a></i>
<br/>.= 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default">the <a href="functor0.html#U2" target="_self">MorphMap</a> of <font color="Maroon">c<sub>7</sub></font> <a href="pboole.html#K7">*</a> the <a href="functor0.html#U1" target="_self">ObjectMap</a> of <font color="Maroon">c<sub>6</sub></font></span>)</span> <a href="pboole.html#K7">*</a> the <a href="functor0.html#U1" target="_self">ObjectMap</a> of <font color="Maroon">c<sub>5</sub></font></span>)</span> <a href="altcat_2.html#K3">**</a> <span class="p2">(<span class="default">the <a href="functor0.html#U2" target="_self">MorphMap</a> of <font color="Maroon">c<sub>6</sub></font> <a href="pboole.html#K7">*</a> the <a href="functor0.html#U1" target="_self">ObjectMap</a> of <font color="Maroon">c<sub>5</sub></font></span>)</span></span>)</span> <a href="altcat_2.html#K3">**</a> the <a href="functor0.html#U2" target="_self">MorphMap</a> of <font color="Maroon">c<sub>5</sub></font>
<b>by </b><i><a class="ref" href="functor0.html#T13" target="_self">Th13</a></i>
<br/>.= 
<span class="p1">(<span class="default"><span class="p2">(<span class="default">the <a href="functor0.html#U2" target="_self">MorphMap</a> of <font color="Maroon">c<sub>7</sub></font> <a href="pboole.html#K7">*</a> <span class="p3">(<span class="default">the <a href="functor0.html#U1" target="_self">ObjectMap</a> of <font color="Maroon">c<sub>6</sub></font> <a href="partfun1.html#K1">*</a> the <a href="functor0.html#U1" target="_self">ObjectMap</a> of <font color="Maroon">c<sub>5</sub></font></span>)</span></span>)</span> <a href="altcat_2.html#K3">**</a> <span class="p2">(<span class="default">the <a href="functor0.html#U2" target="_self">MorphMap</a> of <font color="Maroon">c<sub>6</sub></font> <a href="pboole.html#K7">*</a> the <a href="functor0.html#U1" target="_self">ObjectMap</a> of <font color="Maroon">c<sub>5</sub></font></span>)</span></span>)</span> <a href="altcat_2.html#K3">**</a> the <a href="functor0.html#U2" target="_self">MorphMap</a> of <font color="Maroon">c<sub>5</sub></font>
<b>by </b><i><a class="ref" href="relat_1.html#T55">RELAT_1:55</a></i>
<br/>.= 
<span class="p1">(<span class="default"><span class="p2">(<span class="default">the <a href="functor0.html#U2" target="_self">MorphMap</a> of <font color="Maroon">c<sub>7</sub></font> <a href="pboole.html#K7">*</a> the <a href="functor0.html#U1" target="_self">ObjectMap</a> of <span class="p3">(<span class="default"><font color="Maroon">c<sub>6</sub></font> <a href="functor0.html#K13" target="_self">*</a> <font color="Maroon">c<sub>5</sub></font></span>)</span></span>)</span> <a href="altcat_2.html#K3">**</a> <span class="p2">(<span class="default">the <a href="functor0.html#U2" target="_self">MorphMap</a> of <font color="Maroon">c<sub>6</sub></font> <a href="pboole.html#K7">*</a> the <a href="functor0.html#U1" target="_self">ObjectMap</a> of <font color="Maroon">c<sub>5</sub></font></span>)</span></span>)</span> <a href="altcat_2.html#K3">**</a> the <a href="functor0.html#U2" target="_self">MorphMap</a> of <font color="Maroon">c<sub>5</sub></font>
<b>by </b><i><a class="ref" href="functor0.html#D37" target="_self">Def37</a></i>
<br/>.= 
<span class="p1">(<span class="default">the <a href="functor0.html#U2" target="_self">MorphMap</a> of <font color="Maroon">c<sub>7</sub></font> <a href="pboole.html#K7">*</a> the <a href="functor0.html#U1" target="_self">ObjectMap</a> of <span class="p2">(<span class="default"><font color="Maroon">c<sub>6</sub></font> <a href="functor0.html#K13" target="_self">*</a> <font color="Maroon">c<sub>5</sub></font></span>)</span></span>)</span> <a href="altcat_2.html#K3">**</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default">the <a href="functor0.html#U2" target="_self">MorphMap</a> of <font color="Maroon">c<sub>6</sub></font> <a href="pboole.html#K7">*</a> the <a href="functor0.html#U1" target="_self">ObjectMap</a> of <font color="Maroon">c<sub>5</sub></font></span>)</span> <a href="altcat_2.html#K3">**</a> the <a href="functor0.html#U2" target="_self">MorphMap</a> of <font color="Maroon">c<sub>5</sub></font></span>)</span>
<b>by </b><i><a class="ref" href="autalg_1.html#T13">AUTALG_1:13</a></i>
<br/>.= 
<span class="p1">(<span class="default">the <a href="functor0.html#U2" target="_self">MorphMap</a> of <font color="Maroon">c<sub>7</sub></font> <a href="pboole.html#K7">*</a> the <a href="functor0.html#U1" target="_self">ObjectMap</a> of <span class="p2">(<span class="default"><font color="Maroon">c<sub>6</sub></font> <a href="functor0.html#K13" target="_self">*</a> <font color="Maroon">c<sub>5</sub></font></span>)</span></span>)</span> <a href="altcat_2.html#K3">**</a> the <a href="functor0.html#U2" target="_self">MorphMap</a> of <span class="p1">(<span class="default"><font color="Maroon">c<sub>6</sub></font> <a href="functor0.html#K13" target="_self">*</a> <font color="Maroon">c<sub>5</sub></font></span>)</span>
<b>by </b><i><a class="ref" href="functor0.html#D37" target="_self">Def37</a></i>
<br/>.= 
the <a href="functor0.html#U2" target="_self">MorphMap</a> of <span class="p1">(<span class="default"><font color="Maroon">c<sub>7</sub></font> <a href="functor0.html#K13" target="_self">*</a> <span class="p2">(<span class="default"><font color="Maroon">c<sub>6</sub></font> <a href="functor0.html#K13" target="_self">*</a> <font color="Maroon">c<sub>5</sub></font></span>)</span></span>)</span>
<b>by </b><i><a class="ref" href="functor0.html#D37" target="_self">Def37</a></i>
;<br/>
<b>hence </b><a NAME="E3:98"/>
<span class="p1">(<span class="default"><font color="Maroon">c<sub>7</sub></font> <a href="functor0.html#K13" target="_self">*</a> <font color="Maroon">c<sub>6</sub></font></span>)</span> <a href="functor0.html#K13" target="_self">*</a> <font color="Maroon">c<sub>5</sub></font> <a href="hidden.html#R1">=</a> <font color="Maroon">c<sub>7</sub></font> <a href="functor0.html#K13" target="_self">*</a> <span class="p1">(<span class="default"><font color="Maroon">c<sub>6</sub></font> <a href="functor0.html#K13" target="_self">*</a> <font color="Maroon">c<sub>5</sub></font></span>)</span>
 <b>by </b><i><a class="txt" href="functor0.html#E1:98"><i><font color="Green">E63</font></i></a></i>;<br/>


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