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<b>thus </b><a NAME="E1:53_8_1"/>
ex <font color="Olive">b<sub>1</sub></font> being <a href="cat_1.html#V1">strict</a> <a href="cat_5.html#V1" target="_self">with_triple-like_morphisms</a> <a href="cat_1.html#NM4">Category</a> st <br/>( the <a href="cat_1.html#U1">Objects</a> of <font color="Olive">b<sub>1</sub></font> <a href="hidden.html#R1">=</a> <font color="Maroon">c<sub>2</sub></font> <a href="cat_5.html#K13" target="_self">Hom</a>  &amp; ( for <font color="Olive">b<sub>2</sub></font>, <font color="Olive">b<sub>3</sub></font> being   <a href="subset_1.html#M2">Element</a> of <font color="Maroon">c<sub>2</sub></font> <a href="cat_5.html#K13" target="_self">Hom</a> <br/>for <font color="Olive">b<sub>4</sub></font> being   <a href="subset_1.html#M1">Element</a> of the <a href="cat_1.html#U2">Morphisms</a> of <font color="Maroon">c<sub>1</sub></font> st <font color="Maroon">S<sub>2</sub></font>[<font color="Olive">b<sub>2</sub></font>,<font color="Olive">b<sub>3</sub></font>,<font color="Olive">b<sub>4</sub></font>] holds <br/><span class="p1"><a href="cat_2.html#K13">[</a><span class="default"><span class="p2"><a href="cat_2.html#K13">[</a><span class="default"><font color="Olive">b<sub>2</sub></font>,<font color="Olive">b<sub>3</sub></font></span><a href="cat_2.html#K13">]</a></span>,<font color="Olive">b<sub>4</sub></font></span><a href="cat_2.html#K13">]</a></span> is   <a href="cat_1.html#NM2">Morphism</a> of <font color="Olive">b<sub>1</sub></font> ) &amp; ( for <font color="Olive">b<sub>2</sub></font> being  <a href="cat_1.html#NM2">Morphism</a> of <font color="Olive">b<sub>1</sub></font>ex <font color="Olive">b<sub>3</sub></font>, <font color="Olive">b<sub>4</sub></font> being   <a href="subset_1.html#M2">Element</a> of <font color="Maroon">c<sub>2</sub></font> <a href="cat_5.html#K13" target="_self">Hom</a> ex <font color="Olive">b<sub>5</sub></font> being   <a href="subset_1.html#M1">Element</a> of the <a href="cat_1.html#U2">Morphisms</a> of <font color="Maroon">c<sub>1</sub></font> st <br/>( <font color="Olive">b<sub>2</sub></font> <a href="hidden.html#R1">=</a> <span class="p1"><a href="cat_2.html#K13">[</a><span class="default"><span class="p2"><a href="cat_2.html#K13">[</a><span class="default"><font color="Olive">b<sub>3</sub></font>,<font color="Olive">b<sub>4</sub></font></span><a href="cat_2.html#K13">]</a></span>,<font color="Olive">b<sub>5</sub></font></span><a href="cat_2.html#K13">]</a></span> &amp; <font color="Maroon">S<sub>2</sub></font>[<font color="Olive">b<sub>3</sub></font>,<font color="Olive">b<sub>4</sub></font>,<font color="Olive">b<sub>5</sub></font>] ) ) &amp; ( for <font color="Olive">b<sub>2</sub></font>, <font color="Olive">b<sub>3</sub></font> being  <a href="cat_1.html#NM2">Morphism</a> of <font color="Olive">b<sub>1</sub></font><br/>for <font color="Olive">b<sub>4</sub></font>, <font color="Olive">b<sub>5</sub></font>, <font color="Olive">b<sub>6</sub></font> being   <a href="subset_1.html#M2">Element</a> of <font color="Maroon">c<sub>2</sub></font> <a href="cat_5.html#K13" target="_self">Hom</a> <br/>for <font color="Olive">b<sub>7</sub></font>, <font color="Olive">b<sub>8</sub></font> being   <a href="subset_1.html#M1">Element</a> of the <a href="cat_1.html#U2">Morphisms</a> of <font color="Maroon">c<sub>1</sub></font> st <font color="Olive">b<sub>2</sub></font> <a href="hidden.html#R1">=</a> <span class="p1"><a href="cat_2.html#K13">[</a><span class="default"><span class="p2"><a href="cat_2.html#K13">[</a><span class="default"><font color="Olive">b<sub>4</sub></font>,<font color="Olive">b<sub>5</sub></font></span><a href="cat_2.html#K13">]</a></span>,<font color="Olive">b<sub>7</sub></font></span><a href="cat_2.html#K13">]</a></span> &amp; <font color="Olive">b<sub>3</sub></font> <a href="hidden.html#R1">=</a> <span class="p1"><a href="cat_2.html#K13">[</a><span class="default"><span class="p2"><a href="cat_2.html#K13">[</a><span class="default"><font color="Olive">b<sub>5</sub></font>,<font color="Olive">b<sub>6</sub></font></span><a href="cat_2.html#K13">]</a></span>,<font color="Olive">b<sub>8</sub></font></span><a href="cat_2.html#K13">]</a></span> holds <br/><font color="Olive">b<sub>3</sub></font> <a href="cat_1.html#K4">*</a> <font color="Olive">b<sub>2</sub></font> <a href="hidden.html#R1">=</a> <span class="p1"><a href="cat_2.html#K13">[</a><span class="default"><span class="p2"><a href="cat_2.html#K13">[</a><span class="default"><font color="Olive">b<sub>4</sub></font>,<font color="Olive">b<sub>6</sub></font></span><a href="cat_2.html#K13">]</a></span>,<font color="Maroon">H<sub>1</sub></font>(<font color="Olive">b<sub>8</sub></font>,<font color="Olive">b<sub>7</sub></font>)</span><a href="cat_2.html#K13">]</a></span> ) )
 <b>from </b><i><a class="ref" href="cat_5.html#S1" target="_self">CAT_5:sch 1</a>(<a class="txt" href="cat_5.html#E4:53"><i><font color="Green">E35</font></i></a>, <a class="txt" href="cat_5.html#E5:53"><i><font color="Green">E36</font></i></a>, <a class="txt" href="cat_5.html#E6:53"><i><font color="Green">E37</font></i></a>);</i><br/>


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