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<b>let </b><font color="Maroon" title="c1">o</font>, <font color="Maroon" title="c2">m</font> be    <a href="hidden.html#M1" title="HIDDEN:mode.1">set</a> ;<br/>

<b>set </b><font color="Maroon" title="c3">1PCat</font> =  <a href="cat_4.html#K5" title="CAT_4:func.5">c1Cat</a> <font color="Maroon" title="c1">o</font>,<font color="Maroon" title="c2">m</font>;<br/>
<b>thus </b><a NAME="E1:18"/>
the <a href="cat_4.html#U1" title="CAT_4:sel.1">TerminalObj</a> of <span class="p1">(<span class="default"><a href="cat_4.html#K5" title="CAT_4:func.5">c1Cat</a> <font color="Maroon" title="c1">o</font>,<font color="Maroon" title="c2">m</font></span>)</span> is <a href="cat_1.html#V6" title="CAT_1:attr.6">terminal</a>
 <b>by </b><i><a class="ref" href="cat_4.html#T10" target="_self" title="CAT_4:th.10">Th10</a></i>; <i><font color="Red">:: according to </font></i><a class="ref" href="cat_4.html#D9" target="_self" title="CAT_4:def.9">CAT_4:def 9</a><br/>

<b>let </b><font color="Maroon" title="c4">a</font>, <font color="Maroon" title="c5">b</font> be   <a href="cat_1.html#NM1" title="CAT_1:NM.1">Object</a> of <span class="p1">(<span class="default"><a href="cat_4.html#K5" title="CAT_4:func.5">c1Cat</a> <font color="Maroon" title="c1">o</font>,<font color="Maroon" title="c2">m</font></span>)</span>;<br/>

<b>thus </b><a NAME="E2:18"/>
 <a href="cat_1.html#K3" title="CAT_1:func.3">cod</a> <span class="p1">(<span class="default">the <a href="cat_4.html#U3" title="CAT_4:sel.3">Proj1</a> of <span class="p2">(<span class="default"><a href="cat_4.html#K5" title="CAT_4:func.5">c1Cat</a> <font color="Maroon" title="c1">o</font>,<font color="Maroon" title="c2">m</font></span>)</span> <a href="binop_1.html#K2" title="BINOP_1:func.2">.</a> <font color="Maroon" title="c4">a</font>,<font color="Maroon" title="c5">b</font></span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c4">a</font>
 <b>by </b><i><a class="ref" href="cat_4.html#T4" target="_self" title="CAT_4:th.4">Th4</a></i>;<br/>

<b>thus </b><a NAME="E3:18"/>
 <a href="cat_1.html#K3" title="CAT_1:func.3">cod</a> <span class="p1">(<span class="default">the <a href="cat_4.html#U4" title="CAT_4:sel.4">Proj2</a> of <span class="p2">(<span class="default"><a href="cat_4.html#K5" title="CAT_4:func.5">c1Cat</a> <font color="Maroon" title="c1">o</font>,<font color="Maroon" title="c2">m</font></span>)</span> <a href="binop_1.html#K2" title="BINOP_1:func.2">.</a> <font color="Maroon" title="c4">a</font>,<font color="Maroon" title="c5">b</font></span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c5">b</font>
 <b>by </b><i><a class="ref" href="cat_4.html#T4" target="_self" title="CAT_4:th.4">Th4</a></i>;<br/>

<b>thus </b><a NAME="E4:18"/>
the <a href="cat_4.html#U2" title="CAT_4:sel.2">CatProd</a> of <span class="p1">(<span class="default"><a href="cat_4.html#K5" title="CAT_4:func.5">c1Cat</a> <font color="Maroon" title="c1">o</font>,<font color="Maroon" title="c2">m</font></span>)</span> <a href="binop_1.html#K2" title="BINOP_1:func.2">.</a> <font color="Maroon" title="c4">a</font>,<font color="Maroon" title="c5">b</font> <a href="cat_3.html#R2" title="CAT_3:pred.2">is_a_product_wrt</a> the <a href="cat_4.html#U3" title="CAT_4:sel.3">Proj1</a> of <span class="p1">(<span class="default"><a href="cat_4.html#K5" title="CAT_4:func.5">c1Cat</a> <font color="Maroon" title="c1">o</font>,<font color="Maroon" title="c2">m</font></span>)</span> <a href="binop_1.html#K2" title="BINOP_1:func.2">.</a> <font color="Maroon" title="c4">a</font>,<font color="Maroon" title="c5">b</font>,the <a href="cat_4.html#U4" title="CAT_4:sel.4">Proj2</a> of <span class="p1">(<span class="default"><a href="cat_4.html#K5" title="CAT_4:func.5">c1Cat</a> <font color="Maroon" title="c1">o</font>,<font color="Maroon" title="c2">m</font></span>)</span> <a href="binop_1.html#K2" title="BINOP_1:func.2">.</a> <font color="Maroon" title="c4">a</font>,<font color="Maroon" title="c5">b</font>
 <b>by </b><i><a class="ref" href="cat_4.html#T11" target="_self" title="CAT_4:th.11">Th11</a></i>;<br/>


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