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<span class="kw">set </span><font color="Maroon" title="c6">T</font> =  the    <a href="cat_7.html#M2" title="CAT_7:mode.2">pullback</a> of <font color="Maroon" title="c4">F1</font>,<font color="Maroon" title="c5">F2</font>;<br/>
<span class="kw">consider </span><font color="Maroon" title="c7">D</font> being   <a href="cat_6.html#V1" title="CAT_6:attr.1">strict</a>  <a href="cat_6.html#NM2" title="CAT_6:NM.2">category</a>, <font color="Maroon" title="c8">P1</font> being   <a href="cat_6.html#NM4" title="CAT_6:NM.4">Functor</a> of <font color="Maroon" title="c7">D</font>,<font color="Maroon" title="c2">C1</font>, <font color="Maroon" title="c9">P2</font> being   <a href="cat_6.html#NM4" title="CAT_6:NM.4">Functor</a> of <font color="Maroon" title="c7">D</font>,<font color="Maroon" title="c3">C2</font><span class="kw"> such that </span><br/><a NAME="E2:86_2_1"/><span class="lab"><font color="Green" title="E49">A4</font></span>: 
(  the    <a href="cat_7.html#M2" title="CAT_7:mode.2">pullback</a> of <font color="Maroon" title="c4">F1</font>,<font color="Maroon" title="c5">F2</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1"><a href="xtuple_0.html#K3" title="XTUPLE_0:func.3">[</a><span class="default"><font color="Maroon" title="c7">D</font>,<font color="Maroon" title="c8">P1</font>,<font color="Maroon" title="c9">P2</font></span><a href="xtuple_0.html#K3" title="XTUPLE_0:func.3">]</a></span> &amp; <font color="Maroon" title="c8">P1</font> is  <a href="cat_6.html#V16" title="CAT_6:attr.16">covariant</a>  &amp; <font color="Maroon" title="c9">P2</font> is  <a href="cat_6.html#V16" title="CAT_6:attr.16">covariant</a>  &amp; <font color="Maroon" title="c7">D</font>,<font color="Maroon" title="c8">P1</font>,<font color="Maroon" title="c9">P2</font> <a href="cat_7.html#R3" title="CAT_7:pred.3">is_pullback_of</a> <font color="Maroon" title="c4">F1</font>,<font color="Maroon" title="c5">F2</font> )
 <span class="kw">by</span> <span class="lab"><a class="txt" href="#E1:86"><span class="lab"><font color="Green" title="E47">A1</font></span></a>, <a class="txt" href="#E2:86"><span class="lab"><font color="Green" title="E48">A2</font></span></a>, <a class="ref" href="cat_7.html#D21" target="_self" onmouseover="rs('cat_7/D21')" onmouseout="rh()">Def21</a></span>;<br/>
<a NAME="E3:86_2_1"/>
( <span class="p1"><a href="xtuple_0.html#K3" title="XTUPLE_0:func.3">[</a><span class="default"><font color="Maroon" title="c7">D</font>,<font color="Maroon" title="c8">P1</font>,<font color="Maroon" title="c9">P2</font></span><a href="xtuple_0.html#K3" title="XTUPLE_0:func.3">]</a></span> <a href="xtuple_0.html#K4" title="XTUPLE_0:func.4">`1_3</a>  <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c7">D</font> &amp; <span class="p1"><a href="xtuple_0.html#K3" title="XTUPLE_0:func.3">[</a><span class="default"><font color="Maroon" title="c7">D</font>,<font color="Maroon" title="c8">P1</font>,<font color="Maroon" title="c9">P2</font></span><a href="xtuple_0.html#K3" title="XTUPLE_0:func.3">]</a></span> <a href="xtuple_0.html#NK6" title="XTUPLE_0:NK.6">`3_3</a>  <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c9">P2</font> )
 
;<br/>
<a NAME="E4:86_2_1"/><span class="kw">then </span>
<font color="Maroon" title="c7">D</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1"><a href="cat_7.html#K8" title="CAT_7:func.8">[|</a><span class="default"><font color="Maroon" title="c4">F1</font>,<font color="Maroon" title="c5">F2</font></span><a href="cat_7.html#K8" title="CAT_7:func.8">|]</a></span>
 
<span class="kw">by</span> <span class="lab"><a class="txt" href="#E1:86"><span class="lab"><font color="Green" title="E47">A1</font></span></a>, <a class="txt" href="#E2:86"><span class="lab"><font color="Green" title="E48">A2</font></span></a>, <a class="txt" href="#E2:86_2_1"><span class="lab"><font color="Green" title="E49">A4</font></span></a>, <a class="ref" href="cat_7.html#D22" target="_self" onmouseover="rs('cat_7/D22')" onmouseout="rh()">Def22</a></span>;<br/>
<span class="kw">then </span><span class="kw">reconsider </span><font color="Maroon" title="c10">P2</font> = <font color="Maroon" title="c9">P2</font> as   <a href="cat_6.html#NM4" title="CAT_6:NM.4">Functor</a> of <span class="p1"><a href="cat_7.html#K8" title="CAT_7:func.8">[|</a><span class="default"><font color="Maroon" title="c4">F1</font>,<font color="Maroon" title="c5">F2</font></span><a href="cat_7.html#K8" title="CAT_7:func.8">|]</a></span>,<font color="Maroon" title="c3">C2</font> ;<br/>
<a NAME="E6:86_2_1"/>
<font color="Maroon" title="c10">P2</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  the    <a href="cat_7.html#M2" title="CAT_7:mode.2">pullback</a> of <font color="Maroon" title="c4">F1</font>,<font color="Maroon" title="c5">F2</font> <a href="xtuple_0.html#NK6" title="XTUPLE_0:NK.6">`3_3</a> 
 
<span class="kw">by</span> <span class="lab"><a class="txt" href="#E2:86_2_1"><span class="lab"><font color="Green" title="E49">A4</font></span></a></span>;<br/>
<span class="kw">hence </span><a NAME="E7:86_2_1"/>
 the    <a href="cat_7.html#M2" title="CAT_7:mode.2">pullback</a> of <font color="Maroon" title="c4">F1</font>,<font color="Maroon" title="c5">F2</font> <a href="xtuple_0.html#NK6" title="XTUPLE_0:NK.6">`3_3</a>  is   <a href="cat_6.html#NM4" title="CAT_6:NM.4">Functor</a> of <span class="p1"><a href="cat_7.html#K8" title="CAT_7:func.8">[|</a><span class="default"><font color="Maroon" title="c4">F1</font>,<font color="Maroon" title="c5">F2</font></span><a href="cat_7.html#K8" title="CAT_7:func.8">|]</a></span>,<font color="Maroon" title="c3">C2</font>
 ; <a class="txt" onmouseover="tooltip.show('hs',this)" onmouseout="tooltip.hide()" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide"> verum</span><br/>


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