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<span class="kw">thus </span><a NAME="E1:33_4_1"/>
 ex <font color="Olive" title="b1">F</font> being   <a href="functor0.html#V9" title="FUNCTOR0:attr.9">strict</a>   <a href="functor0.html#V16" title="FUNCTOR0:attr.16">contravariant</a>   <a href="functor0.html#M2" title="FUNCTOR0:mode.2">Functor</a> of <font color="Maroon" title="c1">W</font> <a href="waybel34.html#K5" title="WAYBEL34:func.5">-SUP_category</a> ,<font color="Maroon" title="c1">W</font> <a href="waybel34.html#K4" title="WAYBEL34:func.4">-INF_category</a>  st <br/>( (  for <font color="Olive" title="b2">a</font> being   <a href="altcat_1.html#NM1" title="ALTCAT_1:NM.1">Object</a> of <span class="p1">(<span class="default"><font color="Maroon" title="c1">W</font> <a href="waybel34.html#K5" title="WAYBEL34:func.5">-SUP_category</a></span>)</span> holds  <font color="Olive" title="b1">F</font> <a href="functor0.html#K2" title="FUNCTOR0:func.2">.</a> <font color="Olive" title="b2">a</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon">H<sub>1</sub></font>( <a href="yellow21.html#K4" title="YELLOW21:func.4">latt</a> <font color="Olive" title="b2">a</font>) ) &amp; (  for <font color="Olive" title="b2">a</font>, <font color="Olive" title="b3">b</font> being   <a href="altcat_1.html#NM1" title="ALTCAT_1:NM.1">Object</a> of <span class="p1">(<span class="default"><font color="Maroon" title="c1">W</font> <a href="waybel34.html#K5" title="WAYBEL34:func.5">-SUP_category</a></span>)</span>  st <span class="p1"><a href="altcat_1.html#K1" title="ALTCAT_1:func.1">&lt;^</a><span class="default"><font color="Olive" title="b2">a</font>,<font color="Olive" title="b3">b</font></span><a href="altcat_1.html#K1" title="ALTCAT_1:func.1">^&gt;</a></span> <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a>  <a href="xboole_0.html#K1" title="XBOOLE_0:func.1">{}</a>  holds <br/> for <font color="Olive" title="b4">f</font> being   <a href="altcat_1.html#NM2" title="ALTCAT_1:NM.2">Morphism</a> of <font color="Olive" title="b2">a</font>,<font color="Olive" title="b3">b</font> holds  <font color="Olive" title="b1">F</font> <a href="functor0.html#K7" title="FUNCTOR0:func.7">.</a> <font color="Olive" title="b4">f</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon">H<sub>3</sub></font>( <a href="yellow21.html#K4" title="YELLOW21:func.4">latt</a> <font color="Olive" title="b2">a</font>, <a href="yellow21.html#K4" title="YELLOW21:func.4">latt</a> <font color="Olive" title="b3">b</font>, <a href="yellow21.html#K5" title="YELLOW21:func.5">@</a> <font color="Olive" title="b4">f</font>) ) )
 <span class="kw">from</span> <span class="lab"><a class="ref" href="yellow21.html#S7" onmouseover="rs('yellow21/S7')" onmouseout="rh()">YELLOW21:sch 7</a>(<a class="txt" href="#E2:33"><span class="lab"><font color="Green" title="E23">A2</font></span></a>, <a class="txt" href="#E1:33"><span class="lab"><font color="Green" title="E22">A1</font></span></a>, <a class="txt" href="#E7:33"><span class="lab"><font color="Green" title="E28">A13</font></span></a>, <a class="txt" href="#E8:33"><span class="lab"><font color="Green" title="E29">A14</font></span></a>, <a class="txt" href="#E9:33"><span class="lab"><font color="Green" title="E30">A15</font></span></a>, <a class="txt" href="#E10:33"><span class="lab"><font color="Green" title="E31">A16</font></span></a>);</span> <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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