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<b>let </b><font color="Maroon" title="c1">C</font>, <font color="Maroon" title="c2">B</font>, <font color="Maroon" title="c3">D</font> be   <a href="cat_1.html#NM4" title="CAT_1:NM.4">Category</a>; <a class="txt" onclick="hs(this)" href="javascript:()"><i><font color="Red">::  thesis: </font></i></a><span class="hide"> for <font color="Olive" title="b1">S1</font> being   <a href="cat_1.html#M2" title="CAT_1:mode.2">Functor</a> of <font color="Maroon" title="c1">C</font>,<font color="Maroon" title="c2">B</font><br/> for <font color="Olive" title="b2">S2</font> being   <a href="oppcat_1.html#M1" title="OPPCAT_1:mode.1">Contravariant_Functor</a> of <font color="Maroon" title="c2">B</font>,<font color="Maroon" title="c3">D</font> holds  <font color="Olive" title="b2">S2</font> <a href="partfun1.html#K1" title="PARTFUN1:func.1">*</a> <font color="Olive" title="b1">S1</font> is    <a href="oppcat_1.html#M1" title="OPPCAT_1:mode.1">Contravariant_Functor</a> of <font color="Maroon" title="c1">C</font>,<font color="Maroon" title="c3">D</font></span><br/><b>let </b><font color="Maroon" title="c4">S1</font> be    <a href="cat_1.html#M2" title="CAT_1:mode.2">Functor</a> of <font color="Maroon" title="c1">C</font>,<font color="Maroon" title="c2">B</font>; <a class="txt" onclick="hs(this)" href="javascript:()"><i><font color="Red">::  thesis: </font></i></a><span class="hide"> for <font color="Olive" title="b1">S2</font> being   <a href="oppcat_1.html#M1" title="OPPCAT_1:mode.1">Contravariant_Functor</a> of <font color="Maroon" title="c2">B</font>,<font color="Maroon" title="c3">D</font> holds  <font color="Olive" title="b1">S2</font> <a href="partfun1.html#K1" title="PARTFUN1:func.1">*</a> <font color="Maroon" title="c4">S1</font> is    <a href="oppcat_1.html#M1" title="OPPCAT_1:mode.1">Contravariant_Functor</a> of <font color="Maroon" title="c1">C</font>,<font color="Maroon" title="c3">D</font></span><br/><b>let </b><font color="Maroon" title="c5">S2</font> be    <a href="oppcat_1.html#M1" title="OPPCAT_1:mode.1">Contravariant_Functor</a> of <font color="Maroon" title="c2">B</font>,<font color="Maroon" title="c3">D</font>; <a class="txt" onclick="hs(this)" href="javascript:()"><i><font color="Red">::  thesis: </font></i></a><span class="hide"> <font color="Maroon" title="c5">S2</font> <a href="partfun1.html#K1" title="PARTFUN1:func.1">*</a> <font color="Maroon" title="c4">S1</font> is    <a href="oppcat_1.html#M1" title="OPPCAT_1:mode.1">Contravariant_Functor</a> of <font color="Maroon" title="c1">C</font>,<font color="Maroon" title="c3">D</font></span><br/>









<a NAME="E1:80"/>
 <a href="oppcat_1.html#K8" title="OPPCAT_1:func.8">*'</a> <font color="Maroon" title="c4">S1</font> is    <a href="oppcat_1.html#M1" title="OPPCAT_1:mode.1">Contravariant_Functor</a> of <font color="Maroon" title="c1">C</font> <a href="oppcat_1.html#K2" title="OPPCAT_1:func.2">opp</a> ,<font color="Maroon" title="c2">B</font>
 
<b>by </b><i><a class="ref" href="oppcat_1.html#T58" target="_self" title="OPPCAT_1:th.58">Th58</a></i>;<br/>
<a NAME="E2:80"/><b>then </b>
<font color="Maroon" title="c5">S2</font> <a href="partfun1.html#K1" title="PARTFUN1:func.1">*</a> <span class="p1">(<span class="default"><a href="oppcat_1.html#K8" title="OPPCAT_1:func.8">*'</a> <font color="Maroon" title="c4">S1</font></span>)</span> is    <a href="cat_1.html#M2" title="CAT_1:mode.2">Functor</a> of <font color="Maroon" title="c1">C</font> <a href="oppcat_1.html#K2" title="OPPCAT_1:func.2">opp</a> ,<font color="Maroon" title="c3">D</font>
 
<b>by </b><i><a class="ref" href="oppcat_1.html#T36" target="_self" title="OPPCAT_1:th.36">Th36</a></i>;<br/>
<a NAME="E3:80"/><b>then </b>
 <a href="oppcat_1.html#K7" title="OPPCAT_1:func.7">/*</a> <span class="p1">(<span class="default"><font color="Maroon" title="c5">S2</font> <a href="partfun1.html#K1" title="PARTFUN1:func.1">*</a> <span class="p2">(<span class="default"><a href="oppcat_1.html#K8" title="OPPCAT_1:func.8">*'</a> <font color="Maroon" title="c4">S1</font></span>)</span></span>)</span> is    <a href="oppcat_1.html#M1" title="OPPCAT_1:mode.1">Contravariant_Functor</a> of <font color="Maroon" title="c1">C</font>,<font color="Maroon" title="c3">D</font>
 
<b>by </b><i><a class="ref" href="oppcat_1.html#T35" target="_self" title="OPPCAT_1:th.35">Th35</a></i>;<br/>
<a NAME="E4:80"/><b>then </b>
<font color="Maroon" title="c5">S2</font> <a href="partfun1.html#K1" title="PARTFUN1:func.1">*</a> <span class="p1">(<span class="default"><a href="oppcat_1.html#K7" title="OPPCAT_1:func.7">/*</a> <span class="p2">(<span class="default"><a href="oppcat_1.html#K8" title="OPPCAT_1:func.8">*'</a> <font color="Maroon" title="c4">S1</font></span>)</span></span>)</span> is    <a href="oppcat_1.html#M1" title="OPPCAT_1:mode.1">Contravariant_Functor</a> of <font color="Maroon" title="c1">C</font>,<font color="Maroon" title="c3">D</font>
 
<b>by </b><i><a class="txt" href="oppcat_1.html#E76"><i><font color="Green" title="E41">Lm15</font></i></a></i>;<br/>
<b>hence </b><a NAME="E5:80"/>
<font color="Maroon" title="c5">S2</font> <a href="partfun1.html#K1" title="PARTFUN1:func.1">*</a> <font color="Maroon" title="c4">S1</font> is    <a href="oppcat_1.html#M1" title="OPPCAT_1:mode.1">Contravariant_Functor</a> of <font color="Maroon" title="c1">C</font>,<font color="Maroon" title="c3">D</font>
 <b>by </b><i><a class="ref" href="oppcat_1.html#T48" target="_self" title="OPPCAT_1:th.48">Th48</a></i>; <a class="txt" onclick="hs(this)" href="javascript:()"><i><font color="Red">::  thesis: </font></i></a><span class="hide"> verum</span><br/>


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