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the <a href="functor0.html#U1" title="FUNCTOR0:sel.1">ObjectMap</a> of <font color="Maroon" title="c4">F</font> is  <a href="functor0.html#V1" title="FUNCTOR0:attr.1">Covariant</a> 
 
<span class="kw">by</span> <span class="lab"><a class="ref" href="functor0.html#D13" target="_self" title="FUNCTOR0:def.13">Def13</a></span>;<br/>
<span class="kw">then </span><span class="kw">consider </span><font color="Maroon" title="c6">f</font> being   <a href="funct_2.html#NM1" title="FUNCT_2:NM.1">Function</a> of the <a href="struct_0.html#U1" title="STRUCT_0:sel.1">carrier</a> of <font color="Maroon" title="c1">C1</font>,the <a href="struct_0.html#U1" title="STRUCT_0:sel.1">carrier</a> of <font color="Maroon" title="c2">C2</font><span class="kw"> such that </span><br/><a NAME="E3:94_1_1"/><span class="lab"><font color="Green" title="E63">A1</font></span>: 
the <a href="functor0.html#U1" title="FUNCTOR0:sel.1">ObjectMap</a> of <font color="Maroon" title="c4">F</font> <a href="funct_2.html#R2" title="FUNCT_2:pred.2">=</a> <span class="p1"><a href="funct_3.html#K16" title="FUNCT_3:func.16">[:</a><span class="default"><font color="Maroon" title="c6">f</font>,<font color="Maroon" title="c6">f</font></span><a href="funct_3.html#K16" title="FUNCT_3:func.16">:]</a></span>
 <span class="kw">by</span> <span class="lab"><a class="ref" href="functor0.html#D2" target="_self" title="FUNCTOR0:def.2">Def2</a></span>;<br/>
<a NAME="E4:94_1_1"/>
the <a href="functor0.html#U1" title="FUNCTOR0:sel.1">ObjectMap</a> of <font color="Maroon" title="c5">G</font> is  <a href="functor0.html#V1" title="FUNCTOR0:attr.1">Covariant</a> 
 
<span class="kw">by</span> <span class="lab"><a class="ref" href="functor0.html#D13" target="_self" title="FUNCTOR0:def.13">Def13</a></span>;<br/>
<span class="kw">then </span><span class="kw">consider </span><font color="Maroon" title="c7">g</font> being   <a href="funct_2.html#NM1" title="FUNCT_2:NM.1">Function</a> of the <a href="struct_0.html#U1" title="STRUCT_0:sel.1">carrier</a> of <font color="Maroon" title="c2">C2</font>,the <a href="struct_0.html#U1" title="STRUCT_0:sel.1">carrier</a> of <font color="Maroon" title="c3">C3</font><span class="kw"> such that </span><br/><a NAME="E6:94_1_1"/><span class="lab"><font color="Green" title="E64">A2</font></span>: 
the <a href="functor0.html#U1" title="FUNCTOR0:sel.1">ObjectMap</a> of <font color="Maroon" title="c5">G</font> <a href="funct_2.html#R2" title="FUNCT_2:pred.2">=</a> <span class="p1"><a href="funct_3.html#K16" title="FUNCT_3:func.16">[:</a><span class="default"><font color="Maroon" title="c7">g</font>,<font color="Maroon" title="c7">g</font></span><a href="funct_3.html#K16" title="FUNCT_3:func.16">:]</a></span>
 <span class="kw">by</span> <span class="lab"><a class="ref" href="functor0.html#D2" target="_self" title="FUNCTOR0:def.2">Def2</a></span>;<br/>
<span class="kw">take </span>
<font color="Maroon" title="c7">g</font> <a href="partfun1.html#K1" title="PARTFUN1:func.1">*</a> <font color="Maroon" title="c6">f</font>
; <span class="comment"><font color="Red">:: according to </font></span><a class="ref" href="functor0.html#D2" target="_self" title="FUNCTOR0:def.2">FUNCTOR0:def 2</a>,<a class="ref" href="functor0.html#D13" target="_self" title="FUNCTOR0:def.13">FUNCTOR0:def 13</a> <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="Red">::  thesis: </font></span></a><span class="hide"> the <a href="functor0.html#U1" title="FUNCTOR0:sel.1">ObjectMap</a> of <span class="p1">(<span class="default"><font color="Maroon" title="c5">G</font> <a href="functor0.html#K13" title="FUNCTOR0:func.13">*</a> <font color="Maroon" title="c4">F</font></span>)</span> <a href="funct_2.html#R2" title="FUNCT_2:pred.2">=</a> <span class="p1"><a href="funct_3.html#K16" title="FUNCT_3:func.16">[:</a><span class="default"><span class="p2">(<span class="default"><font color="Maroon" title="c7">g</font> <a href="partfun1.html#K1" title="PARTFUN1:func.1">*</a> <font color="Maroon" title="c6">f</font></span>)</span>,<span class="p2">(<span class="default"><font color="Maroon" title="c7">g</font> <a href="partfun1.html#K1" title="PARTFUN1:func.1">*</a> <font color="Maroon" title="c6">f</font></span>)</span></span><a href="funct_3.html#K16" title="FUNCT_3:func.16">:]</a></span></span><br/>

<span class="kw">thus </span>the <a href="functor0.html#U1" title="FUNCTOR0:sel.1">ObjectMap</a> of <span class="p1">(<span class="default"><font color="Maroon" title="c5">G</font> <a href="functor0.html#K13" title="FUNCTOR0:func.13">*</a> <font color="Maroon" title="c4">F</font></span>)</span> = 
the <a href="functor0.html#U1" title="FUNCTOR0:sel.1">ObjectMap</a> of <font color="Maroon" title="c5">G</font> <a href="partfun1.html#K1" title="PARTFUN1:func.1">*</a> the <a href="functor0.html#U1" title="FUNCTOR0:sel.1">ObjectMap</a> of <font color="Maroon" title="c4">F</font>
<span class="kw">by</span> <span class="lab"><a class="ref" href="functor0.html#D37" target="_self" title="FUNCTOR0:def.37">Def37</a></span>
<br/>.= 
<span class="p1"><a href="funct_3.html#K16" title="FUNCT_3:func.16">[:</a><span class="default"><span class="p2">(<span class="default"><font color="Maroon" title="c7">g</font> <a href="partfun1.html#K1" title="PARTFUN1:func.1">*</a> <font color="Maroon" title="c6">f</font></span>)</span>,<span class="p2">(<span class="default"><font color="Maroon" title="c7">g</font> <a href="partfun1.html#K1" title="PARTFUN1:func.1">*</a> <font color="Maroon" title="c6">f</font></span>)</span></span><a href="funct_3.html#K16" title="FUNCT_3:func.16">:]</a></span>
<span class="kw">by</span> <span class="lab"><a class="txt" href="#E3:94_1_1"><span class="lab"><font color="Green" title="E63">A1</font></span></a>, <a class="txt" href="#E6:94_1_1"><span class="lab"><font color="Green" title="E64">A2</font></span></a>, <a class="ref" href="funct_3.html#T92" title="FUNCT_3:th.92">FUNCT_3:92</a></span>
; <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="Red">::  thesis: </font></span></a><span class="hide"> verum</span><br/>


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