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<span class="kw">let </span><font color="Maroon" title="c3">M</font> be    <a href="functor0.html#L1" title="FUNCTOR0:struct.1">BimapStr</a> of <font color="Maroon" title="c1">C1</font>,<font color="Maroon" title="c2">C2</font>; <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="Red">::  thesis: </font></span></a><span class="hide"> ( <font color="Maroon" title="c3">M</font> is  <a href="functor0.html#V10" title="FUNCTOR0:attr.10">Covariant</a>  implies <font color="Maroon" title="c3">M</font> is  <a href="functor0.html#V6" title="FUNCTOR0:attr.6">reflexive</a>  )</span><br/>

<span class="kw">assume </span><a NAME="E1:114_1_1"/>
<font color="Maroon" title="c3">M</font> is  <a href="functor0.html#V10" title="FUNCTOR0:attr.10">Covariant</a> 
 ; <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="Red">::  thesis: </font></span></a><span class="hide"> <font color="Maroon" title="c3">M</font> is  <a href="functor0.html#V6" title="FUNCTOR0:attr.6">reflexive</a> </span><br/>

<a NAME="E2:114_1_1"/><span class="kw">then </span>
the <a href="functor0.html#U1" title="FUNCTOR0:sel.1">ObjectMap</a> of <font color="Maroon" title="c3">M</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/>
<a NAME="E3:114_1_1"/><span class="kw">then </span>
 ex <font color="Olive" title="b1">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> st the <a href="functor0.html#U1" title="FUNCTOR0:sel.1">ObjectMap</a> of <font color="Maroon" title="c3">M</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="Olive" title="b1">f</font>,<font color="Olive" title="b1">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/>
<span class="kw">hence </span><a NAME="E4:114_1_1"/>
the <a href="functor0.html#U1" title="FUNCTOR0:sel.1">ObjectMap</a> of <font color="Maroon" title="c3">M</font> <a href="relset_1.html#K7" title="RELSET_1:func.7">.:</a> <span class="p1">(<span class="default"><a href="partfun1.html#K6" title="PARTFUN1:func.6">id</a> the <a href="struct_0.html#U1" title="STRUCT_0:sel.1">carrier</a> of <font color="Maroon" title="c1">C1</font></span>)</span> <a href="relset_1.html#R1" title="RELSET_1:pred.1">c=</a>  <a href="partfun1.html#K6" title="PARTFUN1:func.6">id</a> 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">by</span> <span class="lab"><a class="ref" href="functor0.html#T15" target="_self" title="FUNCTOR0:th.15">Th15</a></span>; <span class="comment"><font color="Red">:: according to </font></span><a class="ref" href="functor0.html#D9" target="_self" title="FUNCTOR0:def.9">FUNCTOR0:def 9</a> <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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