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<b>deffunc </b><font color="Maroon">H<sub>1</sub></font>(  <a href="cat_1.html#NM1" title="CAT_1:NM.1">Object</a> of <font color="Maroon" title="c1">A</font>) <b>-&gt; </b>   <a href="cat_1.html#M1" title="CAT_1:mode.1">Morphism</a> of <font color="Maroon" title="c4">F2</font> <a href="cat_1.html#K13" title="CAT_1:func.13">.</a> $1,<font color="Maroon" title="c3">F1</font> <a href="cat_1.html#K13" title="CAT_1:func.13">.</a> $1 = <span class="p1">(<span class="default"><font color="Maroon" title="c5">t1</font> <a href="nattra_1.html#K5" title="NATTRA_1:func.5">.</a> $1</span>)</span> <a href="cat_1.html#K11" title="CAT_1:func.11">"</a> ;<br/>
<b>consider </b><font color="Maroon" title="c6">t</font> being   <a href="funct_2.html#NM1" title="FUNCT_2:NM.1">Function</a> of the <a href="cat_1.html#U1" title="CAT_1:sel.1">Objects</a> of <font color="Maroon" title="c1">A</font>,the <a href="cat_1.html#U2" title="CAT_1:sel.2">Morphisms</a> of <font color="Maroon" title="c2">B</font><b> such that </b><br/><a NAME="E2:45_1_1"/><i><font color="Green" title="E39">A3</font></i>: 
for <font color="Olive" title="b1">a</font> being  <a href="cat_1.html#NM1" title="CAT_1:NM.1">Object</a> of <font color="Maroon" title="c1">A</font> holds  <font color="Maroon" title="c6">t</font> <a href="funct_2.html#K3" title="FUNCT_2:func.3">.</a> <font color="Olive" title="b1">a</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon">H<sub>1</sub></font>(<font color="Olive" title="b1">a</font>)
 <b>from </b><i><a class="ref" href="funct_2.html#S4" title="FUNCT_2:sch.4">FUNCT_2:sch 4</a>();<br/></i>
<a NAME="E3:45_1_1"/><i><font color="Green" title="E40">A4</font></i>: 
<font color="Maroon" title="c4">F2</font> <a href="nattra_1.html#R1" title="NATTRA_1:pred.1">is_transformable_to</a> <font color="Maroon" title="c3">F1</font>
 
<b>by </b><i><a class="txt" href="nattra_1.html#E1:45"><i><font color="Green" title="E37">A1</font></i></a>, <a class="txt" href="nattra_1.html#E2:45"><i><font color="Green" title="E38">A2</font></i></a>, <a class="txt" href="nattra_1.html#E42"><i><font color="Green" title="E36">Lm3</font></i></a></i>;<br/>
<div><a class="txt" onclick="hs2(this)" href="javascript:()" title="45_1_1_1"><b>now </b></a><div class="add"><b>let </b><font color="Maroon" title="c7">a</font> be   <a href="cat_1.html#NM1" title="CAT_1:NM.1">Object</a> of <font color="Maroon" title="c1">A</font>;<br/><a NAME="E1:45_1_1_1"/>
<font color="Maroon" title="c6">t</font> <a href="funct_2.html#K3" title="FUNCT_2:func.3">.</a> <font color="Maroon" title="c7">a</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default"><font color="Maroon" title="c5">t1</font> <a href="nattra_1.html#K5" title="NATTRA_1:func.5">.</a> <font color="Maroon" title="c7">a</font></span>)</span> <a href="cat_1.html#K11" title="CAT_1:func.11">"</a> 
 <b>by </b><i><a class="txt" href="nattra_1.html#E2:45_1_1"><i><font color="Green" title="E39">A3</font></i></a></i>;<br/><b>hence </b><a NAME="E2:45_1_1_1"/>
<font color="Maroon" title="c6">t</font> <a href="funct_2.html#K3" title="FUNCT_2:func.3">.</a> <font color="Maroon" title="c7">a</font> is    <a href="cat_1.html#M1" title="CAT_1:mode.1">Morphism</a> of <font color="Maroon" title="c4">F2</font> <a href="cat_1.html#K13" title="CAT_1:func.13">.</a> <font color="Maroon" title="c7">a</font>,<font color="Maroon" title="c3">F1</font> <a href="cat_1.html#K13" title="CAT_1:func.13">.</a> <font color="Maroon" title="c7">a</font>
 ;<br/></div><b>end;</b></div>
<b>then reconsider </b><font color="Maroon" title="c7">t</font> = <font color="Maroon" title="c6">t</font> as    <a href="nattra_1.html#M1" title="NATTRA_1:mode.1">transformation</a> of <font color="Maroon" title="c4">F2</font>,<font color="Maroon" title="c3">F1</font> <b>by </b><i><a class="txt" href="nattra_1.html#E3:45_1_1"><i><font color="Green" title="E40">A4</font></i></a>, <a class="ref" href="nattra_1.html#D3" target="_self" title="NATTRA_1:def.3">Def3</a></i>;<br/>
<b>take </b>
<font color="Maroon" title="c7">t</font>
;<br/>

<b>let </b><font color="Maroon" title="c8">a</font> be   <a href="cat_1.html#NM1" title="CAT_1:NM.1">Object</a> of <font color="Maroon" title="c1">A</font>;<br/>

<b>thus </b><font color="Maroon" title="c7">t</font> <a href="nattra_1.html#K5" title="NATTRA_1:func.5">.</a> <font color="Maroon" title="c8">a</font> = 
<font color="Maroon" title="c7">t</font> <a href="funct_2.html#K3" title="FUNCT_2:func.3">.</a> <font color="Maroon" title="c8">a</font>
<b>by </b><i><a class="txt" href="nattra_1.html#E3:45_1_1"><i><font color="Green" title="E40">A4</font></i></a>, <a class="ref" href="nattra_1.html#D5" target="_self" title="NATTRA_1:def.5">Def5</a></i>
<br/>.= 
<span class="p1">(<span class="default"><font color="Maroon" title="c5">t1</font> <a href="nattra_1.html#K5" title="NATTRA_1:func.5">.</a> <font color="Maroon" title="c8">a</font></span>)</span> <a href="cat_1.html#K11" title="CAT_1:func.11">"</a> 
<b>by </b><i><a class="txt" href="nattra_1.html#E2:45_1_1"><i><font color="Green" title="E39">A3</font></i></a></i>
;<br/>


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