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<b>let </b><font color="Maroon" title="c5">M1</font>, <font color="Maroon" title="c6">M2</font> be   <a href="altcat_1.html#NM2" title="ALTCAT_1:NM.2">Morphism</a> of <font color="Maroon" title="c3">o2</font>,<font color="Maroon" title="c2">o1</font>;<br/>

<b>assume </b><b>that </b><br/><a NAME="E1:6_1_2"/><i><font color="Green" title="E7">A6</font></i>: 
( <font color="Maroon" title="c5">M1</font> <a href="altcat_3.html#R1" title="ALTCAT_3:pred.1">is_left_inverse_of</a> <font color="Maroon" title="c4">A</font> &amp; <font color="Maroon" title="c5">M1</font> <a href="altcat_3.html#NR2" title="ALTCAT_3:NR.2">is_right_inverse_of</a> <font color="Maroon" title="c4">A</font> )
 <b>and </b><br/><a NAME="E2:6_1_2"/><i><font color="Green" title="E8">A7</font></i>: 
( <font color="Maroon" title="c6">M2</font> <a href="altcat_3.html#R1" title="ALTCAT_3:pred.1">is_left_inverse_of</a> <font color="Maroon" title="c4">A</font> &amp; <font color="Maroon" title="c6">M2</font> <a href="altcat_3.html#NR2" title="ALTCAT_3:NR.2">is_right_inverse_of</a> <font color="Maroon" title="c4">A</font> )
 ;<br/>

<b>thus </b><font color="Maroon" title="c5">M1</font> = 
<font color="Maroon" title="c5">M1</font> <a href="altcat_1.html#K5" title="ALTCAT_1:func.5">*</a> <span class="p1">(<span class="default"><a href="altcat_1.html#K8" title="ALTCAT_1:func.8">idm</a> <font color="Maroon" title="c3">o2</font></span>)</span>
<b>by </b><i><a class="txt" href="altcat_3.html#E1:6"><i><font color="Green" title="E5">A1</font></i></a>, <a class="ref" href="altcat_1.html#D19" title="ALTCAT_1:def.19">ALTCAT_1:def 19</a></i>
<br/>.= 
<font color="Maroon" title="c5">M1</font> <a href="altcat_1.html#K5" title="ALTCAT_1:func.5">*</a> <span class="p1">(<span class="default"><font color="Maroon" title="c4">A</font> <a href="altcat_1.html#K5" title="ALTCAT_1:func.5">*</a> <font color="Maroon" title="c6">M2</font></span>)</span>
<b>by </b><i><a class="txt" href="altcat_3.html#E2:6_1_2"><i><font color="Green" title="E8">A7</font></i></a>, <a class="ref" href="altcat_3.html#D1" target="_self" title="ALTCAT_3:def.1">Def1</a></i>
<br/>.= 
<span class="p1">(<span class="default"><font color="Maroon" title="c5">M1</font> <a href="altcat_1.html#K5" title="ALTCAT_1:func.5">*</a> <font color="Maroon" title="c4">A</font></span>)</span> <a href="altcat_1.html#K5" title="ALTCAT_1:func.5">*</a> <font color="Maroon" title="c6">M2</font>
<b>by </b><i><a class="txt" href="altcat_3.html#E1:6"><i><font color="Green" title="E5">A1</font></i></a>, <a class="ref" href="altcat_1.html#T25" title="ALTCAT_1:th.25">ALTCAT_1:25</a></i>
<br/>.= 
<span class="p1">(<span class="default"><a href="altcat_1.html#K8" title="ALTCAT_1:func.8">idm</a> <font color="Maroon" title="c2">o1</font></span>)</span> <a href="altcat_1.html#K5" title="ALTCAT_1:func.5">*</a> <font color="Maroon" title="c6">M2</font>
<b>by </b><i><a class="txt" href="altcat_3.html#E1:6_1_2"><i><font color="Green" title="E7">A6</font></i></a>, <a class="ref" href="altcat_3.html#D1" target="_self" title="ALTCAT_3:def.1">Def1</a></i>
<br/>.= 
<font color="Maroon" title="c6">M2</font>
<b>by </b><i><a class="txt" href="altcat_3.html#E1:6"><i><font color="Green" title="E5">A1</font></i></a>, <a class="ref" href="altcat_1.html#T24" title="ALTCAT_1:th.24">ALTCAT_1:24</a></i>
;<br/>


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