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<b>let </b><font color="Maroon" title="c1">C</font> be   <a href="altcat_1.html#NM4" title="ALTCAT_1:NM.4">category</a>;<br/><b>let </b><font color="Maroon" title="c2">o1</font>, <font color="Maroon" title="c3">o2</font> be   <a href="altcat_1.html#NM1" title="ALTCAT_1:NM.1">object</a> of <span class="p1">(<span class="default"><a href="altcat_4.html#K1" title="ALTCAT_4:func.1">AllMono</a> <font color="Maroon" title="c1">C</font></span>)</span>;<br/><b>let </b><font color="Maroon" title="c4">m</font> be   <a href="altcat_1.html#NM2" title="ALTCAT_1:NM.2">Morphism</a> of <font color="Maroon" title="c2">o1</font>,<font color="Maroon" title="c3">o2</font>;<br/>





<b>assume </b><a NAME="E1:65"/><i><font color="Green" title="E39">A1</font></i>: 
<span class="p1"><a href="altcat_1.html#K1" title="ALTCAT_1:func.1">&lt;^</a><span class="default"><font color="Maroon" title="c2">o1</font>,<font color="Maroon" title="c3">o2</font></span><a href="altcat_1.html#K1" title="ALTCAT_1:func.1">^&gt;</a></span> <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a>  <a href="xboole_0.html#K1" title="XBOOLE_0:func.1">{}</a> 
 ;<br/>

<b>reconsider </b><font color="Maroon" title="c5">p1</font> = <font color="Maroon" title="c2">o1</font>, <font color="Maroon" title="c6">p2</font> = <font color="Maroon" title="c3">o2</font> as   <a href="altcat_1.html#NM1" title="ALTCAT_1:NM.1">object</a> of <font color="Maroon" title="c1">C</font> <b>by </b><i><a class="ref" href="altcat_4.html#D1" target="_self" title="ALTCAT_4:def.1">Def1</a></i>;<br/>
<b>reconsider </b><font color="Maroon" title="c7">p</font> = <font color="Maroon" title="c4">m</font> as   <a href="altcat_1.html#NM2" title="ALTCAT_1:NM.2">Morphism</a> of <font color="Maroon" title="c5">p1</font>,<font color="Maroon" title="c6">p2</font> <b>by </b><i><a class="txt" href="altcat_4.html#E1:65"><i><font color="Green" title="E39">A1</font></i></a>, <a class="ref" href="altcat_2.html#T34" title="ALTCAT_2:th.34">ALTCAT_2:34</a></i>;<br/>
<a NAME="E4:65"/>
<font color="Maroon" title="c7">p</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a> the <a href="altcat_1.html#U1" title="ALTCAT_1:sel.1">Arrows</a> of <span class="p1">(<span class="default"><a href="altcat_4.html#K1" title="ALTCAT_4:func.1">AllMono</a> <font color="Maroon" title="c1">C</font></span>)</span> <a href="binop_1.html#K1" title="BINOP_1:func.1">.</a> <font color="Maroon" title="c2">o1</font>,<font color="Maroon" title="c3">o2</font>
 
<b>by </b><i><a class="txt" href="altcat_4.html#E1:65"><i><font color="Green" title="E39">A1</font></i></a></i>;<br/>
<a NAME="E5:65"/><b>then </b>
( <span class="p1"><a href="altcat_1.html#K1" title="ALTCAT_1:func.1">&lt;^</a><span class="default"><font color="Maroon" title="c5">p1</font>,<font color="Maroon" title="c6">p2</font></span><a href="altcat_1.html#K1" title="ALTCAT_1:func.1">^&gt;</a></span> <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a>  <a href="xboole_0.html#K1" title="XBOOLE_0:func.1">{}</a>  &amp; <font color="Maroon" title="c7">p</font> is <a href="altcat_3.html#V4" title="ALTCAT_3:attr.4">mono</a> )
 
<b>by </b><i><a class="ref" href="altcat_4.html#D1" target="_self" title="ALTCAT_4:def.1">Def1</a></i>;<br/>
<b>hence </b><a NAME="E6:65"/>
<font color="Maroon" title="c4">m</font> is <a href="altcat_3.html#V4" title="ALTCAT_3:attr.4">mono</a>
 <b>by </b><i><a class="txt" href="altcat_4.html#E1:65"><i><font color="Green" title="E39">A1</font></i></a>, <a class="ref" href="altcat_4.html#T37" target="_self" title="ALTCAT_4:th.37">Th37</a></i>;<br/>


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