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<b>let </b><font color="Maroon" title="c4">f</font> be   <a href="altcat_1.html#NM2" title="ALTCAT_1:NM.2">Morphism</a> of <font color="Maroon" title="c2">a</font>,<font color="Maroon" title="c3">b</font>; <a class="txt" onclick="hs(this)" href="javascript:()"><i><font color="Red">::  thesis: </font></i></a><span class="hide"> ( <font color="Maroon" title="c4">f</font> is <a href="funct_1.html#V1" title="FUNCT_1:attr.1">Function-like</a> &amp; <font color="Maroon" title="c4">f</font> is <a href="relat_1.html#V1" title="RELAT_1:attr.1">Relation-like</a> )</span><br/>

<div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="71_1_1_1"><b>per </b></a><a class="txt" onclick="hs(this)" href="javascript:()"><b>cases </b></a><span class="hide"><a NAME="E1:71_1_1_1"/>
( <span class="p1"><a href="altcat_1.html#K1" title="ALTCAT_1:func.1">&lt;^</a><span class="default"><font color="Maroon" title="c2">a</font>,<font color="Maroon" title="c3">b</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>  or <span class="p1"><a href="altcat_1.html#K1" title="ALTCAT_1:func.1">&lt;^</a><span class="default"><font color="Maroon" title="c2">a</font>,<font color="Maroon" title="c3">b</font></span><a href="altcat_1.html#K1" title="ALTCAT_1:func.1">^&gt;</a></span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="xboole_0.html#K1" title="XBOOLE_0:func.1">{}</a>  )
 </span>;<br/><div class="add"><div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="71_1_1_1_1"><b>suppose </b></a><a NAME="E1:71_1_1_1_1"/>
<span class="p1"><a href="altcat_1.html#K1" title="ALTCAT_1:func.1">&lt;^</a><span class="default"><font color="Maroon" title="c2">a</font>,<font color="Maroon" title="c3">b</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> 
 ; <a class="txt" onclick="hs(this)" href="javascript:()"><i><font color="Red">::  thesis: </font></i></a><span class="hide"> ( <font color="Maroon" title="c4">f</font> is <a href="funct_1.html#V1" title="FUNCT_1:attr.1">Function-like</a> &amp; <font color="Maroon" title="c4">f</font> is <a href="relat_1.html#V1" title="RELAT_1:attr.1">Relation-like</a> )</span><br/><div class="add"><b>hence </b><a NAME="E2:71_1_1_1_1"/>
( <font color="Maroon" title="c4">f</font> is <a href="funct_1.html#V1" title="FUNCT_1:attr.1">Function-like</a> &amp; <font color="Maroon" title="c4">f</font> is <a href="relat_1.html#V1" title="RELAT_1:attr.1">Relation-like</a> )
 <b>by </b><i><a class="ref" href="yellow18.html#T35" target="_self" title="YELLOW18:th.35">Th35</a></i>; <a class="txt" onclick="hs(this)" href="javascript:()"><i><font color="Red">::  thesis: </font></i></a><span class="hide"> verum</span><br/></div><b>end;</b></div><div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="71_1_1_1_2"><b>suppose </b></a><a NAME="E1:71_1_1_1_2"/>
<span class="p1"><a href="altcat_1.html#K1" title="ALTCAT_1:func.1">&lt;^</a><span class="default"><font color="Maroon" title="c2">a</font>,<font color="Maroon" title="c3">b</font></span><a href="altcat_1.html#K1" title="ALTCAT_1:func.1">^&gt;</a></span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="xboole_0.html#K1" title="XBOOLE_0:func.1">{}</a> 
 ; <a class="txt" onclick="hs(this)" href="javascript:()"><i><font color="Red">::  thesis: </font></i></a><span class="hide"> ( <font color="Maroon" title="c4">f</font> is <a href="funct_1.html#V1" title="FUNCT_1:attr.1">Function-like</a> &amp; <font color="Maroon" title="c4">f</font> is <a href="relat_1.html#V1" title="RELAT_1:attr.1">Relation-like</a> )</span><br/><div class="add"><b>hence </b><a NAME="E2:71_1_1_1_2"/>
( <font color="Maroon" title="c4">f</font> is <a href="funct_1.html#V1" title="FUNCT_1:attr.1">Function-like</a> &amp; <font color="Maroon" title="c4">f</font> is <a href="relat_1.html#V1" title="RELAT_1:attr.1">Relation-like</a> )
 <b>by </b><i><a class="ref" href="subset_1.html#D2" title="SUBSET_1:def.2">SUBSET_1:def 2</a></i>; <a class="txt" onclick="hs(this)" href="javascript:()"><i><font color="Red">::  thesis: </font></i></a><span class="hide"> verum</span><br/></div><b>end;</b></div></div><b>end;</b></div>

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