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<b>let </b><font color="Maroon" title="c1">f</font> be  <a href="cohsp_1.html#V6" title="COHSP_1:attr.6">c=-monotone</a> <a href="funct_1.html#NM1" title="FUNCT_1:NM.1">Function</a>;<br/><b>let </b><font color="Maroon" title="c2">a</font>, <font color="Maroon" title="c3">b</font> be    <a href="hidden.html#M1" title="HIDDEN:mode.1">set</a> ;<br/>



<b>assume </b><a NAME="E1:67"/><i><font color="Green" title="E33">A1</font></i>: 
( <font color="Maroon" title="c3">b</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a>  <a href="relat_1.html#K1" title="RELAT_1:func.1">dom</a> <font color="Maroon" title="c1">f</font> &amp; <font color="Maroon" title="c2">a</font> <a href="tarski.html#R1" title="TARSKI:pred.1">c=</a> <font color="Maroon" title="c3">b</font> &amp; <font color="Maroon" title="c3">b</font> is <a href="finset_1.html#V1" title="FINSET_1:attr.1">finite</a> )
 ;<br/>

<b>let </b><font color="Maroon" title="c4">y</font> be    <a href="hidden.html#M1" title="HIDDEN:mode.1">set</a> ;<br/>

<b>assume </b><a NAME="E2:67"/><i><font color="Green" title="E34">A2</font></i>: 
<span class="p1"><a href="tarski.html#K4" title="TARSKI:func.4">[</a><span class="default"><font color="Maroon" title="c2">a</font>,<font color="Maroon" title="c4">y</font></span><a href="tarski.html#K4" title="TARSKI:func.4">]</a></span> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a>  <a href="cohsp_1.html#K5" title="COHSP_1:func.5">graph</a> <font color="Maroon" title="c1">f</font>
 ;<br/>

<a NAME="E3:67"/><b>then </b>
<font color="Maroon" title="c2">a</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a>  <a href="relat_1.html#K1" title="RELAT_1:func.1">dom</a> <font color="Maroon" title="c1">f</font>
 
<b>by </b><i><a class="ref" href="cohsp_1.html#T25" target="_self" title="COHSP_1:th.25">Th25</a></i>;<br/>
<a NAME="E4:67"/><b>then </b>
( <font color="Maroon" title="c4">y</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a> <font color="Maroon" title="c1">f</font> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Maroon" title="c2">a</font> &amp; <font color="Maroon" title="c1">f</font> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Maroon" title="c2">a</font> <a href="tarski.html#R1" title="TARSKI:pred.1">c=</a> <font color="Maroon" title="c1">f</font> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Maroon" title="c3">b</font> )
 
<b>by </b><i><a class="txt" href="cohsp_1.html#E1:67"><i><font color="Green" title="E33">A1</font></i></a>, <a class="txt" href="cohsp_1.html#E2:67"><i><font color="Green" title="E34">A2</font></i></a>, <a class="ref" href="cohsp_1.html#D12" target="_self" title="COHSP_1:def.12">Def12</a>, <a class="ref" href="cohsp_1.html#T25" target="_self" title="COHSP_1:th.25">Th25</a></i>;<br/>
<b>hence </b><a NAME="E5:67"/>
<span class="p1"><a href="tarski.html#K4" title="TARSKI:func.4">[</a><span class="default"><font color="Maroon" title="c3">b</font>,<font color="Maroon" title="c4">y</font></span><a href="tarski.html#K4" title="TARSKI:func.4">]</a></span> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a>  <a href="cohsp_1.html#K5" title="COHSP_1:func.5">graph</a> <font color="Maroon" title="c1">f</font>
 <b>by </b><i><a class="txt" href="cohsp_1.html#E1:67"><i><font color="Green" title="E33">A1</font></i></a>, <a class="ref" href="cohsp_1.html#T25" target="_self" title="COHSP_1:th.25">Th25</a></i>;<br/>


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