<?xml version="1.0"?>
<div class="add">

<b>let </b><font color="Maroon">c<sub>1</sub></font> be    <a href="hidden.html#M1">set</a> ;<br/><b>let </b><font color="Maroon">c<sub>2</sub></font> be   <a href="eqrel_1.html#NM1">Tolerance</a> of <font color="Maroon">c<sub>1</sub></font>;<br/>



<b>thus </b><a NAME="E1:19"/>
 <a href="coh_sp.html#K2" target="_self">CohSp</a> <font color="Maroon">c<sub>2</sub></font> <a href="tarski.html#R1">c=</a>  <a href="toler_1.html#K3">TolSets</a> <font color="Maroon">c<sub>2</sub></font>
  <i><font color="Red">:: according to </font></i><a class="ref" href="xboole_0.html#D10">XBOOLE_0:def 10</a><div><a class="txt" onclick="hs2(this)" href="javascript:()" title="19_1"><b>proof </b></a><div class="add">

<b>let </b><font color="Maroon">c<sub>3</sub></font> be    <a href="hidden.html#M1">set</a> ; <i><font color="Red">:: according to </font></i><a class="ref" href="tarski.html#D3">TARSKI:def 3</a><br/>

<b>assume </b><a NAME="E1:19_1"/>
<font color="Maroon">c<sub>3</sub></font> <a href="hidden.html#R2">in</a>  <a href="coh_sp.html#K2" target="_self">CohSp</a> <font color="Maroon">c<sub>2</sub></font>
 ;<br/>

<a NAME="E2:19_1"/><b>then </b>
<font color="Maroon">c<sub>3</sub></font> is    <a href="toler_1.html#M1">TolSet</a> of <font color="Maroon">c<sub>2</sub></font>
 
<b>by </b><i><a class="ref" href="coh_sp.html#T14" target="_self">Th14</a></i>;<br/>
<b>hence </b><a NAME="E3:19_1"/>
<font color="Maroon">c<sub>3</sub></font> <a href="hidden.html#R2">in</a>  <a href="toler_1.html#K3">TolSets</a> <font color="Maroon">c<sub>2</sub></font>
 <b>by </b><i><a class="ref" href="toler_1.html#D6">TOLER_1:def 6</a></i>;<br/>


</div><b>end;</b></div>

<b>let </b><font color="Maroon">c<sub>3</sub></font> be    <a href="hidden.html#M1">set</a> ; <i><font color="Red">:: according to </font></i><a class="ref" href="tarski.html#D3">TARSKI:def 3</a><br/>

<b>assume </b><a NAME="E2:19"/>
<font color="Maroon">c<sub>3</sub></font> <a href="hidden.html#R2">in</a>  <a href="toler_1.html#K3">TolSets</a> <font color="Maroon">c<sub>2</sub></font>
 ;<br/>

<a NAME="E3:19"/><b>then </b>
<font color="Maroon">c<sub>3</sub></font> is    <a href="toler_1.html#M1">TolSet</a> of <font color="Maroon">c<sub>2</sub></font>
 
<b>by </b><i><a class="ref" href="toler_1.html#D6">TOLER_1:def 6</a></i>;<br/>
<b>hence </b><a NAME="E4:19"/>
<font color="Maroon">c<sub>3</sub></font> <a href="hidden.html#R2">in</a>  <a href="coh_sp.html#K2" target="_self">CohSp</a> <font color="Maroon">c<sub>2</sub></font>
 <b>by </b><i><a class="ref" href="coh_sp.html#T14" target="_self">Th14</a></i>;<br/>


</div>
