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

<b>let </b><font color="Maroon">c<sub>1</sub></font> be    <a href="pre_topc.html#L1">TopStruct</a> ;<br/>

<b>reconsider </b><font color="Maroon">c<sub>2</sub></font> =  <a href="zfmisc_1.html#K1">bool</a> the <a href="struct_0.html#U1">carrier</a> of <font color="Maroon">c<sub>1</sub></font> as   <a href="struct_0.html#NM3">Subset-Family</a> of <font color="Maroon">c<sub>1</sub></font> <b>by </b><i><a class="ref" href="zfmisc_1.html#D1">ZFMISC_1:def 1</a></i>;<br/>
<b>reconsider </b><font color="Maroon">c<sub>3</sub></font> = <font color="Maroon">c<sub>2</sub></font> as   <a href="struct_0.html#NM3">Subset-Family</a> of <font color="Maroon">c<sub>1</sub></font> ;<br/>
<a NAME="E3:57"/>
<font color="Maroon">c<sub>3</sub></font> is    <a href="yellow13.html#M2" target="_self">basis</a> of <font color="Maroon">c<sub>1</sub></font>
 
<div><a class="txt" onclick="hs2(this)" href="javascript:()" title="57_1"><b>proof </b></a><div class="add">

<b>let </b><font color="Maroon">c<sub>4</sub></font> be   <a href="pre_topc.html#NM2">Point</a> of <font color="Maroon">c<sub>1</sub></font>; <i><font color="Red">:: according to </font></i><a class="ref" href="yellow13.html#D4" target="_self">YELLOW13:def 4</a><br/>

<b>thus </b><a NAME="E1:57_1"/>
<font color="Maroon">c<sub>3</sub></font> is    <a href="yellow13.html#M1" target="_self">basis</a> of <font color="Maroon">c<sub>4</sub></font>
 <b>by </b><i><a class="ref" href="yellow13.html#T18" target="_self">Th18</a></i>;<br/>


</div><b>end;</b></div>
<b>hence </b><a NAME="E4:57"/>
 <a href="zfmisc_1.html#K1">bool</a> the <a href="struct_0.html#U1">carrier</a> of <font color="Maroon">c<sub>1</sub></font> is    <a href="yellow13.html#M2" target="_self">basis</a> of <font color="Maroon">c<sub>1</sub></font>
 ;<br/>


</div>
