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<b>let </b><font color="Maroon">c<sub>1</sub></font> be   <a href="funct_1.html#NM1">Function</a>;<br/>

<div><b>hereby </b>
<div class="add"><b>assume </b><a NAME="E1:6_1"/>
( <font color="Maroon">c<sub>1</sub></font> is <a href="finset_1.html#V1">finite</a> &amp; <font color="Maroon">c<sub>1</sub></font> is <a href="ordinal1.html#V5">T-Sequence-like</a> )
 ;<br/><a NAME="E2:6_1"/><b>then </b>
(  <a href="relat_1.html#K1">dom</a> <font color="Maroon">c<sub>1</sub></font> is <a href="finset_1.html#V1">finite</a> &amp;  <a href="relat_1.html#K1">dom</a> <font color="Maroon">c<sub>1</sub></font> is   <a href="ordinal1.html#NM2">Ordinal</a> )
 <b>by </b><i><a class="ref" href="finset_1.html#T29">FINSET_1:29</a>, <a class="ref" href="ordinal1.html#D7">ORDINAL1:def 7</a></i>;<br/><a NAME="E3:6_1"/><b>then </b>
 <a href="relat_1.html#K1">dom</a> <font color="Maroon">c<sub>1</sub></font> <a href="hidden.html#R2">in</a>  <a href="ordinal1.html#K5">omega</a> 
 <b>by </b><i><a class="ref" href="card_4.html#T7">CARD_4:7</a></i>;<br/><b>hence </b><a NAME="E4:6_1"/>
ex <font color="Olive">b<sub>1</sub></font> being  <a href="nat_1.html#NM1">Nat</a> st  <a href="relat_1.html#K1">dom</a> <font color="Maroon">c<sub>1</sub></font> <a href="hidden.html#R1">=</a> <font color="Olive">b<sub>1</sub></font>
 ;<br/></div>
<b>end;</b></div>

<b>assume </b><a NAME="E2:6"/>
ex <font color="Olive">b<sub>1</sub></font> being  <a href="nat_1.html#NM1">Nat</a> st  <a href="relat_1.html#K1">dom</a> <font color="Maroon">c<sub>1</sub></font> <a href="hidden.html#R1">=</a> <font color="Olive">b<sub>1</sub></font>
 ;<br/>

<b>hence </b><a NAME="E3:6"/>
( <font color="Maroon">c<sub>1</sub></font> is <a href="finset_1.html#V1">finite</a> &amp; <font color="Maroon">c<sub>1</sub></font> is <a href="ordinal1.html#V5">T-Sequence-like</a> )
 <b>by </b><i><a class="ref" href="finset_1.html#T29">FINSET_1:29</a>, <a class="ref" href="ordinal1.html#D7">ORDINAL1:def 7</a></i>;<br/>


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