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<a NAME="E1:96_1_1"/>
 ex <font color="Olive" title="b1">Q</font> being <a href="rewrite1.html#V10" title="REWRITE1:attr.10">complete</a> <a href="relat_1.html#NM1" title="RELAT_1:NM.1">Relation</a> st <br/>(  <a href="relat_1.html#K3" title="RELAT_1:func.3">field</a> <font color="Olive" title="b1">Q</font> <a href="tarski.html#R1" title="TARSKI:pred.1">c=</a>  <a href="relat_1.html#K3" title="RELAT_1:func.3">field</a> <font color="Maroon" title="c1">R</font> &amp; ( for <font color="Olive" title="b2">a</font>, <font color="Olive" title="b3">b</font> being   <a href="hidden.html#M1" title="HIDDEN:mode.1">set</a>  holds <br/> ( <font color="Olive" title="b2">a</font>,<font color="Olive" title="b3">b</font> <a href="rewrite1.html#R2" title="REWRITE1:pred.2">are_convertible_wrt</a> <font color="Maroon" title="c1">R</font> iff <font color="Olive" title="b2">a</font>,<font color="Olive" title="b3">b</font> <a href="rewrite1.html#R5" title="REWRITE1:pred.5">are_convergent_wrt</a> <font color="Olive" title="b1">Q</font> ) ) )
 
<b>by </b><i><a class="ref" href="rewrite1.html#T63" target="_self" title="REWRITE1:th.63">Th63</a></i>;<br/>
<b>hence </b><a NAME="E2:96_1_1"/>
 ex <font color="Olive">b<sub>1</sub></font> being <a href="rewrite1.html#V10" title="REWRITE1:attr.10">complete</a> <a href="relat_1.html#NM1" title="RELAT_1:NM.1">Relation</a> st <br/>for <font color="Olive" title="b2">a</font>, <font color="Olive" title="b3">b</font> being   <a href="hidden.html#M1" title="HIDDEN:mode.1">set</a>  holds <br/> ( <font color="Olive" title="b2">a</font>,<font color="Olive" title="b3">b</font> <a href="rewrite1.html#R2" title="REWRITE1:pred.2">are_convertible_wrt</a> <font color="Maroon" title="c1">R</font> iff <font color="Olive" title="b2">a</font>,<font color="Olive" title="b3">b</font> <a href="rewrite1.html#R5" title="REWRITE1:pred.5">are_convergent_wrt</a> <font color="Olive">b<sub>1</sub></font> )
 ; <a class="txt" onclick="hs(this)" href="javascript:()"><i><font color="Red">::  thesis: </font></i></a><span class="hide"> verum</span><br/>


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