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<b>let </b><font color="Maroon" title="c1">R</font>, <font color="Maroon" title="c2">S</font>, <font color="Maroon" title="c3">T</font> be  non <a href="struct_0.html#V2" title="STRUCT_0:attr.2">empty</a>  <a href="orders_2.html#L1" title="ORDERS_2:struct.1">RelStr</a> ;<br/>

<b>assume </b><a NAME="E1:21"/>
( <font color="Maroon" title="c1">R</font> <a href="necklace.html#R3" title="NECKLACE:pred.3">is_equimorphic_to</a> <font color="Maroon" title="c2">S</font> &amp; <font color="Maroon" title="c2">S</font> <a href="necklace.html#R3" title="NECKLACE:pred.3">is_equimorphic_to</a> <font color="Maroon" title="c3">T</font> )
 ;<br/>

<a NAME="E2:21"/><b>then </b>
( <font color="Maroon" title="c1">R</font> <a href="necklace.html#R2" title="NECKLACE:pred.2">embeds</a> <font color="Maroon" title="c2">S</font> &amp; <font color="Maroon" title="c2">S</font> <a href="necklace.html#R2" title="NECKLACE:pred.2">embeds</a> <font color="Maroon" title="c1">R</font> &amp; <font color="Maroon" title="c2">S</font> <a href="necklace.html#R2" title="NECKLACE:pred.2">embeds</a> <font color="Maroon" title="c3">T</font> &amp; <font color="Maroon" title="c3">T</font> <a href="necklace.html#R2" title="NECKLACE:pred.2">embeds</a> <font color="Maroon" title="c2">S</font> )
 
<b>by </b><i><a class="ref" href="necklace.html#D3" target="_self" title="NECKLACE:def.3">Def3</a></i>;<br/>
<a NAME="E3:21"/><b>then </b>
( <font color="Maroon" title="c1">R</font> <a href="necklace.html#R2" title="NECKLACE:pred.2">embeds</a> <font color="Maroon" title="c3">T</font> &amp; <font color="Maroon" title="c3">T</font> <a href="necklace.html#R2" title="NECKLACE:pred.2">embeds</a> <font color="Maroon" title="c1">R</font> )
 
<b>by </b><i><a class="ref" href="necklace.html#T13" target="_self" title="NECKLACE:th.13">Th13</a></i>;<br/>
<b>hence </b><a NAME="E4:21"/>
<font color="Maroon" title="c1">R</font> <a href="necklace.html#R3" title="NECKLACE:pred.3">is_equimorphic_to</a> <font color="Maroon" title="c3">T</font>
 <b>by </b><i><a class="ref" href="necklace.html#D3" target="_self" title="NECKLACE:def.3">Def3</a></i>;<br/>


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