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<b>let </b><font color="Maroon" title="c1">E</font> be    <a href="hidden.html#M1" title="HIDDEN:mode.1">set</a> ;<br/><b>let </b><font color="Maroon" title="c2">S</font> be   <a href="rewrite2.html#NM1" title="REWRITE2:NM.1">semi-Thue-system</a> of <font color="Maroon" title="c1">E</font>;<br/><b>let </b><font color="Maroon" title="c3">t</font>, <font color="Maroon" title="c4">u</font> be    <a href="catalan2.html#M2" title="CATALAN2:mode.2">Element</a> of <font color="Maroon" title="c1">E</font> <a href="catalan2.html#K3" title="CATALAN2:func.3">^omega</a> ;<br/><b>let </b><font color="Maroon" title="c5">p</font> be    <a href="finseq_1.html#M2" title="FINSEQ_1:mode.2">FinSequence</a> of <font color="Maroon" title="c1">E</font> <a href="catalan2.html#K3" title="CATALAN2:func.3">^omega</a> ;<br/>









<b>assume </b><a NAME="E1:45"/>
<font color="Maroon" title="c5">p</font> is    <a href="rewrite1.html#M1" title="REWRITE1:mode.1">RedSequence</a> of  <a href="rewrite2.html#K9" title="REWRITE2:func.9">==&gt;.-relation</a> <font color="Maroon" title="c2">S</font>
 ;<br/>

<a NAME="E2:45"/><b>then </b>
<font color="Maroon" title="c3">t</font> <a href="rewrite2.html#K6" title="REWRITE2:func.6">^+</a> <font color="Maroon" title="c5">p</font> is    <a href="rewrite1.html#M1" title="REWRITE1:mode.1">RedSequence</a> of  <a href="rewrite2.html#K9" title="REWRITE2:func.9">==&gt;.-relation</a> <font color="Maroon" title="c2">S</font>
 
<b>by </b><i><a class="ref" href="rewrite2.html#T23" target="_self" title="REWRITE2:th.23">Th23</a></i>;<br/>
<b>hence </b><a NAME="E3:45"/>
<span class="p1">(<span class="default"><font color="Maroon" title="c3">t</font> <a href="rewrite2.html#K6" title="REWRITE2:func.6">^+</a> <font color="Maroon" title="c5">p</font></span>)</span> <a href="rewrite2.html#K7" title="REWRITE2:func.7">+^</a> <font color="Maroon" title="c4">u</font> is    <a href="rewrite1.html#M1" title="REWRITE1:mode.1">RedSequence</a> of  <a href="rewrite2.html#K9" title="REWRITE2:func.9">==&gt;.-relation</a> <font color="Maroon" title="c2">S</font>
 <b>by </b><i><a class="ref" href="rewrite2.html#T23" target="_self" title="REWRITE2:th.23">Th23</a></i>;<br/>


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