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<b>let </b><font color="Maroon">s</font> be   <a href="prelamb.html#NM5">SynTypes_Calculus</a>;<br/><b>let </b><font color="Maroon">x</font> be   <a href="prelamb.html#NM1">type</a> of <font color="Maroon">s</font>;<br/><b>let </b><font color="Maroon">y</font> be   <a href="prelamb.html#NM1">type</a> of <font color="Maroon">s</font>;<br/><b>let </b><font color="Maroon">z</font> be   <a href="prelamb.html#NM1">type</a> of <font color="Maroon">s</font>;<br/>







<b>assume </b><a NAME="E1:57"/>
<span class="p1"><a href="finseq_1.html#K12">&lt;*</a><span class="default"><font color="Maroon">x</font></span><a href="finseq_1.html#K12">*&gt;</a></span> <a href="prelamb.html#R2" target="_self">==&gt;.</a> <font color="Maroon">y</font>
 ;<br/>

<a NAME="E2:57"/><b>then </b>
( <span class="p1"><a href="finseq_1.html#K12">&lt;*</a><span class="default"><font color="Maroon">x</font></span><a href="finseq_1.html#K12">*&gt;</a></span> <a href="prelamb.html#R2" target="_self">==&gt;.</a> <font color="Maroon">y</font> &amp; <span class="p1"><a href="finseq_1.html#K12">&lt;*</a><span class="default"><font color="Maroon">z</font></span><a href="finseq_1.html#K12">*&gt;</a></span> <a href="prelamb.html#R2" target="_self">==&gt;.</a> <font color="Maroon">z</font> )
 
<b>by </b><i/>;<br/>
<a NAME="E3:57"/><b>then </b>
( <span class="p1"><a href="finseq_1.html#K12">&lt;*</a><span class="default"><span class="p2">(<span class="default"><font color="Maroon">z</font> <a href="prelamb.html#K2" target="_self">/"</a> <font color="Maroon">y</font></span>)</span></span><a href="finseq_1.html#K12">*&gt;</a></span> <a href="finseq_1.html#K8">^</a> <span class="p1"><a href="finseq_1.html#K12">&lt;*</a><span class="default"><font color="Maroon">x</font></span><a href="finseq_1.html#K12">*&gt;</a></span> <a href="prelamb.html#R2" target="_self">==&gt;.</a> <font color="Maroon">z</font> &amp; <span class="p1"><a href="finseq_1.html#K12">&lt;*</a><span class="default"><font color="Maroon">x</font></span><a href="finseq_1.html#K12">*&gt;</a></span> <a href="finseq_1.html#K8">^</a> <span class="p1"><a href="finseq_1.html#K12">&lt;*</a><span class="default"><span class="p2">(<span class="default"><font color="Maroon">y</font> <a href="prelamb.html#K1" target="_self">\</a> <font color="Maroon">z</font></span>)</span></span><a href="finseq_1.html#K12">*&gt;</a></span> <a href="prelamb.html#R2" target="_self">==&gt;.</a> <font color="Maroon">z</font> )
 
<b>by </b><i>, </i>;<br/>
<b>hence </b><a NAME="E4:57"/>
( <span class="p1"><a href="finseq_1.html#K12">&lt;*</a><span class="default"><span class="p2">(<span class="default"><font color="Maroon">z</font> <a href="prelamb.html#K2" target="_self">/"</a> <font color="Maroon">y</font></span>)</span></span><a href="finseq_1.html#K12">*&gt;</a></span> <a href="prelamb.html#R2" target="_self">==&gt;.</a> <font color="Maroon">z</font> <a href="prelamb.html#K2" target="_self">/"</a> <font color="Maroon">x</font> &amp; <span class="p1"><a href="finseq_1.html#K12">&lt;*</a><span class="default"><span class="p2">(<span class="default"><font color="Maroon">y</font> <a href="prelamb.html#K1" target="_self">\</a> <font color="Maroon">z</font></span>)</span></span><a href="finseq_1.html#K12">*&gt;</a></span> <a href="prelamb.html#R2" target="_self">==&gt;.</a> <font color="Maroon">x</font> <a href="prelamb.html#K1" target="_self">\</a> <font color="Maroon">z</font> )
 <b>by </b><i/>;<br/>


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