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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="finseq_1.html#M2">FinSequence</a> of the <a href="struct_0.html#U1">carrier</a> of <font color="Maroon">s</font>;<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="E1:50"/>
<span class="p1">(<span class="default"><font color="Maroon">X</font> <a href="finseq_1.html#K8">^</a> <span class="p2"><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></span>)</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">y</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>
 ;<br/>

<a NAME="E2:50"/><b>then </b>
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><font color="Maroon">X</font> <a href="finseq_1.html#K8">^</a> <span class="p3"><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></span>)</span> <a href="finseq_1.html#K8">^</a> <span class="p2"><a href="finseq_1.html#K12">&lt;*</a><span class="default"><font color="Maroon">y</font></span><a href="finseq_1.html#K12">*&gt;</a></span></span>)</span> <a href="finseq_1.html#K8">^</a> <font color="Maroon">H<sub>2</sub></font>(<font color="Maroon">s</font>) <a href="prelamb.html#R2" target="_self">==&gt;.</a> <font color="Maroon">z</font>
 
<b>by </b><i><a class="ref" href="finseq_1.html#T47">FINSEQ_1:47</a></i>;<br/>
<a NAME="E3:50"/><b>then </b>
<span class="p1">(<span class="default"><font color="Maroon">X</font> <a href="finseq_1.html#K8">^</a> <span class="p2"><a href="finseq_1.html#K12">&lt;*</a><span class="default"><span class="p3">(<span class="default"><font color="Maroon">x</font> <a href="prelamb.html#K3" target="_self">*</a> <font color="Maroon">y</font></span>)</span></span><a href="finseq_1.html#K12">*&gt;</a></span></span>)</span> <a href="finseq_1.html#K8">^</a> <font color="Maroon">H<sub>2</sub></font>(<font color="Maroon">s</font>) <a href="prelamb.html#R2" target="_self">==&gt;.</a> <font color="Maroon">z</font>
 
<b>by </b><i/>;<br/>
<b>hence </b><a NAME="E4:50"/>
<font color="Maroon">X</font> <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">x</font> <a href="prelamb.html#K3" 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>
 <b>by </b><i><a class="ref" href="finseq_1.html#T47">FINSEQ_1:47</a></i>;<br/>


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