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<div><span class="kw">theorem </span><a NAME="T22"><span class="comment"><font color="firebrick">:: PRELAMB:22</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">s</font> being   <a href="prelamb.html#NM5" title="PRELAMB:NM.5">SynTypes_Calculus</a><br/>  for <font color="Olive" title="b2">x</font>, <font color="Olive" title="b3">y</font>, <font color="Olive" title="b4">z</font> being   <a href="prelamb.html#NM1" title="PRELAMB:NM.1">type</a> of <font color="Olive" title="b1">s</font> holds <br/> (  <a href="finseq_1.html#K6" title="FINSEQ_1:func.6">&lt;*&gt;</a>  the <a href="struct_0.html#U1" title="STRUCT_0:sel.1">carrier</a> of <font color="Olive" title="b1">s</font> <a href="prelamb.html#R2" title="PRELAMB:pred.2">==&gt;.</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><font color="Olive" title="b2">x</font> <a href="prelamb.html#K2" title="PRELAMB:func.2">/"</a> <font color="Olive" title="b4">z</font></span>)</span> <a href="prelamb.html#K2" title="PRELAMB:func.2">/"</a> <span class="p2">(<span class="default"><font color="Olive" title="b3">y</font> <a href="prelamb.html#K2" title="PRELAMB:func.2">/"</a> <font color="Olive" title="b4">z</font></span>)</span></span>)</span> <a href="prelamb.html#K2" title="PRELAMB:func.2">/"</a> <span class="p1">(<span class="default"><font color="Olive" title="b2">x</font> <a href="prelamb.html#K2" title="PRELAMB:func.2">/"</a> <font color="Olive" title="b3">y</font></span>)</span> &amp;  <a href="finseq_1.html#K6" title="FINSEQ_1:func.6">&lt;*&gt;</a>  the <a href="struct_0.html#U1" title="STRUCT_0:sel.1">carrier</a> of <font color="Olive" title="b1">s</font> <a href="prelamb.html#R2" title="PRELAMB:pred.2">==&gt;.</a> <span class="p1">(<span class="default"><font color="Olive" title="b3">y</font> <a href="prelamb.html#K1" title="PRELAMB:func.1">\</a> <font color="Olive" title="b2">x</font></span>)</span> <a href="prelamb.html#K1" title="PRELAMB:func.1">\</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><font color="Olive" title="b4">z</font> <a href="prelamb.html#K1" title="PRELAMB:func.1">\</a> <font color="Olive" title="b3">y</font></span>)</span> <a href="prelamb.html#K1" title="PRELAMB:func.1">\</a> <span class="p2">(<span class="default"><font color="Olive" title="b4">z</font> <a href="prelamb.html#K1" title="PRELAMB:func.1">\</a> <font color="Olive" title="b2">x</font></span>)</span></span>)</span> )</div></div>
