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<div><span class="kw">theorem </span><a NAME="T17"><span class="comment"><font color="firebrick">:: NUMBER09:17</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">b</font> being   <a href="ordinal1.html#NM6" title="ORDINAL1:NM.6">Nat</a><br/>  for <font color="Olive" title="b2">a</font>, <font color="Olive" title="b3">m</font> being   non  <a href="ordinal1.html#V8" title="ORDINAL1:attr.8">zero</a>  <a href="ordinal1.html#NM6" title="ORDINAL1:NM.6">Nat</a>  st <font color="Olive" title="b2">a</font>,<font color="Olive" title="b1">b</font> <a href="int_2.html#R1" title="INT_2:pred.1">are_coprime</a>  holds <br/><span class="p1">(<span class="default"><a href="xtuple_0.html#K10" title="XTUPLE_0:func.10">rng</a> <span class="p2">(<span class="default"><a href="number06.html#K1" title="NUMBER06:func.1">ArProg</a> (<font color="Olive" title="b1">b</font>,<font color="Olive" title="b2">a</font>)</span>)</span></span>)</span> <a href="subset_1.html#K9" title="SUBSET_1:func.9">/\</a> <span class="p1">(<span class="default"><a href="number09.html#K1" title="NUMBER09:func.1">Coprimes</a> <font color="Olive" title="b3">m</font></span>)</span> is  <a href="finset_1.html#NV2" title="FINSET_1:NV.2">infinite</a> </div></div>
