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<div><span class="kw">theorem </span><a NAME="T15"><span class="comment"><font color="firebrick">:: SCMP_GCD:15</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">p</font> being   <a href="memstr_0.html#NM4" title="MEMSTR_0:NM.4">FinPartState</a> of <a href="scmpds_2.html#K1" title="SCMPDS_2:func.1">SCMPDS</a><br/>  for <font color="Olive" title="b2">x</font>, <font color="Olive" title="b3">y</font> being   <a href="int_1.html#NM1" title="INT_1:NM.1">Integer</a>  st <font color="Olive" title="b3">y</font> <a href="xxreal_0.html#NR2" title="XXREAL_0:NR.2">&gt;=</a>  <a href="numbers.html#K5" title="NUMBERS:func.5">0</a>  &amp; <font color="Olive" title="b2">x</font> <a href="xxreal_0.html#NR2" title="XXREAL_0:NR.2">&gt;=</a> <font color="Olive" title="b3">y</font> &amp; <font color="Olive" title="b1">p</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 9</span>)</span>,<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 10</span>)</span>) <a href="funct_4.html#K6" title="FUNCT_4:func.6">--&gt;</a> (<font color="Olive" title="b2">x</font>,<font color="Olive" title="b3">y</font>) holds <br/> <a href="memstr_0.html#K8" title="MEMSTR_0:func.8">Initialize</a> <font color="Olive" title="b1">p</font> is  <a href="scmp_gcd.html#K4" title="SCMP_GCD:func.4">GCD-Algorithm</a>  <a href="extpro_1.html#V4" title="EXTPRO_1:attr.4">-autonomic</a> </div></div>
