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<div>:: <span class="kw">deftheorem </span>   defines <a href="nomin_4.html#K11" title="NOMIN_4:func.11">gcd_conditional_step</a> <a onclick="hs(this)" href="javascript:()">NOMIN_4:def 17 : <br/></a><span> for <font color="Olive" title="b1">V</font>, <font color="Olive" title="b2">A</font> being    <a href="hidden.html#M2" title="HIDDEN:mode.2">set</a> <br/>  for <font color="Olive" title="b3">a</font>, <font color="Olive" title="b4">b</font> being    <a href="subset_1.html#M1" title="SUBSET_1:mode.1">Element</a> of <font color="Olive" title="b1">V</font> holds   <a href="nomin_4.html#K11" title="NOMIN_4:func.11">gcd_conditional_step</a> (<font color="Olive" title="b1">V</font>,<font color="Olive" title="b2">A</font>,<font color="Olive" title="b3">a</font>,<font color="Olive" title="b4">b</font>) <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="partpr_2.html#K13" title="PARTPR_2:func.13">PP_IF</a> (<span class="p1">(<span class="default"><a href="nomin_4.html#K7" title="NOMIN_4:func.7">less</a> (<font color="Olive" title="b2">A</font>,<font color="Olive" title="b4">b</font>,<font color="Olive" title="b3">a</font>)</span>)</span>,<span class="p1">(<span class="default"><a href="nomin_2.html#K6" title="NOMIN_2:func.6">SC_assignment</a> (<span class="p2">(<span class="default"><a href="nomin_4.html#K10" title="NOMIN_4:func.10">subtraction</a> (<font color="Olive" title="b2">A</font>,<font color="Olive" title="b3">a</font>,<font color="Olive" title="b4">b</font>)</span>)</span>,<font color="Olive" title="b3">a</font>)</span>)</span>,<span class="p1">(<span class="default"><a href="partpr_2.html#K3" title="PARTPR_2:func.3">PPid</a> <span class="p2">(<span class="default"><a href="nomin_1.html#K3" title="NOMIN_1:func.3">ND</a> (<font color="Olive" title="b1">V</font>,<font color="Olive" title="b2">A</font>)</span>)</span></span>)</span>);<br/></span></div>
