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<div>:: <span class="kw">deftheorem </span>   defines <a href="number05.html#R1" title="NUMBER05:pred.1">satisfy_Sierpinski_problem_35</a> <a onclick="hs(this)" href="javascript:()">NUMBER05:def 2 : <br/></a><span> for <font color="Olive" title="b1">x</font>, <font color="Olive" title="b2">y</font> being   <a href="ordinal1.html#NM6" title="ORDINAL1:NM.6">Nat</a> holds <br/> ( <font color="Olive" title="b1">x</font>,<font color="Olive" title="b2">y</font> <a href="number05.html#R1" title="NUMBER05:pred.1">satisfy_Sierpinski_problem_35</a>  iff ( <font color="Olive" title="b1">x</font> <a href="xcmplx_0.html#K3" title="XCMPLX_0:func.3">*</a> <span class="p1">(<span class="default"><font color="Olive" title="b1">x</font> <a href="nat_1.html#K1" title="NAT_1:func.1">+</a> 1</span>)</span> <a href="nat_d.html#R1" title="NAT_D:pred.1">divides</a> <font color="Olive" title="b2">y</font> <a href="xcmplx_0.html#K3" title="XCMPLX_0:func.3">*</a> <span class="p1">(<span class="default"><font color="Olive" title="b2">y</font> <a href="nat_1.html#K1" title="NAT_1:func.1">+</a> 1</span>)</span> &amp;  not <font color="Olive" title="b1">x</font> <a href="nat_d.html#R1" title="NAT_D:pred.1">divides</a> <font color="Olive" title="b2">y</font> &amp;  not <font color="Olive" title="b1">x</font> <a href="nat_1.html#K1" title="NAT_1:func.1">+</a> 1 <a href="nat_d.html#R1" title="NAT_D:pred.1">divides</a> <font color="Olive" title="b2">y</font> &amp;  not <font color="Olive" title="b1">x</font> <a href="nat_d.html#R1" title="NAT_D:pred.1">divides</a> <font color="Olive" title="b2">y</font> <a href="nat_1.html#K1" title="NAT_1:func.1">+</a> 1 &amp;  not <font color="Olive" title="b1">x</font> <a href="nat_1.html#K1" title="NAT_1:func.1">+</a> 1 <a href="nat_d.html#R1" title="NAT_D:pred.1">divides</a> <font color="Olive" title="b2">y</font> <a href="nat_1.html#K1" title="NAT_1:func.1">+</a> 1 ) );<br/></span></div>
