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<div><span class="kw">theorem </span><span class="lab"><font color="Green" title="E11">Th9</font></span>: <a NAME="T9"><span class="comment"><font color="firebrick">:: NAT_6:9</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">x</font>, <font color="Olive" title="b2">y</font>, <font color="Olive" title="b3">n</font> being   <a href="int_1.html#V1" title="INT_1:attr.1">integer</a>   <a href="ordinal1.html#NM2" title="ORDINAL1:NM.2">number</a>  holds <br/> ( <font color="Olive" title="b1">x</font>,<font color="Olive" title="b2">y</font> <a href="int_1.html#R2" title="INT_1:pred.2">are_congruent_mod</a> <font color="Olive" title="b3">n</font> iff  ex <font color="Olive" title="b4">k</font> being   <a href="int_1.html#NM1" title="INT_1:NM.1">Integer</a> st <font color="Olive" title="b1">x</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default"><font color="Olive" title="b4">k</font> <a href="xcmplx_0.html#K3" title="XCMPLX_0:func.3">*</a> <font color="Olive" title="b3">n</font></span>)</span> <a href="xcmplx_0.html#K2" title="XCMPLX_0:func.2">+</a> <font color="Olive" title="b2">y</font> )</div></div>
