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<div><span class="kw">theorem </span><a NAME="T15"><span class="comment"><font color="firebrick">:: ARYTM_1:15</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">z</font> being    <a href="subset_1.html#M1" title="SUBSET_1:mode.1">Element</a> of  <a href="arytm_2.html#K2" title="ARYTM_2:func.2">REAL+</a>   st <font color="Olive" title="b2">y</font> <a href="arytm_2.html#R1" title="ARYTM_2:pred.1">&lt;='</a> <font color="Olive" title="b1">x</font> &amp; <font color="Olive" title="b2">y</font> <a href="arytm_2.html#R1" title="ARYTM_2:pred.1">&lt;='</a> <font color="Olive" title="b3">z</font> holds <br/><span class="p1">(<span class="default"><font color="Olive" title="b3">z</font> <a href="arytm_1.html#K1" title="ARYTM_1:func.1">-'</a> <font color="Olive" title="b2">y</font></span>)</span> <a href="arytm_2.html#K7" title="ARYTM_2:func.7">+</a> <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="b1">x</font> <a href="arytm_1.html#K1" title="ARYTM_1:func.1">-'</a> <font color="Olive" title="b2">y</font></span>)</span> <a href="arytm_2.html#K7" title="ARYTM_2:func.7">+</a> <font color="Olive" title="b3">z</font></div></div>
