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<div><span class="kw">theorem </span><a NAME="T34"><span class="comment"><font color="firebrick">:: ROUGHIF2:34</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">R</font> being   <a href="struct_0.html#V8" title="STRUCT_0:attr.8">finite</a>  <a href="roughs_1.html#NM1" title="ROUGHS_1:NM.1">Approximation_Space</a><br/>  for <font color="Olive" title="b2">X</font>, <font color="Olive" title="b3">Y</font>, <font color="Olive" title="b4">Z</font> being   <a href="struct_0.html#NM2" title="STRUCT_0:NM.2">Subset</a> of <font color="Olive" title="b1">R</font> holds  <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="roughif2.html#K3" title="ROUGHIF2:func.3">delta_1</a> <font color="Olive" title="b1">R</font></span>)</span> <a href="binop_1.html#K2" title="BINOP_1:func.2">.</a> (<font color="Olive" title="b2">X</font>,<font color="Olive" title="b3">Y</font>)</span>)</span> <a href="xcmplx_0.html#K2" title="XCMPLX_0:func.2">+</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="roughif2.html#K3" title="ROUGHIF2:func.3">delta_1</a> <font color="Olive" title="b1">R</font></span>)</span> <a href="binop_1.html#K2" title="BINOP_1:func.2">.</a> (<font color="Olive" title="b3">Y</font>,<font color="Olive" title="b4">Z</font>)</span>)</span> <a href="xxreal_0.html#NR2" title="XXREAL_0:NR.2">&gt;=</a> <span class="p1">(<span class="default"><a href="roughif2.html#K3" title="ROUGHIF2:func.3">delta_1</a> <font color="Olive" title="b1">R</font></span>)</span> <a href="binop_1.html#K2" title="BINOP_1:func.2">.</a> (<font color="Olive" title="b2">X</font>,<font color="Olive" title="b4">Z</font>)</div></div>
