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<div><span class="kw">theorem </span><a NAME="T29"><span class="comment"><font color="firebrick">:: UNIFORM2:29</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">T</font> being   <a href="pre_topc.html#NM1" title="PRE_TOPC:NM.1">TopSpace</a><br/>  for <font color="Olive" title="b2">QU</font> being   non  <a href="uniform2.html#V2" title="UNIFORM2:attr.2">void</a>  <a href="uniform2.html#NM1" title="UNIFORM2:NM.1">Quasi-UniformSpace</a>  st  the <a href="struct_0.html#U1" title="STRUCT_0:sel.1">carrier</a> of <font color="Olive" title="b1">T</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  the <a href="struct_0.html#U1" title="STRUCT_0:sel.1">carrier</a> of <font color="Olive" title="b2">QU</font> &amp;  <a href="uniform2.html#K15" title="UNIFORM2:func.15">subbasis_Pervin_quasi_uniformity</a> <font color="Olive" title="b1">T</font> <a href="tarski.html#R1" title="TARSKI:pred.1">c=</a>  the <a href="uniform2.html#U1" title="UNIFORM2:sel.1">entourages</a> of <font color="Olive" title="b2">QU</font> holds <br/> the <a href="uniform2.html#U1" title="UNIFORM2:sel.1">entourages</a> of <span class="p1">(<span class="default"><a href="uniform2.html#K17" title="UNIFORM2:func.17">Pervin_quasi_uniformity</a> <font color="Olive" title="b1">T</font></span>)</span> <a href="tarski.html#R1" title="TARSKI:pred.1">c=</a>  the <a href="uniform2.html#U1" title="UNIFORM2:sel.1">entourages</a> of <font color="Olive" title="b2">QU</font></div></div>
