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<div><span class="kw">theorem </span><span class="lab"><font color="Green" title="E9">Th11</font></span>: <a NAME="T13"><span class="comment"><font color="firebrick">:: UNIFORM2:13</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">USS</font> being   non  <a href="struct_0.html#V2" title="STRUCT_0:attr.2">empty</a>   <a href="uniform2.html#V4" title="UNIFORM2:attr.4">cap-closed</a>   <a href="uniform2.html#V5" title="UNIFORM2:attr.5">axiom_U1</a>   <a href="uniform2.html#L1" title="UNIFORM2:struct.1">UniformSpaceStr</a> <br/>  for <font color="Olive" title="b2">x</font> being   <a href="struct_0.html#NM1" title="STRUCT_0:NM.1">Element</a> of <font color="Olive" title="b1">USS</font><br/>  for <font color="Olive" title="b3">V</font>, <font color="Olive" title="b4">W</font> being    <a href="subset_1.html#M1" title="SUBSET_1:mode.1">Element</a> of  the <a href="uniform2.html#U1" title="UNIFORM2:sel.1">entourages</a> of <font color="Olive" title="b1">USS</font> holds  <span class="p1">(<span class="default"><a href="uniform2.html#K8" title="UNIFORM2:func.8">Neighborhood</a> (<font color="Olive" title="b3">V</font>,<font color="Olive" title="b2">x</font>)</span>)</span> <a href="subset_1.html#K9" title="SUBSET_1:func.9">/\</a> <span class="p1">(<span class="default"><a href="uniform2.html#K8" title="UNIFORM2:func.8">Neighborhood</a> (<font color="Olive" title="b4">W</font>,<font color="Olive" title="b2">x</font>)</span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="uniform2.html#K8" title="UNIFORM2:func.8">Neighborhood</a> (<span class="p1">(<span class="default"><font color="Olive" title="b3">V</font> <a href="uniform2.html#K9" title="UNIFORM2:func.9">/\</a> <font color="Olive" title="b4">W</font></span>)</span>,<font color="Olive" title="b2">x</font>)</div></div>
