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<div><span class="kw">theorem </span><span class="lab"><font color="Green" title="E31">Th31</font></span>: <a NAME="T60"><span class="comment"><font color="firebrick">:: UNIFORM3:60</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">US</font> being   <a href="uniform2.html#V3" title="UNIFORM2:attr.3">upper</a>   <a href="uniform2.html#L1" title="UNIFORM2:struct.1">UniformSpaceStr</a>   st  ex <font color="Olive" title="b2">R</font> being   <a href="relset_1.html#NM2" title="RELSET_1:NM.2">Relation</a> of  the <a href="struct_0.html#U1" title="STRUCT_0:sel.1">carrier</a> of <font color="Olive" title="b1">US</font> st <br/>(  the <a href="uniform2.html#U1" title="UNIFORM2:sel.1">entourages</a> of <font color="Olive" title="b1">US</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="uniform3.html#K18" title="UNIFORM3:func.18">rho</a> <font color="Olive" title="b2">R</font> &amp;  <a href="setfam_1.html#K6" title="SETFAM_1:func.6">meet</a>  the <a href="uniform2.html#U1" title="UNIFORM2:sel.1">entourages</a> of <font color="Olive" title="b1">US</font> <a href="tarski.html#R2" title="TARSKI:pred.2">in</a>  the <a href="uniform2.html#U1" title="UNIFORM2:sel.1">entourages</a> of <font color="Olive" title="b1">US</font> ) holds <br/> the <a href="uniform2.html#U1" title="UNIFORM2:sel.1">entourages</a> of <font color="Olive" title="b1">US</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="uniform3.html#K18" title="UNIFORM3:func.18">rho</a> <span class="p1">(<span class="default"><a href="setfam_1.html#K6" title="SETFAM_1:func.6">meet</a>  the <a href="uniform2.html#U1" title="UNIFORM2:sel.1">entourages</a> of <font color="Olive" title="b1">US</font></span>)</span></div></div>
