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<div><span class="kw">theorem </span><span class="lab"><font color="Green" title="E21">Th31</font></span>: <a NAME="T32"><span class="comment"><font color="firebrick">:: UNIFORM2:32</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">UT</font> being   non  <a href="struct_0.html#V2" title="STRUCT_0:attr.2">empty</a>   <a href="uniform2.html#V1" title="UNIFORM2:attr.1">strict</a>  <a href="uniform2.html#NM1" title="UNIFORM2:NM.1">Quasi-UniformSpace</a><br/>  for <font color="Olive" title="b2">FMT</font> being   non  <a href="struct_0.html#V2" title="STRUCT_0:attr.2">empty</a>   <a href="fintopo2.html#V1" title="FINTOPO2:attr.1">strict</a>   <a href="fintopo2.html#L1" title="FINTOPO2:struct.1">FMT_Space_Str</a> <br/>  for <font color="Olive" title="b3">x</font> being   <a href="struct_0.html#NM1" title="STRUCT_0:NM.1">Element</a> of <font color="Olive" title="b2">FMT</font>  st <font color="Olive" title="b2">FMT</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="fintopo2.html#G1" title="FINTOPO2:aggr.1">FMT_Space_Str</a>(#  the <a href="struct_0.html#U1" title="STRUCT_0:sel.1">carrier</a> of <font color="Olive" title="b1">UT</font>,<span class="p1">(<span class="default"><a href="uniform2.html#K11" title="UNIFORM2:func.11">Neighborhood</a> <font color="Olive" title="b1">UT</font></span>)</span> #) holds <br/> ex <font color="Olive" title="b4">y</font> being   <a href="struct_0.html#NM1" title="STRUCT_0:NM.1">Element</a> of <font color="Olive" title="b1">UT</font> st <br/>( <font color="Olive" title="b3">x</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b4">y</font> &amp;  <a href="fintopo2.html#K6" title="FINTOPO2:func.6">U_FMT</a> <font color="Olive" title="b3">x</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="uniform2.html#K10" title="UNIFORM2:func.10">Neighborhood</a> <font color="Olive" title="b4">y</font> )</div></div>
