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<div>:: <span class="kw">deftheorem </span>   defines <a href="fintopo8.html#V1" title="FINTOPO8:attr.1">continuous</a> <a onclick="hs(this)" href="javascript:()">FINTOPO8:def 7 : <br/></a><span> for <font color="Olive" title="b1">NTX</font>, <font color="Olive" title="b2">NTY</font> being   <a href="fintopo8.html#NM1" title="FINTOPO8:NM.1">NTopSpace</a><br/>  for <font color="Olive" title="b3">f</font> being   <a href="struct_0.html#NM6" title="STRUCT_0:NM.6">Function</a> of <font color="Olive" title="b1">NTX</font>,<font color="Olive" title="b2">NTY</font> holds <br/> ( <font color="Olive" title="b3">f</font> is  <a href="fintopo8.html#V1" title="FINTOPO8:attr.1">continuous</a>  iff  for <font color="Olive" title="b4">x</font> being   <a href="pre_topc.html#NM2" title="PRE_TOPC:NM.2">Point</a> of <font color="Olive" title="b1">NTX</font> holds  <font color="Olive" title="b3">f</font> <a href="fintopo8.html#R3" title="FINTOPO8:pred.3">is_continuous_at</a> <font color="Olive" title="b4">x</font> );<br/></span></div>
