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<div>:: <span class="kw">deftheorem </span><span class="lab"><font color="Green" title="E34">Def8</font></span>   defines <a href="rltopsp1.html#V6" title="RLTOPSP1:attr.6">add-continuous</a> <a onclick="hs(this)" href="javascript:()">RLTOPSP1:def 8 : <br/></a><span> for <font color="Olive" title="b1">X</font> being   non  <a href="struct_0.html#V2" title="STRUCT_0:attr.2">empty</a>   <a href="rltopsp1.html#L1" title="RLTOPSP1:struct.1">RLTopStruct</a>  holds <br/> ( <font color="Olive" title="b1">X</font> is  <a href="rltopsp1.html#V6" title="RLTOPSP1:attr.6">add-continuous</a>  iff  for <font color="Olive" title="b2">x1</font>, <font color="Olive" title="b3">x2</font> being   <a href="pre_topc.html#NM2" title="PRE_TOPC:NM.2">Point</a> of <font color="Olive" title="b1">X</font><br/>  for <font color="Olive" title="b4">V</font> being   <a href="struct_0.html#NM2" title="STRUCT_0:NM.2">Subset</a> of <font color="Olive" title="b1">X</font>  st <font color="Olive" title="b4">V</font> is  <a href="pre_topc.html#V3" title="PRE_TOPC:attr.3">open</a>  &amp; <font color="Olive" title="b2">x1</font> <a href="algstr_0.html#K1" title="ALGSTR_0:func.1">+</a> <font color="Olive" title="b3">x2</font> <a href="tarski.html#R2" title="TARSKI:pred.2">in</a> <font color="Olive" title="b4">V</font> holds <br/> ex <font color="Olive" title="b5">V1</font>, <font color="Olive" title="b6">V2</font> being   <a href="struct_0.html#NM2" title="STRUCT_0:NM.2">Subset</a> of <font color="Olive" title="b1">X</font> st <br/>( <font color="Olive" title="b5">V1</font> is  <a href="pre_topc.html#V3" title="PRE_TOPC:attr.3">open</a>  &amp; <font color="Olive" title="b6">V2</font> is  <a href="pre_topc.html#V3" title="PRE_TOPC:attr.3">open</a>  &amp; <font color="Olive" title="b2">x1</font> <a href="tarski.html#R2" title="TARSKI:pred.2">in</a> <font color="Olive" title="b5">V1</font> &amp; <font color="Olive" title="b3">x2</font> <a href="tarski.html#R2" title="TARSKI:pred.2">in</a> <font color="Olive" title="b6">V2</font> &amp; <font color="Olive" title="b5">V1</font> <a href="rusub_4.html#K6" title="RUSUB_4:func.6">+</a> <font color="Olive" title="b6">V2</font> <a href="tarski.html#R1" title="TARSKI:pred.1">c=</a> <font color="Olive" title="b4">V</font> ) );<br/></span></div>
