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<div>:: <span class="kw">deftheorem </span>   defines <a href="rltopsp1.html#V8" title="RLTOPSP1:attr.8">locally-convex</a> <a onclick="hs(this)" href="javascript:()">RLTOPSP1:def 11 : <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#V8" title="RLTOPSP1:attr.8">locally-convex</a>  iff  ex <font color="Olive" title="b2">P</font> being   <a href="rltopsp1.html#NM2" title="RLTOPSP1:NM.2">local_base</a> of <font color="Olive" title="b1">X</font> st <font color="Olive" title="b2">P</font> is  <a href="rltopsp1.html#V1" title="RLTOPSP1:attr.1">convex-membered</a>  );<br/></span></div>
