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<div><span class="kw">theorem </span><a NAME="T23"><span class="comment"><font color="firebrick">:: DECOMP_1:23</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">X</font>, <font color="Olive" title="b2">Y</font> being   non  <a href="struct_0.html#V2" title="STRUCT_0:attr.2">empty</a>  <a href="pre_topc.html#NM1" title="PRE_TOPC:NM.1">TopSpace</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">X</font>,<font color="Olive" title="b2">Y</font> holds <br/> ( <font color="Olive" title="b3">f</font> is  <a href="decomp_1.html#V5" title="DECOMP_1:attr.5">s-continuous</a>  iff ( <font color="Olive" title="b3">f</font> is  <a href="decomp_1.html#V8" title="DECOMP_1:attr.8">ps-continuous</a>  &amp; <font color="Olive" title="b3">f</font> is  <a href="decomp_1.html#V14" title="DECOMP_1:attr.14">(alpha,p)-continuous</a>  ) )</div></div>
