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<div><span class="kw">theorem </span><span class="lab"><font color="Green" title="E22">Th20</font></span>: <a NAME="T20"><span class="comment"><font color="firebrick">:: METRIZTS:20</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">TM</font> being   <a href="pcomps_1.html#V3" title="PCOMPS_1:attr.3">metrizable</a>  <a href="pre_topc.html#NM1" title="PRE_TOPC:NM.1">TopSpace</a><br/>  for <font color="Olive" title="b2">iC</font> being   <a href="finset_1.html#NV2" title="FINSET_1:NV.2">infinite</a>  <a href="card_1.html#NM1" title="CARD_1:NM.1">Cardinal</a> holds <br/> (  <a href="waybel23.html#K2" title="WAYBEL23:func.2">weight</a> <font color="Olive" title="b1">TM</font> <a href="ordinal1.html#R1" title="ORDINAL1:pred.1">c=</a> <font color="Olive" title="b2">iC</font> iff  for <font color="Olive" title="b3">Am</font> being   <a href="struct_0.html#NM2" title="STRUCT_0:NM.2">Subset</a> of <font color="Olive" title="b1">TM</font>  st <font color="Olive" title="b3">Am</font> is  <a href="tex_2.html#V2" title="TEX_2:attr.2">discrete</a>  holds <br/> <a href="card_1.html#K1" title="CARD_1:func.1">card</a> <font color="Olive" title="b3">Am</font> <a href="ordinal1.html#R1" title="ORDINAL1:pred.1">c=</a> <font color="Olive" title="b2">iC</font> )</div></div>
