<?xml version="1.0"?>
<div>:: <span class="kw">deftheorem </span>   defines <a href="pencil_1.html#V1" title="PENCIL_1:attr.1">closed_under_lines</a> <a onclick="hs(this)" href="javascript:()">PENCIL_1:def 2 : <br/></a><span> for <font color="Olive" title="b1">S</font> being    <a href="pre_topc.html#L1" title="PRE_TOPC:struct.1">TopStruct</a> <br/>  for <font color="Olive" title="b2">T</font> being   <a href="struct_0.html#NM2" title="STRUCT_0:NM.2">Subset</a> of <font color="Olive" title="b1">S</font> holds <br/> ( <font color="Olive" title="b2">T</font> is  <a href="pencil_1.html#V1" title="PENCIL_1:attr.1">closed_under_lines</a>  iff  for <font color="Olive" title="b3">l</font> being   <a href="pencil_1.html#NM1" title="PENCIL_1:NM.1">Block</a> of <font color="Olive" title="b1">S</font>  st 2 <a href="ordinal1.html#R1" title="ORDINAL1:pred.1">c=</a>  <a href="card_1.html#K1" title="CARD_1:func.1">card</a> <span class="p1">(<span class="default"><font color="Olive" title="b3">l</font> <a href="subset_1.html#K9" title="SUBSET_1:func.9">/\</a> <font color="Olive" title="b2">T</font></span>)</span> holds <br/><font color="Olive" title="b3">l</font> <a href="tarski.html#R1" title="TARSKI:pred.1">c=</a> <font color="Olive" title="b2">T</font> );<br/></span></div>
