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<div><span class="kw">theorem </span><a NAME="T21"><span class="comment"><font color="firebrick">:: FOMODEL4:21</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">U</font> being   non  <a href="xboole_0.html#V1" title="XBOOLE_0:attr.1">empty</a>   <a href="hidden.html#M2" title="HIDDEN:mode.2">set</a> <br/>  for <font color="Olive" title="b2">S2</font> being   <a href="fomodel1.html#NM2" title="FOMODEL1:NM.2">Language</a><br/>  for <font color="Olive" title="b3">X2</font> being   <a href="card_3.html#V4" title="CARD_3:attr.4">countable</a>  <a href="subset_1.html#NM2" title="SUBSET_1:NM.2">Subset</a> of <span class="p1">(<span class="default"><a href="fomodel2.html#K30" title="FOMODEL2:func.30">AllFormulasOf</a> <font color="Olive" title="b2">S2</font></span>)</span><br/>  for <font color="Olive" title="b4">I2</font> being    <a href="subset_1.html#M2" title="SUBSET_1:mode.2">Element</a> of <font color="Olive" title="b1">U</font> <a href="fomodel2.html#K15" title="FOMODEL2:func.15">-InterpretersOf</a> <font color="Olive" title="b2">S2</font>  st <font color="Olive" title="b3">X2</font> is <font color="Olive" title="b4">I2</font> <a href="fomodel2.html#V10" title="FOMODEL2:attr.10">-satisfied</a>  holds <br/> ex <font color="Olive" title="b5">U1</font> being   non  <a href="xboole_0.html#V1" title="XBOOLE_0:attr.1">empty</a>   <a href="card_3.html#V4" title="CARD_3:attr.4">countable</a>   <a href="hidden.html#M2" title="HIDDEN:mode.2">set</a>  ex <font color="Olive" title="b6">I1</font> being    <a href="subset_1.html#M2" title="SUBSET_1:mode.2">Element</a> of <font color="Olive" title="b5">U1</font> <a href="fomodel2.html#K15" title="FOMODEL2:func.15">-InterpretersOf</a> <font color="Olive" title="b2">S2</font> st <font color="Olive" title="b3">X2</font> is <font color="Olive" title="b6">I1</font> <a href="fomodel2.html#V10" title="FOMODEL2:attr.10">-satisfied</a> </div></div>
