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<div>:: <span class="kw">deftheorem </span><span class="lab"><font color="Green" title="E33">Def33</font></span>   defines <a href="zf_lang.html#K22" title="ZF_LANG:func.22">bound_in</a> <a onclick="hs(this)" href="javascript:()">ZF_LANG:def 33 : <br/></a><span> for <font color="Olive" title="b1">H</font> being   <a href="zf_lang.html#NM2" title="ZF_LANG:NM.2">ZF-formula</a>  st ( <font color="Olive" title="b1">H</font> is  <a href="zf_lang.html#V6" title="ZF_LANG:attr.6">universal</a>  or <font color="Olive" title="b1">H</font> is  <a href="zf_lang.html#V11" title="ZF_LANG:attr.11">existential</a>  ) holds <br/> for <font color="Olive">b<sub>2</sub></font> being   <a href="zf_lang.html#NM1" title="ZF_LANG:NM.1">Variable</a> holds <br/> ( ( <font color="Olive" title="b1">H</font> is  <a href="zf_lang.html#V6" title="ZF_LANG:attr.6">universal</a>  implies ( <font color="Olive">b<sub>2</sub></font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="zf_lang.html#K22" title="ZF_LANG:func.22">bound_in</a> <font color="Olive" title="b1">H</font> iff  ex <font color="Olive" title="b3">H1</font> being   <a href="zf_lang.html#NM2" title="ZF_LANG:NM.2">ZF-formula</a> st  <a href="zf_lang.html#K7" title="ZF_LANG:func.7">All</a> (<font color="Olive">b<sub>2</sub></font>,<font color="Olive" title="b3">H1</font>) <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b1">H</font> ) ) &amp; (  not <font color="Olive" title="b1">H</font> is  <a href="zf_lang.html#V6" title="ZF_LANG:attr.6">universal</a>  implies ( <font color="Olive">b<sub>2</sub></font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="zf_lang.html#K22" title="ZF_LANG:func.22">bound_in</a> <font color="Olive" title="b1">H</font> iff  ex <font color="Olive" title="b3">H1</font> being   <a href="zf_lang.html#NM2" title="ZF_LANG:NM.2">ZF-formula</a> st  <a href="zf_lang.html#K12" title="ZF_LANG:func.12">Ex</a> (<font color="Olive">b<sub>2</sub></font>,<font color="Olive" title="b3">H1</font>) <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b1">H</font> ) ) );<br/></span></div>
