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<div><span class="kw">theorem </span><a NAME="T173"><span class="comment"><font color="firebrick">:: ZF_LANG1:173</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">H</font> being   <a href="zf_lang.html#NM2" title="ZF_LANG:NM.2">ZF-formula</a><br/>  for <font color="Olive" title="b2">x</font>, <font color="Olive" title="b3">y</font> being   <a href="zf_lang.html#NM1" title="ZF_LANG:NM.1">Variable</a>  st <font color="Olive" title="b1">H</font> is  <a href="zf_lang.html#V6" title="ZF_LANG:attr.6">universal</a>  holds <br/>(  <a href="zf_lang.html#K23" title="ZF_LANG:func.23">the_scope_of</a> <span class="p1">(<span class="default"><font color="Olive" title="b1">H</font> <a href="zf_lang1.html#K6" title="ZF_LANG1:func.6">/</a> (<font color="Olive" title="b2">x</font>,<font color="Olive" title="b3">y</font>)</span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default"><a href="zf_lang.html#K23" title="ZF_LANG:func.23">the_scope_of</a> <font color="Olive" title="b1">H</font></span>)</span> <a href="zf_lang1.html#K6" title="ZF_LANG1:func.6">/</a> (<font color="Olive" title="b2">x</font>,<font color="Olive" title="b3">y</font>) &amp; (  <a href="zf_lang.html#K22" title="ZF_LANG:func.22">bound_in</a> <font color="Olive" title="b1">H</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b2">x</font> implies  <a href="zf_lang.html#K22" title="ZF_LANG:func.22">bound_in</a> <span class="p1">(<span class="default"><font color="Olive" title="b1">H</font> <a href="zf_lang1.html#K6" title="ZF_LANG1:func.6">/</a> (<font color="Olive" title="b2">x</font>,<font color="Olive" title="b3">y</font>)</span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b3">y</font> ) &amp; (  <a href="zf_lang.html#K22" title="ZF_LANG:func.22">bound_in</a> <font color="Olive" title="b1">H</font> <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a> <font color="Olive" title="b2">x</font> implies  <a href="zf_lang.html#K22" title="ZF_LANG:func.22">bound_in</a> <span class="p1">(<span class="default"><font color="Olive" title="b1">H</font> <a href="zf_lang1.html#K6" title="ZF_LANG1:func.6">/</a> (<font color="Olive" title="b2">x</font>,<font color="Olive" title="b3">y</font>)</span>)</span> <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> ) )</div></div>
