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<div><span class="kw">theorem </span><span class="lab"><font color="Green" title="E31">Th39</font></span>: <a NAME="T39"><span class="comment"><font color="firebrick">:: ZF_LANG:39</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">F</font>, <font color="Olive" title="b2">H</font> being   <a href="zf_lang.html#NM2" title="ZF_LANG:NM.2">ZF-formula</a>  st <font color="Olive" title="b2">H</font> is  <a href="zf_lang.html#V8" title="ZF_LANG:attr.8">disjunctive</a>  holds <br/>( ( <font color="Olive" title="b1">F</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="zf_lang.html#K20" title="ZF_LANG:func.20">the_left_argument_of</a> <font color="Olive" title="b2">H</font> implies  ex <font color="Olive" title="b3">G</font> being   <a href="zf_lang.html#NM2" title="ZF_LANG:NM.2">ZF-formula</a> st <font color="Olive" title="b1">F</font> <a href="zf_lang.html#K9" title="ZF_LANG:func.9">'or'</a> <font color="Olive" title="b3">G</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b2">H</font> ) &amp; (  ex <font color="Olive" title="b3">G</font> being   <a href="zf_lang.html#NM2" title="ZF_LANG:NM.2">ZF-formula</a> st <font color="Olive" title="b1">F</font> <a href="zf_lang.html#K9" title="ZF_LANG:func.9">'or'</a> <font color="Olive" title="b3">G</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b2">H</font> implies <font color="Olive" title="b1">F</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="zf_lang.html#K20" title="ZF_LANG:func.20">the_left_argument_of</a> <font color="Olive" title="b2">H</font> ) &amp; ( <font color="Olive" title="b1">F</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="zf_lang.html#K21" title="ZF_LANG:func.21">the_right_argument_of</a> <font color="Olive" title="b2">H</font> implies  ex <font color="Olive" title="b3">G</font> being   <a href="zf_lang.html#NM2" title="ZF_LANG:NM.2">ZF-formula</a> st <font color="Olive" title="b3">G</font> <a href="zf_lang.html#K9" title="ZF_LANG:func.9">'or'</a> <font color="Olive" title="b1">F</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b2">H</font> ) &amp; (  ex <font color="Olive" title="b3">G</font> being   <a href="zf_lang.html#NM2" title="ZF_LANG:NM.2">ZF-formula</a> st <font color="Olive" title="b3">G</font> <a href="zf_lang.html#K9" title="ZF_LANG:func.9">'or'</a> <font color="Olive" title="b1">F</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b2">H</font> implies <font color="Olive" title="b1">F</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="zf_lang.html#K21" title="ZF_LANG:func.21">the_right_argument_of</a> <font color="Olive" title="b2">H</font> ) )</div></div>
