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<div><span class="kw">theorem </span><span class="lab"><font color="Green" title="E8">Th8</font></span>: <a NAME="T8"><span class="comment"><font color="firebrick">:: ZFMODEL2:8</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">x1</font>, <font color="Olive" title="b2">x2</font>, <font color="Olive" title="b3">x3</font>, <font color="Olive" title="b4">x4</font> being   <a href="zf_lang.html#NM1" title="ZF_LANG:NM.1">Variable</a><br/>  for <font color="Olive" title="b5">M</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="b6">m</font>, <font color="Olive" title="b7">m1</font>, <font color="Olive" title="b8">m2</font>, <font color="Olive" title="b9">m3</font>, <font color="Olive" title="b10">m4</font> being    <a href="subset_1.html#M1" title="SUBSET_1:mode.1">Element</a> of <font color="Olive" title="b5">M</font><br/>  for <font color="Olive" title="b11">v</font> being   <a href="funct_2.html#NM1" title="FUNCT_2:NM.1">Function</a> of <a href="zf_lang.html#K1" title="ZF_LANG:func.1">VAR</a>,<font color="Olive" title="b5">M</font> holds <br/> ( <span class="p1">(<span class="default"><span class="p2">(<span class="default"><font color="Olive" title="b11">v</font> <a href="zf_lang1.html#K2" title="ZF_LANG1:func.2">/</a> (<font color="Olive" title="b1">x1</font>,<font color="Olive" title="b7">m1</font>)</span>)</span> <a href="zf_lang1.html#K2" title="ZF_LANG1:func.2">/</a> (<font color="Olive" title="b2">x2</font>,<font color="Olive" title="b8">m2</font>)</span>)</span> <a href="zf_lang1.html#K2" title="ZF_LANG1:func.2">/</a> (<font color="Olive" title="b1">x1</font>,<font color="Olive" title="b6">m</font>) <a href="funct_2.html#R2" title="FUNCT_2:pred.2">=</a> <span class="p1">(<span class="default"><font color="Olive" title="b11">v</font> <a href="zf_lang1.html#K2" title="ZF_LANG1:func.2">/</a> (<font color="Olive" title="b2">x2</font>,<font color="Olive" title="b8">m2</font>)</span>)</span> <a href="zf_lang1.html#K2" title="ZF_LANG1:func.2">/</a> (<font color="Olive" title="b1">x1</font>,<font color="Olive" title="b6">m</font>) &amp; <span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><font color="Olive" title="b11">v</font> <a href="zf_lang1.html#K2" title="ZF_LANG1:func.2">/</a> (<font color="Olive" title="b1">x1</font>,<font color="Olive" title="b7">m1</font>)</span>)</span> <a href="zf_lang1.html#K2" title="ZF_LANG1:func.2">/</a> (<font color="Olive" title="b2">x2</font>,<font color="Olive" title="b8">m2</font>)</span>)</span> <a href="zf_lang1.html#K2" title="ZF_LANG1:func.2">/</a> (<font color="Olive" title="b3">x3</font>,<font color="Olive" title="b9">m3</font>)</span>)</span> <a href="zf_lang1.html#K2" title="ZF_LANG1:func.2">/</a> (<font color="Olive" title="b1">x1</font>,<font color="Olive" title="b6">m</font>) <a href="funct_2.html#R2" title="FUNCT_2:pred.2">=</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><font color="Olive" title="b11">v</font> <a href="zf_lang1.html#K2" title="ZF_LANG1:func.2">/</a> (<font color="Olive" title="b2">x2</font>,<font color="Olive" title="b8">m2</font>)</span>)</span> <a href="zf_lang1.html#K2" title="ZF_LANG1:func.2">/</a> (<font color="Olive" title="b3">x3</font>,<font color="Olive" title="b9">m3</font>)</span>)</span> <a href="zf_lang1.html#K2" title="ZF_LANG1:func.2">/</a> (<font color="Olive" title="b1">x1</font>,<font color="Olive" title="b6">m</font>) &amp; <span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><font color="Olive" title="b11">v</font> <a href="zf_lang1.html#K2" title="ZF_LANG1:func.2">/</a> (<font color="Olive" title="b1">x1</font>,<font color="Olive" title="b7">m1</font>)</span>)</span> <a href="zf_lang1.html#K2" title="ZF_LANG1:func.2">/</a> (<font color="Olive" title="b2">x2</font>,<font color="Olive" title="b8">m2</font>)</span>)</span> <a href="zf_lang1.html#K2" title="ZF_LANG1:func.2">/</a> (<font color="Olive" title="b3">x3</font>,<font color="Olive" title="b9">m3</font>)</span>)</span> <a href="zf_lang1.html#K2" title="ZF_LANG1:func.2">/</a> (<font color="Olive" title="b4">x4</font>,<font color="Olive" title="b10">m4</font>)</span>)</span> <a href="zf_lang1.html#K2" title="ZF_LANG1:func.2">/</a> (<font color="Olive" title="b1">x1</font>,<font color="Olive" title="b6">m</font>) <a href="funct_2.html#R2" title="FUNCT_2:pred.2">=</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><font color="Olive" title="b11">v</font> <a href="zf_lang1.html#K2" title="ZF_LANG1:func.2">/</a> (<font color="Olive" title="b2">x2</font>,<font color="Olive" title="b8">m2</font>)</span>)</span> <a href="zf_lang1.html#K2" title="ZF_LANG1:func.2">/</a> (<font color="Olive" title="b3">x3</font>,<font color="Olive" title="b9">m3</font>)</span>)</span> <a href="zf_lang1.html#K2" title="ZF_LANG1:func.2">/</a> (<font color="Olive" title="b4">x4</font>,<font color="Olive" title="b10">m4</font>)</span>)</span> <a href="zf_lang1.html#K2" title="ZF_LANG1:func.2">/</a> (<font color="Olive" title="b1">x1</font>,<font color="Olive" title="b6">m</font>) )</div></div>
