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<div>:: <span class="kw">deftheorem </span><span class="lab"><font color="Green" title="E11">Def4</font></span>   defines <a href="aofa_l00.html#V6" title="AOFA_L00:attr.6">PC-correct</a> <a onclick="hs(this)" href="javascript:()">AOFA_L00:def 4 : <br/></a><span> for <font color="Olive" title="b1">n</font> being   <a href="ordinal1.html#NM6" title="ORDINAL1:NM.6">Nat</a><br/>  for <font color="Olive" title="b2">L</font> being    <a href="aofa_l00.html#L1" title="AOFA_L00:struct.1">PCLangSignature</a>  holds <br/> ( <font color="Olive" title="b2">L</font> is <font color="Olive" title="b1">n</font> <a href="aofa_l00.html#V6" title="AOFA_L00:attr.6">PC-correct</a>  iff (  <a href="finseq_1.html#K3" title="FINSEQ_1:func.3">len</a>  the <a href="aofa_a00.html#U7" title="AOFA_A00:sel.7">connectives</a> of <font color="Olive" title="b2">L</font> <a href="xxreal_0.html#NR2" title="XXREAL_0:NR.2">&gt;=</a> <font color="Olive" title="b1">n</font> <a href="xcmplx_0.html#K2" title="XCMPLX_0:func.2">+</a> 5 &amp;  the <a href="aofa_a00.html#U7" title="AOFA_A00:sel.7">connectives</a> of <font color="Olive" title="b2">L</font> <a href="partfun1.html#K2" title="PARTFUN1:func.2">|</a> <span class="p1"><a href="enumset1.html#K4" title="ENUMSET1:func.4">{</a><span class="default"><font color="Olive" title="b1">n</font>,<span class="p2">(<span class="default"><font color="Olive" title="b1">n</font> <a href="xcmplx_0.html#K2" title="XCMPLX_0:func.2">+</a> 1</span>)</span>,<span class="p2">(<span class="default"><font color="Olive" title="b1">n</font> <a href="xcmplx_0.html#K2" title="XCMPLX_0:func.2">+</a> 2</span>)</span>,<span class="p2">(<span class="default"><font color="Olive" title="b1">n</font> <a href="xcmplx_0.html#K2" title="XCMPLX_0:func.2">+</a> 3</span>)</span>,<span class="p2">(<span class="default"><font color="Olive" title="b1">n</font> <a href="xcmplx_0.html#K2" title="XCMPLX_0:func.2">+</a> 4</span>)</span>,<span class="p2">(<span class="default"><font color="Olive" title="b1">n</font> <a href="xcmplx_0.html#K2" title="XCMPLX_0:func.2">+</a> 5</span>)</span></span><a href="enumset1.html#K4" title="ENUMSET1:func.4">}</a></span> is  <a href="funct_1.html#V2" title="FUNCT_1:attr.2">one-to-one</a>  &amp;  the <a href="aofa_a00.html#U7" title="AOFA_A00:sel.7">connectives</a> of <font color="Olive" title="b2">L</font> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Olive" title="b1">n</font> <a href="aofa_a00.html#R1" title="AOFA_A00:pred.1">is_of_type</a> <span class="p1"><a href="finseq_1.html#K9" title="FINSEQ_1:func.9">&lt;*</a><span class="default"> the <a href="aofa_l00.html#U1" title="AOFA_L00:sel.1">formula-sort</a> of <font color="Olive" title="b2">L</font></span><a href="finseq_1.html#K9" title="FINSEQ_1:func.9">*&gt;</a></span>, the <a href="aofa_l00.html#U1" title="AOFA_L00:sel.1">formula-sort</a> of <font color="Olive" title="b2">L</font> &amp;  the <a href="aofa_a00.html#U7" title="AOFA_A00:sel.7">connectives</a> of <font color="Olive" title="b2">L</font> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <span class="p1">(<span class="default"><font color="Olive" title="b1">n</font> <a href="xcmplx_0.html#K2" title="XCMPLX_0:func.2">+</a> 5</span>)</span> <a href="aofa_a00.html#R1" title="AOFA_A00:pred.1">is_of_type</a>  <a href="xboole_0.html#K1" title="XBOOLE_0:func.1">{}</a> , the <a href="aofa_l00.html#U1" title="AOFA_L00:sel.1">formula-sort</a> of <font color="Olive" title="b2">L</font> &amp;  the <a href="aofa_a00.html#U7" title="AOFA_A00:sel.7">connectives</a> of <font color="Olive" title="b2">L</font> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <span class="p1">(<span class="default"><font color="Olive" title="b1">n</font> <a href="xcmplx_0.html#K2" title="XCMPLX_0:func.2">+</a> 1</span>)</span> <a href="aofa_a00.html#R1" title="AOFA_A00:pred.1">is_of_type</a> <span class="p1"><a href="finseq_1.html#K10" title="FINSEQ_1:func.10">&lt;*</a><span class="default"> the <a href="aofa_l00.html#U1" title="AOFA_L00:sel.1">formula-sort</a> of <font color="Olive" title="b2">L</font>, the <a href="aofa_l00.html#U1" title="AOFA_L00:sel.1">formula-sort</a> of <font color="Olive" title="b2">L</font></span><a href="finseq_1.html#K10" title="FINSEQ_1:func.10">*&gt;</a></span>, the <a href="aofa_l00.html#U1" title="AOFA_L00:sel.1">formula-sort</a> of <font color="Olive" title="b2">L</font> &amp;  ...  &amp;  the <a href="aofa_a00.html#U7" title="AOFA_A00:sel.7">connectives</a> of <font color="Olive" title="b2">L</font> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <span class="p1">(<span class="default"><font color="Olive" title="b1">n</font> <a href="xcmplx_0.html#K2" title="XCMPLX_0:func.2">+</a> 4</span>)</span> <a href="aofa_a00.html#R1" title="AOFA_A00:pred.1">is_of_type</a> <span class="p1"><a href="finseq_1.html#K10" title="FINSEQ_1:func.10">&lt;*</a><span class="default"> the <a href="aofa_l00.html#U1" title="AOFA_L00:sel.1">formula-sort</a> of <font color="Olive" title="b2">L</font>, the <a href="aofa_l00.html#U1" title="AOFA_L00:sel.1">formula-sort</a> of <font color="Olive" title="b2">L</font></span><a href="finseq_1.html#K10" title="FINSEQ_1:func.10">*&gt;</a></span>, the <a href="aofa_l00.html#U1" title="AOFA_L00:sel.1">formula-sort</a> of <font color="Olive" title="b2">L</font> ) );<br/></span></div>
