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Proof 13.4.prf
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Proof 13.4.prf
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2.7macs:Mac OS X10.6.3FchFC1281652652574D1281653483821newFormat{p=proof{p{s(i{r&1;})r{u=uProof;s=proof;}o{c=1;s="";l="";d@}u{t()}f(t{s(i{r=fol{t="~@x Cube(x)";b()g="";}})r{u=uPremise;s=step;}o=fol_fst{c=1;s="";l="";d@f=1;}u{t()}},p{s(i{r&1;})r&5;o&6;u{t()}f(t{s(i{r=fol{t="@x (Cube(x) & Small(x))";b()g=@;}})r&15;o=fol_fst{c=1;s="";l="";d@f=1;}u{t()}},p{s(i{r&1;})r&5;o&6;u{t()}f(t{s(i{r=fol{t="";b(s=a;)g=@;}})r&15;o=fol_fst{c=1;s="";l="";d@f=1;}u{t()}},t{s(i{r=fol{t="(Cube(a) & Small(a))";b()g=@;}})r{u="u\u2200 Elim";s=fol;}o=fol_fst{c=1;s="";l="";d@f=1;}u{t(p{si&27;ss=1.0;})}},t{s(i{r=fol{t="Cube(a)";b()g=@;}})r{u="u\u2227 Elim";s=fol;}o=fol_fst{c=1;s="";l="";d@f=1;}u{t(p{si&49;ss=1.1.1;})}})},t{s(i{r=fol{t="@x Cube(x)";b()g=@;}})r{u="u\u2200 Intro";s=fol;}o=fol_fst{c=1;s="";l="";d@f=1;}u{t(p{si&35;ss=1.1.;})}},t{s(i{r=fol{t="^";b()g=@;}})r{u="u\u22A5 Intro";s=fol;}o=fol_fst{c=1;s="";l="";d@f=1;}u{t(p{si&12;ss=0;},p{si&69;ss=1.2;})}})},t{s(i{r=fol{t="~@x (Cube(x) & Small(x))";b()g=@;}})r{u="u\254 Intro";s=fol;}o=fol_fst{c=1;s="";l="";d@f=1;}u{t(p{si&21;ss=1.;})}})}g{g(s{g{r=fol{t="~@x (Cube(x) & Small(x))";b()c(l{n="t/f Connectives";a=true;},l{n=Identity;a=true;},l{n=Quantifiers;a=true;},l{n=ExMidd;a=false;},l{n=TwoTaut;a=false;},l{n=TautCon;a=true;},l{n="FO Con";a=false;},l{n=BabyAna;a=false;},l{n=TwoMore;a=false;},l{n=AnaCon;a=false;})g="";}}r{u=uFOLGoalRule;s=fol;}s(s=2;)o{c=1;s="The goal checks out.";l="The goal checks out.";d@}})}a=false;}}c=123549;s=195554;