Nuprl - Pf zero_rank_valid_or_falsifiable 1 1 1 1 1 1 2 1 2 1 1

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At: zero rank valid or falsifiable 1 1 1 1 1 1 2 1 2 1 1

1. L: Sequent List
2. eqS: {Sequent=}
3. eqF: {Formula=}
4. sL.((s) = 0)
5. sL.disjoint(eqF;s.H;s.C)
6. hyp: Formula List
7. concl: Formula List
8. < hyp,concl > (eqS) L
9. disjoint(eqF;hyp;concl)
10. (v.if v(eqF) hyp3 ;v(eqF) concl3 else 3 fi) Assignment

Fhyp.(v.if v(eqF) hyp3 ;v(eqF) concl3 else 3 fi) |= F

By: Using [`eq',eqF] (BackThru Thm* eq:{T=}, P:(TProp), L:T List. xL.P(x) (z:T. z(eq) L P(z)))

Generated subgoal:

1 z:Formula. z(eqF) hyp (v.if v(eqF) hyp3 ;v(eqF) concl3 else 3 fi) |= z

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