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

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

1. L: Sequent List
2. eqS: {Sequent=}
3. eqF: {Formula=}
4. sL.((s) = 0)
5. sL.disjoint(eqF;s.H;s.C)
6. x: Sequent
7. x(eqS) L
8. disjoint(eqF;x.H;x.C)
9. (v.if v(eqF) x.H3 ;v(eqF) x.C3 else 3 fi) Assignment

sL.(v.if v(eqF) x.H3 ;v(eqF) x.C3 else 3 fi) | s

By: Using [`x',x;`eq',eqS] (BackThru Thm* eq:{T=}, P:(TProp), x:T, L:T List. x(eq) L P(x) yL.P(y))

Generated subgoals:

1 x(eqS) L

2 (v.if v(eqF) x.H3 ;v(eqF) x.C3 else 3 fi) | x

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