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At: zero rank valid or falsifiable 1 1 2 1 1 1 1 1 1 1 1 1 1 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. z: Sequent
7. x: Formula
8. x(eqF) z.H
9. x(eqF) z.C
10. a: Assignment
11. Fz.H.a |= F
12. Fz.C.a | F
13. a |= x

a |= z

By: Using [`T',Formula;`eq',eqF;`P',(F. a | F);`L',z.C;`z',x] (FwdThru Thm* eq:{T=}, P:(TProp), L:T List. xL.P(x) (z:T. z(eq) L P(z)) [12])

Generated subgoal:

114. a | x
a |= z


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listequalintapplynatural_numberassert