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Proof step 6 from proof nodups-rmposnodups (previous step)

∀ n0. ¬ dups(x0 -1l n0), a ∈ x0 -1l n1 ∨ dups(x0 -1l n1) ⊦ a ∈ x0, dups(x0)

Heuristic cut applied rule cut formula

And obtained the following new goals

Proof step 7:
dups(x0 -1l n1), ∀ n0. ¬ dups(x0 -1l n0), a ∈ x0 -1l n1 ∨ dups(x0 -1l n1) ⊦ a ∈ x0, dups(x0)
Proof step 9:
∀ n0. ¬ dups(x0 -1l n0), a ∈ x0 -1l n1 ∨ dups(x0 -1l n1) ⊦ dups(x0 -1l n1), a ∈ x0, dups(x0)

Rule argument

fma: dups(x0 -1l n1)

Additional information

Used formulas: dups(x0 -1l n1)