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Proof step 4 from proof filt-dups (previous step)

dups(filter(a ' + x0, y)), ∀ y0. ¬ dups(filter(x0, y0)) ⊦ a ∈ x0, dups(x0)

Heuristic cut applied rule cut formula

And obtained the following new goals

Proof step 5:
a ∈ y, dups(filter(a ' + x0, y)), ∀ y0. ¬ dups(filter(x0, y0)) ⊦ a ∈ x0, dups(x0)
Proof step 7:
dups(filter(a ' + x0, y)), ∀ y0. ¬ dups(filter(x0, y0)) ⊦ a ∈ y, a ∈ x0, dups(x0)

Rule argument

fma: a ∈ y

Additional information

Used formulas: a ∈ y