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Proof step 10 from proof nodups-rmposnodups (previous step)

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

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 11:
a ∈ x0 -p n1, ∀ n0. ¬ dups(x0 -p n0) ⊦ dups(x0 -p n1), dups(x0), a ∈ x0

Rule argument

Additional information