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Proof step 3 from proof lift-ex-o (previous step)

⊦ ∀ rs, f, g. a[_∃ oP][rs, f, g] ↔ (_∃(λ o, a0. a[oP(o)]))[rs, f, g]

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Rule argument

Additional information