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Proof step 8 from proof lift-ex-o (previous step)

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

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 9:
⊦ a[_∃ oP](mk(rs, f, g)) ↔ (∃ o. a[oP(o)](mk(rs, f, g)))

Rule argument

Additional information

Used simplifier rules: ⊦ (_∃ oR)(Ha) ↔ (∃ o, a. oR(o, a)(Ha)); (s)