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Proof step 19 from proof lift-ex-o (previous step)

a[oP(o)](mk(rs, f, g)) ⊦ (_∃ oP)(mk(rs, f)) ∧ (∀ r. r ∈ rs → g(r) = a)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 20:
a[oP(o)](mk(rs, f, g)) ⊦ (∃ o. oP(o)(mk(rs, f))) ∧ (r ∈ rs → g(r) = a)

Rule argument

Additional information

Used simplifier rules: ⊦ (_∃ oP)(H) ↔ (∃ o. oP(o)(H)); (s)