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Proof step 25 from proof lift-ex-r (previous step)

⊦ (a[_∃ rP])(Ha) ↔ (_∃ λ r. a[rP(r)])(Ha)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 24:
⊦ (a[_∃ rP])(Ha) ↔ (∃ r. (a[rP(r)])(Ha))

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ (_∃ rR)(Ha) ↔ (∃ r. rR(r)(Ha))])]]