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Proof step 26 from proof lift-ex-o (conclusion)

⊦ a[_∃ oP] = _∃ λ o, a0. a[oP(o)]

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 1:
⊦ R0 = R1 ↔ (∀ rs, f, g. R0[rs, f, g] ↔ R1[rs, f, g])

Rule argument

[x0lemmaarg: spec-name: heap-fun instance-name: heap-aux lemma-name: mk-ext antecedent: succedent: R0 = R1 ↔ (∀ rs, f, g. R0[rs, f, g] ↔ R1[rs, f, g]) substlist: [R1, R0] → [_∃ λ o, a0. a[oP(o)], a[_∃ oP]] add preconditions?: F is rewrite lemma?: T current spec?: F rotate lemma?: F replace all?: T paths: ((1, 0, 0)) dummy: () ]

Additional information

[[CONCRETESIMPRULES : ()], [EXTRATERMS : (_∃ λ o, a0. a[oP(o)], a[_∃ oP])]]