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Proof step 4 from proof lift-ex-o (previous step)

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

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 5:
⊦ R[rs, f, g] ↔ R(mk(rs, f, g))
Proof step 6:
⊦ a[_∃ oP](mk(rs, f, g)) ↔ (_∃(λ o, a0. a[oP(o)]))[rs, f, g]

Rule argument

spec: heap-fun, inst: heap-aux name: apply seq: ⊦ R[rs, f, g] ↔ R(mk(rs, f, g)) subst: [g, f, rs, R] → [g, f, rs, a[_∃ oP]] flags: <all paths>

Additional information

Used terms: g, f, rs, a[_∃ oP]