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Proof step 2 from proof owner-lst1 (previous step)

⊦ (o[lst(r)] * R)[rs, cf, af] ↔ false, af(r) = o, r = null

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 3:
(o[_∃(λ x. ls(r, x))] * R)[rs, cf, af] ⊦ af(r) = o, r = null

Rule argument

Additional information

Used simplifier rules: lst-rec: ⊦ r ≠ null → lst(r) = _∃(λ x. ls(r, x));