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Proof step 19 from proof mapex-new (previous step)

⊦ mk(rs ++ r, f) -- r = mk(rs, f), P(mk(rs, f)) ↔ P(mk(rs ++ r, f) -- r), r = null, r ∈ rs

User applied rule insert rewrite lemma

And obtained the following new goals

Rule argument

spec: heap name: ext seq: ⊦ H0 = H1 ↔ (∀ r. (r ∈ H0 ↔ r ∈ H1) ∧ (r ∈ H0 → H0[r] = H1[r])) subst: [H1, H0] → [mk(rs, f), mk(rs ++ r, f) -- r] flags: <all paths>

Additional information

Used terms: mk(rs, f), mk(rs ++ r, f) -- r