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Proof step 12 from proof alloc (previous step)

⊦ r = null, R[rs, f, g] ↔ (a[r =>_] * R)[rs ++ r, f, g(r ; a)], r ∈ rs

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 1:
¬ r ∈ rs, r ≠ null ⊦ R[rs, f, g] ↔ (r ==>_ * R)[rs ++ r, f, g]

Rule argument

[x0lemmaarg: spec-name: heap-fun instance-name: heap-aux lemma-name: mapex-new antecedent: ¬ r ∈ rs, r ≠ null succedent: R[rs, f, g] ↔ (r ==>_ * R)[rs ++ r, f, g] substlist: [r, g, f, rs, R] → [r, g, f, rs, R] add preconditions?: F is rewrite lemma?: T current spec?: F rotate lemma?: F replace all?: T paths: ((1, 0, 1, 1, 0)) dummy: () ]

Additional information

[[CONCRETESIMPRULES : ()], [EXTRATERMS : (r, g, f, rs, R)]]