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Proof step 72 from proof unchanged-lookup-list-generic (previous step)

unchanged(str, r, st, st0), fits(r, sk ' + sks0, st0), fits(r, sk ' + sks0, st), ∀ r, st0, st, str. fits(r, sks0, st0) ∧ fits(r, sks0, st) ∧ unchanged(str, r, st, st0) → st[r -- sks0] = st0[r -- sks0] ∨ junkref(str, r, st) ∨ junkref(str, r, st0) ⊦ sks0 = [], st[st[r -- sk] .refval -- sks0] = st0[st0[r -- sk] .refval -- sks0], junkref(str, r, st), junkref(str, r, st0)

User applied rule insert rewrite lemma

And obtained the following new goals

Rule argument

[x0lemmaarg: spec-name: instance-name: lemma-name: fits-storekeys-rec antecedent: succedent: fits(r, sk ' + sks, st) ↔ r ≠ jvmref ∧ is_referencevalue(st[r -- sk]) ∧ ( is_classtype(st[r -- _type] .type) → sk ∈ instfields(st[r -- _type] .type .class)) ∧ ( is_arraytype(st[r -- _type] .type) → is_indexkey(sk) ∧ 0 ≤ sk .index ∧ sk .index < st[r -- _length] .intval) ∧ fits(st[r -- sk] .refval, sks, st) substlist: [st, sks, sk, r] → [st0, sks0, sk, r] add preconditions?: F is rewrite lemma?: T current spec?: T rotate lemma?: F replace all?: T paths: ((0, 0, 1)) dummy: () ]

Additional information

[[CONCRETESIMPRULES : ()], [EXTRATERMS : (st0, sks0, sk, r)]]