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Proof step 38 from proof fits-no-refval (previous step)

st[r -- sk0] = refval(r0), sks0 ⊑ sk0 ' + sks, fits(r0, sks + sk ', st), is_classtype(st[r -- _type] .type) → sk0 ∈ instfields(st[r -- _type] .type .class), is_arraytype(st[r -- _type] .type) → is_indexkey(sk0) ∧ 0 ≤ sk0 .index ∧ sk0 .index < st[r -- _length] .intval, ∀ sks0, r, sk, st, str. sks0 ⊑ sks ∧ fits(r, sks + sk ', st) → is_referencevalue(st[r -- sks0]) ∨ junkref(str, r, st) ⊦ r = jvmref, is_referencevalue(st[r -- sks0]), junkref(str, r, st)

User applied rule insert rewrite lemma

And obtained the following new goals

Rule argument

[x0lemmaarg: spec-name: list-last instance-name: storekeys lemma-name: prefix-rec antecedent: succedent: sks ≠ [] → (sks ⊑ sk ' + sks0 ↔ sks .first = sk ∧ sks .rest ⊑ sks0) substlist: [sks0, sk, sks] → [sks, sk0, sks0] add preconditions?: F is rewrite lemma?: T current spec?: F rotate lemma?: F replace all?: T paths: ((0, 0, 1)) dummy: () ]

Additional information

[[CONCRETESIMPRULES : ([CSIMPNAMEDSEQ : list-last, storekeys, prefix-nil, ⊦ [] ⊑ sks], [CSIMPNAMEDSEQ : storefuns, , lookup-empty, ⊦ st[r -- []] = refval(r)], [CSIMPNAMEDSEQ : javavalue, , test-19, ⊦ is_referencevalue(refval(r))])], [EXTRATERMS : (sks, sk0, sks0)]]